LMFDB - Embedded newform 98.2.g.b.65.2

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			65.2
Character	$\chi$	$=$	98.65
Dual form			98.2.g.b.95.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.365341 + 0.930874i) q^{2} +(0.125927 + 1.68037i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(1.87725 - 1.27989i) q^{5} +(-1.51821 + 0.731131i) q^{6} +(-2.59910 + 0.494638i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.158698 - 0.0239199i) q^{9} +O(q^{10})$	\(q+(0.365341 + 0.930874i) q^{2} +(0.125927 + 1.68037i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(1.87725 - 1.27989i) q^{5} +(-1.51821 + 0.731131i) q^{6} +(-2.59910 + 0.494638i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.158698 - 0.0239199i) q^{9} +(1.87725 + 1.27989i) q^{10} +(-1.90720 - 0.287464i) q^{11} +(-1.23525 - 1.14615i) q^{12} +(0.691283 - 0.866841i) q^{13} +(-1.41000 - 2.23872i) q^{14} +(2.38709 + 2.99331i) q^{15} +(0.0747301 - 0.997204i) q^{16} +(3.05379 - 0.941971i) q^{17} +(0.0802455 + 0.138989i) q^{18} +(3.66738 - 6.35209i) q^{19} +(-0.505578 + 2.21508i) q^{20} +(-1.15847 - 4.30517i) q^{21} +(-0.429185 - 1.88038i) q^{22} +(-3.64515 - 1.12438i) q^{23} +(0.615630 - 1.56860i) q^{24} +(0.0592542 - 0.150977i) q^{25} +(1.05947 + 0.326804i) q^{26} +(1.18508 + 5.19217i) q^{27} +(1.56884 - 2.13043i) q^{28} +(-1.59945 + 7.00765i) q^{29} +(-1.91429 + 3.31565i) q^{30} +(-2.16256 - 3.74567i) q^{31} +(0.955573 - 0.294755i) q^{32} +(0.242879 - 3.24100i) q^{33} +(1.99253 + 2.49856i) q^{34} +(-4.24609 + 4.25512i) q^{35} +(-0.100065 + 0.125477i) q^{36} +(-6.15101 - 5.70730i) q^{37} +(7.25284 + 1.09319i) q^{38} +(1.54367 + 1.05245i) q^{39} +(-2.24667 + 0.338631i) q^{40} +(-4.54030 - 2.18649i) q^{41} +(3.58433 - 2.65125i) q^{42} +(-0.813247 + 0.391639i) q^{43} +(1.59360 - 1.08650i) q^{44} +(0.267302 - 0.248020i) q^{45} +(-0.285067 - 3.80396i) q^{46} +(4.41542 + 11.2503i) q^{47} +1.68508 q^{48} +(6.51067 - 2.57123i) q^{49} +0.162189 q^{50} +(1.96742 + 5.01289i) q^{51} +(0.0828556 + 1.10563i) q^{52} +(-10.3854 + 9.63628i) q^{53} +(-4.40029 + 3.00007i) q^{54} +(-3.94821 + 1.90136i) q^{55} +(2.55633 + 0.682055i) q^{56} +(11.1357 + 5.36267i) q^{57} +(-7.10759 + 1.07130i) q^{58} +(-0.146306 - 0.0997501i) q^{59} +(-3.78583 - 0.570621i) q^{60} +(-4.70938 - 4.36967i) q^{61} +(2.69667 - 3.38152i) q^{62} +(-0.400642 + 0.140669i) q^{63} +(0.623490 + 0.781831i) q^{64} +(0.188252 - 2.51204i) q^{65} +(3.10570 - 0.957980i) q^{66} +(7.26704 + 12.5869i) q^{67} +(-1.59789 + 2.76762i) q^{68} +(1.43036 - 6.26680i) q^{69} +(-5.51225 - 2.39800i) q^{70} +(-2.21525 - 9.70563i) q^{71} +(-0.153361 - 0.0473056i) q^{72} +(1.35888 - 3.46236i) q^{73} +(3.06556 - 7.81092i) q^{74} +(0.261160 + 0.0805571i) q^{75} +(1.63214 + 7.15086i) q^{76} +(5.09919 - 0.196224i) q^{77} +(-0.415737 + 1.82146i) q^{78} +(4.25014 - 7.36146i) q^{79} +(-1.13602 - 1.96765i) q^{80} +(-8.11546 + 2.50329i) q^{81} +(0.376591 - 5.02526i) q^{82} +(-0.671812 - 0.842425i) q^{83} +(3.77748 + 2.36795i) q^{84} +(4.52712 - 5.67683i) q^{85} +(-0.661679 - 0.613948i) q^{86} +(-11.9769 - 1.80522i) q^{87} +(1.59360 + 1.08650i) q^{88} +(4.16594 - 0.627915i) q^{89} +(0.328532 + 0.158213i) q^{90} +(-1.36794 + 2.59494i) q^{91} +(3.43686 - 1.65510i) q^{92} +(6.02180 - 4.10559i) q^{93} +(-8.85948 + 8.22040i) q^{94} +(-1.24537 - 16.6183i) q^{95} +(0.615630 + 1.56860i) q^{96} -5.62699 q^{97} +(4.77210 + 5.12123i) q^{98} -0.309545 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
$3$	0.125927	+	1.68037i	0.0727037	+	0.970163i	0.907622	+	0.419789i	$0.137896\pi$
$3$	0.125927	+	1.68037i	0.0727037	+	0.970163i	−0.834918	+	0.550374i	$0.814485\pi$
$4$	−0.733052	+	0.680173i	−0.366526	+	0.340086i
$5$	1.87725	−	1.27989i	0.839533	−	0.572384i	−0.0654386	−	0.997857i	$-0.520845\pi$
$5$	1.87725	−	1.27989i	0.839533	−	0.572384i	0.904971	+	0.425473i	$0.139892\pi$
$6$	−1.51821	+	0.731131i	−0.619806	+	0.298483i
$7$	−2.59910	+	0.494638i	−0.982368	+	0.186955i
$7$	−2.59910	+	0.494638i	−0.982368	+	0.186955i
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	0.158698	−	0.0239199i	0.0528995	−	0.00797332i
$10$	1.87725	+	1.27989i	0.593639	+	0.404736i
$11$	−1.90720	−	0.287464i	−0.575041	−	0.0866735i	−0.144918	−	0.989444i	$-0.546292\pi$
$11$	−1.90720	−	0.287464i	−0.575041	−	0.0866735i	−0.430123	+	0.902770i	$0.641530\pi$
$12$	−1.23525	−	1.14615i	−0.356587	−	0.330865i
$13$	0.691283	−	0.866841i	0.191727	−	0.240418i	−0.676671	−	0.736285i	$-0.736578\pi$
$13$	0.691283	−	0.866841i	0.191727	−	0.240418i	0.868399	+	0.495867i	$0.165150\pi$
$14$	−1.41000	−	2.23872i	−0.376839	−	0.598324i
$15$	2.38709	+	2.99331i	0.616343	+	0.772869i
$16$	0.0747301	−	0.997204i	0.0186825	−	0.249301i
$17$	3.05379	−	0.941971i	0.740654	−	0.228462i	0.0986067	−	0.995126i	$-0.468561\pi$
$17$	3.05379	−	0.941971i	0.740654	−	0.228462i	0.642047	+	0.766665i	$0.278085\pi$
$18$	0.0802455	+	0.138989i	0.0189140	+	0.0327601i
$19$	3.66738	−	6.35209i	0.841355	−	1.45727i	−0.0473951	−	0.998876i	$-0.515092\pi$
$19$	3.66738	−	6.35209i	0.841355	−	1.45727i	0.888750	−	0.458393i	$-0.151575\pi$
$20$	−0.505578	+	2.21508i	−0.113051	+	0.495307i
$21$	−1.15847	−	4.30517i	−0.252799	−	0.939466i
$22$	−0.429185	−	1.88038i	−0.0915025	−	0.400899i
$23$	−3.64515	−	1.12438i	−0.760067	−	0.234450i	−0.109591	−	0.993977i	$-0.534954\pi$
$23$	−3.64515	−	1.12438i	−0.760067	−	0.234450i	−0.650476	+	0.759527i	$0.725430\pi$
$24$	0.615630	−	1.56860i	0.125665	−	0.320189i
$25$	0.0592542	−	0.150977i	0.0118508	−	0.0301955i
$26$	1.05947	+	0.326804i	0.207780	+	0.0640916i
$27$	1.18508	+	5.19217i	0.228068	+	0.999233i
$28$	1.56884	−	2.13043i	0.296483	−	0.402614i
$29$	−1.59945	+	7.00765i	−0.297011	+	1.30129i	0.577543	+	0.816360i	$0.304012\pi$
$29$	−1.59945	+	7.00765i	−0.297011	+	1.30129i	−0.874554	+	0.484929i	$0.838846\pi$
$30$	−1.91429	+	3.31565i	−0.349501	+	0.605353i
$31$	−2.16256	−	3.74567i	−0.388408	−	0.672742i	0.603828	−	0.797115i	$-0.293642\pi$
$31$	−2.16256	−	3.74567i	−0.388408	−	0.672742i	−0.992236	+	0.124373i	$0.960308\pi$
$32$	0.955573	−	0.294755i	0.168923	−	0.0521058i
$33$	0.242879	−	3.24100i	0.0422799	−	0.564186i
$34$	1.99253	+	2.49856i	0.341717	+	0.428499i
$35$	−4.24609	+	4.25512i	−0.717720	+	0.719247i
$36$	−0.100065	+	0.125477i	−0.0166774	+	0.0209128i
$37$	−6.15101	−	5.70730i	−1.01122	−	0.938275i	−0.0131212	−	0.999914i	$-0.504177\pi$
$37$	−6.15101	−	5.70730i	−1.01122	−	0.938275i	−0.998098	+	0.0616392i	$0.980367\pi$
$38$	7.25284	+	1.09319i	1.17657	+	0.177339i
$39$	1.54367	+	1.05245i	0.247184	+	0.168528i
$40$	−2.24667	+	0.338631i	−0.355229	+	0.0535422i
$41$	−4.54030	−	2.18649i	−0.709075	−	0.341473i	0.0443411	−	0.999016i	$-0.485881\pi$
$41$	−4.54030	−	2.18649i	−0.709075	−	0.341473i	−0.753416	+	0.657544i	$0.771595\pi$
$42$	3.58433	−	2.65125i	0.553075	−	0.409096i
$43$	−0.813247	+	0.391639i	−0.124019	+	0.0597244i	−0.494864	−	0.868970i	$-0.664782\pi$
$43$	−0.813247	+	0.391639i	−0.124019	+	0.0597244i	0.370845	+	0.928695i	$0.379068\pi$
$44$	1.59360	−	1.08650i	0.240244	−	0.163796i
