LMFDB - Embedded newform 98.2.g.b.65.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(9,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(42))

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

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

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

chi := DirichletCharacter("98.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.g (of order $21$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$2$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			65.1
Character	$\chi$	$=$	98.65
Dual form			98.2.g.b.95.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.365341 + 0.930874i) q^{2} +(0.0722934 + 0.964688i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(-3.07015 + 2.09319i) q^{5} +(-0.871591 + 0.419736i) q^{6} +(2.50800 - 0.842585i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(2.04110 - 0.307646i) q^{9} +O(q^{10})$	\(q+(0.365341 + 0.930874i) q^{2} +(0.0722934 + 0.964688i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(-3.07015 + 2.09319i) q^{5} +(-0.871591 + 0.419736i) q^{6} +(2.50800 - 0.842585i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(2.04110 - 0.307646i) q^{9} +(-3.07015 - 2.09319i) q^{10} +(0.852593 + 0.128508i) q^{11} +(-0.709149 - 0.657995i) q^{12} +(2.83002 - 3.54874i) q^{13} +(1.70061 + 2.02680i) q^{14} +(-2.24123 - 2.81041i) q^{15} +(0.0747301 - 0.997204i) q^{16} +(-0.441239 + 0.136104i) q^{17} +(1.03208 + 1.78761i) q^{18} +(-2.39911 + 4.15538i) q^{19} +(0.826846 - 3.62265i) q^{20} +(0.994144 + 2.35852i) q^{21} +(0.191863 + 0.840605i) q^{22} +(-2.97467 - 0.917563i) q^{23} +(0.353428 - 0.900521i) q^{24} +(3.21765 - 8.19844i) q^{25} +(4.33735 + 1.33790i) q^{26} +(1.09014 + 4.77620i) q^{27} +(-1.26539 + 2.32353i) q^{28} +(1.91639 - 8.39624i) q^{29} +(1.79733 - 3.11306i) q^{30} +(-3.17915 - 5.50645i) q^{31} +(0.955573 - 0.294755i) q^{32} +(-0.0623330 + 0.831776i) q^{33} +(-0.287899 - 0.361013i) q^{34} +(-5.93623 + 7.83658i) q^{35} +(-1.28698 + 1.61382i) q^{36} +(5.89702 + 5.47163i) q^{37} +(-4.74462 - 0.715137i) q^{38} +(3.62802 + 2.47354i) q^{39} +(3.67431 - 0.553813i) q^{40} +(-2.40155 - 1.15653i) q^{41} +(-1.83228 + 1.78709i) q^{42} +(-9.27266 + 4.46548i) q^{43} +(-0.712402 + 0.485707i) q^{44} +(-5.62250 + 5.21692i) q^{45} +(-0.232632 - 3.10426i) q^{46} +(0.0212451 + 0.0541316i) q^{47} +0.967393 q^{48} +(5.58010 - 4.22640i) q^{49} +8.80725 q^{50} +(-0.163197 - 0.415819i) q^{51} +(0.339200 + 4.52631i) q^{52} +(-3.50264 + 3.24998i) q^{53} +(-4.04776 + 2.75972i) q^{54} +(-2.88658 + 1.39010i) q^{55} +(-2.62521 - 0.329036i) q^{56} +(-4.18208 - 2.01398i) q^{57} +(8.51597 - 1.28358i) q^{58} +(8.57296 + 5.84494i) q^{59} +(3.55450 + 0.535755i) q^{60} +(-10.6442 - 9.87635i) q^{61} +(3.96434 - 4.97112i) q^{62} +(4.85984 - 2.49137i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.26040 + 16.8189i) q^{65} +(-0.797052 + 0.245858i) q^{66} +(0.386680 + 0.669750i) q^{67} +(0.230877 - 0.399890i) q^{68} +(0.670114 - 2.93596i) q^{69} +(-9.46361 - 2.66286i) q^{70} +(-0.541418 - 2.37211i) q^{71} +(-1.97245 - 0.608419i) q^{72} +(1.02764 - 2.61837i) q^{73} +(-2.93898 + 7.48839i) q^{74} +(8.14155 + 2.51134i) q^{75} +(-1.06770 - 4.67791i) q^{76} +(2.24658 - 0.396085i) q^{77} +(-0.977090 + 4.28091i) q^{78} +(1.59705 - 2.76617i) q^{79} +(1.85791 + 3.21799i) q^{80} +(1.38861 - 0.428328i) q^{81} +(0.199195 - 2.65807i) q^{82} +(-0.787559 - 0.987568i) q^{83} +(-2.33296 - 1.05273i) q^{84} +(1.06978 - 1.34146i) q^{85} +(-7.54448 - 7.00025i) q^{86} +(8.23830 + 1.24172i) q^{87} +(-0.712402 - 0.485707i) q^{88} +(1.62750 - 0.245307i) q^{89} +(-6.91042 - 3.32788i) q^{90} +(4.10758 - 11.2848i) q^{91} +(2.80469 - 1.35067i) q^{92} +(5.08218 - 3.46497i) q^{93} +(-0.0426279 + 0.0395530i) q^{94} +(-1.33238 - 17.7794i) q^{95} +(0.353428 + 0.900521i) q^{96} +6.58096 q^{97} +(5.97289 + 3.65029i) q^{98} +1.77976 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9}+O(q^{10}) $ 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{10}{21}\right)$

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 $

$2$	0.365341	+	0.930874i	0.258335	+	0.658227i
$2$	0.365341	+	0.930874i	0.258335	+	0.658227i
$3$	0.0722934	+	0.964688i	0.0417386	+	0.556963i	0.978399	+	0.206725i	$0.0662804\pi$
$3$	0.0722934	+	0.964688i	0.0417386	+	0.556963i	−0.936661	+	0.350238i	$0.886101\pi$
$4$	−0.733052	+	0.680173i	−0.366526	+	0.340086i
$5$	−3.07015	+	2.09319i	−1.37301	+	0.936103i	−0.373046	+	0.927813i	$0.621687\pi$
$5$	−3.07015	+	2.09319i	−1.37301	+	0.936103i	−0.999966	+	0.00829032i	$0.997361\pi$
$6$	−0.871591	+	0.419736i	−0.355826	+	0.171357i
$7$	2.50800	−	0.842585i	0.947934	−	0.318467i
$7$	2.50800	−	0.842585i	0.947934	−	0.318467i
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	2.04110	−	0.307646i	0.680365	−	0.102549i
$10$	−3.07015	−	2.09319i	−0.970866	−	0.661925i
$11$	0.852593	+	0.128508i	0.257066	+	0.0387465i	0.276311	−	0.961068i	$-0.410888\pi$
$11$	0.852593	+	0.128508i	0.257066	+	0.0387465i	−0.0192446	+	0.999815i	$0.506126\pi$
$12$	−0.709149	−	0.657995i	−0.204714	−	0.189947i
$13$	2.83002	−	3.54874i	0.784908	−	0.984243i	−0.215063	−	0.976600i	$-0.568996\pi$
$13$	2.83002	−	3.54874i	0.784908	−	0.984243i	0.999971	−	0.00764279i	$-0.00243280\pi$
$14$	1.70061	+	2.02680i	0.454508	+	0.541685i
$15$	−2.24123	−	2.81041i	−0.578682	−	0.725645i
$16$	0.0747301	−	0.997204i	0.0186825	−	0.249301i
$17$	−0.441239	+	0.136104i	−0.107016	+	0.0330101i	−0.347801	−	0.937568i	$-0.613071\pi$
$17$	−0.441239	+	0.136104i	−0.107016	+	0.0330101i	0.240785	+	0.970579i	$0.422595\pi$
$18$	1.03208	+	1.78761i	0.243262	+	0.421343i
$19$	−2.39911	+	4.15538i	−0.550393	+	0.953309i	0.447853	+	0.894107i	$0.352189\pi$
$19$	−2.39911	+	4.15538i	−0.550393	+	0.953309i	−0.998246	+	0.0592014i	$0.981145\pi$
$20$	0.826846	−	3.62265i	0.184888	−	0.810049i
$21$	0.994144	+	2.35852i	0.216940	+	0.514672i
$22$	0.191863	+	0.840605i	0.0409053	+	0.179218i
$23$	−2.97467	−	0.917563i	−0.620261	−	0.191325i	−0.0313307	−	0.999509i	$-0.509974\pi$
$23$	−2.97467	−	0.917563i	−0.620261	−	0.191325i	−0.588930	+	0.808184i	$0.700451\pi$
$24$	0.353428	−	0.900521i	0.0721433	−	0.183818i
$25$	3.21765	−	8.19844i	0.643530	−	1.63969i
$26$	4.33735	+	1.33790i	0.850625	+	0.262383i
$27$	1.09014	+	4.77620i	0.209797	+	0.919179i
$28$	−1.26539	+	2.32353i	−0.239136	+	0.439106i
$29$	1.91639	−	8.39624i	0.355864	−	1.55914i	−0.407519	−	0.913197i	$-0.633606\pi$
$29$	1.91639	−	8.39624i	0.355864	−	1.55914i	0.763383	−	0.645946i	$-0.223537\pi$
$30$	1.79733	−	3.11306i	0.328145	−	0.568364i
$31$	−3.17915	−	5.50645i	−0.570993	−	0.988988i	−0.996464	−	0.0840166i	$-0.973225\pi$
$31$	−3.17915	−	5.50645i	−0.570993	−	0.988988i	0.425472	−	0.904972i	$-0.360108\pi$
$32$	0.955573	−	0.294755i	0.168923	−	0.0521058i
$33$	−0.0623330	+	0.831776i	−0.0108508	+	0.144794i
$34$	−0.287899	−	0.361013i	−0.0493742	−	0.0619133i
$35$	−5.93623	+	7.83658i	−1.00341	+	1.32462i
$36$	−1.28698	+	1.61382i	−0.214496	+	0.268970i
$37$	5.89702	+	5.47163i	0.969464	+	0.899531i	0.994973	−	0.100144i	$-0.0319302\pi$
$37$	5.89702	+	5.47163i	0.969464	+	0.899531i	−0.0255091	+	0.999675i	$0.508121\pi$
$38$	−4.74462	−	0.715137i	−0.769679	−	0.116011i
$39$	3.62802	+	2.47354i	0.580948	+	0.396084i
$40$	3.67431	−	0.553813i	0.580959	−	0.0875655i
$41$	−2.40155	−	1.15653i	−0.375060	−	0.180619i	0.236851	−	0.971546i	$-0.423885\pi$
$41$	−2.40155	−	1.15653i	−0.375060	−	0.180619i	−0.611911	+	0.790927i	$0.709599\pi$
$42$	−1.83228	+	1.78709i	−0.282728	+	0.275754i
$43$	−9.27266	+	4.46548i	−1.41407	+	0.680979i	−0.975961	−	0.217944i	$-0.930065\pi$
$43$	−9.27266	+	4.46548i	−1.41407	+	0.680979i	−0.438106	+	0.898923i	$0.644351\pi$
$44$	−0.712402	+	0.485707i	−0.107399	+	0.0732232i
$45$	−5.62250	+	5.21692i	−0.838153	+	0.777692i
$46$	−0.232632	−	3.10426i	−0.0342998	−	0.457698i
$47$	0.0212451	+	0.0541316i	0.00309891	+	0.00789590i	0.932415	−	0.361390i	$-0.117698\pi$
$47$	0.0212451	+	0.0541316i	0.00309891	+	0.00789590i	−0.929316	+	0.369286i	$0.879602\pi$
$48$	0.967393			0.139631
$49$	5.58010	−	4.22640i	0.797157	−	0.603772i
$50$	8.80725			1.24553
$51$	−0.163197	−	0.415819i	−0.0228521	−	0.0582263i
$52$	0.339200	+	4.52631i	0.0470386	+	0.627687i
$53$	−3.50264	+	3.24998i	−0.481125	+	0.446419i	−0.883067	−	0.469246i	$-0.844526\pi$
$53$	−3.50264	+	3.24998i	−0.481125	+	0.446419i	0.401943	+	0.915665i	$0.368335\pi$
$54$	−4.04776	+	2.75972i	−0.550831	+	0.375550i
$55$	−2.88658	+	1.39010i	−0.389226	+	0.187441i
$56$	−2.62521	−	0.329036i	−0.350809	−	0.0439693i
$57$	−4.18208	−	2.01398i	−0.553930	−	0.266759i
$58$	8.51597	−	1.28358i	1.11820	−	0.168542i
$59$	8.57296	+	5.84494i	1.11610	+	0.760947i	0.973467	−	0.228828i	$-0.0734894\pi$
$59$	8.57296	+	5.84494i	1.11610	+	0.760947i	0.142637	+	0.989775i	$0.454442\pi$
$60$	3.55450	+	0.535755i	0.458884	+	0.0691656i
$61$	−10.6442	−	9.87635i	−1.36285	−	1.26454i	−0.932165	−	0.362033i	$-0.882083\pi$
$61$	−10.6442	−	9.87635i	−1.36285	−	1.26454i	−0.430681	−	0.902504i	$-0.641727\pi$
$62$	3.96434	−	4.97112i	0.503471	−	0.631333i
$63$	4.85984	−	2.49137i	0.612283	−	0.313883i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−1.26040	+	16.8189i	−0.156334	+	2.08613i
$66$	−0.797052	+	0.245858i	−0.0981103	+	0.0302630i
$67$	0.386680	+	0.669750i	0.0472405	+	0.0818230i	0.888679	−	0.458530i	$-0.151624\pi$
$67$	0.386680	+	0.669750i	0.0472405	+	0.0818230i	−0.841438	+	0.540353i	$0.818291\pi$
$68$	0.230877	−	0.399890i	0.0279979	−	0.0484938i
$69$	0.670114	−	2.93596i	0.0806722	−	0.353448i
$70$	−9.46361	−	2.66286i	−1.13112	−	0.318272i
$71$	−0.541418	−	2.37211i	−0.0642545	−	0.281517i	0.932586	−	0.360948i	$-0.117547\pi$
$71$	−0.541418	−	2.37211i	−0.0642545	−	0.281517i	−0.996840	+	0.0794309i	$0.974690\pi$
$72$	−1.97245	−	0.608419i	−0.232455	−	0.0717029i
$73$	1.02764	−	2.61837i	0.120276	−	0.306457i	−0.858038	−	0.513586i	$-0.828317\pi$