$45$	0.267302	−	0.248020i	0.0398470	−	0.0369727i
$46$	−0.285067	−	3.80396i	−0.0420309	−	0.560863i
$47$	4.41542	+	11.2503i	0.644055	+	1.64103i	0.761669	+	0.647966i	$0.224380\pi$
$47$	4.41542	+	11.2503i	0.644055	+	1.64103i	−0.117614	+	0.993059i	$0.537525\pi$
$48$	1.68508			0.243221
$49$	6.51067	−	2.57123i	0.930095	−	0.367318i
$50$	0.162189			0.0229370
$51$	1.96742	+	5.01289i	0.275493	+	0.701946i
$52$	0.0828556	+	1.10563i	0.0114900	+	0.153323i
$53$	−10.3854	+	9.63628i	−1.42655	+	1.32365i	−0.556349	+	0.830949i	$0.687798\pi$
$53$	−10.3854	+	9.63628i	−1.42655	+	1.32365i	−0.870201	+	0.492697i	$0.836011\pi$
$54$	−4.40029	+	3.00007i	−0.598804	+	0.408258i
$55$	−3.94821	+	1.90136i	−0.532376	+	0.256379i
$56$	2.55633	+	0.682055i	0.341603	+	0.0911435i
$57$	11.1357	+	5.36267i	1.47496	+	0.710303i
$58$	−7.10759	+	1.07130i	−0.933272	+	0.140668i
$59$	−0.146306	−	0.0997501i	−0.0190475	−	0.0129864i	0.553759	−	0.832677i	$-0.313193\pi$
$59$	−0.146306	−	0.0997501i	−0.0190475	−	0.0129864i	−0.572806	+	0.819691i	$0.694145\pi$
$60$	−3.78583	−	0.570621i	−0.488748	−	0.0736669i
$61$	−4.70938	−	4.36967i	−0.602974	−	0.559478i	0.318498	−	0.947924i	$-0.396822\pi$
$61$	−4.70938	−	4.36967i	−0.602974	−	0.559478i	−0.921472	+	0.388445i	$0.873012\pi$
$62$	2.69667	−	3.38152i	0.342478	−	0.429454i
$63$	−0.400642	+	0.140669i	−0.0504761	+	0.0177226i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	0.188252	−	2.51204i	0.0233497	−	0.311581i
$66$	3.10570	−	0.957980i	0.382285	−	0.117919i
$67$	7.26704	+	12.5869i	0.887811	+	1.53773i	0.842458	+	0.538762i	$0.181108\pi$
$67$	7.26704	+	12.5869i	0.887811	+	1.53773i	0.0453529	+	0.998971i	$0.485559\pi$
$68$	−1.59789	+	2.76762i	−0.193772	+	0.335623i
$69$	1.43036	−	6.26680i	0.172195	−	0.754434i
$70$	−5.51225	−	2.39800i	−0.658840	−	0.286616i
$71$	−2.21525	−	9.70563i	−0.262901	−	1.15185i	−0.918087	−	0.396378i	$-0.870267\pi$
$71$	−2.21525	−	9.70563i	−0.262901	−	1.15185i	0.655186	−	0.755468i	$-0.272590\pi$
$72$	−0.153361	−	0.0473056i	−0.0180738	−	0.00557501i
$73$	1.35888	−	3.46236i	0.159044	−	0.405238i	−0.829032	−	0.559201i	$-0.811108\pi$
$73$	1.35888	−	3.46236i	0.159044	−	0.405238i	0.988077	+	0.153962i	$0.0492034\pi$
$74$	3.06556	−	7.81092i	0.356364	−	0.908002i
$75$	0.261160	+	0.0805571i	0.0301561	+	0.00930194i
$76$	1.63214	+	7.15086i	0.187219	+	0.820260i
$77$	5.09919	−	0.196224i	0.581107	−	0.0223617i
$78$	−0.415737	+	1.82146i	−0.0470730	+	0.206240i
$79$	4.25014	−	7.36146i	0.478178	−	0.828229i	−0.521509	−	0.853246i	$-0.674631\pi$
$79$	4.25014	−	7.36146i	0.478178	−	0.828229i	0.999687	+	0.0250169i	$0.00796395\pi$
$80$	−1.13602	−	1.96765i	−0.127011	−	0.219990i
$81$	−8.11546	+	2.50329i	−0.901718	+	0.278143i
$82$	0.376591	−	5.02526i	0.0415875	−	0.554947i
$83$	−0.671812	−	0.842425i	−0.0737409	−	0.0924682i	0.743593	−	0.668633i	$-0.233120\pi$
$83$	−0.671812	−	0.842425i	−0.0737409	−	0.0924682i	−0.817334	+	0.576165i	$0.804549\pi$
$84$	3.77748	+	2.36795i	0.412157	+	0.258365i
$85$	4.52712	−	5.67683i	0.491036	−	0.615739i
$86$	−0.661679	−	0.613948i	−0.0713507	−	0.0662037i
$87$	−11.9769	−	1.80522i	−1.28406	−	0.193540i
$88$	1.59360	+	1.08650i	0.169878	+	0.115821i
$89$	4.16594	−	0.627915i	0.441589	−	0.0665588i	0.0755152	−	0.997145i	$-0.475940\pi$
$89$	4.16594	−	0.627915i	0.441589	−	0.0665588i	0.366074	+	0.930586i	$0.380702\pi$
$90$	0.328532	+	0.158213i	0.0346303	+	0.0166771i
$91$	−1.36794	+	2.59494i	−0.143399	+	0.272024i
$92$	3.43686	−	1.65510i	0.358317	−	0.172557i
$93$	6.02180	−	4.10559i	0.624431	−	0.425730i
$94$	−8.85948	+	8.22040i	−0.913786	+	0.847869i
$95$	−1.24537	−	16.6183i	−0.127772	−	1.70500i
$96$	0.615630	+	1.56860i	0.0628325	+	0.160095i
$97$	−5.62699			−0.571334			−0.285667	−	0.958329i	$-0.592215\pi$
$97$	−5.62699			−0.571334			−0.285667	+	0.958329i	$0.592215\pi$
$98$	4.77210	+	5.12123i	0.482055	+	0.517323i
$99$	−0.309545			−0.0311105
$100$	0.0592542	+	0.150977i	0.00592542	+	0.0150977i
$101$	0.548078	+	7.31359i	0.0545358	+	0.727730i	0.955717	+	0.294287i	$0.0950822\pi$
$101$	0.548078	+	7.31359i	0.0545358	+	0.727730i	−0.901181	+	0.433442i	$0.857299\pi$
$102$	−3.94759	+	3.66283i	−0.390870	+	0.362674i
$103$	−1.80611	+	1.23139i	−0.177962	+	0.121332i	−0.649025	−	0.760767i	$-0.724823\pi$
$103$	−1.80611	+	1.23139i	−0.177962	+	0.121332i	0.471063	+	0.882100i	$0.343870\pi$
$104$	−0.998932	+	0.481060i	−0.0979534	+	0.0471719i
$105$	−7.68488	−	6.59918i	−0.749968	−	0.644014i
$106$	−12.7644	−	6.14701i	−1.23979	−	0.597050i
$107$	15.9187	−	2.39936i	1.53892	−	0.231955i	0.675849	−	0.737040i	$-0.263777\pi$
$107$	15.9187	−	2.39936i	1.53892	−	0.231955i	0.863069	+	0.505086i	$0.168539\pi$
$108$	−4.40029	−	3.00007i	−0.423419	−	0.288682i
$109$	15.3621	+	2.31546i	1.47142	+	0.221781i	0.835293	−	0.549805i	$-0.185298\pi$
$109$	15.3621	+	2.31546i	1.47142	+	0.221781i	0.636125	+	0.771586i	$0.280536\pi$
$110$	−3.21237	−	2.98064i	−0.306287	−	0.284193i
$111$	8.81582	−	11.0547i	0.836760	−	1.04926i
$112$	0.299023	+	2.62880i	0.0282550	+	0.248398i
$113$	−0.923571	−	1.15812i	−0.0868823	−	0.108947i	0.736490	−	0.676448i	$-0.236482\pi$
$113$	−0.923571	−	1.15812i	−0.0868823	−	0.108947i	−0.823373	+	0.567501i	$0.807910\pi$
$114$	−0.923641	+	12.3251i	−0.0865069	+	1.15435i
$115$	−8.28195	+	2.55464i	−0.772296	+	0.238222i
$116$	−3.59393	−	6.22488i	−0.333688	−	0.577965i
$117$	0.0889707	−	0.154102i	0.00822534	−	0.0142467i
$118$	0.0394030	−	0.172636i	0.00362734	−	0.0158924i
$119$	−7.47119	+	3.95880i	−0.684883	+	0.362903i
$120$	−0.851941	−	3.73260i	−0.0777712	−	0.340738i
$121$	−6.95654	−	2.14581i	−0.632413	−	0.195073i
$122$	2.34708	−	5.98026i	0.212494	−	0.541427i
$123$	3.10238	−	7.90473i	0.279732	−	0.712745i
$124$	4.13298	+	1.27485i	0.371152	+	0.114485i
$125$	2.44589	+	10.7161i	0.218767	+	0.958481i
$126$	−0.277316	−	0.321555i	−0.0247052	−	0.0286464i
$127$	3.14034	−	13.7587i	0.278660	−	1.22089i	−0.620828	−	0.783947i	$-0.713203\pi$
$127$	3.14034	−	13.7587i	0.278660	−	1.22089i	0.899488	−	0.436945i	$-0.143939\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	−0.760509	−	1.31724i	−0.0669591	−	0.115976i
$130$	2.40717	−	0.742514i	0.211123	−	0.0651228i
$131$	−0.745440	+	9.94721i	−0.0651294	+	0.869091i	0.864979	+	0.501807i	$0.167331\pi$
$131$	−0.745440	+	9.94721i	−0.0651294	+	0.869091i	−0.930109	+	0.367284i	$0.880288\pi$
$132$	2.02640	+	2.54102i	0.176375	+	0.221167i
$133$	−6.38992	+	18.3238i	−0.554076	+	1.58887i
$134$	−9.06186	+	11.3632i	−0.782825	+	0.981632i
$135$	8.87009	+	8.23024i	0.763415	+	0.708346i
$136$	−3.16008	−	0.476305i	−0.270975	−	0.0408429i
$137$	5.29508	+	3.61013i	0.452389	+	0.308434i	0.767994	−	0.640457i	$-0.221255\pi$
$137$	5.29508	+	3.61013i	0.452389	+	0.308434i	−0.315605	+	0.948891i	$0.602207\pi$
$138$	6.35617	−	0.958039i	0.541073	−	0.0815537i
$139$	0.528519	+	0.254521i	0.0448284	+	0.0215882i	0.456164	−	0.889896i	$-0.349223\pi$
$139$	0.528519	+	0.254521i	0.0448284	+	0.0215882i	−0.411335	+	0.911484i	$0.634937\pi$
$140$	0.218386	−	6.00730i	0.0184570	−	0.507709i
$141$	−18.3487	+	8.83626i	−1.54524	+	0.744147i
$142$	8.22539	−	5.60798i	0.690260	−	0.470611i
$143$	−1.56760	+	1.45452i	−0.131089	+	0.121633i
$144$	−0.0119935	−	0.160042i	−0.000999459	−	0.0133369i
$145$	5.96644	+	15.2023i	0.495486	+	1.26248i
$146$	3.71947			0.307826
$147$	5.14048	+	10.6166i	0.423980	+	0.875639i
$148$	8.39096			0.689733
$149$	0.395299	+	1.00721i	0.0323842	+	0.0825135i	0.946151	−	0.323725i	$-0.104935\pi$
$149$	0.395299	+	1.00721i	0.0323842	+	0.0825135i	−0.913767	+	0.406239i	$0.866840\pi$
$150$	0.0204239	+	0.272538i	0.00166760	+	0.0222526i
$151$	3.51161	−	3.25830i	0.285771	−	0.265156i	−0.524241	−	0.851570i	$-0.675651\pi$
$151$	3.51161	−	3.25830i	0.285771	−	0.265156i	0.810012	+	0.586413i	$0.199461\pi$
$152$	−6.06026	+	4.13182i	−0.491552	+	0.335135i
$153$	0.462101	−	0.222536i	0.0373586	−	0.0179910i
$154$	2.04560	+	4.67501i	0.164839	+	0.376723i
$155$	−8.85372	−	4.26373i	−0.711148	−	0.342471i
$156$	−1.84744	+	0.278457i	−0.147913	+	0.0222944i
$157$	15.2329	+	10.3856i	1.21571	+	0.828860i	0.989403	−	0.145195i	$-0.0463811\pi$
$157$	15.2329	+	10.3856i	1.21571	+	0.828860i	0.226311	+	0.974055i	$0.427333\pi$
$158$	8.40534	+	1.26690i	0.668693	+	0.100789i
$159$	−17.5003	−	16.2379i	−1.38787	−	1.28775i
$160$	1.41660	−	1.77636i	0.111992	−	0.140433i
$161$	10.0303	+	1.11935i	0.790497	+	0.0882172i
$162$	−5.29516	−	6.63991i	−0.416027	−	0.521681i
$163$	−1.46092	+	19.4946i	−0.114428	+	1.52693i	0.584295	+	0.811541i	$0.301371\pi$
$163$	−1.46092	+	19.4946i	−0.114428	+	1.52693i	−0.698723	+	0.715393i	$0.746248\pi$
$164$	4.81546	−	1.48537i	0.376025	−	0.115988i
$165$	−3.69217	−	6.39503i	−0.287435	−	0.497852i
$166$	0.538751	−	0.933145i	0.0418152	−	0.0724261i
$167$	4.15925	−	18.2229i	0.321852	−	1.41013i	−0.512401	−	0.858746i	$-0.671244\pi$
$167$	4.15925	−	18.2229i	0.321852	−	1.41013i	0.834254	−	0.551381i	$-0.185899\pi$
$168$	−0.824198	+	4.38147i	−0.0635882	+	0.338038i
$169$	2.61923	+	11.4756i	0.201479	+	0.882738i
$170$	6.93836	+	2.14020i	0.532148	+	0.164146i
$171$	0.430066	−	1.09579i	0.0328880	−	0.0837972i
$172$	0.329770	−	0.840240i	0.0251447	−	0.0640677i
$173$	9.85106	+	3.03865i	0.748962	+	0.231024i	0.645659	−	0.763626i	$-0.276583\pi$
$173$	9.85106	+	3.03865i	0.748962	+	0.231024i	0.103303	+	0.994650i	$0.467059\pi$
$174$	−2.69521	−	11.8085i	−0.204323	−	0.895199i
$175$	−0.0793288	+	0.421715i	−0.00599669	+	0.0318787i
$176$	−0.429185	+	1.88038i	−0.0323510	+	0.141739i
$177$	0.149193	−	0.258411i	0.0112141	−	0.0194233i
$178$	2.10650	+	3.64856i	0.157889	+	0.273471i
$179$	0.138417	−	0.0426959i	0.0103457	−	0.00319124i	−0.289578	−	0.957154i	$-0.593515\pi$
$179$	0.138417	−	0.0426959i	0.0103457	−	0.00319124i	0.299924	+	0.953963i	$0.403039\pi$
$180$	−0.0272498	+	0.363623i	−0.00203108	+	0.0271029i
$181$	−10.0949	−	12.6586i	−0.750348	−	0.940906i	0.249273	−	0.968433i	$-0.419808\pi$
$181$	−10.0949	−	12.6586i	−0.750348	−	0.940906i	−0.999621	+	0.0275270i	$0.991237\pi$
$182$	−2.91533	−	0.325342i	−0.216099	−	0.0241160i
$183$	6.74963	−	8.46377i	0.498947	−	0.625660i
$184$	2.79632	+	2.59460i	0.206147	+	0.191277i
$185$	−18.8517	−	2.84144i	−1.38600	−	0.208907i
$186$	6.02180	+	4.10559i	0.441540	+	0.301037i
$187$	−6.09497	+	0.918669i	−0.445708	+	0.0671797i
$188$	−10.8889	−	5.24381i	−0.794153	−	0.382444i
$189$	−5.64838	−	12.9088i	−0.410859	−	0.938976i
$190$	15.0146	−	7.23063i	1.08927	−	0.524565i
$191$	−6.71145	+	4.57579i	−0.485624	+	0.331093i	−0.781258	−	0.624209i	$-0.785422\pi$
$191$	−6.71145	+	4.57579i	−0.485624	+	0.331093i	0.295634	+	0.955301i	$0.404469\pi$
$192$	−1.23525	+	1.14615i	−0.0891468	+	0.0827161i
$193$	−0.965036	−	12.8775i	−0.0694648	−	0.926943i	−0.917687	−	0.397303i	$-0.869946\pi$
$193$	−0.965036	−	12.8775i	−0.0694648	−	0.926943i	0.848223	−	0.529640i	$-0.177673\pi$
$194$	−2.05577	−	5.23802i	−0.147596	−	0.376068i
$195$	4.24487			0.303982
$196$	−3.02378	+	6.31322i	−0.215984	+	0.450944i
$197$	−11.9299			−0.849969			−0.424984	−	0.905201i	$-0.639720\pi$
$197$	−11.9299			−0.849969			−0.424984	+	0.905201i	$0.639720\pi$
$198$	−0.113090	−	0.288148i	−0.00803693	−	0.0204778i
$199$	0.486540	+	6.49242i	0.0344899	+	0.460236i	0.987534	+	0.157405i	$0.0503127\pi$
$199$	0.486540	+	6.49242i	0.0344899	+	0.460236i	−0.953044	+	0.302831i	$0.902068\pi$
$200$	−0.118893	+	0.110316i	−0.00840699	+	0.00780055i
$201$	−20.2355	+	13.7964i	−1.42731	+	0.973120i
$202$	−6.60779	+	3.18215i	−0.464923	+	0.223895i
$203$	0.690889	−	19.0048i	0.0484909	−	1.33387i
$204$	−4.85185	−	2.33653i	−0.339698	−	0.163590i
$205$	−11.3217	+	1.70648i	−0.790745	+	0.119186i
$206$	−1.80611	−	1.23139i	−0.125838	−	0.0857949i
$207$	−0.605375	−	0.0912456i	−0.0420765	−	0.00634201i
$208$	−0.812758	−	0.754129i	−0.0563546	−	0.0522894i
$209$	−8.82041	+	11.0604i	−0.610120	+	0.765067i
$210$	3.33540	−	9.56461i	0.230164	−	0.660021i
$211$	0.353805	+	0.443657i	0.0243569	+	0.0305426i	0.793861	−	0.608100i	$-0.208068\pi$
$211$	0.353805	+	0.443657i	0.0243569	+	0.0305426i	−0.769504	+	0.638642i	$0.779496\pi$
$212$	1.05873	−	14.1278i	0.0727140	−	0.970301i
$213$	16.0301	−	4.94463i	1.09836	−	0.338801i
$214$	8.04925	+	13.9417i	0.550235	+	0.953035i
$215$	−1.02541	+	1.77607i	−0.0699327	+	0.121127i
$216$	1.18508	−	5.19217i	0.0806344	−	0.353282i
$217$	7.47348	+	8.66570i	0.507333	+	0.588266i
$218$	3.45699	+	15.1461i	0.234137	+	1.02582i
$219$	5.98917	+	1.84741i	0.404711	+	0.124837i
$220$	1.60099	−	4.07926i	0.107939	−	0.275024i
$221$	1.29450	−	3.29832i	0.0870772	−	0.221869i
$222$	13.5113	+	4.16768i	0.906819	+	0.279717i
$223$	−2.86825	−	12.5666i	−0.192072	−	0.841523i	−0.975493	−	0.220031i	$-0.929384\pi$
$223$	−2.86825	−	12.5666i	−0.192072	−	0.841523i	0.783421	−	0.621492i	$-0.213473\pi$
$224$	−2.33783	+	1.23876i	−0.156203	+	0.0827682i
$225$	0.00579219	−	0.0253772i	0.000386146	−	0.00169182i
$226$	0.740647	−	1.28284i	0.0492671	−	0.0853331i
$227$	−9.69710	−	16.7959i	−0.643619	−	1.11478i	−0.984619	−	0.174717i	$-0.944099\pi$
$227$	−9.69710	−	16.7959i	−0.643619	−	1.11478i	0.341000	−	0.940063i	$-0.389234\pi$
$228$	−11.8106	+	3.64308i	−0.782175	+	0.241269i
$229$	1.89842	−	25.3327i	0.125451	−	1.67403i	−0.479325	−	0.877637i	$-0.659119\pi$
$229$	1.89842	−	25.3327i	0.125451	−	1.67403i	0.604776	−	0.796395i	$-0.293262\pi$
$230$	−5.40379	−	6.77613i	−0.356315	−	0.446805i
$231$	0.971852	+	8.54383i	0.0639432	+	0.562143i
$232$	4.48156	−	5.61970i	0.294229	−	0.368952i
$233$	0.0751424	+	0.0697220i	0.00492274	+	0.00456764i	0.682630	−	0.730764i	$-0.260836\pi$
$233$	0.0751424	+	0.0697220i	0.00492274	+	0.00456764i	−0.677708	+	0.735332i	$0.737026\pi$
$234$	0.175954	+	0.0265208i	0.0115025	+	0.00173372i
$235$	22.6880	+	15.4684i	1.48000	+	1.00905i
$236$	0.175098	−	0.0263917i	0.0113979	−	0.00171795i
$237$	12.9052	+	6.21482i	0.838283	+	0.403696i
$238$	−6.41468	−	5.50842i	−0.415802	−	0.357058i
$239$	−10.8095	+	5.20556i	−0.699206	+	0.336720i	−0.749490	−	0.662015i	$-0.769701\pi$
$239$	−10.8095	+	5.20556i	−0.699206	+	0.336720i	0.0502848	+	0.998735i	$0.483987\pi$
$240$	3.16333	−	2.15672i	0.204192	−	0.139216i
$241$	7.12709	−	6.61297i	0.459096	−	0.425979i	−0.416417	−	0.909174i	$-0.636714\pi$