$73$	1.02764	−	2.61837i	0.120276	−	0.306457i	0.978314	+	0.207129i	$0.0664119\pi$
$74$	−2.93898	+	7.48839i	−0.341649	+	0.870508i
$75$	8.14155	+	2.51134i	0.940105	+	0.289984i
$76$	−1.06770	−	4.67791i	−0.122474	−	0.536593i
$77$	2.24658	−	0.396085i	0.256021	−	0.0451381i
$78$	−0.977090	+	4.28091i	−0.110634	+	0.484718i
$79$	1.59705	−	2.76617i	0.179682	−	0.311218i	−0.762090	−	0.647471i	$-0.775827\pi$
$79$	1.59705	−	2.76617i	0.179682	−	0.311218i	0.941772	+	0.336253i	$0.109160\pi$
$80$	1.85791	+	3.21799i	0.207720	+	0.359782i
$81$	1.38861	−	0.428328i	0.154290	−	0.0475921i
$82$	0.199195	−	2.65807i	0.0219974	−	0.293535i
$83$	−0.787559	−	0.987568i	−0.0864458	−	0.108400i	0.736728	−	0.676190i	$-0.236370\pi$
$83$	−0.787559	−	0.987568i	−0.0864458	−	0.108400i	−0.823173	+	0.567790i	$0.807799\pi$
$84$	−2.33296	−	1.05273i	−0.254547	−	0.114862i
$85$	1.06978	−	1.34146i	0.116034	−	0.145501i
$86$	−7.54448	−	7.00025i	−0.813542	−	0.754857i
$87$	8.23830	+	1.24172i	0.883238	+	0.133127i
$88$	−0.712402	−	0.485707i	−0.0759423	−	0.0517766i
$89$	1.62750	−	0.245307i	0.172515	−	0.0260025i	−0.0622166	−	0.998063i	$-0.519817\pi$
$89$	1.62750	−	0.245307i	0.172515	−	0.0260025i	0.234732	+	0.972060i	$0.424579\pi$
$90$	−6.91042	−	3.32788i	−0.728423	−	0.350790i
$91$	4.10758	−	11.2848i	0.430591	−	1.18296i
$92$	2.80469	−	1.35067i	0.292409	−	0.140817i
$93$	5.08218	−	3.46497i	0.526997	−	0.359301i
$94$	−0.0426279	+	0.0395530i	−0.00439674	+	0.00407958i
$95$	−1.33238	−	17.7794i	−0.136700	−	1.82413i
$96$	0.353428	+	0.900521i	0.0360716	+	0.0919090i
$97$	6.58096			0.668195			0.334098	−	0.942538i	$-0.391568\pi$
$97$	6.58096			0.668195			0.334098	+	0.942538i	$0.391568\pi$
$98$	5.97289	+	3.65029i	0.603353	+	0.368735i
$99$	1.77976			0.178872
$100$	3.21765	+	8.19844i	0.321765	+	0.819844i
$101$	0.0441794	+	0.589533i	0.00439601	+	0.0586607i	0.998970	−	0.0453674i	$-0.0144459\pi$
$101$	0.0441794	+	0.589533i	0.00439601	+	0.0586607i	−0.994574	+	0.104028i	$0.966827\pi$
$102$	0.327452	−	0.303831i	0.0324226	−	0.0300838i
$103$	−2.37336	+	1.61813i	−0.233854	+	0.159439i	−0.674578	−	0.738204i	$-0.735674\pi$
$103$	−2.37336	+	1.61813i	−0.233854	+	0.159439i	0.440723	+	0.897643i	$0.354722\pi$
$104$	−4.08950	+	1.96940i	−0.401009	+	0.193116i
$105$	−7.98900	−	5.16008i	−0.779647	−	0.503572i
$106$	−4.30498	−	2.07317i	−0.418136	−	0.201364i
$107$	−12.8882	+	1.94258i	−1.24595	+	0.187796i	−0.738717	−	0.674015i	$-0.764568\pi$
$107$	−12.8882	+	1.94258i	−1.24595	+	0.187796i	−0.507229	+	0.861811i	$0.669330\pi$
$108$	−4.04776	−	2.75972i	−0.389496	−	0.265554i
$109$	−3.50625	−	0.528482i	−0.335838	−	0.0506194i	−0.0210414	−	0.999779i	$-0.506698\pi$
$109$	−3.50625	−	0.528482i	−0.335838	−	0.0506194i	−0.314797	+	0.949159i	$0.601936\pi$
$110$	−2.34859	−	2.17918i	−0.223930	−	0.207776i
$111$	−4.85211	+	6.08435i	−0.460541	+	0.577501i
$112$	−0.652806	−	2.56395i	−0.0616844	−	0.242271i
$113$	4.40023	+	5.51771i	0.413938	+	0.519062i	0.944468	−	0.328604i	$-0.106578\pi$
$113$	4.40023	+	5.51771i	0.413938	+	0.519062i	−0.530529	+	0.847667i	$0.678007\pi$
$114$	0.346879	−	4.62878i	0.0324882	−	0.433525i
$115$	11.0533	−	3.40949i	1.03073	−	0.317937i
$116$	4.30608	+	7.45835i	0.399810	+	0.692491i
$117$	4.68460	−	8.11396i	0.433091	−	0.750136i
$118$	−2.30885	+	10.1157i	−0.212547	+	0.931229i
$119$	−0.991947	+	0.713130i	−0.0909316	+	0.0653726i
$120$	0.799885	+	3.50452i	0.0730192	+	0.319918i
$121$	−9.80090	−	3.02318i	−0.890991	−	0.274834i
$122$	5.30488	−	13.5166i	0.480281	−	1.22374i
$123$	0.942072	−	2.40036i	0.0849438	−	0.216433i
$124$	6.07582	+	1.87414i	0.545625	+	0.168303i
$125$	3.14801	+	13.7923i	0.281566	+	1.23362i
$126$	4.09465	+	3.61370i	0.364781	+	0.321934i
$127$	−4.27276	+	18.7202i	−0.379146	+	1.66115i	0.320949	+	0.947096i	$0.395998\pi$
$127$	−4.27276	+	18.7202i	−0.379146	+	1.66115i	−0.700095	+	0.714050i	$0.746859\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	−4.97815	−	8.62240i	−0.438301	−	0.759160i
$130$	−16.1168	+	4.97137i	−1.41353	+	0.436018i
$131$	1.13679	−	15.1694i	0.0993216	−	1.32536i	−0.695506	−	0.718520i	$-0.744820\pi$
$131$	1.13679	−	15.1694i	0.0993216	−	1.32536i	0.794828	−	0.606835i	$-0.207561\pi$
$132$	−0.520058	−	0.652132i	−0.0452653	−	0.0567608i
$133$	−2.51570	+	12.4431i	−0.218139	+	1.07896i
$134$	−0.482182	+	0.604638i	−0.0416542	+	0.0522327i
$135$	−13.3444	−	12.3818i	−1.14850	−	1.06565i
$136$	0.456596	+	0.0688208i	0.0391528	+	0.00590133i
$137$	14.2141	+	9.69101i	1.21439	+	0.827959i	0.989231	−	0.146362i	$-0.0467565\pi$
$137$	14.2141	+	9.69101i	1.21439	+	0.827959i	0.225162	+	0.974321i	$0.427709\pi$
$138$	2.97783	−	0.448835i	0.253490	−	0.0382074i
$139$	8.50597	+	4.09626i	0.721467	+	0.347440i	0.758322	−	0.651880i	$-0.226020\pi$
$139$	8.50597	+	4.09626i	0.721467	+	0.347440i	−0.0368548	+	0.999321i	$0.511734\pi$
$140$	−0.978663	−	9.78228i	−0.0827121	−	0.826753i
$141$	−0.0506842	+	0.0244082i	−0.00426838	+	0.00205554i
$142$	2.01033	−	1.37062i	0.168703	−	0.115020i
$143$	2.86890	−	2.66195i	0.239909	−	0.222603i
$144$	−0.154254	−	2.05838i	−0.0128545	−	0.171532i
$145$	11.6913	+	29.7890i	0.970913	+	2.47385i
$146$	2.81281			0.232790
$147$	4.48057	+	5.07752i	0.369551	+	0.418786i
$148$	−8.04448			−0.661252
$149$	−4.33880	−	11.0551i	−0.355448	−	0.905667i	−0.991031	−	0.133634i	$-0.957335\pi$
$149$	−4.33880	−	11.0551i	−0.355448	−	0.905667i	0.635583	−	0.772033i	$-0.280760\pi$
$150$	0.636706	+	8.49625i	0.0519868	+	0.693716i
$151$	−17.3817	+	16.1278i	−1.41450	+	1.31246i	−0.528377	+	0.849010i	$0.677199\pi$
$151$	−17.3817	+	16.1278i	−1.41450	+	1.31246i	−0.886121	+	0.463453i	$0.846610\pi$
$152$	3.96447	−	2.70293i	0.321561	−	0.219237i
$153$	−0.858739	+	0.413547i	−0.0694249	+	0.0334333i
$154$	1.18947	+	1.94657i	0.0958504	+	0.156859i
$155$	21.2865	+	10.2510i	1.70977	+	0.823384i
$156$	−4.34196	+	0.654445i	−0.347635	+	0.0523976i
$157$	14.3283	+	9.76890i	1.14353	+	0.779643i	0.978419	−	0.206633i	$-0.0662506\pi$
$157$	14.3283	+	9.76890i	1.14353	+	0.779643i	0.165107	+	0.986276i	$0.447203\pi$
$158$	3.15842	+	0.476055i	0.251270	+	0.0378729i
$159$	−3.38843	−	3.14401i	−0.268720	−	0.249336i
$160$	−2.31677	+	2.90514i	−0.183157	+	0.229671i
$161$	−8.23358	+	0.205164i	−0.648897	+	0.0161692i
$162$	0.906035	+	1.13613i	0.0711848	+	0.0892629i
$163$	0.352441	−	4.70300i	0.0276053	−	0.368368i	−0.966244	−	0.257628i	$-0.917059\pi$
$163$	0.352441	−	4.70300i	0.0276053	−	0.368368i	0.993849	−	0.110739i	$-0.0353219\pi$
$164$	2.54710	−	0.785677i	0.198895	−	0.0613511i
$165$	−1.54969	−	2.68415i	−0.120644	−	0.208961i
$166$	0.631573	−	1.09392i	0.0490196	−	0.0849044i
$167$	0.442678	−	1.93950i	0.0342555	−	0.150083i	−0.954908	−	0.296902i	$-0.904046\pi$
$167$	0.442678	−	1.93950i	0.0342555	−	0.150083i	0.989163	+	0.146819i	$0.0469036\pi$
$168$	0.127632	−	2.55630i	0.00984701	−	0.197223i
$169$	−1.69173	−	7.41197i	−0.130133	−	0.570151i
$170$	1.63956	+	0.505737i	0.125749	+	0.0387883i
$171$	−3.61842	+	9.21959i	−0.276708	+	0.705040i
$172$	3.76005	−	9.58044i	0.286701	−	0.730502i
$173$	−14.7188	−	4.54014i	−1.11905	−	0.345181i	−0.320582	−	0.947221i	$-0.603879\pi$
$173$	−14.7188	−	4.54014i	−1.11905	−	0.345181i	−0.798466	+	0.602040i	$0.794355\pi$
$174$	1.85390	+	8.12247i	0.140544	+	0.615763i
$175$	1.16197	−	23.2728i	0.0878369	−	1.75926i
$176$	0.191863	−	0.840605i	0.0144622	−	0.0633630i
$177$	−5.01878	+	8.69278i	−0.377235	+	0.653390i
$178$	0.822944	+	1.42538i	0.0616822	+	0.106837i
$179$	−21.5595	+	6.65021i	−1.61143	+	0.497060i	−0.964187	−	0.265224i	$-0.914554\pi$
$179$	−21.5595	+	6.65021i	−1.61143	+	0.497060i	−0.647243	+	0.762284i	$0.724078\pi$
$180$	0.573179	−	7.64854i	0.0427223	−	0.570089i
$181$	−2.02768	−	2.54264i	−0.150717	−	0.188993i	0.700742	−	0.713415i	$-0.252853\pi$
$181$	−2.02768	−	2.54264i	−0.150717	−	0.188993i	−0.851458	+	0.524423i	$0.824281\pi$
$182$	12.0054	−	0.299150i	0.889896	−	0.0221744i
$183$	8.75809	−	10.9823i	0.647417	−	0.811835i
$184$	2.28197	+	2.11736i	0.168229	+	0.156093i
$185$	−29.5579	−	4.45513i	−2.17314	−	0.327548i
$186$	5.08218	+	3.46497i	0.372643	+	0.254064i
$187$	−0.393688	+	0.0593389i	−0.0287893	+	0.00433929i
$188$	−0.0523925	−	0.0252309i	−0.00382112	−	0.00184015i
$189$	6.75841	+	11.0602i	0.491602	+	0.804508i
$190$	16.0636	−	7.73582i	1.16538	−	0.561216i
$191$	16.2973	−	11.1113i	1.17923	−	0.803988i	0.194990	−	0.980805i	$-0.437533\pi$
$191$	16.2973	−	11.1113i	1.17923	−	0.803988i	0.984244	+	0.176818i	$0.0565803\pi$
$192$	−0.709149	+	0.657995i	−0.0511785	+	0.0474867i
$193$	−0.224097	−	2.99037i	−0.0161309	−	0.215251i	−0.999444	−	0.0333321i	$-0.989388\pi$
$193$	−0.224097	−	2.99037i	−0.0161309	−	0.215251i	0.983313	−	0.181919i	$-0.0582310\pi$
$194$	2.40429	+	6.12604i	0.172618	+	0.439824i
$195$	−16.3161			−1.16842
$196$	−1.21582	+	6.89360i	−0.0868442	+	0.492400i
$197$	−10.3077			−0.734394			−0.367197	−	0.930143i	$-0.619683\pi$
$197$	−10.3077			−0.734394			−0.367197	+	0.930143i	$0.619683\pi$
$198$	0.650218	+	1.65673i	0.0462090	+	0.117739i
$199$	−0.146455	−	1.95431i	−0.0103819	−	0.138537i	0.989604	−	0.143818i	$-0.0459381\pi$
$199$	−0.146455	−	1.95431i	−0.0103819	−	0.138537i	−0.999986	+	0.00528089i	$0.998319\pi$
$200$	−6.45617	+	5.99045i	−0.456520	+	0.423589i
$201$	−0.618146	+	0.421444i	−0.0436006	+	0.0297264i
$202$	−0.532640	+	0.256506i	−0.0374764	+	0.0180477i
$203$	−2.26825	−	22.6725i	−0.159200	−	1.59130i
$204$	0.402460	+	0.193815i	0.0281779	+	0.0135697i
$205$	9.79396	−	1.47620i	0.684040	−	0.103102i
$206$	−2.37336	−	1.61813i	−0.165360	−	0.112741i
$207$	−6.35386	−	0.957691i	−0.441624	−	0.0665641i
$208$	−3.32733	−	3.08731i	−0.230709	−	0.214066i
$209$	−2.57946	+	3.23454i	−0.178425	+	0.223738i
$210$	1.88467	−	9.32194i	0.130055	−	0.643275i
$211$	9.61250	+	12.0537i	0.661752	+	0.829811i	0.993533	−	0.113546i	$-0.0362208\pi$
$211$	9.61250	+	12.0537i	0.661752	+	0.829811i	−0.331781	+	0.943357i	$0.607649\pi$
$212$	0.357073	−	4.76480i	0.0245238	−	0.327248i
$213$	2.24920	−	0.693787i	0.154113	−	0.0475375i