$241$	7.12709	−	6.61297i	0.459096	−	0.425979i	0.875513	+	0.483195i	$0.160524\pi$
$242$	−0.544033	−	7.25961i	−0.0349717	−	0.466665i
$243$	0.608676	+	1.55088i	0.0390466	+	0.0994891i
$244$	6.42435			0.411277
$245$	8.93128	−	13.1598i	0.570598	−	0.840747i
$246$	8.49173			0.541413
$247$	−2.97105	−	7.57012i	−0.189044	−	0.481675i
$248$	0.323217	+	4.31303i	0.0205243	+	0.273878i
$249$	1.33099	−	1.23498i	0.0843480	−	0.0782635i
$250$	−9.08179	+	6.19186i	−0.574383	+	0.391608i
$251$	9.08608	−	4.37562i	0.573508	−	0.276187i	−0.124567	−	0.992211i	$-0.539754\pi$
$251$	9.08608	−	4.37562i	0.573508	−	0.276187i	0.698075	+	0.716024i	$0.254040\pi$
$252$	0.198012	−	0.375623i	0.0124736	−	0.0236620i
$253$	6.62880	+	3.19226i	0.416749	+	0.200696i
$254$	13.9550	−	2.10337i	0.875612	−	0.131977i
$255$	10.1093	+	6.89239i	0.633068	+	0.431618i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	0.410213	+	0.380622i	0.0255884	+	0.0237425i	0.692863	−	0.721069i	$-0.256349\pi$
$257$	0.410213	+	0.380622i	0.0255884	+	0.0237425i	−0.667275	+	0.744811i	$0.732539\pi$
$258$	0.948339	−	1.18918i	0.0590410	−	0.0740351i
$259$	18.8101	+	11.7913i	1.16881	+	0.732678i
$260$	1.57063	+	1.96950i	0.0974060	+	0.122143i
$261$	−0.0862078	+	1.15036i	−0.00533613	+	0.0712057i
$262$	−9.53193	+	2.94021i	−0.588885	+	0.181647i
$263$	−1.07627	−	1.86415i	−0.0663655	−	0.114948i	0.830933	−	0.556372i	$-0.187807\pi$
$263$	−1.07627	−	1.86415i	−0.0663655	−	0.114948i	−0.897299	+	0.441423i	$0.854474\pi$
$264$	−1.62504	+	2.81466i	−0.100015	+	0.173230i
$265$	−7.16272	+	31.3819i	−0.440003	+	1.92778i
$266$	−19.3916	+	0.746214i	−1.18898	+	0.0457533i
$267$	1.57973	+	6.92126i	0.0966781	+	0.423574i
$268$	−13.8884	−	4.28400i	−0.848368	−	0.261687i
$269$	−2.82460	+	7.19697i	−0.172219	+	0.438807i	−0.990758	−	0.135645i	$-0.956689\pi$
$269$	−2.82460	+	7.19697i	−0.172219	+	0.438807i	0.818539	+	0.574452i	$0.194785\pi$
$270$	−4.42071	+	11.2638i	−0.269036	+	0.685491i
$271$	−4.85667	−	1.49809i	−0.295022	−	0.0910022i	0.143711	−	0.989620i	$-0.454096\pi$
$271$	−4.85667	−	1.49809i	−0.295022	−	0.0910022i	−0.438733	+	0.898617i	$0.644573\pi$
$272$	−0.711127	−	3.11565i	−0.0431184	−	0.188914i
$273$	−4.53273	−	1.97188i	−0.274333	−	0.119344i
$274$	−1.42606	+	6.24798i	−0.0861515	+	0.377454i
$275$	−0.156410	+	0.270910i	−0.00943188	+	0.0163365i
$276$	3.21398	+	5.56678i	0.193459	+	0.335081i
$277$	−25.8342	+	7.96880i	−1.55223	+	0.478799i	−0.948069	−	0.318066i	$-0.896967\pi$
$277$	−25.8342	+	7.96880i	−1.55223	+	0.478799i	−0.604158	+	0.796864i	$0.706491\pi$
$278$	−0.0438376	+	0.584972i	−0.00262920	+	0.0350843i
$279$	−0.432792	−	0.542704i	−0.0259106	−	0.0324908i
$280$	5.67182	−	1.99142i	0.338956	−	0.119010i
$281$	−5.78493	+	7.25407i	−0.345100	+	0.432742i	−0.923845	−	0.382767i	$-0.874971\pi$
$281$	−5.78493	+	7.25407i	−0.345100	+	0.432742i	0.578745	+	0.815509i	$0.303543\pi$
$282$	−14.9290	−	13.8521i	−0.889007	−	0.824878i
$283$	−10.3769	−	1.56407i	−0.616845	−	0.0929744i	−0.166815	−	0.985988i	$-0.553348\pi$
$283$	−10.3769	−	1.56407i	−0.616845	−	0.0929744i	−0.450029	+	0.893014i	$0.648587\pi$
$284$	8.22539	+	5.60798i	0.488087	+	0.332772i
$285$	27.7681	−	4.18537i	1.64484	−	0.247920i
$286$	−1.92668	−	0.927840i	−0.113927	−	0.0548643i
$287$	12.8822	+	3.43711i	0.760413	+	0.202886i
$288$	0.144597	−	0.0696344i	0.00852048	−	0.00410325i
$289$	−5.60771	+	3.82327i	−0.329865	+	0.224898i
$290$	−11.9716	+	11.1080i	−0.702996	+	0.652285i
$291$	−0.708587	−	9.45544i	−0.0415381	−	0.554288i
$292$	1.35888	+	3.46236i	0.0795222	+	0.202619i
$293$	11.0381			0.644853			0.322427	−	0.946594i	$-0.395501\pi$
$293$	11.0381			0.644853			0.322427	+	0.946594i	$0.395501\pi$
$294$	−8.00465	+	8.66381i	−0.466841	+	0.505284i
$295$	−0.402323			−0.0234242
$296$	3.06556	+	7.81092i	0.178182	+	0.454001i
$297$	−0.767618	−	10.2432i	−0.0445417	−	0.594368i
$298$	−0.793163	+	0.735947i	−0.0459467	+	0.0426323i
$299$	−3.49449	+	2.38250i	−0.202092	+	0.137784i
$300$	−0.246236	+	0.118581i	−0.0142165	+	0.00684629i
$301$	1.91999	−	1.42017i	0.110667	−	0.0818574i
$302$	4.31600	+	2.07848i	0.248358	+	0.119603i
$303$	−12.2205	+	1.84195i	−0.702052	+	0.105817i
$304$	−6.06026	−	4.13182i	−0.347580	−	0.236976i
$305$	−14.4334	−	2.17548i	−0.826453	−	0.124568i
$306$	0.375977	+	0.348856i	0.0214932	+	0.0199428i
$307$	−20.7179	+	25.9794i	−1.18243	+	1.48272i	−0.342937	+	0.939358i	$0.611422\pi$
$307$	−20.7179	+	25.9794i	−1.18243	+	1.48272i	−0.839496	+	0.543366i	$0.817150\pi$
$308$	−3.60450	+	3.61217i	−0.205386	+	0.205823i
$309$	−2.29663	−	2.87988i	−0.130651	−	0.163831i
$310$	0.734364	−	9.79941i	0.0417091	−	0.556569i
$311$	20.8514	−	6.43179i	1.18237	−	0.364713i	0.359612	−	0.933102i	$-0.382909\pi$
$311$	20.8514	−	6.43179i	1.18237	−	0.364713i	0.822760	+	0.568389i	$0.192433\pi$
$312$	−0.934153	−	1.61800i	−0.0528860	−	0.0916012i
$313$	16.1291	−	27.9365i	0.911672	−	1.57906i	0.0999700	−	0.994990i	$-0.468125\pi$
$313$	16.1291	−	27.9365i	0.911672	−	1.57906i	0.811702	−	0.584072i	$-0.198541\pi$
$314$	−4.10248	+	17.9741i	−0.231516	+	1.01434i
$315$	−0.572066	+	0.776847i	−0.0322322	+	0.0437704i
$316$	1.89149	+	8.28716i	0.106405	+	0.466189i
$317$	−10.3852	−	3.20341i	−0.583292	−	0.179922i	−0.0109545	−	0.999940i	$-0.503487\pi$
$317$	−10.3852	−	3.20341i	−0.583292	−	0.179922i	−0.572337	+	0.820018i	$0.693963\pi$
$318$	8.72189	−	22.2230i	0.489099	−	1.24620i
$319$	5.06491	−	12.9052i	0.283581	−	0.722552i
$320$	2.17110	+	0.669697i	0.121368	+	0.0374372i
$321$	6.03640	+	26.4472i	0.336919	+	1.47614i
$322$	2.62250	+	9.74587i	0.146146	+	0.543116i
$323$	5.21594	−	22.8525i	0.290223	−	1.27155i
$324$	4.24638	−	7.35495i	0.235910	−	0.408609i
$325$	−0.0899119	−	0.155732i	−0.00498742	−	0.00863846i
$326$	−18.6807	+	5.76224i	−1.03463	+	0.319141i
$327$	−1.95634	+	26.1056i	−0.108186	+	1.44364i
$328$	3.14198	+	3.93992i	0.173487	+	0.217546i
$329$	−17.0410	−	27.0567i	−0.939498	−	1.49168i
$330$	4.60406	−	5.77331i	0.253445	−	0.317810i
$331$	3.37345	+	3.13010i	0.185421	+	0.172046i	0.767422	−	0.641143i	$-0.221539\pi$
$331$	3.37345	+	3.13010i	0.185421	+	0.172046i	−0.582000	+	0.813189i	$0.697730\pi$
$332$	1.06547	+	0.160593i	0.0584751	+	0.00881371i
$333$	−1.11267	−	0.758608i	−0.0609742	−	0.0415715i
$334$	18.4827	−	2.78582i	1.01133	−	0.152433i
$335$	29.7519	+	14.3278i	1.62552	+	0.782809i
$336$	−4.37971	+	0.833506i	−0.238933	+	0.0454715i
$337$	31.2064	−	15.0282i	1.69992	−	0.818639i	0.706041	−	0.708171i	$-0.250479\pi$
$337$	31.2064	−	15.0282i	1.69992	−	0.818639i	0.993880	−	0.110468i	$-0.0352350\pi$
$338$	−9.72542	+	6.63068i	−0.528993	+	0.360661i
$339$	1.82977	−	1.69778i	0.0993797	−	0.0922109i
$340$	0.542611	+	7.24064i	0.0294272	+	0.392679i
$341$	3.04769	+	7.76539i	0.165042	+	0.420519i
$342$	1.17716			0.0636537
$343$	−15.6501	+	9.90330i	−0.845024	+	0.534728i
$344$	0.902636			0.0486669
$345$	−5.33567	−	13.5951i	−0.287263	−	0.731934i
$346$	0.770397	+	10.2802i	0.0414168	+	0.552669i
$347$	−16.5868	+	15.3903i	−0.890427	+	0.826196i	−0.985570	−	0.169268i	$-0.945860\pi$
$347$	−16.5868	+	15.3903i	−0.890427	+	0.826196i	0.0951427	+	0.995464i	$0.469669\pi$
$348$	10.0075	−	6.82303i	0.536460	−	0.365753i
$349$	6.35692	−	3.06133i	0.340278	−	0.163869i	−0.255938	−	0.966693i	$-0.582384\pi$
$349$	6.35692	−	3.06133i	0.340278	−	0.163869i	0.596216	+	0.802824i	$0.296670\pi$
$350$	−0.421545	+	0.0802247i	−0.0225326	+	0.00428819i
$351$	5.32001	+	2.56198i	0.283961	+	0.136748i
$352$	−1.90720	+	0.287464i	−0.101654	+	0.0153219i
$353$	26.5246	+	18.0842i	1.41176	+	0.962523i	0.998655	+	0.0518407i	$0.0165088\pi$
$353$	26.5246	+	18.0842i	1.41176	+	0.962523i	0.413107	+	0.910683i	$0.364444\pi$
$354$	0.295054	+	0.0444722i	0.0156819	+	0.00236367i
$355$	−16.5807	−	15.3846i	−0.880012	−	0.816532i
$356$	−2.62676	+	3.29385i	−0.139218	+	0.174574i
$357$	−7.59308	−	12.0559i	−0.401868	−	0.638064i
$358$	0.0903137	+	0.113250i	0.00477323	+	0.00598544i
$359$	−0.0931911	+	1.24355i	−0.00491844	+	0.0656320i	−0.999123	−	0.0418736i	$-0.986667\pi$
$359$	−0.0931911	+	1.24355i	−0.00491844	+	0.0656320i	0.994204	+	0.107506i	$0.0342864\pi$
$360$	−0.348443	+	0.107480i	−0.0183645	+	0.00566471i
$361$	−17.3994	−	30.1366i	−0.915755	−	1.58613i
$362$	8.09548	−	14.0218i	0.425489	−	0.736968i
$363$	2.72974	−	11.9598i	0.143274	−	0.627726i
$364$	−0.762237	−	2.83266i	−0.0399521	−	0.148472i
$365$	−1.88048	−	8.23893i	−0.0984289	−	0.431245i
$366$	10.3446	+	3.19089i	0.540722	+	0.166791i
$367$	−8.02652	+	20.4512i	−0.418981	+	1.06755i	0.553145	+	0.833085i	$0.313428\pi$
$367$	−8.02652	+	20.4512i	−0.418981	+	1.06755i	−0.972126	+	0.234461i	$0.924668\pi$
$368$	−1.39364	+	3.55093i	−0.0726485	+	0.185105i
$369$	−0.772839	−	0.238389i	−0.0402324	−	0.0124100i
$370$	−4.24228	−	18.5866i	−0.220546	−	0.966274i
$371$	22.2264	−	30.1827i	1.15394	−	1.56701i
$372$	−1.62178	+	7.10548i	−0.0840853	+	0.368402i
$373$	−1.89828	+	3.28792i	−0.0982894	+	0.170242i	−0.910977	−	0.412458i	$-0.864670\pi$
$373$	−1.89828	+	3.28792i	−0.0982894	+	0.170242i	0.812687	+	0.582700i	$0.198004\pi$
$374$	−3.08191	−	5.33802i	−0.159362	−	0.276022i
$375$	−17.6991	+	5.45945i	−0.913978	+	0.281925i
$376$	0.903169	−	12.0520i	0.0465774	−	0.621532i
$377$	4.96885	+	6.23074i	0.255909	+	0.320899i
$378$	9.95287	−	9.97404i	0.511920	−	0.513009i
$379$	−5.09703	+	6.39148i	−0.261817	+	0.328308i	−0.895313	−	0.445438i	$-0.853048\pi$
$379$	−5.09703	+	6.39148i	−0.261817	+	0.328308i	0.633496	+	0.773746i	$0.281619\pi$
$380$	12.2162	+	11.3350i	0.626680	+	0.581474i
$381$	23.5153	+	3.54436i	1.20472	+	0.181583i
$382$	−6.71145	−	4.57579i	−0.343388	−	0.234118i
$383$	−11.8146	+	1.78077i	−0.603700	+	0.0909931i	−0.443778	−	0.896137i	$-0.646362\pi$
$383$	−11.8146	+	1.78077i	−0.603700	+	0.0909931i	−0.159922	+	0.987130i	$0.551124\pi$
$384$	−1.51821	−	0.731131i	−0.0774758	−	0.0373104i
$385$	9.32132	−	6.89476i	0.475058	−	0.351389i
$386$	11.6348	−	5.60301i	0.592194	−	0.285186i
$387$	−0.119693	+	0.0816053i	−0.00608434	+	0.00414823i
$388$	4.12488	−	3.82733i	0.209409	−	0.194303i
$389$	1.43250	+	19.1154i	0.0726308	+	0.969191i	0.907856	+	0.419283i	$0.137718\pi$
$389$	1.43250	+	19.1154i	0.0726308	+	0.969191i	−0.835225	+	0.549908i	$0.814663\pi$
$390$	1.55083	+	3.95144i	0.0785292	+	0.200089i
$391$	−12.1907			−0.616509
$392$	−6.98152	−	0.508277i	−0.352620	−	0.0256719i
$393$	−16.8089			−0.847896
$394$	−4.35847	−	11.1052i	−0.219577	−	0.559473i
$395$	−1.44326	−	19.2590i	−0.0726185	−	0.969027i
$396$	0.226913	−	0.210544i	0.0114028	−	0.0105802i
$397$	−5.34111	+	3.64151i	−0.268063	+	0.182762i	−0.689890	−	0.723914i	$-0.742341\pi$
$397$	−5.34111	+	3.64151i	−0.268063	+	0.182762i	0.421827	+	0.906676i	$0.361389\pi$
$398$	−5.86587	+	2.82486i	−0.294030	+	0.141597i
$399$	−31.5954	−	8.42999i	−1.58175	−	0.422027i
$400$	−0.146127	−	0.0703711i	−0.00730636	−	0.00351856i
$401$	6.49756	−	0.979349i	0.324473	−	0.0489064i	0.0152137	−	0.999884i	$-0.495157\pi$
$401$	6.49756	−	0.979349i	0.324473	−	0.0489064i	0.309259	+	0.950978i	$0.399919\pi$
$402$	−20.2355	−	13.7964i	−1.00926	−	0.688100i
$403$	−4.74184	−	0.714718i	−0.236208	−	0.0356026i
$404$	−5.37628	−	4.98845i	−0.267480	−	0.248185i
$405$	−12.0308	+	15.0862i	−0.597817	+	0.749639i
$406$	17.9434	−	6.30009i	0.890518	−	0.312668i
$407$	10.0905	+	12.6531i	0.500170	+	0.627193i
$408$	0.402433	−	5.37009i	0.0199234	−	0.265859i
$409$	5.43258	−	1.67573i	0.268624	−	0.0828594i	−0.157517	−	0.987516i	$-0.550349\pi$
$409$	5.43258	−	1.67573i	0.268624	−	0.0828594i	0.426141	+	0.904657i	$0.359873\pi$
$410$	−5.72481	−	9.91567i	−0.282728	−	0.489700i
$411$	−5.39957	+	9.35232i	−0.266341	+	0.461316i
$412$	0.486419	−	2.13114i	0.0239642	−	0.104994i
$413$	0.429606	+	0.186892i	0.0211395	+	0.00919635i
$414$	−0.136230	−	0.596864i	−0.00669535	−	0.0293343i
$415$	−2.33937	−	0.721600i	−0.114835	−	0.0354220i
$416$	0.405065	−	1.03209i	0.0198599	−	0.0506023i
$417$	−0.361136	+	0.920160i	−0.0176849	+	0.0450604i
$418$	−13.5183	−	4.16985i	−0.661203	−	0.203954i
$419$	−3.34476	−	14.6544i	−0.163402	−	0.715912i	−0.988537	−	0.150977i	$-0.951758\pi$
$419$	−3.34476	−	14.6544i	−0.163402	−	0.715912i	0.825135	−	0.564936i	$-0.191099\pi$
$420$	10.1220	−	0.389508i	0.493903	−	0.0190060i
$421$	2.20525	−	9.66183i	0.107477	−	0.470889i	−0.892332	−	0.451379i	$-0.850932\pi$
$421$	2.20525	−	9.66183i	0.107477	−	0.470889i	0.999810	−	0.0195099i	$-0.00621060\pi$
$422$	−0.283729	+	0.491433i	−0.0138117	+	0.0239226i
$423$	0.969827	+	1.67979i	0.0471546	+	0.0816742i
$424$	13.5380	−	4.17592i	0.657463	−	0.202800i
$425$	0.0387340	−	0.516870i	0.00187888	−	0.0250719i
$426$	10.4593	+	13.1155i	0.506754	+	0.635449i
$427$	14.4016	+	9.02777i	0.696940	+	0.436885i
$428$	−10.0372	+	12.5863i	−0.485169	+	0.608382i
$429$	−2.64153	−	2.45098i	−0.127534	−	0.118335i
$430$	−2.02792	−	0.305660i	−0.0977951	−	0.0147402i
$431$	18.3030	+	12.4788i	0.881626	+	0.601082i	0.917263	−	0.398283i	$-0.130394\pi$
$431$	18.3030	+	12.4788i	0.881626	+	0.601082i	−0.0356371	+	0.999365i	$0.511346\pi$
$432$	5.26621	−	0.793753i	0.253371	−	0.0381895i
$433$	−14.3914	−	6.93051i	−0.691605	−	0.333059i	0.0548509	−	0.998495i	$-0.482532\pi$
$433$	−14.3914	−	6.93051i	−0.691605	−	0.333059i	−0.746456	+	0.665435i	$0.768246\pi$
$434$	−5.33630	+	10.1228i	−0.256151	+	0.485910i
$435$	−24.7941	+	11.9402i	−1.18879	+	0.572489i
$436$	−12.8361	+	8.75150i	−0.614738	+	0.419121i
$437$	−20.5103	+	19.0308i	−0.981142	+	0.910367i
$438$	0.468380	+	6.25010i	0.0223801	+	0.298641i
$439$	−4.26042	−	10.8554i	−0.203339	−	0.518099i	0.792433	−	0.609959i	$-0.208814\pi$
$439$	−4.26042	−	10.8554i	−0.203339	−	0.518099i	−0.995772	+	0.0918599i	$0.970719\pi$
$440$	4.38218			0.208912
$441$	0.971729	−	0.563785i	0.0462728	−	0.0268469i
$442$	3.54325			0.168535
$443$	1.39670	+	3.55874i	0.0663593	+	0.169081i	0.960207	−	0.279291i	$-0.0900994\pi$
$443$	1.39670	+	3.55874i	0.0663593	+	0.169081i	−0.893847	+	0.448372i	$0.852004\pi$
$444$	1.05664	+	14.0999i	0.0501461	+	0.669153i
$445$	7.01686	−	6.51070i	0.332631	−	0.308637i
$446$	10.6500	−	7.26108i	0.504294	−	0.343822i
$447$	−1.64270	+	0.791084i	−0.0776972	+	0.0374170i
$448$	−2.00724	−	1.72366i	−0.0948330	−	0.0814352i