$214$	−6.51687	−	11.2876i	−0.445484	−	0.771601i
$215$	19.1213	−	33.1191i	1.30406	−	2.25871i
$216$	1.09014	−	4.77620i	0.0741743	−	0.324979i
$217$	−12.6130	−	11.1315i	−0.856224	−	0.755653i
$218$	−0.789027	−	3.45695i	−0.0534397	−	0.234134i
$219$	2.60020	+	0.802057i	0.175705	+	0.0541980i
$220$	1.17050	−	2.98239i	0.0789151	−	0.201072i
$221$	−0.765719	+	1.95102i	−0.0515078	+	0.131240i
$222$	−7.43643	−	2.29384i	−0.499101	−	0.153952i
$223$	0.0817262	+	0.358066i	0.00547279	+	0.0239779i	0.977591	−	0.210515i	$-0.0675141\pi$
$223$	0.0817262	+	0.358066i	0.00547279	+	0.0239779i	−0.972118	+	0.234493i	$0.924657\pi$
$224$	2.14822	−	1.54440i	0.143534	−	0.103189i
$225$	4.04532	−	17.7237i	0.269688	−	1.18158i
$226$	−3.52871	+	6.11190i	−0.234726	+	0.406558i
$227$	4.75570	+	8.23711i	0.315647	+	0.546716i	0.979575	−	0.201080i	$-0.0644452\pi$
$227$	4.75570	+	8.23711i	0.315647	+	0.546716i	−0.663928	+	0.747796i	$0.731112\pi$
$228$	4.43554	−	1.36818i	0.293751	−	0.0906101i
$229$	−1.46015	+	19.4844i	−0.0964895	+	1.28756i	0.713307	+	0.700852i	$0.247196\pi$
$229$	−1.46015	+	19.4844i	−0.0964895	+	1.28756i	−0.809797	+	0.586711i	$0.800423\pi$
$230$	7.21203	+	9.04360i	0.475547	+	0.596317i
$231$	0.544511	+	2.13861i	0.0358262	+	0.140710i
$232$	−5.36960	+	6.73326i	−0.352531	+	0.442060i
$233$	6.81891	+	6.32703i	0.446722	+	0.414497i	0.871190	−	0.490945i	$-0.163349\pi$
$233$	6.81891	+	6.32703i	0.446722	+	0.414497i	−0.424468	+	0.905443i	$0.639539\pi$
$234$	9.26455	+	1.39641i	0.605642	+	0.0912859i
$235$	−0.178533	−	0.121722i	−0.0116462	−	0.00794026i
$236$	−10.2600	+	1.54645i	−0.667869	+	0.100665i
$237$	2.78394	+	1.34068i	0.180837	+	0.0870863i
$238$	−1.02623	−	0.662841i	−0.0665208	−	0.0429656i
$239$	7.04272	−	3.39160i	0.455556	−	0.219384i	−0.192011	−	0.981393i	$-0.561501\pi$
$239$	7.04272	−	3.39160i	0.455556	−	0.219384i	0.647567	+	0.762009i	$0.275787\pi$
$240$	−2.97004	+	2.02494i	−0.191715	+	0.130709i
$241$	3.73653	−	3.46699i	0.240691	−	0.223328i	−0.550599	−	0.834770i	$-0.685601\pi$
$241$	3.73653	−	3.46699i	0.240691	−	0.223328i	0.791290	+	0.611442i	$0.209410\pi$
$242$	−0.766475	−	10.2279i	−0.0492709	−	0.657474i
$243$	5.88303	+	14.9897i	0.377397	+	0.961592i
$244$	14.5204			0.929570
$245$	−8.28506	+	24.6559i	−0.529313	+	1.57521i
$246$	2.57861			0.164406
$247$	7.95681	+	20.2736i	0.506280	+	1.28998i
$248$	0.475157	+	6.34053i	0.0301725	+	0.402624i
$249$	0.895759	−	0.831143i	0.0567665	−	0.0526716i
$250$	−11.6888	+	7.96929i	−0.739265	+	0.504022i
$251$	−5.65922	+	2.72534i	−0.357207	+	0.172022i	−0.603877	−	0.797078i	$-0.706378\pi$
$251$	−5.65922	+	2.72534i	−0.357207	+	0.172022i	0.246670	+	0.969100i	$0.420664\pi$
$252$	−1.86795	+	5.13184i	−0.117670	+	0.323275i
$253$	−2.41826	−	1.16457i	−0.152035	−	0.0732162i
$254$	−18.9871	+	2.86185i	−1.19136	+	0.179568i
$255$	1.37143	+	0.935022i	0.0858820	+	0.0585534i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	−11.7774	−	10.9278i	−0.734653	−	0.681658i	0.221291	−	0.975208i	$-0.428973\pi$
$257$	−11.7774	−	10.9278i	−0.734653	−	0.681658i	−0.955944	+	0.293550i	$0.905163\pi$
$258$	6.20765	−	7.78414i	0.386471	−	0.484620i
$259$	19.4000	+	8.75410i	1.20546	+	0.543953i
$260$	−10.5158	−	13.1864i	−0.652164	−	0.817788i
$261$	1.32846	−	17.7271i	0.0822297	−	1.09728i
$262$	14.5361	−	4.48379i	0.898043	−	0.277010i
$263$	6.53923	+	11.3263i	0.403226	+	0.698408i	0.994113	−	0.108346i	$-0.0345555\pi$
$263$	6.53923	+	11.3263i	0.403226	+	0.698408i	−0.590887	+	0.806754i	$0.701222\pi$
$264$	0.417054	−	0.722359i	0.0256679	−	0.0444581i
$265$	3.95080	−	17.3096i	0.242696	−	1.06332i
$266$	−12.5021	+	2.20419i	−0.766551	+	0.135147i
$267$	0.354302	+	1.55230i	0.0216830	+	0.0949992i
$268$	−0.739002	−	0.227952i	−0.0451418	−	0.0139244i
$269$	6.08207	−	15.4969i	0.370830	−	0.944860i	−0.616667	−	0.787224i	$-0.711517\pi$
$269$	6.08207	−	15.4969i	0.370830	−	0.944860i	0.987497	−	0.157636i	$-0.0503873\pi$
$270$	6.65061	−	16.9455i	0.404743	−	1.03127i
$271$	15.8442	+	4.88730i	0.962469	+	0.296882i	0.735883	−	0.677109i	$-0.236767\pi$
$271$	15.8442	+	4.88730i	0.962469	+	0.296882i	0.226586	+	0.973991i	$0.427244\pi$
$272$	0.102750	+	0.450176i	0.00623012	+	0.0272959i
$273$	11.1832	+	3.14672i	0.676840	+	0.190448i
$274$	−3.82811	+	16.7721i	−0.231265	+	1.01324i
$275$	3.79691	−	6.57643i	0.228962	−	0.396574i
$276$	1.50573	+	2.60800i	0.0906344	+	0.156983i
$277$	−6.62880	+	2.04471i	−0.398286	+	0.122855i	−0.487426	−	0.873164i	$-0.662064\pi$
$277$	−6.62880	+	2.04471i	−0.398286	+	0.122855i	0.0891405	+	0.996019i	$0.471588\pi$
$278$	−0.705520	+	9.41452i	−0.0423143	+	0.564645i
$279$	−8.18299	−	10.2611i	−0.489903	−	0.614319i
$280$	8.74852	−	4.48488i	0.522824	−	0.268023i
$281$	−9.94736	+	12.4736i	−0.593410	+	0.744112i	−0.984335	−	0.176310i	$-0.943584\pi$
$281$	−9.94736	+	12.4736i	−0.593410	+	0.744112i	0.390925	+	0.920423i	$0.372155\pi$
$282$	−0.0412380	−	0.0382633i	−0.00245569	−	0.00227854i
$283$	−16.0549	−	2.41989i	−0.954364	−	0.143847i	−0.346642	−	0.937997i	$-0.612678\pi$
$283$	−16.0549	−	2.41989i	−0.954364	−	0.143847i	−0.607722	+	0.794150i	$0.707916\pi$
$284$	2.01033	+	1.37062i	0.119291	+	0.0813313i
$285$	17.0553	−	2.57067i	1.01027	−	0.152273i
$286$	3.52606	+	1.69806i	0.208501	+	0.100409i
$287$	−6.99757	−	0.877054i	−0.413053	−	0.0517708i
$288$	1.85974	−	0.895601i	0.109586	−	0.0527738i
$289$	−13.8699	+	9.45633i	−0.815876	+	0.556255i
$290$	−23.4585	+	21.7663i	−1.37753	+	1.27816i
$291$	0.475760	+	6.34858i	0.0278895	+	0.372160i
$292$	1.02764	+	2.61837i	0.0601378	+	0.153229i
$293$	2.26593			0.132377			0.0661886	−	0.997807i	$-0.478916\pi$
$293$	2.26593			0.132377			0.0661886	+	0.997807i	$0.478916\pi$
$294$	−3.08959	+	6.02587i	−0.180189	+	0.351436i
$295$	−38.5548			−2.24475
$296$	−2.93898	−	7.48839i	−0.170825	−	0.435254i
$297$	0.315664	+	4.21224i	0.0183167	+	0.244419i
$298$	8.70574	−	8.07775i	0.504310	−	0.467931i
$299$	−11.6746	+	7.95959i	−0.675158	+	0.460315i
$300$	−7.67632	+	3.69672i	−0.443193	+	0.213430i
$301$	−19.4933	+	19.0124i	−1.12357	+	1.09586i
$302$	−21.3632	−	10.2880i	−1.22931	−	0.592006i
$303$	−0.565521	+	0.0852386i	−0.0324884	+	0.00489683i
$304$	3.96447	+	2.70293i	0.227378	+	0.155024i
$305$	53.3523	+	8.04156i	3.05494	+	0.460458i
$306$	−0.698693	−	0.648292i	−0.0399416	−	0.0370604i
$307$	1.81181	−	2.27194i	0.103406	−	0.129667i	−0.727436	−	0.686176i	$-0.759288\pi$
$307$	1.81181	−	2.27194i	0.103406	−	0.129667i	0.830842	+	0.556509i	$0.187860\pi$
$308$	−1.37745	+	1.81841i	−0.0784876	+	0.103614i
$309$	−1.73257	−	2.17258i	−0.0985625	−	0.123593i
$310$	−1.76559	+	23.5602i	−0.100279	+	1.33813i
$311$	−3.06016	+	0.943933i	−0.173526	+	0.0535255i	−0.380300	−	0.924863i	$-0.624179\pi$
$311$	−3.06016	+	0.943933i	−0.173526	+	0.0535255i	0.206775	+	0.978389i	$0.433703\pi$
$312$	−2.19550	−	3.80272i	−0.124296	−	0.215287i
$313$	0.0214408	−	0.0371365i	0.00121190	−	0.00209908i	−0.865419	−	0.501049i	$-0.832948\pi$
$313$	0.0214408	−	0.0371365i	0.00121190	−	0.00209908i	0.866631	+	0.498950i	$0.166281\pi$
$314$	−3.85888	+	16.9069i	−0.217769	+	0.954109i
$315$	−9.70552	+	17.8215i	−0.546844	+	1.00413i
$316$	0.710753	+	3.11401i	0.0399830	+	0.175177i
$317$	21.2656	+	6.55956i	1.19439	+	0.368421i	0.827299	−	0.561762i	$-0.189877\pi$
$317$	21.2656	+	6.55956i	1.19439	+	0.368421i	0.367094	+	0.930184i	$0.380353\pi$
$318$	1.68874	−	4.30284i	0.0946998	−	0.241291i
$319$	2.71288	−	6.91230i	0.151892	−	0.387015i
$320$	−3.55073	−	1.09525i	−0.198492	−	0.0612266i
$321$	−2.80571	−	12.2926i	−0.156600	−	0.686108i
$322$	−3.19905	−	7.58947i	−0.178276	−	0.422945i
$323$	0.493016	−	2.16004i	0.0274321	−	0.120188i
$324$	−0.726583	+	1.25848i	−0.0403657	+	0.0699155i
$325$	−19.9881	−	34.6204i	−1.10874	−	1.92039i
$326$	4.50666	−	1.39012i	0.249601	−	0.0769917i
$327$	0.256342	−	3.42064i	0.0141757	−	0.189162i
$328$	1.66193	+	2.08399i	0.0917646	+	0.115069i
$329$	0.0988930	+	0.117861i	0.00545215	+	0.00649789i
$330$	1.93244	−	2.42320i	0.106377	−	0.133393i
$331$	−0.505430	−	0.468970i	−0.0277809	−	0.0257769i	0.666160	−	0.745809i	$-0.267937\pi$
$331$	−0.505430	−	0.468970i	−0.0277809	−	0.0257769i	−0.693941	+	0.720032i	$0.744127\pi$
$332$	1.24904	+	0.188262i	0.0685499	+	0.0103322i
$333$	13.7197	+	9.35393i	0.751835	+	0.512592i
$334$	1.96716	−	0.296502i	0.107638	−	0.0162238i
$335$	−2.58908	−	1.24684i	−0.141457	−	0.0681219i
$336$	2.42622	−	0.815111i	0.132361	−	0.0444680i
$337$	−5.01795	+	2.41652i	−0.273345	+	0.131636i	−0.565535	−	0.824724i	$-0.691330\pi$
$337$	−5.01795	+	2.41652i	−0.273345	+	0.131636i	0.292190	+	0.956360i	$0.405616\pi$
$338$	6.28155	−	4.28269i	0.341671	−	0.232947i
$339$	−5.00476	+	4.64374i	−0.271821	+	0.252213i
$340$	0.128221	+	1.71099i	0.00695376	+	0.0927915i
$341$	−2.00290	−	5.10331i	−0.108463	−	0.276360i
$342$	−9.90424			−0.535560
$343$	10.4338	−	15.3015i	0.563371	−	0.826204i
$344$	10.2919			0.554901
$345$	4.08818	+	10.4165i	0.220100	+	0.560806i
$346$	−1.15108	−	15.3600i	−0.0618822	−	0.825760i
$347$	18.3288	−	17.0066i	0.983941	−	0.912964i	−0.0122709	−	0.999925i	$-0.503906\pi$
$347$	18.3288	−	17.0066i	0.983941	−	0.912964i	0.996212	+	0.0869611i	$0.0277156\pi$
$348$	−6.88368	+	4.69322i	−0.369004	+	0.251583i
$349$	32.0269	−	15.4233i	1.71436	−	0.825593i	0.723561	−	0.690261i	$-0.242504\pi$
$349$	32.0269	−	15.4233i	1.71436	−	0.825593i	0.990800	−	0.135332i	$-0.0432101\pi$
$350$	22.0886	−	7.42086i	1.18068	−	0.396661i
$351$	20.0346	+	9.64815i	1.06937	+	0.514980i
$352$	0.852593	−	0.128508i	0.0454433	−	0.00684948i
$353$	10.9829	+	7.48801i	0.584561	+	0.398547i	0.819177	−	0.573541i	$-0.194431\pi$
$353$	10.9829	+	7.48801i	0.584561	+	0.398547i	−0.234616	+	0.972088i	$0.575383\pi$
$354$	−9.92545	−	1.49602i	−0.527532	−	0.0795126i
$355$	6.62750	+	6.14942i	0.351751	+	0.326377i
$356$	−1.02619	+	1.28681i	−0.0543882	+	0.0682006i
$357$	−0.759660	−	0.905365i	−0.0402055	−	0.0479170i
$358$	−14.0671	−	17.6395i	−0.743467	−	0.932279i