$449$	36.5328	+	17.5933i	1.72409	+	0.830277i	0.988199	+	0.153176i	$0.0489501\pi$
$449$	36.5328	+	17.5933i	1.72409	+	0.830277i	0.735890	+	0.677102i	$0.236764\pi$
$450$	0.0257391	−	0.00387955i	0.00121335	−	0.000182884i
$451$	8.03070	+	5.47524i	0.378151	+	0.257819i
$452$	1.46475	+	0.220775i	0.0688960	+	0.0103844i
$453$	5.91736	+	5.49050i	0.278022	+	0.257966i
$454$	12.0921	−	15.1630i	0.567509	−	0.711634i
$455$	0.753266	+	6.62217i	0.0353136	+	0.310452i
$456$	−7.70614	−	9.66319i	−0.360873	−	0.452520i
$457$	2.27147	−	30.3107i	0.106255	−	1.41787i	−0.648174	−	0.761493i	$-0.724467\pi$
$457$	2.27147	−	30.3107i	0.106255	−	1.41787i	0.754429	−	0.656382i	$-0.227914\pi$
$458$	24.2751	−	7.48789i	1.13430	−	0.349886i
$459$	8.50986	+	14.7395i	0.397206	+	0.687981i
$460$	4.33350	−	7.50584i	0.202051	−	0.349962i
$461$	1.01907	−	4.46484i	0.0474629	−	0.207948i	−0.945636	−	0.325226i	$-0.894560\pi$
$461$	1.01907	−	4.46484i	0.0474629	−	0.207948i	0.993099	+	0.117278i	$0.0374167\pi$
$462$	−7.59817	+	4.02608i	−0.353499	+	0.187310i
$463$	−1.20419	−	5.27588i	−0.0559632	−	0.245191i	0.939207	−	0.343350i	$-0.111562\pi$
$463$	−1.20419	−	5.27588i	−0.0559632	−	0.245191i	−0.995171	+	0.0981591i	$0.968705\pi$
$464$	6.86853	+	2.11866i	0.318864	+	0.0983564i
$465$	6.04973	−	15.4145i	0.280550	−	0.714829i
$466$	−0.0374497	+	0.0954204i	−0.00173483	+	0.00442026i
$467$	−9.11899	−	2.81284i	−0.421977	−	0.130163i	0.0764922	−	0.997070i	$-0.475628\pi$
$467$	−9.11899	−	2.81284i	−0.421977	−	0.130163i	−0.498469	+	0.866908i	$0.666104\pi$
$468$	0.0395957	+	0.173480i	0.00183031	+	0.00801912i
$469$	−25.1137	−	29.1201i	−1.15964	−	1.34464i
$470$	−6.11028	+	26.7709i	−0.281846	+	1.23485i
$471$	−15.5334	+	26.9047i	−0.715742	+	1.23970i
$472$	0.0885377	+	0.153352i	0.00407528	+	0.00705858i
$473$	1.66360	−	0.513154i	0.0764926	−	0.0235948i
$474$	−1.07041	+	14.2836i	−0.0491656	+	0.656069i
$475$	−0.741714	−	0.930079i	−0.0340322	−	0.0426750i
$476$	2.78410	−	7.98371i	0.127609	−	0.365933i
$477$	−1.41765	+	1.77768i	−0.0649099	+	0.0813945i
$478$	−8.79486	−	8.16043i	−0.402267	−	0.373250i
$479$	16.1241	+	2.43031i	0.736727	+	0.111044i	0.506678	−	0.862135i	$-0.330873\pi$
$479$	16.1241	+	2.43031i	0.736727	+	0.111044i	0.230049	+	0.973179i	$0.426111\pi$
$480$	3.16333	+	2.15672i	0.144385	+	0.0984404i
$481$	−9.19941	+	1.38659i	−0.419457	+	0.0632230i
$482$	8.75966	+	4.21843i	0.398991	+	0.192144i
$483$	−0.617848	+	16.9956i	−0.0281131	+	0.773325i
$484$	6.55902	−	3.15866i	0.298137	−	0.143575i
$485$	−10.5633	+	7.20192i	−0.479654	+	0.327022i
$486$	−1.22130	+	1.13320i	−0.0553993	+	0.0514030i
$487$	0.906357	+	12.0945i	0.0410710	+	0.548054i	0.979350	+	0.202174i	$0.0648006\pi$
$487$	0.906357	+	12.0945i	0.0410710	+	0.548054i	−0.938279	+	0.345880i	$0.887580\pi$
$488$	2.34708	+	5.98026i	0.106247	+	0.270713i
$489$	−32.9421			−1.48969
$490$	15.5130	+	3.50609i	0.700808	+	0.158389i
$491$	−6.66596			−0.300831			−0.150415	−	0.988623i	$-0.548061\pi$
$491$	−6.66596			−0.300831			−0.150415	+	0.988623i	$0.548061\pi$
$492$	3.10238	+	7.90473i	0.139866	+	0.356373i
$493$	1.71661	+	22.9066i	0.0773122	+	1.03166i
$494$	5.96138	−	5.53135i	0.268215	−	0.248867i
$495$	−0.581094	+	0.396183i	−0.0261183	+	0.0178071i
$496$	−3.89681	+	1.87660i	−0.174972	+	0.0842620i
$497$	10.5584	+	24.1302i	0.473610	+	1.08239i
$498$	1.63587	+	0.787795i	0.0733052	+	0.0353019i
$499$	−5.02018	+	0.756671i	−0.224734	+	0.0338732i	−0.260444	−	0.965489i	$-0.583869\pi$
$499$	−5.02018	+	0.756671i	−0.224734	+	0.0338732i	0.0357097	+	0.999362i	$0.488631\pi$
$500$	−9.08179	−	6.19186i	−0.406150	−	0.276908i
$501$	31.1449	+	4.69435i	1.39145	+	0.209728i
$502$	7.39267	+	6.85940i	0.329951	+	0.306150i
$503$	4.09648	−	5.13682i	0.182653	−	0.229039i	−0.682072	−	0.731285i	$-0.738921\pi$
$503$	4.09648	−	5.13682i	0.182653	−	0.229039i	0.864725	+	0.502245i	$0.167493\pi$
$504$	0.422000	+	0.0470940i	0.0187974	+	0.00209773i
$505$	10.3895	+	13.0280i	0.462325	+	0.579737i
$506$	−0.549820	+	7.33684i	−0.0244425	+	0.326163i
$507$	−18.9534	+	5.84636i	−0.841752	+	0.259646i
$508$	7.05629	+	12.2219i	0.313072	+	0.542257i
$509$	10.8665	−	18.8214i	0.481651	−	0.834244i	−0.518127	−	0.855304i	$-0.673371\pi$
$509$	10.8665	−	18.8214i	0.481651	−	0.834244i	0.999778	+	0.0210593i	$0.00670386\pi$
$510$	−2.72261	+	11.9285i	−0.120559	+	0.528204i
$511$	−1.81924	+	9.67117i	−0.0804786	+	0.427828i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	37.3272	+	11.5139i	1.64804	+	0.508352i
$514$	−0.204443	+	0.520913i	−0.00901761	+	0.0229765i
$515$	−1.81449	+	4.62325i	−0.0799561	+	0.203725i
$516$	1.45344	+	0.448328i	0.0639842	+	0.0197365i
$517$	−5.18702	−	22.7258i	−0.228125	−	0.999480i
$518$	−4.10413	+	21.8177i	−0.180325	+	0.958616i
$519$	−3.86555	+	16.9361i	−0.169679	+	0.743412i
$520$	−1.25954	+	2.18159i	−0.0552346	+	0.0956692i
$521$	−15.9827	−	27.6828i	−0.700213	−	1.21280i	−0.968392	−	0.249435i	$-0.919755\pi$
$521$	−15.9827	−	27.6828i	−0.700213	−	1.21280i	0.268179	−	0.963369i	$-0.413578\pi$
$522$	−1.10234	+	0.340026i	−0.0482480	+	0.0148825i
$523$	0.103192	−	1.37700i	0.00451227	−	0.0602120i	−0.994493	−	0.104802i	$-0.966579\pi$
$523$	0.103192	−	1.37700i	0.00451227	−	0.0602120i	0.999005	+	0.0445900i	$0.0141982\pi$
$524$	−6.21937	−	7.79885i	−0.271695	−	0.340694i
$525$	−0.718628	−	0.0801968i	−0.0313635	−	0.00350008i
$526$	1.34208	−	1.68292i	0.0585177	−	0.0733788i
$527$	−10.1323	−	9.40144i	−0.441372	−	0.409533i
$528$	−3.21379	−	0.484400i	−0.139862	−	0.0210808i
$529$	−6.98059	−	4.75928i	−0.303504	−	0.206925i
$530$	−31.8295	+	4.79752i	−1.38258	+	0.208391i
$531$	−0.0256046	−	0.0123305i	−0.00111115	−	0.000535100i
$532$	−7.77918	−	17.7785i	−0.337270	−	0.770796i
$533$	−5.03397	+	2.42423i	−0.218045	+	0.105005i
$534$	−5.86568	+	3.99915i	−0.253833	+	0.173060i
$535$	26.8125	−	24.8783i	1.15920	−	1.07558i
$536$	−1.08613	−	14.4934i	−0.0469138	−	0.626022i
$537$	0.0891753	+	0.227215i	0.00384820	+	0.00980505i
$538$	−7.73141			−0.333325
$539$	−13.1563	+	3.03226i	−0.566680	+	0.130608i
$540$	−12.1002			−0.520710
$541$	7.88332	+	20.0864i	0.338931	+	0.863581i	0.994137	+	0.108131i	$0.0344865\pi$
$541$	7.88332	+	20.0864i	0.338931	+	0.863581i	−0.655206	+	0.755450i	$0.727418\pi$
$542$	−0.379814	−	5.06826i	−0.0163144	−	0.217700i
$543$	19.9999	−	18.5572i	0.858280	−	0.796367i
$544$	2.64047	−	1.80024i	0.113209	−	0.0771848i
$545$	31.8020	−	15.3150i	1.36225	−	0.656024i
$546$	0.179579	−	4.93981i	0.00768528	−	0.211404i
$547$	−15.6887	−	7.55529i	−0.670801	−	0.323041i	0.0672982	−	0.997733i	$-0.478562\pi$
$547$	−15.6887	−	7.55529i	−0.670801	−	0.323041i	−0.738099	+	0.674692i	$0.764276\pi$
$548$	−6.33708	+	0.955161i	−0.270707	+	0.0408025i
$549$	−0.851893	−	0.580811i	−0.0363579	−	0.0247884i
$550$	−0.309326	−	0.0466234i	−0.0131897	−	0.00198803i
$551$	38.6474	+	35.8596i	1.64644	+	1.52767i
$552$	−4.00777	+	5.02559i	−0.170582	+	0.213903i
$553$	−7.40530	+	21.2355i	−0.314905	+	0.903024i
$554$	−16.8562	−	21.1371i	−0.716153	−	0.898027i
$555$	2.40074	−	32.0357i	0.101906	−	1.35984i
$556$	−0.560551	+	0.172907i	−0.0237726	+	0.00733289i
$557$	−5.92562	−	10.2635i	−0.251077	−	0.434877i	0.712746	−	0.701422i	$-0.247451\pi$
$557$	−5.92562	−	10.2635i	−0.251077	−	0.434877i	−0.963822	+	0.266545i	$0.914118\pi$
$558$	0.347072	−	0.601147i	0.0146927	−	0.0254486i
$559$	−0.222695	+	0.975689i	−0.00941898	+	0.0412672i
$560$	3.92591	+	4.55220i	0.165900	+	0.192366i
$561$	−2.31122	−	10.1261i	−0.0975800	−	0.427526i
$562$	−8.86609	−	2.73483i	−0.373994	−	0.115362i
$563$	−1.48299	+	3.77860i	−0.0625007	+	0.159249i	−0.958712	−	0.284377i	$-0.908213\pi$
$563$	−1.48299	+	3.77860i	−0.0625007	+	0.159249i	0.896212	+	0.443627i	$0.146308\pi$
$564$	7.44035	−	18.9577i	0.313295	−	0.798264i
$565$	−3.21604	−	0.992018i	−0.135300	−	0.0417345i
$566$	−2.33517	−	10.2310i	−0.0981544	−	0.430043i
$567$	19.8547	−	10.5205i	0.833819	−	0.441820i
$568$	−2.21525	+	9.70563i	−0.0929496	+	0.407239i
$569$	−4.87452	+	8.44291i	−0.204350	+	0.353945i	−0.949926	−	0.312476i	$-0.898842\pi$
$569$	−4.87452	+	8.44291i	−0.204350	+	0.353945i	0.745575	+	0.666422i	$0.232175\pi$
$570$	14.0409	+	24.3195i	0.588108	+	1.01863i
$571$	38.5379	−	11.8874i	1.61276	−	0.497471i	0.648230	−	0.761445i	$-0.275509\pi$
$571$	38.5379	−	11.8874i	1.61276	−	0.497471i	0.964530	+	0.263974i	$0.0850333\pi$
$572$	0.159807	−	2.13247i	0.00668186	−	0.0891632i
$573$	−8.53419	−	10.7015i	−0.356521	−	0.447063i
$574$	1.50688	+	13.2474i	0.0628961	+	0.552937i
$575$	−0.385747	+	0.483711i	−0.0160868	+	0.0201721i
$576$	0.117648	+	0.109162i	0.00490201	+	0.00454840i
$577$	−36.3990	−	5.48626i	−1.51531	−	0.228396i	−0.661881	−	0.749609i	$-0.730242\pi$
$577$	−36.3990	−	5.48626i	−1.51531	−	0.228396i	−0.853427	+	0.521213i	$0.825480\pi$
$578$	−5.60771	−	3.82327i	−0.233250	−	0.159027i
$579$	21.5175	−	3.24324i	0.894236	−	0.134784i
$580$	−14.7139	−	7.08583i	−0.610960	−	0.294223i
$581$	2.16280	+	1.85725i	0.0897282	+	0.0770516i
$582$	8.54294	−	4.11406i	0.354116	−	0.170533i
$583$	22.5772	−	15.3928i	0.935050	−	0.637507i
$584$	−2.72657	+	2.52988i	−0.112826	+	0.104687i
$585$	−0.0302127	−	0.403160i	−0.00124914	−	0.0166686i
$586$	4.03268	+	10.2751i	0.166588	+	0.424460i
$587$	9.28397			0.383190			0.191595	−	0.981474i	$-0.438634\pi$
$587$	9.28397			0.383190			0.191595	+	0.981474i	$0.438634\pi$
$588$	−10.9893	−	4.28607i	−0.453193	−	0.176755i
$589$	−31.7238			−1.30716
$590$	−0.146985	−	0.374512i	−0.00605128	−	0.0154184i
$591$	−1.50229	−	20.0466i	−0.0617959	−	0.824609i
$592$	−6.15101	+	5.70730i	−0.252805	+	0.234569i
$593$	−12.9823	+	8.85116i	−0.533118	+	0.363474i	−0.799758	−	0.600323i	$-0.795039\pi$
$593$	−12.9823	+	8.85116i	−0.533118	+	0.363474i	0.266640	+	0.963796i	$0.414087\pi$
$594$	9.25464	−	4.45680i	0.379722	−	0.182865i
$595$	−8.95848	+	16.9940i	−0.367262	+	0.696684i
$596$	−0.974849	−	0.469463i	−0.0399314	−	0.0192299i
$597$	−10.8484	+	1.63514i	−0.443996	+	0.0669217i
$598$	−3.49449	−	2.38250i	−0.142900	−	0.0974278i
$599$	−6.85394	−	1.03306i	−0.280044	−	0.0422099i	0.00751833	−	0.999972i	$-0.497607\pi$
$599$	−6.85394	−	1.03306i	−0.280044	−	0.0422099i	−0.287563	+	0.957762i	$0.592845\pi$
$600$	−0.200344	−	0.185892i	−0.00817903	−	0.00758903i
$601$	15.5948	−	19.5553i	0.636125	−	0.797676i	−0.354387	−	0.935099i	$-0.615310\pi$
$601$	15.5948	−	19.5553i	0.636125	−	0.797676i	0.990512	+	0.137423i	$0.0438819\pi$
$602$	2.02345	+	1.26842i	0.0824698	+	0.0516971i
$603$	1.45435	+	1.82369i	0.0592256	+	0.0742665i
$604$	−0.357987	+	4.77700i	−0.0145663	+	0.194373i
$605$	−15.8056	+	4.87537i	−0.642588	+	0.198212i
$606$	−6.17929	−	10.7028i	−0.251016	−	0.434773i
$607$	−4.78543	+	8.28861i	−0.194235	+	0.336424i	−0.946649	−	0.322266i	$-0.895556\pi$
$607$	−4.78543	+	8.28861i	−0.194235	+	0.336424i	0.752415	+	0.658690i	$0.228889\pi$
$608$	1.63214	−	7.15086i	0.0661919	−	0.290006i
$609$	32.0221	−	1.23225i	1.29760	−	0.0499334i
$610$	−3.24801	−	14.2304i	−0.131508	−	0.576174i
$611$	12.8045	+	3.94967i	0.518016	+	0.159787i
$612$	−0.187381	+	0.477439i	−0.00757442	+	0.0192993i
$613$	−3.20996	+	8.17884i	−0.129649	+	0.330340i	−0.980928	−	0.194374i	$-0.937733\pi$
$613$	−3.20996	+	8.17884i	−0.129649	+	0.330340i	0.851278	+	0.524714i	$0.175828\pi$
$614$	−31.7527	−	9.79440i	−1.28143	−	0.395270i
$615$	−4.29323	−	18.8099i	−0.173120	−	0.758487i
$616$	−4.67935	−	2.03566i	−0.188536	−	0.0820192i
$617$	8.38479	−	36.7362i	0.337559	−	1.47894i	−0.466569	−	0.884485i	$-0.654510\pi$
$617$	8.38479	−	36.7362i	0.337559	−	1.47894i	0.804127	−	0.594457i	$-0.202633\pi$
$618$	1.84175	−	3.19001i	0.0740862	−	0.128321i
$619$	3.93631	+	6.81789i	0.158214	+	0.274034i	0.934225	−	0.356685i	$-0.116093\pi$
$619$	3.93631	+	6.81789i	0.158214	+	0.274034i	−0.776011	+	0.630719i	$0.782760\pi$
$620$	9.39031	−	2.89653i	0.377124	−	0.116327i
$621$	1.51818	−	20.2587i	0.0609225	−	0.812954i
$622$	13.6050	+	17.0602i	0.545513	+	0.684051i
$623$	−10.5171	+	3.69265i	−0.421360	+	0.147943i
$624$	1.16487	−	1.46070i	0.0466321	−	0.0584748i
$625$	18.9015	+	17.5380i	0.756059	+	0.701520i
$626$	31.8980	+	4.80784i	1.27490	+	0.192160i
$627$	−19.6964	−	13.4288i	−0.786598	−	0.536293i
$628$	−18.2305	+	2.74780i	−0.727475	+	0.109649i
$629$	−24.1600	−	11.6349i	−0.963324	−	0.463912i
$630$	−0.932146	−	0.248707i	−0.0371376	−	0.00990871i
$631$	5.85576	−	2.81999i	0.233114	−	0.112262i	−0.313681	−	0.949529i	$-0.601562\pi$
$631$	5.85576	−	2.81999i	0.233114	−	0.112262i	0.546795	+	0.837267i	$0.315848\pi$
$632$	−7.02326	+	4.78838i	−0.279370	+	0.190472i
$633$	−0.700955	+	0.650392i	−0.0278605	+	0.0258507i
$634$	−0.812171	−	10.8377i	−0.0322554	−	0.430419i
$635$	−11.7144	−	29.8479i	−0.464874	−	1.18448i
$636$	23.8733			0.946637
$637$	2.27187	−	7.42116i	0.0900146	−	0.294037i
$638$	13.8635			0.548862
$639$	−0.583714	−	1.48728i	−0.0230914	−	0.0588359i
$640$	0.169790	+	2.26569i	0.00671154	+	0.0895593i
$641$	−25.8816	+	24.0146i	−1.02226	+	0.948521i	−0.998688	−	0.0512009i	$-0.983695\pi$
$641$	−25.8816	+	24.0146i	−1.02226	+	0.948521i	−0.0235743	+	0.999722i	$0.507505\pi$
$642$	−22.4136	+	15.2814i	−0.884596	+	0.603107i
$643$	−7.11694	+	3.42734i	−0.280665	+	0.135161i	−0.568921	−	0.822392i	$-0.692639\pi$
$643$	−7.11694	+	3.42734i	−0.280665	+	0.135161i	0.288256	+	0.957553i	$0.406925\pi$
$644$	−8.11407	+	6.00178i	−0.319739	+	0.236503i
$645$	−3.11359	−	1.49942i	−0.122597	−	0.0590398i
$646$	23.1784	−	3.49359i	0.911943	−	0.137453i
$647$	−31.4683	−	21.4547i	−1.23715	−	0.843472i	−0.245119	−	0.969493i	$-0.578827\pi$
$647$	−31.4683	−	21.4547i	−1.23715	−	0.843472i	−0.992028	+	0.126021i	$0.959779\pi$
$648$	8.39791	+	1.26578i	0.329901	+	0.0497246i
$649$	0.250361	+	0.232301i	0.00982752	+	0.00911860i
$650$	0.112118	−	0.140592i	0.00439764	−	0.00551447i
$651$	−13.6205	+	13.6495i	−0.533829	+	0.534965i
$652$	−12.1888	−	15.2842i	−0.477349	−	0.598576i
$653$	−1.88659	+	25.1748i	−0.0738280	+	0.985166i	0.830137	+	0.557559i	$0.188262\pi$
$653$	−1.88659	+	25.1748i	−0.0738280	+	0.985166i	−0.903965	+	0.427606i	$0.859357\pi$
$654$	−25.0157	+	7.71632i	−0.978192	+	0.301732i
$655$	11.3319	+	19.6275i	0.442775	+	0.766909i
$656$	−2.51967	+	4.36420i	−0.0983768	+	0.170394i
$657$	0.132832	−	0.581975i	0.00518227	−	0.0227050i