$359$	0.344760	−	4.60050i	0.0181957	−	0.242805i	−0.980688	−	0.195577i	$-0.937342\pi$
$359$	0.344760	−	4.60050i	0.0181957	−	0.242805i	0.998884	−	0.0472283i	$-0.0150388\pi$
$360$	7.32923	−	2.26077i	0.386285	−	0.119153i
$361$	−2.01143	−	3.48390i	−0.105865	−	0.183363i
$362$	1.62608	−	2.81645i	0.0854647	−	0.148029i
$363$	2.20788	−	9.67337i	0.115884	−	0.507720i
$364$	4.66452	+	11.0662i	0.244487	+	0.580025i
$365$	2.32576	+	10.1898i	0.121736	+	0.533360i
$366$	13.4228	+	4.14039i	0.701623	+	0.216422i
$367$	−8.89311	+	22.6593i	−0.464217	+	1.18280i	0.486758	+	0.873537i	$0.338179\pi$
$367$	−8.89311	+	22.6593i	−0.464217	+	1.18280i	−0.950975	+	0.309268i	$0.899916\pi$
$368$	−1.13729	+	2.89778i	−0.0592856	+	0.151057i
$369$	−5.25760	−	1.62176i	−0.273700	−	0.0844252i
$370$	−6.65154	−	29.1423i	−0.345797	−	1.51504i
$371$	−6.04623	+	11.1022i	−0.313905	+	0.576398i
$372$	−1.36872	+	5.99676i	−0.0709649	+	0.310918i
$373$	12.0638	−	20.8952i	0.624642	−	1.08191i	−0.363968	−	0.931411i	$-0.618578\pi$
$373$	12.0638	−	20.8952i	0.624642	−	1.08191i	0.988610	−	0.150500i	$-0.0480884\pi$
$374$	−0.199067	−	0.344794i	−0.0102935	−	0.0178289i
$375$	−13.0777	+	4.03394i	−0.675330	+	0.208312i
$376$	0.00434565	−	0.0579887i	0.000224110	−	0.00299054i
$377$	−24.3726	−	30.5623i	−1.25525	−	1.57404i
$378$	−7.82648	+	10.3320i	−0.402551	+	0.531418i
$379$	11.2756	−	14.1391i	0.579187	−	0.726278i	−0.402787	−	0.915294i	$-0.631958\pi$
$379$	11.2756	−	14.1391i	0.579187	−	0.726278i	0.981974	+	0.189016i	$0.0605298\pi$
$380$	13.0698	+	12.1270i	0.670465	+	0.622101i
$381$	−18.3680	−	2.76853i	−0.941022	−	0.141836i
$382$	16.2973	+	11.1113i	0.833844	+	0.568505i
$383$	−11.2538	+	1.69624i	−0.575043	+	0.0866738i	−0.430124	−	0.902770i	$-0.641530\pi$
$383$	−11.2538	+	1.69624i	−0.575043	+	0.0866738i	−0.144919	+	0.989444i	$0.546292\pi$
$384$	−0.871591	−	0.419736i	−0.0444782	−	0.0214196i
$385$	−6.06824	+	5.91856i	−0.309266	+	0.301638i
$386$	2.70178	−	1.30111i	0.137517	−	0.0662248i
$387$	−17.5526	+	11.9672i	−0.892249	+	0.608325i
$388$	−4.82419	+	4.47619i	−0.244911	+	0.227244i
$389$	−1.50330	−	20.0601i	−0.0762202	−	1.01709i	−0.895897	−	0.444261i	$-0.853466\pi$
$389$	−1.50330	−	20.0601i	−0.0762202	−	1.01709i	0.819677	−	0.572826i	$-0.194153\pi$
$390$	−5.96096	−	15.1883i	−0.301845	−	0.769088i
$391$	1.43742			0.0726936
$392$	−6.86126	+	1.38674i	−0.346546	+	0.0700411i
$393$	14.7159			0.742319
$394$	−3.76583	−	9.59518i	−0.189720	−	0.483398i
$395$	0.886945	+	11.8355i	0.0446271	+	0.595507i
$396$	−1.30465	+	1.21054i	−0.0655614	+	0.0608321i
$397$	−20.8708	+	14.2295i	−1.04747	+	0.714156i	−0.959426	−	0.281960i	$-0.909015\pi$
$397$	−20.8708	+	14.2295i	−1.04747	+	0.714156i	−0.0880482	+	0.996116i	$0.528063\pi$
$398$	1.76571	−	0.850321i	0.0885070	−	0.0426227i
$399$	−12.1856	−	1.52731i	−0.610043	−	0.0764610i
$400$	−7.93506	−	3.82132i	−0.396753	−	0.191066i
$401$	18.9960	−	2.86318i	0.948613	−	0.142980i	0.343529	−	0.939142i	$-0.388378\pi$
$401$	18.9960	−	2.86318i	0.948613	−	0.142980i	0.605084	+	0.796162i	$0.293140\pi$
$402$	−0.618146	−	0.421444i	−0.0308303	−	0.0210197i
$403$	−28.5380	−	4.30142i	−1.42158	−	0.214269i
$404$	−0.433370	−	0.402108i	−0.0215610	−	0.0200056i
$405$	−3.36665	+	4.22165i	−0.167290	+	0.209775i
$406$	20.2765	−	10.3946i	1.00631	−	0.515877i
$407$	4.32461	+	5.42289i	0.214363	+	0.268802i
$408$	−0.0333817	+	0.445448i	−0.00165264	+	0.0220530i
$409$	−10.5655	+	3.25903i	−0.522431	+	0.161148i	−0.544744	−	0.838603i	$-0.683373\pi$
$409$	−10.5655	+	3.25903i	−0.522431	+	0.161148i	0.0223132	+	0.999751i	$0.492897\pi$
$410$	4.95229	+	8.57762i	0.244576	+	0.423619i
$411$	−8.32122	+	14.4128i	−0.410456	+	0.710930i
$412$	0.639189	−	2.80047i	0.0314906	−	0.137969i
$413$	26.4258	+	7.43565i	1.30033	+	0.365885i
$414$	−1.42984	−	6.26453i	−0.0702727	−	0.307885i
$415$	4.48509	+	1.38347i	0.220164	+	0.0679117i
$416$	1.65829	−	4.22524i	0.0813041	−	0.207160i
$417$	−3.33669	+	8.50174i	−0.163398	+	0.416332i
$418$	−3.95333	−	1.21944i	−0.193364	−	0.0596448i
$419$	−4.50320	−	19.7298i	−0.219996	−	0.963863i	−0.957480	−	0.288499i	$-0.906844\pi$
$419$	−4.50320	−	19.7298i	−0.219996	−	0.963863i	0.737485	−	0.675364i	$-0.236013\pi$
$420$	9.36610	−	1.65130i	0.457019	−	0.0805751i
$421$	8.01983	−	35.1372i	0.390863	−	1.71248i	−0.270762	−	0.962646i	$-0.587276\pi$
$421$	8.01983	−	35.1372i	0.390863	−	1.71248i	0.661625	−	0.749835i	$-0.269867\pi$
$422$	−7.70863	+	13.3517i	−0.375250	+	0.649952i
$423$	0.0600165	+	0.103952i	0.00291810	+	0.00505431i
$424$	4.56588	−	1.40839i	0.221739	−	0.0683974i
$425$	−0.303911	+	4.05541i	−0.0147418	+	0.196716i
$426$	1.46755	+	1.84025i	0.0711032	+	0.0891606i
$427$	−35.0172	−	15.8012i	−1.69460	−	0.764675i
$428$	8.12641	−	10.1902i	0.392805	−	0.492561i
$429$	2.77535	+	2.57515i	0.133995	+	0.124329i
$430$	37.8155	+	5.69977i	1.82363	+	0.274868i
$431$	13.3541	+	9.10465i	0.643243	+	0.438555i	0.840511	−	0.541794i	$-0.182255\pi$
$431$	13.3541	+	9.10465i	0.643243	+	0.438555i	−0.197269	+	0.980349i	$0.563207\pi$
$432$	4.84431	−	0.730162i	0.233072	−	0.0351299i
$433$	3.34650	+	1.61159i	0.160823	+	0.0774481i	0.512563	−	0.858649i	$-0.328696\pi$
$433$	3.34650	+	1.61159i	0.160823	+	0.0774481i	−0.351741	+	0.936097i	$0.614410\pi$
$434$	5.75395	−	15.8079i	0.276199	−	0.758801i
$435$	−27.8919	+	13.4321i	−1.33732	+	0.644018i
$436$	2.92972	−	1.99745i	0.140308	−	0.0956606i
$437$	10.9494	−	10.1595i	0.523779	−	0.485996i
$438$	0.203348	+	2.71349i	0.00971633	+	0.129655i
$439$	−3.71887	−	9.47552i	−0.177492	−	0.452242i	0.814247	−	0.580519i	$-0.197150\pi$
$439$	−3.71887	−	9.47552i	−0.177492	−	0.452242i	−0.991738	+	0.128278i	$0.959055\pi$
$440$	3.20386			0.152738
$441$	10.0893	−	10.3432i	0.480442	−	0.492533i
$442$	−2.09590			−0.0996919
$443$	−9.80986	−	24.9951i	−0.466081	−	1.18755i	−0.949947	−	0.312412i	$-0.898863\pi$
$443$	−9.80986	−	24.9951i	−0.466081	−	1.18755i	0.483866	−	0.875142i	$-0.339232\pi$
$444$	−0.581562	−	7.76041i	−0.0275997	−	0.368293i
$445$	−4.48320	+	4.15980i	−0.212524	+	0.197194i
$446$	−0.303456	+	0.206893i	−0.0143691	+	0.00979666i
$447$	10.3510	−	4.98480i	0.489587	−	0.235773i
$448$	2.22247	+	1.43549i	0.105002	+	0.0678204i
$449$	−9.26646	−	4.46249i	−0.437311	−	0.210598i	0.202257	−	0.979333i	$-0.435172\pi$
$449$	−9.26646	−	4.46249i	−0.437311	−	0.210598i	−0.639568	+	0.768735i	$0.720887\pi$
$450$	17.9764	−	2.70951i	0.847417	−	0.127728i
$451$	−1.89892	−	1.29467i	−0.0894169	−	0.0609634i
$452$	−6.97859	−	1.05185i	−0.328245	−	0.0494750i
$453$	−16.8149	−	15.6019i	−0.790033	−	0.733043i
$454$	−5.93026	+	7.43631i	−0.278321	+	0.349003i
$455$	11.0103	+	43.2438i	0.516170	+	2.02730i
$456$	2.89409	+	3.62907i	0.135528	+	0.169947i
$457$	−0.445315	+	5.94232i	−0.0208310	+	0.277970i	0.977055	+	0.212986i	$0.0683188\pi$
$457$	−0.445315	+	5.94232i	−0.0208310	+	0.277970i	−0.997886	+	0.0649843i	$0.979300\pi$
$458$	−18.6709	+	5.75922i	−0.872435	+	0.269111i
$459$	−1.13107	−	1.95907i	−0.0527939	−	0.0914417i
$460$	−5.78360	+	10.0175i	−0.269662	+	0.467068i
$461$	−3.48085	+	15.2506i	−0.162120	+	0.710292i	0.826881	+	0.562378i	$0.190113\pi$
$461$	−3.48085	+	15.2506i	−0.162120	+	0.710292i	−0.989000	+	0.147915i	$0.952744\pi$
$462$	−1.79185	+	1.28819i	−0.0833643	+	0.0599322i
$463$	2.45006	+	10.7344i	0.113864	+	0.498871i	0.999411	+	0.0343207i	$0.0109268\pi$
$463$	2.45006	+	10.7344i	0.113864	+	0.498871i	−0.885547	+	0.464550i	$0.846216\pi$
$464$	−8.22955	−	2.53848i	−0.382047	−	0.117846i
$465$	−8.35019	+	21.2759i	−0.387231	+	0.986648i
$466$	−3.39843	+	8.65907i	−0.157429	+	0.401124i
$467$	30.8512	+	9.51633i	1.42762	+	0.440363i	0.909772	−	0.415108i	$-0.136256\pi$
$467$	30.8512	+	9.51633i	1.42762	+	0.440363i	0.517851	+	0.855471i	$0.326732\pi$
$468$	2.08484	+	9.13429i	0.0963718	+	0.422233i
$469$	1.53411	+	1.35392i	0.0708388	+	0.0625182i
$470$	0.0480822	−	0.210662i	0.00221787	−	0.00971710i
$471$	−8.38810	+	14.5286i	−0.386503	+	0.669443i
$472$	−5.18794	−	8.98578i	−0.238794	−	0.413604i
$473$	−8.47965	+	2.61563i	−0.389895	+	0.120267i
$474$	−0.230912	+	3.08131i	−0.0106061	+	0.141529i
$475$	26.3481	+	33.0395i	1.20893	+	1.51595i
$476$	0.242097	−	1.19746i	0.0110965	−	0.0548853i
$477$	−6.14938	+	7.71108i	−0.281561	+	0.353066i
$478$	5.73014	+	5.31680i	0.262091	+	0.243185i
$479$	−22.7873	−	3.43464i	−1.04118	−	0.156933i	−0.393875	−	0.919164i	$-0.628866\pi$
$479$	−22.7873	−	3.43464i	−1.04118	−	0.156933i	−0.647305	+	0.762231i	$0.724104\pi$
$480$	−2.97004	−	2.02494i	−0.135563	−	0.0924254i
$481$	36.1061	−	5.44212i	1.64630	−	0.248139i
$482$	4.59244	+	2.21160i	0.209180	+	0.100736i
$483$	−0.793153	−	7.92801i	−0.0360897	−	0.360737i
$484$	9.24085	−	4.45016i	0.420039	−	0.202280i
$485$	−20.2045	+	13.7752i	−0.917440	+	0.625500i
$486$	−11.8042	+	10.9527i	−0.535451	+	0.496826i
$487$	−1.00512	−	13.4124i	−0.0455463	−	0.607773i	−0.972546	−	0.232711i	$-0.925240\pi$
$487$	−1.00512	−	13.4124i	−0.0455463	−	0.607773i	0.927000	−	0.375062i	$-0.122379\pi$
$488$	5.30488	+	13.5166i	0.240141	+	0.611868i
$489$	4.56241			0.206319
$490$	−25.9784	+	1.29546i	−1.17358	+	0.0585231i
$491$	28.8721			1.30298			0.651490	−	0.758657i	$-0.274144\pi$
$491$	28.8721			1.30298			0.651490	+	0.758657i	$0.274144\pi$
$492$	0.942072	+	2.40036i	0.0424719	+	0.108217i
$493$	0.297179	+	3.96558i	0.0133843	+	0.178601i
$494$	−15.9652	+	14.8136i	−0.718310	+	0.666494i
$495$	−5.46412	+	3.72537i	−0.245594	+	0.167443i
$496$	−5.72863	+	2.75877i	−0.257223	+	0.123872i
$497$	−3.35658	−	5.49304i	−0.150563	−	0.246397i
$498$	1.10095	+	0.530188i	0.0493346	+	0.0237583i
$499$	18.8452	−	2.84046i	0.843629	−	0.127157i	0.287013	−	0.957927i	$-0.407338\pi$
$499$	18.8452	−	2.84046i	0.843629	−	0.127157i	0.556616	+	0.830770i	$0.312100\pi$
$500$	−11.6888	−	7.96929i	−0.522739	−	0.356398i
$501$	1.90302	+	0.286834i	0.0850205	+	0.0128148i
$502$	−4.60449	−	4.27234i	−0.205508	−	0.190684i
$503$	−26.5554	+	33.2994i	−1.18405	+	1.48475i	−0.346782	+	0.937946i	$0.612726\pi$
$503$	−26.5554	+	33.2994i	−1.18405	+	1.48475i	−0.837263	+	0.546800i	$0.815846\pi$
$504$	−5.45953	+	0.136041i	−0.243187	+	0.00605974i
$505$	−1.36964	−	1.71748i	−0.0609482	−	0.0764267i
$506$	0.200581	−	2.67657i	0.00891691	−	0.118988i
$507$	7.02794	−	2.16783i	0.312122	−	0.0962768i
$508$	−9.60080	−	16.6291i	−0.425966	−	0.737796i
$509$	−16.5166	+	28.6076i	−0.732087	+	1.26801i	0.223903	+	0.974611i	$0.428120\pi$
$509$	−16.5166	+	28.6076i	−0.732087	+	1.26801i	−0.955990	+	0.293400i	$0.905213\pi$
$510$	−0.369350	+	1.61823i	−0.0163551	+	0.0716563i
$511$	0.371105	−	7.43274i	0.0164167	−	0.328805i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	−22.4622	−	6.92868i	−0.991732	−	0.305909i
$514$	5.86965	−	14.9556i	0.258899	−	0.659665i
$515$	3.89952	−	9.93580i	0.171833	−	0.437824i
$516$	9.51396	+	2.93467i	0.418829	+	0.129192i
$517$	0.0111571	+	0.0488823i	0.000490687	+	0.00214984i
$518$	−1.06134	+	21.2572i	−0.0466325	+	0.933988i
$519$	3.31575	−	14.5273i	0.145545	−	0.637676i
$520$	8.43304	−	14.6065i	0.369813	−	0.640536i
$521$	12.2770	+	21.2645i	0.537867	+	0.931613i	0.999019	+	0.0442914i	$0.0141030\pi$
$521$	12.2770	+	21.2645i	0.537867	+	0.931613i	−0.461152	+	0.887321i	$0.652564\pi$
$522$	16.9870	−	5.23980i	0.743502	−	0.229340i
$523$	0.796287	−	10.6257i	0.0348192	−	0.464630i	−0.952356	−	0.304989i	$-0.901347\pi$
$523$	0.796287	−	10.6257i	0.0348192	−	0.464630i	0.987175	−	0.159641i	$-0.0510337\pi$
$524$	9.48448	+	11.8932i	0.414331	+	0.519555i
$525$	22.5350	−	0.561527i	0.983508	−	0.0245071i
$526$	−8.15428	+	10.2251i	−0.355544	+	0.445838i
$527$	2.15222	+	1.99697i	0.0937521	+	0.0869892i
$528$	0.824792	+	0.124317i	0.0358945	+	0.00541022i
$529$	−10.9968	−	7.49747i	−0.478121	−	0.325977i
$530$	17.5564	−	2.64621i	0.762603	−	0.114944i
$531$	19.2964	+	9.29265i	0.837392	+	0.403267i
$532$	−6.61934	−	10.8326i	−0.286985	−	0.469651i
$533$	−10.9007	+	5.24949i	−0.472161	+	0.227381i
$534$	−1.31555	+	0.896930i	−0.0569296	+	0.0388139i
$535$	35.5024	−	32.9414i	1.53490	−	1.42418i
$536$	−0.0577933	−	0.771198i	−0.00249629	−	0.0333107i
$537$	−7.97399	−	20.3174i	−0.344103	−	0.876760i
$538$	16.6477			0.717731
$539$	5.30068	−	2.88631i	0.228316	−	0.124322i
$540$	18.2038			0.783369
$541$	0.690828	+	1.76020i	0.0297010	+	0.0756769i	0.944955	−	0.327201i	$-0.106105\pi$
$541$	0.690828	+	1.76020i	0.0297010	+	0.0756769i	−0.915254	+	0.402878i	$0.868010\pi$
$542$	1.23909	+	16.5345i	0.0532235	+	0.710219i
$543$	2.30626	−	2.13990i	0.0989712	−	0.0918319i
$544$	−0.381519	+	0.260115i	−0.0163575	+	0.0111523i
$545$	11.8709	−	5.71673i	0.508494	−	0.244878i
$546$	1.15649	+	11.5598i	0.0494934	+	0.494714i
$547$	−32.0182	−	15.4192i	−1.36900	−	0.659276i	−0.402376	−	0.915474i	$-0.631816\pi$
$547$	−32.0182	−	15.4192i	−1.36900	−	0.659276i	−0.966624	+	0.256198i	$0.917530\pi$
$548$	−17.0112	+	2.56403i	−0.726684	+	0.109530i
$549$	−24.7642	−	16.8839i	−1.05691	−	0.720589i
$550$	7.50899	+	1.13180i	0.320185	+	0.0482601i
$551$	30.2919	+	28.1068i	1.29048	+	1.19739i
$552$	−1.87762	+	2.35446i	−0.0799167	+	0.100212i
$553$	1.67466	−	8.28319i	0.0712137	−	0.352237i
$554$	−4.32514	−	5.42355i	−0.183758	−	0.230425i
$555$	2.16098	−	28.8362i	0.0917283	−	1.22403i
$556$	−9.02148	+	2.78276i	−0.382596	+	0.118015i
$557$	−14.6201	−	25.3228i	−0.619474	−	1.07296i	−0.989582	−	0.143972i	$-0.954012\pi$
$557$	−14.6201	−	25.3228i	−0.619474	−	1.07296i	0.370108	−	0.928989i	$-0.379321\pi$
$558$	6.56225	−	11.3661i	0.277802	−	0.481167i
$559$	−10.3950	+	45.5437i	−0.439664	+	1.92629i
$560$	7.37105	+	6.50526i	0.311484	+	0.274897i
$561$	−0.0857045	−	0.375496i	−0.00361845	−	0.0158535i
$562$	−15.2455	−	4.70262i	−0.643094	−	0.198368i
$563$	13.2779	−	33.8316i	0.559598	−	1.42583i	−0.318763	−	0.947834i	$-0.603268\pi$
$563$	13.2779	−	33.8316i	0.559598	−	1.42583i	0.878361	−	0.477998i	$-0.158637\pi$
$564$	0.0205523	−	0.0523665i	0.000865410	−	0.00220503i
$565$	−25.0590	−	7.72966i	−1.05424	−	0.325189i
$566$	−3.61290	−	15.8292i	−0.151862	−	0.665349i
$567$	3.12172	−	2.24427i	0.131100	−	0.0942503i
$568$	−0.541418	+	2.37211i	−0.0227174	+	0.0995313i
$569$	0.249753	−	0.432585i	0.0104702	−	0.0181349i	−0.860743	−	0.509040i	$-0.830001\pi$
$569$	0.249753	−	0.432585i	0.0104702	−	0.0181349i	0.871213	+	0.490905i	$0.163334\pi$
$570$	8.62395	+	14.9371i	0.361218	+	0.625647i
$571$	9.45948	−	2.91786i	0.395867	−	0.122109i	−0.0904290	−	0.995903i	$-0.528824\pi$
$571$	9.45948	−	2.91786i	0.395867	−	0.122109i	0.486296	+	0.873794i	$0.338348\pi$
$572$	−0.292466	+	3.90269i	−0.0122286	+	0.163180i
$573$	11.8972	+	14.9186i	0.497011	+	0.623232i
$574$	−1.74007	−	6.83427i	−0.0726292	−	0.285257i
$575$	−17.0940	+	21.4352i	−0.712870	+	0.893910i
$576$	1.51313	+	1.40398i	0.0630470	+	0.0584991i
$577$	13.4793	+	2.03168i	0.561150	+	0.0845798i	0.423492	−	0.905900i	$-0.360804\pi$
$577$	13.4793	+	2.03168i	0.561150	+	0.0845798i	0.137659	+	0.990480i	$0.456042\pi$
$578$	−13.8699	−	9.45633i	−0.576911	−	0.393332i
$579$	2.86857	−	0.432368i	0.119214	−	0.0179686i
$580$	−28.8321	−	13.8848i	−1.19719	−	0.576534i
$581$	−2.80731	−	1.81323i	−0.116467	−	0.0752255i
$582$	−5.73591	+	2.76227i	−0.237761	+	0.114500i
$583$	−3.40397	+	2.32079i	−0.140978	+	0.0961173i
$584$	−2.06194	+	1.91320i	−0.0853235	+	0.0791687i
$585$	2.60166	+	34.7168i	0.107566	+	1.43536i
$586$	0.827838	+	2.10930i	0.0341977	+	0.0871343i
$587$	−28.0002			−1.15569			−0.577846	−	0.816146i	$-0.696106\pi$
$587$	−28.0002			−1.15569			−0.577846	+	0.816146i	$0.696106\pi$
$588$	−6.73808	−	0.674524i	−0.277874	−	0.0278169i
$589$	30.5085			1.25708
$590$	−14.0857	−	35.8897i	−0.579897	−	1.47755i
$591$	−0.745180	−	9.94373i	−0.0306526	−	0.409030i
$592$	5.89702	−	5.47163i	0.242366	−	0.224883i
$593$	15.4613	−	10.5413i	0.634920	−	0.432881i	−0.202620	−	0.979257i	$-0.564946\pi$
$593$	15.4613	−	10.5413i	0.634920	−	0.432881i	0.837540	+	0.546377i	$0.183993\pi$
$594$	−3.80574	+	1.83275i	−0.156151	+	0.0751985i
$595$	1.55270	−	4.26575i	0.0636547	−	0.174879i
$596$	10.6999	+	5.15281i	0.438286	+	0.211067i
$597$	1.87471	−	0.282567i	0.0767269	−	0.0115647i
$598$	−11.6746	−	7.95959i	−0.477409	−	0.325492i
$599$	−22.6188	−	3.40923i	−0.924178	−	0.139297i	−0.330322	−	0.943868i	$-0.607157\pi$
$599$	−22.6188	−	3.40923i	−0.924178	−	0.139297i	−0.593857	+	0.804571i	$0.702395\pi$
$600$	−6.24565	−	5.79512i	−0.254978	−	0.236585i
$601$	18.2266	−	22.8555i	0.743480	−	0.932294i	−0.255928	−	0.966696i	$-0.582381\pi$
$601$	18.2266	−	22.8555i	0.743480	−	0.932294i	0.999408	+	0.0344014i	$0.0109525\pi$
$602$	−24.8198	−	11.1998i	−1.01158	−	0.456468i
$603$	0.995297	+	1.24806i	0.0405316	+	0.0508251i
$604$	1.77195	−	23.6451i	0.0720997	−	0.962103i
$605$	36.4183	−	11.2336i	1.48061	−	0.456709i
$606$	−0.285955	−	0.495288i	−0.0116161	−	0.0201197i
$607$	4.92265	−	8.52627i	0.199804	−	0.346071i	−0.748661	−	0.662953i	$-0.769303\pi$
$607$	4.92265	−	8.52627i	0.199804	−	0.346071i	0.948465	+	0.316883i	$0.102636\pi$
$608$	−1.06770	+	4.67791i	−0.0433011	+	0.189714i
$609$	21.7079	−	3.82723i	0.879648	−	0.155087i
$610$	12.0061	+	52.6021i	0.486112	+	2.12980i
$611$	0.252223	+	0.0778004i	0.0102038	+	0.00314747i
$612$	0.348217	−	0.887242i	0.0140758	−	0.0358646i
$613$	−7.74331	+	19.7296i	−0.312749	+	0.796872i	0.684919	+	0.728619i	$0.259838\pi$
$613$	−7.74331	+	19.7296i	−0.312749	+	0.796872i	−0.997668	+	0.0682527i	$0.978258\pi$
$614$	2.77682	+	0.856536i	0.112063	+	0.0345670i
$615$	2.13211	+	9.34140i	0.0859751	+	0.376681i
$616$	−2.19595	−	0.617894i	−0.0884774	−	0.0248956i
$617$	2.53203	−	11.0936i	0.101936	−	0.446610i	−0.898042	−	0.439910i	$-0.855010\pi$
$617$	2.53203	−	11.0936i	0.101936	−	0.446610i	0.999978	−	0.00669974i	$-0.00213261\pi$
$618$	1.38941	−	2.40654i	0.0558904	−	0.0968051i
$619$	0.326450	+	0.565428i	0.0131211	+	0.0227265i	0.872511	−	0.488594i	$-0.162490\pi$
$619$	0.326450	+	0.565428i	0.0131211	+	0.0227265i	−0.859390	+	0.511320i	$0.829157\pi$
$620$	−22.5766	+	6.96396i	−0.906698	+	0.279679i
$621$	1.13967	−	15.2079i	0.0457334	−	0.610270i
$622$	−1.99668	−	2.50376i	−0.0800597	−	0.100392i
$623$	3.87508	−	1.98654i	0.155252	−	0.0795890i
$624$	2.73775	−	3.43303i	0.109598	−	0.137431i
$625$	−6.25394	−	5.80281i	−0.250158	−	0.232112i
$626$	0.0424026	+	0.00639117i	0.00169475	+	0.000255442i
$627$	−3.30680	−	2.25454i	−0.132061	−	0.0900376i
$628$	−17.1480	+	2.58464i	−0.684278	+	0.103138i
$629$	−3.34671	−	1.61169i	−0.133442	−	0.0642623i
$630$	−20.1353	−	2.52370i	−0.802211	−	0.100547i
$631$	5.97320	−	2.87654i	0.237789	−	0.114513i	−0.311195	−	0.950346i	$-0.600729\pi$
$631$	5.97320	−	2.87654i	0.237789	−	0.114513i	0.548984	+	0.835833i	$0.315015\pi$
$632$	−2.63908	+	1.79930i	−0.104977	+	0.0715722i
$633$	−10.9331	+	10.1445i	−0.434553	+	0.403207i
$634$	1.66306	+	22.1920i	0.0660486	+	0.881358i
$635$	−26.0669	−	66.4174i	−1.03443	−	2.63569i
$636$	4.62236			0.183289
$637$	0.793421	−	31.7631i	0.0314365	−	1.25850i
$638$	7.42561			0.293983
$639$	−1.83485	−	4.67513i	−0.0725857	−	0.184945i
$640$	−0.277683	−	3.70542i	−0.0109764	−	0.146470i
$641$	−11.7882	+	10.9379i	−0.465607	+	0.432020i	−0.877765	−	0.479092i	$-0.840966\pi$
$641$	−11.7882	+	10.9379i	−0.465607	+	0.432020i	0.412157	+	0.911113i	$0.364775\pi$
$642$	10.4178	−	7.10277i	0.411159	−	0.280324i
$643$	−11.8105	+	5.68765i	−0.465762	+	0.224299i	−0.652020	−	0.758202i	$-0.726078\pi$
$643$	−11.8105	+	5.68765i	−0.465762	+	0.224299i	0.186258	+	0.982501i	$0.440364\pi$
$644$	5.89609	−	5.75065i	0.232339	−	0.226607i
$645$	33.3320	+	16.0518i	1.31245	+	0.632040i
$646$	2.19085	−	0.330217i	0.0861977	−	0.0129922i
$647$	32.6888	+	22.2869i	1.28513	+	0.876187i	0.996689	−	0.0813106i	$-0.0259106\pi$
$647$	32.6888	+	22.2869i	1.28513	+	0.876187i	0.288441	+	0.957498i	$0.406863\pi$
$648$	−1.43694	−	0.216583i	−0.0564482	−	0.00850819i
$649$	6.55812	+	6.08505i	0.257429	+	0.238859i
$650$	24.9247	−	31.2546i	0.977628	−	1.22591i
$651$	9.82656	−	12.9723i	0.385133	−	0.508425i
$652$	2.94050	+	3.68726i	0.115159	+	0.144404i
$653$	−2.03335	+	27.1332i	−0.0795712	+	1.06180i	0.804346	+	0.594161i	$0.202516\pi$
$653$	−2.03335	+	27.1332i	−0.0795712	+	1.06180i	−0.883917	+	0.467643i	$0.845103\pi$
$654$	3.27784	−	1.01108i	0.128174	−	0.0395364i
$655$	28.2623	+	48.9517i	1.10430	+	1.91270i
$656$	−1.33276	+	2.30841i	−0.0520356	+	0.0901283i
$657$	1.29197	−	5.66049i	0.0504046	−	0.220837i
$658$	−0.0735840	+	0.135116i	−0.00286860	+	0.00526738i
$659$	−8.88767	−	38.9394i	−0.346214	−	1.51686i	−0.785696	−	0.618613i	$-0.787695\pi$
$659$	−8.88767	−	38.9394i	−0.346214	−	1.51686i	0.439481	−	0.898252i	$-0.355162\pi$
$660$	2.96169	+	0.913561i	0.115284	+	0.0355603i
$661$	−8.71692	+	22.2104i	−0.339049	+	0.863883i	0.655068	+	0.755570i	$0.272640\pi$
$661$	−8.71692	+	22.2104i	−0.339049	+	0.863883i	−0.994117	+	0.108313i	$0.965455\pi$
$662$	0.251898	−	0.641825i	0.00979029	−	0.0249453i
$663$	−1.93748	−	0.597634i	−0.0752456	−	0.0232102i
$664$	0.281076	+	1.23148i	0.0109079	+	0.0477906i
$665$	−18.3223	−	43.4680i	−0.710507	−	1.68562i
$666$	−3.69496	+	16.1887i	−0.143177	+	0.627299i
$667$	−13.4047	+	23.2176i	−0.519032	+	0.898989i
$668$	0.994689	+	1.72285i	0.0384857	+	0.0666592i
$669$	−0.339514	+	0.104726i	−0.0131264	+	0.00404894i
$670$	0.214749	−	2.86563i	0.00829648	−	0.110709i
$671$	−7.80596	−	9.78836i	−0.301346	−	0.377875i
$672$	1.64516	+	1.96071i	0.0634636	+	0.0756361i
$673$	−2.19382	+	2.75096i	−0.0845654	+	0.106042i	−0.822314	−	0.569034i	$-0.807317\pi$
$673$	−2.19382	+	2.75096i	−0.0845654	+	0.106042i	0.737749	+	0.675075i	$0.235889\pi$
$674$	−4.08274	−	3.78823i	−0.157261	−	0.145917i
$675$	42.6650	+	6.43072i	1.64218	+	0.247518i
$676$	6.28155	+	4.28269i	0.241598	+	0.164719i
$677$	−3.44341	+	0.519010i	−0.132341	+	0.0199472i	−0.214879	−	0.976641i	$-0.568936\pi$
$677$	−3.44341	+	0.519010i	−0.132341	+	0.0199472i	0.0825377	+	0.996588i	$0.473698\pi$
$678$	−6.15118	−	2.96225i	−0.236235	−	0.113765i
$679$	16.5050	−	5.54502i	0.633405	−	0.212798i
$680$	−1.54587	+	0.744453i	−0.0592815	+	0.0285485i
$681$	−7.60244	+	5.18325i	−0.291326	+	0.198623i
$682$	4.01879	−	3.72889i	0.153888	−	0.142787i
$683$	−0.312791	−	4.17391i	−0.0119686	−	0.159710i	−0.999986	−	0.00536504i	$-0.998292\pi$
$683$	−0.312791	−	4.17391i	−0.0119686	−	0.159710i	0.988017	−	0.154345i	$-0.0493268\pi$
$684$	−3.61842	−	9.21959i	−0.138354	−	0.352520i
$685$	−63.9245			−2.44243
$686$	18.0557	+	4.12225i	0.689368	+	0.157388i
$687$	−18.9019			−0.721152
$688$	3.76005	+	9.58044i	0.143350	+	0.365251i
$689$	1.62075	+	21.6275i	0.0617458	+	0.823941i
$690$	−8.20287	+	7.61115i	−0.312278	+	0.289752i
$691$	12.6199	−	8.60412i	0.480085	−	0.327316i	−0.298981	−	0.954259i	$-0.596647\pi$
$691$	12.6199	−	8.60412i	0.480085	−	0.327316i	0.779065	+	0.626943i	$0.215694\pi$
$692$	13.8777	−	6.68315i	0.527552	−	0.254055i
$693$	4.46363	−	1.49960i	0.169559	−	0.0569650i
$694$	22.5273	+	10.8486i	0.855124	+	0.411806i
$695$	−34.6888	+	5.22850i	−1.31582	+	0.198328i
$696$	−6.88368	−	4.69322i	−0.260925	−	0.177896i
$697$	1.21707	+	0.183443i	0.0460997	+	0.00694842i
$698$	26.0579	+	24.1782i	0.986307	+	0.915159i
$699$	−5.61065	+	7.03553i	−0.212214	+	0.266108i
$700$	14.9777	+	17.8505i	0.566105	+	0.674686i
$701$	23.1366	+	29.0124i	0.873857	+	1.09578i	0.994670	+	0.103107i	$0.0328784\pi$
$701$	23.1366	+	29.0124i	0.873857	+	1.09578i	−0.120813	+	0.992675i	$0.538550\pi$
$702$	−1.66175	+	22.1745i	−0.0627188	+	0.836924i
$703$	−36.8843	+	11.3773i	−1.39112	+	0.429103i
$704$	0.431111	+	0.746707i	0.0162481	+	0.0281426i
$705$	0.104517	−	0.181029i	0.00393633	−	0.00681793i
$706$	−2.95789	+	12.9594i	−0.111322	+	0.487732i
$707$	0.607533	+	1.44132i	0.0228486	+	0.0542065i
$708$	−2.23357	−	9.78590i	−0.0839426	−	0.367777i
$709$	18.5910	+	5.73457i	0.698200	+	0.215366i	0.623481	−	0.781838i	$-0.285718\pi$
$709$	18.5910	+	5.73457i	0.698200	+	0.215366i	0.0747191	+	0.997205i	$0.476194\pi$
$710$	−3.30304	+	8.41600i	−0.123961	+	0.315847i
$711$	2.40873	−	6.13734i	0.0903343	−	0.230168i
$712$	−1.57277	−	0.485134i	−0.0589419	−	0.0181812i
$713$	4.40440	+	19.2969i	0.164946	+	0.722676i
$714$	0.565245	−	1.03791i	0.0211538	−	0.0388430i
$715$	−3.23597	+	14.1777i	−0.121019	+	0.530217i
$716$	11.2809	−	19.5391i	0.421587	−	0.730211i
$717$	3.78098	+	6.54884i	0.141203	+	0.244571i
$718$	4.40844	−	1.35982i	0.164522	−	0.0507482i
$719$	−3.21407	+	42.8888i	−0.119864	+	1.59948i	0.535745	+	0.844380i	$0.320031\pi$
$719$	−3.21407	+	42.8888i	−0.119864	+	1.59948i	−0.655609	+	0.755100i	$0.727588\pi$
$720$	4.78216	+	5.99664i	0.178221	+	0.223482i
$721$	−4.58897	+	6.05803i	−0.170902	+	0.225613i
$722$	2.50821	−	3.14520i	0.0933461	−	0.117052i
$723$	3.61469	+	3.35394i	0.134432	+	0.124734i
$724$	3.21583	+	0.484708i	0.119515	+	0.0180140i
$725$	−62.6698	−	42.7275i	−2.32750	−	1.58686i
$726$	9.81132	−	1.47882i	0.364132	−	0.0548841i
$727$	4.13519	+	1.99140i	0.153366	+	0.0738570i	0.508992	−	0.860771i	$-0.330018\pi$
$727$	4.13519	+	1.99140i	0.153366	+	0.0738570i	−0.355627	+	0.934628i	$0.615732\pi$
$728$	−8.59708	+	8.38501i	−0.318629	+	0.310769i
$729$	−10.1073	+	4.86744i	−0.374346	+	0.180275i
$730$	−8.63574	+	5.88775i	−0.319623	+	0.217915i
$731$	3.48369	−	3.23239i	0.128849	−	0.119554i
$732$	1.04973	+	14.0076i	0.0387990	+	0.517736i
$733$	12.1359	+	30.9217i	0.448249	+	1.14212i	0.959255	+	0.282543i	$0.0911780\pi$
$733$	12.1359	+	30.9217i	0.448249	+	1.14212i	−0.511005	+	0.859577i	$0.670727\pi$
$734$	−24.3419			−0.898478
$735$	−24.3842	−	6.21004i	−0.899425	−	0.229061i
$736$	−3.11297			−0.114745
$737$	0.243613	+	0.620715i	0.00897359	+	0.0228643i
$738$	−0.411168	−	5.48666i	−0.0151353	−	0.201967i
$739$	6.24629	−	5.79571i	0.229774	−	0.213199i	−0.556881	−	0.830593i	$-0.688002\pi$
$739$	6.24629	−	5.79571i	0.229774	−	0.213199i	0.786654	+	0.617394i	$0.211811\pi$
$740$	24.6977	−	16.8386i	0.907906	−	0.619000i
$741$	−18.9825	+	9.14149i	−0.697339	+	0.335821i
$742$	−12.5437	−	1.57219i	−0.460493	−	0.0577168i
$743$	24.7355	+	11.9120i	0.907456	+	0.437008i	0.828576	−	0.559876i	$-0.189151\pi$
$743$	24.7355	+	11.9120i	0.907456	+	0.437008i	0.0788799	+	0.996884i	$0.474866\pi$
$744$	−6.08228	+	0.916756i	−0.222987	+	0.0336099i
$745$	36.4611	+	24.8588i	1.33583	+	0.910755i
$746$	23.8582	+	3.59604i	0.873511	+	0.131661i
$747$	−1.91130	−	1.77343i	−0.0699309	−	0.0648864i
$748$	0.248233	−	0.311274i	0.00907629	−	0.0113813i
$749$	−30.6867	+	15.7314i	−1.12127	+	0.574811i
$750$	−8.53291	−	10.6999i	−0.311578	−	0.390706i
$751$	1.15962	−	15.4740i	0.0423150	−	0.564654i	−0.935246	−	0.353999i	$-0.884821\pi$
$751$	1.15962	−	15.4740i	0.0423150	−	0.564654i	0.977561	−	0.210654i	$-0.0675595\pi$
$752$	0.0555678	−	0.0171404i	0.00202635	−	0.000625046i
$753$	−3.03822	−	5.26236i	−0.110719	−	0.191771i
$754$	19.5453	−	33.8535i	0.711799	−	1.23287i
$755$	19.6056	−	85.8979i	0.713522	−	3.12614i
$756$	−12.4771	−	3.51078i	−0.453787	−	0.127686i
$757$	4.70574	+	20.6172i	0.171033	+	0.749345i	0.985575	+	0.169240i	$0.0541313\pi$
$757$	4.70574	+	20.6172i	0.171033	+	0.749345i	−0.814542	+	0.580105i	$0.803012\pi$
$758$	17.2812	+	5.33053i	0.627680	+	0.193614i
$759$	0.948627	−	2.41706i	0.0344330	−	0.0877338i
$760$	−6.51376	+	16.5968i	−0.236279	+	0.602029i
$761$	−17.2060	−	5.30733i	−0.623715	−	0.192391i	−0.0332414	−	0.999447i	$-0.510583\pi$
$761$	−17.2060	−	5.30733i	−0.623715	−	0.192391i	−0.590474	+	0.807057i	$0.701059\pi$
$762$	−4.13344	−	18.1098i	−0.149739	−	0.656048i
$763$	−9.23896	+	1.62888i	−0.334473	+	0.0589695i
$764$	−4.38916	+	19.2302i	−0.158794	+	0.695724i
$765$	1.77082	−	3.06715i	0.0640242	−	0.110893i
$766$	−5.69047	−	9.85618i	−0.205605	−	0.356118i
$767$	45.0039	−	13.8819i	1.62500	−	0.501245i
$768$	0.0722934	−	0.964688i	0.00260866	−	0.0348102i
$769$	23.0136	+	28.8582i	0.829892	+	1.04065i	0.998488	+	0.0549664i	$0.0175052\pi$
$769$	23.0136	+	28.8582i	0.829892	+	1.04065i	−0.168596	+	0.985685i	$0.553923\pi$
$770$	−7.72641	−	3.48648i	−0.278440	−	0.125644i
$771$	9.69050	−	12.1515i	0.348995	−	0.437626i
$772$	2.19824	+	2.03967i	0.0791165	+	0.0734093i
$773$	22.3447	+	3.36792i	0.803683	+	0.121136i	0.538022	−	0.842931i	$-0.319172\pi$
$773$	22.3447	+	3.36792i	0.803683	+	0.121136i	0.265661	+	0.964066i	$0.414410\pi$
$774$	−17.5526	−	11.9672i	−0.630915	−	0.430151i
$775$	−55.3737	+	8.34624i	−1.98908	+	0.299806i
$776$	−5.92924	−	2.85537i	−0.212847	−	0.102502i
$777$	−7.04248	+	19.3478i	−0.252648	+	0.694100i
$778$	18.1242	−	8.72816i	0.649784	−	0.312920i
$779$	10.5674	−	7.20473i	0.378616	−	0.258136i
$780$	11.9606	−	11.0978i	0.428257	−	0.397365i
$781$	−0.156775	−	2.09202i	−0.00560985	−	0.0748582i
$782$	0.525150	+	1.33806i	0.0187793	+	0.0478489i
$783$	42.1912			1.50779
$784$	−3.79758	−	5.88034i	−0.135628	−	0.210012i
$785$	−64.4383			−2.29990
$786$	5.37632	+	13.6987i	0.191767	+	0.488615i
$787$	−2.11353	−	28.2031i	−0.0753392	−	1.00533i	−0.898914	−	0.438124i	$-0.855643\pi$
$787$	−2.11353	−	28.2031i	−0.0753392	−	1.00533i	0.823575	−	0.567207i	$-0.191976\pi$
$788$	7.55609	−	7.01103i	0.269175	−	0.249757i
$789$	−10.4536	+	7.12713i	−0.372157	+	0.253733i
$790$	−10.6933	+	5.14961i	−0.380450	+	0.183215i
$791$	15.6849	+	10.1308i	0.557691	+	0.360211i
$792$	−1.60351	−	0.772208i	−0.0569781	−	0.0274392i
$793$	−65.1718	+	9.82308i	−2.31432	+	0.348828i
$794$	−20.8708	−	14.2295i	−0.740676	−	0.504984i
$795$	16.9840	+	2.55992i	0.602360	+	0.0907911i
$796$	1.43663	+	1.33300i	0.0509199	+	0.0472468i
$797$	−24.4433	+	30.6510i	−0.865827	+	1.08571i	0.129730	+	0.991549i	$0.458589\pi$
$797$	−24.4433	+	30.6510i	−0.865827	+	1.08571i	−0.995557	+	0.0941633i	$0.969982\pi$
$798$	−3.03017	−	11.9012i	−0.107267	−	0.421300i
$799$	−0.0167417	−	0.0209934i	−0.000592278	−	0.000742693i
$800$	0.658166	−	8.78262i	0.0232697	−	0.310513i
$801$	3.24642	−	1.00139i	0.114707	−	0.0353823i
$802$	9.60526	+	16.6368i	0.339174	+	0.587466i
$803$	1.21264	−	2.10035i	0.0427930	−	0.0741196i
$804$	0.166478	−	0.729386i	0.00587122	−	0.0257235i
$805$	24.8488	−	17.8643i	0.875807	−	0.629635i
$806$	−6.42204	−	28.1368i	−0.226207	−	0.991076i
$807$	15.3893	+	4.74698i	0.541730	+	0.167102i
$808$	0.215984	−	0.550319i	0.00759831	−	0.0193602i
$809$	−6.98125	+	17.7879i	−0.245448	+	0.625390i	−0.999506	−	0.0314167i	$-0.989998\pi$
$809$	−6.98125	+	17.7879i	−0.245448	+	0.625390i	0.754059	+	0.656807i	$0.228093\pi$
$810$	−5.15980	−	1.59159i	−0.181297	−	0.0559227i
$811$	6.55915	+	28.7375i	0.230323	+	1.00911i	0.949373	+	0.314152i	$0.101720\pi$
$811$	6.55915	+	28.7375i	0.230323	+	1.00911i	−0.719050	+	0.694959i	$0.755423\pi$
$812$	17.0839	+	15.0773i	0.599529	+	0.529109i
$813$	−3.56929	+	15.6381i	−0.125180	+	0.548451i
$814$	−3.46807	+	6.00687i	−0.121556	+	0.210541i
$815$	8.76223	+	15.1766i	0.306928	+	0.531614i
$816$	−0.426852	+	0.131666i	−0.0149428	+	0.00460924i
$817$	3.69037	−	49.2446i	0.129110	−	1.72285i
$818$	−6.89375	−	8.64449i	−0.241034	−	0.302248i
$819$	4.91225	−	24.2970i	0.171648	−	0.849004i
$820$	−6.17541	+	7.74372i	−0.215655	+	0.270422i
$821$	−9.78183	−	9.07621i	−0.341388	−	0.316762i	0.490782	−	0.871283i	$-0.336711\pi$
$821$	−9.78183	−	9.07621i	−0.341388	−	0.316762i	−0.832170	+	0.554520i	$0.812902\pi$
$822$	−16.4566	−	2.48043i	−0.573988	−	0.0865148i
$823$	−19.6878	−	13.4229i	−0.686273	−	0.467893i	0.169307	−	0.985563i	$-0.445847\pi$
$823$	−19.6878	−	13.4229i	−0.686273	−	0.467893i	−0.855580	+	0.517671i	$0.826799\pi$
$824$	2.84041	−	0.428123i	0.0989503	−	0.0149144i
$825$	6.61870	+	3.18740i	0.230434	+	0.110971i
$826$	2.73278	+	27.3157i	0.0950856	+	0.950433i
$827$	−20.2307	+	9.74258i	−0.703490	+	0.338783i	−0.751197	−	0.660079i	$-0.770523\pi$
$827$	−20.2307	+	9.74258i	−0.703490	+	0.338783i	0.0477067	+	0.998861i	$0.484809\pi$
$828$	5.30911	−	3.61969i	0.184504	−	0.125793i
$829$	6.76817	−	6.27994i	0.235068	−	0.218111i	−0.553839	−	0.832624i	$-0.686838\pi$
$829$	6.76817	−	6.27994i	0.235068	−	0.218111i	0.788907	+	0.614512i	$0.210647\pi$
$830$	0.350754	+	4.68049i	0.0121749	+	0.162462i
$831$	−2.45173	−	6.24690i	−0.0850495	−	0.216703i
$832$	4.53901			0.157362
$833$	−1.88693	+	2.62433i	−0.0653781	+	0.0909276i
$834$	−9.13308			−0.316253
$835$	2.70066	+	6.88116i	0.0934601	+	0.238132i
$836$	−0.309168	−	4.12556i	−0.0106928	−	0.142686i
$837$	22.8342	−	21.1870i	0.789265	−	0.732331i
$838$	16.7207	−	11.4000i	0.577609	−	0.393807i
$839$	0.748872	−	0.360638i	0.0258539	−	0.0124506i	−0.420912	−	0.907101i	$-0.638290\pi$
$839$	0.748872	−	0.360638i	0.0258539	−	0.0124506i	0.446766	+	0.894651i	$0.352576\pi$
$840$	4.95897	+	8.11537i	0.171101	+	0.280007i
$841$	−40.6962	−	19.5983i	−1.40332	−	0.675802i
$842$	35.6382	−	5.37160i	1.22818	−	0.185118i
$843$	−12.7523	−	8.69434i	−0.439211	−	0.299449i
$844$	−15.2451	−	2.29782i	−0.524757	−	0.0790943i
$845$	20.7085	+	19.2147i	0.712395	+	0.661006i
$846$	−0.0748394	+	0.0938457i	−0.00257303	+	0.00322648i
$847$	−27.1279	+	0.675974i	−0.932126	+	0.0232267i
$848$	2.97914	+	3.73572i	0.102304	+	0.128285i
$849$	1.17377	−	15.6629i	0.0402838	−	0.537549i
$850$	−3.88610	+	1.19870i	−0.133292	+	0.0411152i
$851$	−12.5211	−	21.6872i	−0.429218	−	0.743427i
$852$	−1.17689	+	2.03843i	−0.0403195	+	0.0698354i
$853$	−9.46534	+	41.4704i	−0.324087	+	1.41992i	0.506120	+	0.862463i	$0.331079\pi$
$853$	−9.46534	+	41.4704i	−0.324087	+	1.41992i	−0.830207	+	0.557455i	$0.811778\pi$
$854$	1.91573	−	38.3695i	0.0655548	−	1.31298i
$855$	−8.18927	−	35.8796i	−0.280067	−	1.22705i
$856$	12.4547	+	3.84176i	0.425693	+	0.131309i
$857$	1.24075	−	3.16137i	0.0423831	−	0.107990i	−0.908115	−	0.418721i	$-0.862479\pi$
$857$	1.24075	−	3.16137i	0.0423831	−	0.107990i	0.950498	+	0.310731i	$0.100574\pi$
$858$	−1.38319	+	3.52431i	−0.0472213	+	0.120318i
$859$	−14.2243	−	4.38761i	−0.485326	−	0.149703i	0.0424296	−	0.999099i	$-0.486490\pi$
$859$	−14.2243	−	4.38761i	−0.485326	−	0.149703i	−0.527756	+	0.849396i	$0.676966\pi$
$860$	8.50979	+	37.2838i	0.290182	+	1.27137i
$861$	0.340206	−	6.81387i	0.0115942	−	0.232216i
$862$	−3.59649	+	15.7572i	−0.122497	+	0.536694i
$863$	−2.31577	+	4.01103i	−0.0788298	+	0.136537i	−0.902745	−	0.430175i	$-0.858452\pi$
$863$	−2.31577	+	4.01103i	−0.0788298	+	0.136537i	0.823916	+	0.566713i	$0.191785\pi$
$864$	2.44951	+	4.24268i	0.0833341	+	0.144339i
$865$	54.6922	−	16.8703i	1.85959	−	0.573608i
$866$	−0.277573	+	3.70395i	−0.00943230	+	0.125865i
$867$	−10.1251	−	12.6965i	−0.343867	−	0.431195i
$868$	16.8173	−	0.419053i	0.570815	−	0.0142236i
$869$	1.71710	−	2.15318i	0.0582488	−	0.0730417i
$870$	−22.6936	−	21.0566i	−0.769386	−	0.713885i
$871$	3.47108	+	0.523181i	0.117613	+	0.0177273i
$872$	2.92972	+	1.99745i	0.0992129	+	0.0676422i
$873$	13.4324	−	2.02460i	0.454617	−	0.0685225i
$874$	13.4575	+	6.48078i	0.455206	+	0.219216i
$875$	19.5164	+	31.9386i	0.659774	+	1.07972i
$876$	−2.45162	+	1.18064i	−0.0828326	+	0.0398901i
$877$	17.2105	−	11.7339i	0.581157	−	0.396226i	−0.236755	−	0.971569i	$-0.576084\pi$
$877$	17.2105	−	11.7339i	0.581157	−	0.396226i	0.817912	+	0.575343i	$0.195132\pi$
$878$	7.46185	−	6.92359i	0.251825	−	0.233660i
$879$	0.163812	+	2.18592i	0.00552524	+	0.0737292i
$880$	1.17050	+	2.98239i	0.0394576	+	0.100536i
$881$	30.2150			1.01797			0.508985	−	0.860775i	$-0.330021\pi$
$881$	30.2150			1.01797			0.508985	+	0.860775i	$0.330021\pi$
$882$	13.3142	+	5.61306i	0.448313	+	0.189001i
$883$	18.8255			0.633528			0.316764	−	0.948504i	$-0.397404\pi$
$883$	18.8255			0.633528			0.316764	+	0.948504i	$0.397404\pi$
$884$	−0.765719	−	1.95102i	−0.0257539	−	0.0656199i
$885$	−2.78726	−	37.1934i	−0.0936927	−	1.25024i
$886$	19.6834	−	18.2635i	0.661275	−	0.613574i
$887$	30.5760	−	20.8463i	1.02664	−	0.699952i	0.0719062	−	0.997411i	$-0.477092\pi$
$887$	30.5760	−	20.8463i	1.02664	−	0.699952i	0.954734	+	0.297460i	$0.0961394\pi$
$888$	7.01150	−	3.37656i	0.235290	−	0.113310i
$889$	5.05728	+	50.5503i	0.169616	+	1.69540i
$890$	−5.51015	−	2.65355i	−0.184701	−	0.0889471i
$891$	1.23896	−	0.186743i	0.0415067	−	0.00625613i
$892$	−0.303456	−	0.206893i	−0.0101605	−	0.00692729i
$893$	−0.275906	−	0.0415862i	−0.00923285	−	0.00139163i
$894$	8.42187	+	7.81436i	0.281670	+	0.261351i
$895$	52.2705	−	65.5452i	1.74721	−	2.19093i
$896$	−0.524298	+	2.59328i	−0.0175156	+	0.0866355i
$897$	−8.52251	−	10.6869i	−0.284558	−	0.356825i
$898$	0.768598	−	10.2562i	0.0256485	−	0.342255i
$899$	−52.3260	+	16.1404i	−1.74517	+	0.538313i
$900$	9.08974	+	15.7439i	0.302991	+	0.524796i
$901$	1.10317	−	1.91074i	0.0367518	−	0.0636560i
$902$	0.511415	−	2.24065i	0.0170282	−	0.0746056i
$903$	−19.7503	−	17.4305i	−0.657248	−	0.580049i
$904$	−1.57042	−	6.88047i	−0.0522315	−	0.228841i
$905$	11.5475	+	3.56194i	0.383852	+	0.118403i
$906$	8.38027	−	21.3526i	0.278416	−	0.709392i
$907$	10.8659	−	27.6859i	0.360797	−	0.919296i	−0.629076	−	0.777343i	$-0.716567\pi$
$907$	10.8659	−	27.6859i	0.360797	−	0.919296i	0.989873	−	0.141952i	$-0.0453380\pi$
$908$	−9.08883	−	2.80353i	−0.301623	−	0.0930385i
$909$	0.271541	+	1.18970i	0.00900646	+	0.0394599i
$910$	−36.2320	+	26.0479i	−1.20108	+	0.863481i
$911$	0.525644	−	2.30300i	0.0174154	−	0.0763017i	−0.965473	−	0.260501i	$-0.916112\pi$
$911$	0.525644	−	2.30300i	0.0174154	−	0.0763017i	0.982889	+	0.184200i	$0.0589693\pi$
$912$	−2.32088	+	4.01988i	−0.0768520	+	0.133112i
$913$	−0.544557	−	0.943200i	−0.0180222	−	0.0312154i
$914$	−5.69424	+	1.75644i	−0.188349	+	0.0580979i
$915$	−3.90058	+	52.0496i	−0.128949	+	1.72071i
$916$	−12.1824	−	15.2762i	−0.402517	−	0.504740i
$917$	−9.93044	−	39.0026i	−0.327932	−	1.28798i
$918$	1.41042	−	1.76861i	0.0465509	−	0.0583729i
$919$	15.9487	+	14.7983i	0.526101	+	0.488150i	0.897922	−	0.440154i	$-0.145076\pi$
$919$	15.9487	+	14.7983i	0.526101	+	0.488150i	−0.371822	+	0.928304i	$0.621267\pi$
$920$	−11.4380	−	1.72400i	−0.377100	−	0.0568386i
$921$	2.32270	+	1.58359i	0.0765355	+	0.0521810i
$922$	−15.4681	+	2.33144i	−0.509415	+	0.0767819i
$923$	−9.95021	−	4.79177i	−0.327515	−	0.157723i
$924$	−1.85378	−	1.19735i	−0.0609849	−	0.0393900i
$925$	63.8334	−	30.7405i	2.09883	−	1.01074i
$926$	−9.09728	+	6.20242i	−0.298955	+	0.203824i
$927$	−4.34645	+	4.03292i	−0.142756	+	0.132458i
$928$	−0.643588	−	8.58808i	−0.0211268	−	0.281918i
$929$	7.77126	+	19.8009i	0.254967	+	0.649645i	0.999846	−	0.0175546i	$-0.00558810\pi$
$929$	7.77126	+	19.8009i	0.254967	+	0.649645i	−0.744879	+	0.667199i	$0.767493\pi$
$930$	−22.8559			−0.749474
$931$	4.17503	+	33.3270i	0.136831	+	1.09225i
$932$	−9.30209			−0.304700
$933$	−1.13183	−	2.88386i	−0.0370545	−	0.0944132i
$934$	2.41270	+	32.1953i	0.0789460	+	1.05346i
$935$	1.08447	−	1.00624i	0.0354660	−	0.0329076i
$936$	−7.74119	+	5.27785i	−0.253029	+	0.172512i
$937$	4.39508	−	2.11656i	0.143581	−	0.0691450i	−0.360714	−	0.932677i	$-0.617467\pi$
$937$	4.39508	−	2.11656i	0.143581	−	0.0691450i	0.504295	+	0.863532i	$0.331753\pi$
$938$	−0.699854	+	1.92271i	−0.0228510	+	0.0627787i
$939$	0.0373752	+	0.0179989i	0.00121969	+	0.000587373i
$940$	0.213666	−	0.0322050i	0.00696901	−	0.00105041i
$941$	−25.2746	−	17.2319i	−0.823927	−	0.561744i	0.0763402	−	0.997082i	$-0.475677\pi$
$941$	−25.2746	−	17.2319i	−0.823927	−	0.561744i	−0.900267	+	0.435338i	$0.856629\pi$
$942$	−16.5888	−	2.50036i	−0.540493	−	0.0814662i
$943$	6.08264	+	5.64386i	0.198078	+	0.183789i
$944$	6.46926	−	8.11219i	0.210556	−	0.264029i
$945$	−43.9003	−	19.8097i	−1.42808	−	0.644408i
$946$	−5.53278	−	6.93789i	−0.179886	−	0.225570i
$947$	−3.23836	+	43.2129i	−0.105233	+	1.40423i	0.655515	+	0.755182i	$0.272452\pi$
$947$	−3.23836	+	43.2129i	−0.105233	+	1.40423i	−0.760747	+	0.649048i	$0.775167\pi$
$948$	−2.95267	+	0.910777i	−0.0958982	+	0.0295807i
$949$	−6.38368	−	11.0569i	−0.207223	−	0.358921i
$950$	−21.1295	+	36.5974i	−0.685533	+	1.18738i
$951$	−4.79057	+	20.9888i	−0.155345	+	0.680610i
$952$	1.20313	−	0.212119i	0.0389936	−	0.00687481i
$953$	−6.27068	−	27.4737i	−0.203127	−	0.889959i	−0.969018	−	0.246989i	$-0.920559\pi$
$953$	−6.27068	−	27.4737i	−0.203127	−	0.889959i	0.765891	−	0.642970i	$-0.222298\pi$
$954$	−9.42467	−	2.90712i	−0.305135	−	0.0941216i
$955$	−26.7771	+	68.2268i	−0.866485	+	2.20777i
$956$	−2.85581	+	7.27649i	−0.0923635	+	0.235338i
$957$	6.86434	+	2.11737i	0.221893	+	0.0684448i
$958$	−5.12794	−	22.4670i	−0.165676	−	0.725874i
$959$	43.8144	+	12.3284i	1.41484	+	0.398106i
$960$	0.799885	−	3.50452i	0.0258162	−	0.113108i
$961$	−4.71402	+	8.16492i	−0.152065	+	0.263385i
$962$	18.2570	+	31.6220i	0.588628	+	1.01953i
$963$	−25.7084	+	7.92998i	−0.828440	+	0.255540i
$964$	−0.380916	+	5.08297i	−0.0122685	+	0.163711i
$965$	6.94742	+	8.71179i	0.223645	+	0.280442i
$966$	7.09020	−	3.63475i	0.228123	−	0.116946i
$967$	19.9749	−	25.0478i	0.642350	−	0.805482i	−0.348945	−	0.937143i	$-0.613460\pi$
$967$	19.9749	−	25.0478i	0.642350	−	0.805482i	0.991295	+	0.131662i	$0.0420313\pi$
$968$	7.51860	+	6.97624i	0.241657	+	0.224225i
$969$	2.11941	+	0.319450i	0.0680852	+	0.0102622i
$970$	−20.2045	−	13.7752i	−0.648728	−	0.442295i
$971$	−54.6100	+	8.23113i	−1.75252	+	0.264150i	−0.945323	−	0.326136i	$-0.894253\pi$
$971$	−54.6100	+	8.23113i	−1.75252	+	0.264150i	−0.807195	+	0.590285i	$0.799015\pi$
$972$	−14.5082	−	6.98677i	−0.465350	−	0.224101i
$973$	24.7844	+	3.10640i	0.794551	+	0.0995867i
$974$	12.1180	−	5.83574i	0.388287	−	0.186989i
$975$	31.9529	−	21.7851i	1.02331	−	0.697681i
$976$	−10.6442	+	9.87635i	−0.340712	+	0.316134i
$977$	1.59894	+	21.3363i	0.0511545	+	0.682609i	0.962555	+	0.271088i	$0.0873834\pi$
$977$	1.59894	+	21.3363i	0.0511545	+	0.682609i	−0.911400	+	0.411521i	$0.864998\pi$
$978$	1.66684	+	4.24703i	0.0532995	+	0.135805i
$979$	1.41912			0.0453553
$980$	−10.6969	−	23.7093i	−0.341700	−	0.757366i
$981$	−7.31918			−0.233683
$982$	10.5482	+	26.8763i	0.336605	+	0.857657i
$983$	−2.62401	−	35.0150i	−0.0836930	−	1.11681i	−0.868044	−	0.496488i	$-0.834623\pi$
$983$	−2.62401	−	35.0150i	−0.0836930	−	1.11681i	0.784351	−	0.620318i	$-0.212996\pi$
$984$	−1.89026	+	1.75390i	−0.0602591	+	0.0559123i
$985$	31.6462	−	21.5760i	1.00833	−	0.687469i
$986$	−3.58288	+	1.72542i	−0.114102	+	0.0549487i
$987$	−0.106550	+	0.103922i	−0.00339152	+	0.00330786i
$988$	−19.6223	−	9.44961i	−0.624269	−	0.300632i
$989$	31.6804	−	4.77506i	1.00738	−	0.151838i
$990$	−5.46412	−	3.72537i	−0.173661	−	0.118400i
$991$	−54.9105	−	8.27643i	−1.74429	−	0.262909i	−0.801908	−	0.597448i	$-0.796181\pi$
$991$	−54.9105	−	8.27643i	−1.74429	−	0.262909i	−0.942382	+	0.334539i	$0.891420\pi$
$992$	−4.66097	−	4.32475i	−0.147986	−	0.137311i
$993$	0.415871	−	0.521486i	0.0131973	−	0.0165488i
$994$	3.88704	−	5.13138i	0.123289	−	0.162758i
$995$	4.54038	+	5.69346i	0.143940	+	0.180495i
$996$	−0.0913171	+	1.21854i	−0.00289349	+	0.0386110i
$997$	−6.92485	+	2.13603i	−0.219312	+	0.0676489i	−0.402464	−	0.915436i	$-0.631846\pi$
$997$	−6.92485	+	2.13603i	−0.219312	+	0.0676489i	0.183152	+	0.983085i	$0.441370\pi$
$998$	9.52905	+	16.5048i	0.301637	+	0.522450i
$999$	−19.7050	+	34.1301i	−0.623440	+	1.07983i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.g.b.65.1	✓	24
3.2	odd	2		882.2.z.b.163.2		24
4.3	odd	2		784.2.bg.b.65.2		24
7.2	even	3		686.2.e.c.295.3		24
7.3	odd	6		686.2.g.d.165.2		24
7.4	even	3		686.2.g.f.165.1		24
7.5	odd	6		686.2.e.d.295.2		24
7.6	odd	2		686.2.g.e.569.2		24
49.3	odd	42		686.2.g.e.557.2		24
49.5	odd	42		686.2.e.d.393.2		24
49.8	even	7		686.2.g.f.79.1		24
49.12	odd	42		4802.2.a.l.1.7		12
49.37	even	21		4802.2.a.o.1.6		12
49.41	odd	14		686.2.g.d.79.2		24
49.44	even	21		686.2.e.c.393.3		24
49.46	even	21	inner	98.2.g.b.95.1	yes	24
147.95	odd	42		882.2.z.b.487.2		24
196.95	odd	42		784.2.bg.b.193.2		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.g.b.65.1	✓	24	1.1	even	1	trivial
98.2.g.b.95.1	yes	24	49.46	even	21	inner
686.2.e.c.295.3		24	7.2	even	3
686.2.e.c.393.3		24	49.44	even	21
686.2.e.d.295.2		24	7.5	odd	6
686.2.e.d.393.2		24	49.5	odd	42
686.2.g.d.79.2		24	49.41	odd	14
686.2.g.d.165.2		24	7.3	odd	6
686.2.g.e.557.2		24	49.3	odd	42
686.2.g.e.569.2		24	7.6	odd	2
686.2.g.f.79.1		24	49.8	even	7
686.2.g.f.165.1		24	7.4	even	3
784.2.bg.b.65.2		24	4.3	odd	2
784.2.bg.b.193.2		24	196.95	odd	42
882.2.z.b.163.2		24	3.2	odd	2
882.2.z.b.487.2		24	147.95	odd	42
4802.2.a.l.1.7		12	49.12	odd	42
4802.2.a.o.1.6		12	49.37	even	21

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.g (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.365341 + 0.930874i) q^{2} +(0.0722934 + 0.964688i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(-3.07015 + 2.09319i) q^{5} +(-0.871591 + 0.419736i) q^{6} +(2.50800 - 0.842585i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(2.04110 - 0.307646i) q^{9} +O(q^{10})\)	\(q+(0.365341 + 0.930874i) q^{2} +(0.0722934 + 0.964688i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(-3.07015 + 2.09319i) q^{5} +(-0.871591 + 0.419736i) q^{6} +(2.50800 - 0.842585i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(2.04110 - 0.307646i) q^{9} +(-3.07015 - 2.09319i) q^{10} +(0.852593 + 0.128508i) q^{11} +(-0.709149 - 0.657995i) q^{12} +(2.83002 - 3.54874i) q^{13} +(1.70061 + 2.02680i) q^{14} +(-2.24123 - 2.81041i) q^{15} +(0.0747301 - 0.997204i) q^{16} +(-0.441239 + 0.136104i) q^{17} +(1.03208 + 1.78761i) q^{18} +(-2.39911 + 4.15538i) q^{19} +(0.826846 - 3.62265i) q^{20} +(0.994144 + 2.35852i) q^{21} +(0.191863 + 0.840605i) q^{22} +(-2.97467 - 0.917563i) q^{23} +(0.353428 - 0.900521i) q^{24} +(3.21765 - 8.19844i) q^{25} +(4.33735 + 1.33790i) q^{26} +(1.09014 + 4.77620i) q^{27} +(-1.26539 + 2.32353i) q^{28} +(1.91639 - 8.39624i) q^{29} +(1.79733 - 3.11306i) q^{30} +(-3.17915 - 5.50645i) q^{31} +(0.955573 - 0.294755i) q^{32} +(-0.0623330 + 0.831776i) q^{33} +(-0.287899 - 0.361013i) q^{34} +(-5.93623 + 7.83658i) q^{35} +(-1.28698 + 1.61382i) q^{36} +(5.89702 + 5.47163i) q^{37} +(-4.74462 - 0.715137i) q^{38} +(3.62802 + 2.47354i) q^{39} +(3.67431 - 0.553813i) q^{40} +(-2.40155 - 1.15653i) q^{41} +(-1.83228 + 1.78709i) q^{42} +(-9.27266 + 4.46548i) q^{43} +(-0.712402 + 0.485707i) q^{44} +(-5.62250 + 5.21692i) q^{45} +(-0.232632 - 3.10426i) q^{46} +(0.0212451 + 0.0541316i) q^{47} +0.967393 q^{48} +(5.58010 - 4.22640i) q^{49} +8.80725 q^{50} +(-0.163197 - 0.415819i) q^{51} +(0.339200 + 4.52631i) q^{52} +(-3.50264 + 3.24998i) q^{53} +(-4.04776 + 2.75972i) q^{54} +(-2.88658 + 1.39010i) q^{55} +(-2.62521 - 0.329036i) q^{56} +(-4.18208 - 2.01398i) q^{57} +(8.51597 - 1.28358i) q^{58} +(8.57296 + 5.84494i) q^{59} +(3.55450 + 0.535755i) q^{60} +(-10.6442 - 9.87635i) q^{61} +(3.96434 - 4.97112i) q^{62} +(4.85984 - 2.49137i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.26040 + 16.8189i) q^{65} +(-0.797052 + 0.245858i) q^{66} +(0.386680 + 0.669750i) q^{67} +(0.230877 - 0.399890i) q^{68} +(0.670114 - 2.93596i) q^{69} +(-9.46361 - 2.66286i) q^{70} +(-0.541418 - 2.37211i) q^{71} +(-1.97245 - 0.608419i) q^{72} +(1.02764 - 2.61837i) q^{73} +(-2.93898 + 7.48839i) q^{74} +(8.14155 + 2.51134i) q^{75} +(-1.06770 - 4.67791i) q^{76} +(2.24658 - 0.396085i) q^{77} +(-0.977090 + 4.28091i) q^{78} +(1.59705 - 2.76617i) q^{79} +(1.85791 + 3.21799i) q^{80} +(1.38861 - 0.428328i) q^{81} +(0.199195 - 2.65807i) q^{82} +(-0.787559 - 0.987568i) q^{83} +(-2.33296 - 1.05273i) q^{84} +(1.06978 - 1.34146i) q^{85} +(-7.54448 - 7.00025i) q^{86} +(8.23830 + 1.24172i) q^{87} +(-0.712402 - 0.485707i) q^{88} +(1.62750 - 0.245307i) q^{89} +(-6.91042 - 3.32788i) q^{90} +(4.10758 - 11.2848i) q^{91} +(2.80469 - 1.35067i) q^{92} +(5.08218 - 3.46497i) q^{93} +(-0.0426279 + 0.0395530i) q^{94} +(-1.33238 - 17.7794i) q^{95} +(0.353428 + 0.900521i) q^{96} +6.58096 q^{97} +(5.97289 + 3.65029i) q^{98} +1.77976 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9}+O(q^{10}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9	\( 24 q + 2 q^{2} - 7 q^{3} + 2 q^{4} - 7 q^{6} - 4 q^{8} + 19 q^{9} - 11 q^{11} - 14 q^{13} + 9 q^{15} + 2 q^{16} - 7 q^{17} - 9 q^{18} - 14 q^{19} - 7 q^{20} - 7 q^{21} + q^{22} - 29 q^{23} - 8 q^{25} - 7 q^{26} - 7 q^{27} + 14 q^{28} + 13 q^{29} - 8 q^{30} - 28 q^{31} + 2 q^{32} - 14 q^{33} - 7 q^{34} - 35 q^{35} - 17 q^{36} + 20 q^{37} + 35 q^{38} + 56 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 6 q^{43} + 3 q^{44} + 7 q^{45} + 34 q^{46} + 42 q^{47} + 14 q^{48} + 28 q^{49} + 16 q^{50} + 32 q^{51} - 7 q^{52} - 60 q^{53} + 21 q^{54} - 14 q^{55} + 7 q^{56} + 23 q^{57} + 18 q^{58} + 49 q^{59} + 6 q^{60} - 14 q^{61} - 28 q^{63} - 4 q^{64} - 28 q^{65} + 21 q^{66} + 24 q^{67} - 14 q^{68} + 7 q^{69} - 28 q^{70} + 6 q^{71} - 2 q^{72} - 35 q^{73} - 15 q^{74} - 56 q^{75} + 49 q^{77} + 6 q^{79} - 14 q^{80} - 45 q^{81} - 14 q^{82} - 77 q^{83} - 21 q^{84} - 33 q^{85} - 38 q^{86} + 63 q^{87} + 3 q^{88} - 21 q^{90} - 21 q^{91} - 5 q^{92} - 38 q^{93} - 35 q^{94} + 86 q^{95} + 98 q^{97} + 28 q^{98} - 106 q^{99}+O(q^{100}) \) 24 * q + 2 * q^2 - 7 * q^3 + 2 * q^4 - 7 * q^6 - 4 * q^8 + 19 * q^9 - 11 * q^11 - 14 * q^13 + 9 * q^15 + 2 * q^16 - 7 * q^17 - 9 * q^18 - 14 * q^19 - 7 * q^20 - 7 * q^21 + q^22 - 29 * q^23 - 8 * q^25 - 7 * q^26 - 7 * q^27 + 14 * q^28 + 13 * q^29 - 8 * q^30 - 28 * q^31 + 2 * q^32 - 14 * q^33 - 7 * q^34 - 35 * q^35 - 17 * q^36 + 20 * q^37 + 35 * q^38 + 56 * q^39 + 14 * q^40 + 28 * q^41 - 21 * q^42 + 6 * q^43 + 3 * q^44 + 7 * q^45 + 34 * q^46 + 42 * q^47 + 14 * q^48 + 28 * q^49 + 16 * q^50 + 32 * q^51 - 7 * q^52 - 60 * q^53 + 21 * q^54 - 14 * q^55 + 7 * q^56 + 23 * q^57 + 18 * q^58 + 49 * q^59 + 6 * q^60 - 14 * q^61 - 28 * q^63 - 4 * q^64 - 28 * q^65 + 21 * q^66 + 24 * q^67 - 14 * q^68 + 7 * q^69 - 28 * q^70 + 6 * q^71 - 2 * q^72 - 35 * q^73 - 15 * q^74 - 56 * q^75 + 49 * q^77 + 6 * q^79 - 14 * q^80 - 45 * q^81 - 14 * q^82 - 77 * q^83 - 21 * q^84 - 33 * q^85 - 38 * q^86 + 63 * q^87 + 3 * q^88 - 21 * q^90 - 21 * q^91 - 5 * q^92 - 38 * q^93 - 35 * q^94 + 86 * q^95 + 98 * q^97 + 28 * q^98 - 106 * q^99

Introduction

L-functions

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