$658$	18.9606	−	25.7479i	0.739160	−	1.00376i
$659$	−7.82891	−	34.3007i	−0.304971	−	1.33617i	−0.862521	−	0.506022i	$-0.831115\pi$
$659$	−7.82891	−	34.3007i	−0.304971	−	1.33617i	0.557550	−	0.830144i	$-0.311742\pi$
$660$	7.05628	+	2.17657i	0.274665	+	0.0847230i
$661$	−14.9213	+	38.0188i	−0.580370	+	1.47876i	0.275362	+	0.961341i	$0.411202\pi$
$661$	−14.9213	+	38.0188i	−0.580370	+	1.47876i	−0.855732	+	0.517419i	$0.826893\pi$
$662$	−1.68127	+	4.28381i	−0.0653445	+	0.166495i
$663$	5.70542	+	1.75989i	0.221580	+	0.0683485i
$664$	0.239767	+	1.05049i	0.00930476	+	0.0407668i
$665$	11.4569	+	42.5767i	0.444279	+	1.65105i
$666$	0.299663	−	1.31291i	0.0116117	−	0.0508742i
$667$	13.7095	−	23.7456i	0.530835	−	0.919432i
$668$	9.34575	+	16.1873i	0.361598	+	0.626306i
$669$	20.7554	−	6.40219i	0.802450	−	0.247523i
$670$	−2.46774	+	32.9298i	−0.0953373	+	1.27219i
$671$	7.72559	+	9.68759i	0.298243	+	0.373985i
$672$	−2.37598	−	3.77244i	−0.0916552	−	0.145525i
$673$	−3.70171	+	4.64180i	−0.142690	+	0.178928i	−0.848041	−	0.529930i	$-0.822218\pi$
$673$	−3.70171	+	4.64180i	−0.142690	+	0.178928i	0.705351	+	0.708858i	$0.250790\pi$
$674$	25.3903	+	23.5588i	0.978000	+	0.907451i
$675$	0.854121	+	0.128738i	0.0328751	+	0.00495513i
$676$	−9.72542	−	6.63068i	−0.374055	−	0.255026i
$677$	−1.84253	+	0.277717i	−0.0708142	+	0.0106735i	−0.184354	−	0.982860i	$-0.559019\pi$
$677$	−1.84253	+	0.277717i	−0.0708142	+	0.0106735i	0.113540	+	0.993533i	$0.463781\pi$
$678$	2.24891	+	1.08302i	0.0863690	+	0.0415931i
$679$	14.6251	−	2.78332i	0.561261	−	0.106814i
$680$	−6.54188	+	3.15041i	−0.250870	+	0.120813i
$681$	27.0022	−	18.4098i	1.03473	−	0.705464i
$682$	−6.11515	+	5.67403i	−0.234161	+	0.217270i
$683$	−1.59550	−	21.2904i	−0.0610500	−	0.814655i	−0.940745	−	0.339116i	$-0.889872\pi$
$683$	−1.59550	−	21.2904i	−0.0610500	−	0.814655i	0.879695	−	0.475539i	$-0.157747\pi$
$684$	0.430066	+	1.09579i	0.0164440	+	0.0418986i
$685$	14.5608			0.556338
$686$	−14.9363	−	10.9502i	−0.570272	−	0.418079i
$687$	42.8075			1.63321
$688$	0.329770	+	0.840240i	0.0125724	+	0.0320338i
$689$	1.17385	+	15.6639i	0.0447201	+	0.596748i
$690$	10.7059	−	9.93367i	0.407569	−	0.378168i
$691$	25.5642	−	17.4294i	0.972508	−	0.663044i	0.0308172	−	0.999525i	$-0.490189\pi$
$691$	25.5642	−	17.4294i	0.972508	−	0.663044i	0.941690	+	0.336481i	$0.109237\pi$
$692$	−9.28815	+	4.47294i	−0.353082	+	0.170035i
$693$	0.804540	−	0.153113i	0.0305619	−	0.00581627i
$694$	−20.3863	−	9.81752i	−0.773853	−	0.372668i
$695$	1.31792	−	0.198645i	0.0499917	−	0.00753503i
$696$	10.0075	+	6.82303i	0.379335	+	0.258626i
$697$	−15.9247	−	2.40027i	−0.603193	−	0.0909167i
$698$	5.17216	+	4.79906i	0.195769	+	0.181647i
$699$	−0.107696	+	0.135047i	−0.00407345	+	0.00510795i
$700$	−0.228687	−	0.363096i	−0.00864355	−	0.0137237i
$701$	10.1791	+	12.7642i	0.384459	+	0.482097i	0.935974	−	0.352068i	$-0.114521\pi$
$701$	10.1791	+	12.7642i	0.384459	+	0.482097i	−0.551515	+	0.834165i	$0.685950\pi$
$702$	−0.441264	+	5.88825i	−0.0166544	+	0.222238i
$703$	−58.8114	+	18.1409i	−2.21811	+	0.684197i
$704$	−0.964369	−	1.67034i	−0.0363460	−	0.0629532i
$705$	−23.1357	+	40.0722i	−0.871340	+	1.50920i
$706$	−7.14355	+	31.2979i	−0.268851	+	1.17791i
$707$	−5.04209	−	18.7377i	−0.189627	−	0.704703i
$708$	0.0663973	+	0.290906i	0.00249536	+	0.0109329i
$709$	26.6957	+	8.23455i	1.00258	+	0.309255i	0.752230	−	0.658901i	$-0.228978\pi$
$709$	26.6957	+	8.23455i	1.00258	+	0.309255i	0.250350	+	0.968156i	$0.419454\pi$
$710$	8.26355	−	21.0552i	0.310125	−	0.790186i
$711$	0.498405	−	1.26992i	0.0186917	−	0.0476256i
$712$	−4.02583	−	1.24180i	−0.150874	−	0.0465385i
$713$	3.67132	+	16.0851i	0.137492	+	0.602391i
$714$	8.44843	−	11.4727i	0.316174	−	0.429355i
$715$	−1.08115	+	4.73685i	−0.0404329	+	0.177148i
$716$	−0.0724260	+	0.125446i	−0.00270669	+	0.00468812i
$717$	−10.1085	−	17.5084i	−0.377508	−	0.653863i
$718$	−1.19163	+	0.367570i	−0.0444714	+	0.0137176i
$719$	−2.07591	+	27.7011i	−0.0774183	+	1.03307i	0.814288	+	0.580461i	$0.197128\pi$
$719$	−2.07591	+	27.7011i	−0.0774183	+	1.03307i	−0.891706	+	0.452614i	$0.850492\pi$
$720$	−0.227351	−	0.285089i	−0.00847287	−	0.0106246i
$721$	4.08519	−	4.09388i	0.152140	−	0.152464i
$722$	21.6966	−	27.2067i	0.807465	−	1.01253i
$723$	12.0097	+	11.1434i	0.446647	+	0.414428i
$724$	16.0101	+	2.41314i	0.595011	+	0.0896835i
$725$	0.963223	+	0.656714i	0.0357732	+	0.0243898i
$726$	12.1303	−	1.82835i	0.450199	−	0.0678566i
$727$	17.2604	+	8.31216i	0.640152	+	0.308281i	0.725657	−	0.688057i	$-0.241536\pi$
$727$	17.2604	+	8.31216i	0.640152	+	0.308281i	−0.0855050	+	0.996338i	$0.527250\pi$
$728$	2.35838	−	1.74443i	0.0874073	−	0.0646531i
$729$	−25.4846	+	12.2727i	−0.943873	+	0.454545i
$730$	6.98238	−	4.76051i	0.258430	−	0.176194i
$731$	−2.11458	+	1.96204i	−0.0782104	+	0.0725687i
$732$	0.808996	+	10.7953i	0.0299013	+	0.399006i
$733$	6.34496	+	16.1667i	0.234357	+	0.597131i	0.998872	−	0.0474740i	$-0.0151171\pi$
$733$	6.34496	+	16.1667i	0.234357	+	0.597131i	−0.764516	+	0.644605i	$0.777022\pi$
$734$	−21.9699			−0.810925
$735$	23.2380	+	13.3507i	0.857146	+	0.492448i
$736$	−3.81463			−0.140609
$737$	−10.2414	−	26.0947i	−0.377247	−	0.961210i
$738$	−0.0604395	−	0.806509i	−0.00222481	−	0.0296880i
$739$	11.6704	−	10.8286i	0.429304	−	0.398336i	−0.435707	−	0.900088i	$-0.643502\pi$
$739$	11.6704	−	10.8286i	0.429304	−	0.398336i	0.865011	+	0.501753i	$0.167311\pi$
$740$	15.7519	−	10.7395i	0.579053	−	0.394792i
$741$	12.3465	−	5.94576i	0.453560	−	0.218423i
$742$	36.2165	+	9.66295i	1.32955	+	0.354738i
$743$	−25.4594	−	12.2606i	−0.934014	−	0.449797i	−0.0959603	−	0.995385i	$-0.530592\pi$
$743$	−25.4594	−	12.2606i	−0.934014	−	0.449797i	−0.838054	+	0.545588i	$0.816306\pi$
$744$	−7.20680	+	1.08625i	−0.264214	+	0.0398239i
$745$	2.03119	+	1.38484i	0.0744170	+	0.0507366i
$746$	−3.75416	−	0.565849i	−0.137450	−	0.0207172i
$747$	−0.126766	−	0.117622i	−0.00463814	−	0.00430356i
$748$	3.84308	−	4.81906i	0.140517	−	0.176202i
$749$	−40.1875	+	14.1102i	−1.46842	+	0.515574i
$750$	−11.5483	−	14.4811i	−0.421683	−	0.528774i
$751$	−0.499534	+	6.66582i	−0.0182282	+	0.243239i	0.980645	+	0.195792i	$0.0627277\pi$
$751$	−0.499534	+	6.66582i	−0.0182282	+	0.243239i	−0.998874	+	0.0474473i	$0.984891\pi$
$752$	11.5488	−	3.56234i	0.421142	−	0.129905i
$753$	8.49686	+	14.7170i	0.309643	+	0.536317i
$754$	−3.98471	+	6.90172i	−0.145114	+	0.251346i
$755$	2.42192	−	10.6111i	0.0881426	−	0.386178i
$756$	12.9208	+	5.62094i	0.469924	+	0.204432i
$757$	5.17618	+	22.6783i	0.188131	+	0.824257i	0.977601	+	0.210467i	$0.0674986\pi$
$757$	5.17618	+	22.6783i	0.188131	+	0.824257i	−0.789470	+	0.613790i	$0.789644\pi$
$758$	−7.81181	−	2.40963i	−0.283738	−	0.0875215i
$759$	−4.52945	+	11.5408i	−0.164409	+	0.418906i
$760$	−6.08837	+	15.5129i	−0.220849	+	0.562713i
$761$	−11.5536	−	3.56382i	−0.418818	−	0.129188i	0.0781813	−	0.996939i	$-0.475089\pi$
$761$	−11.5536	−	3.56382i	−0.418818	−	0.129188i	−0.496999	+	0.867751i	$0.665565\pi$
$762$	5.29174	+	23.1846i	0.191700	+	0.839891i
$763$	−41.0729	+	1.58054i	−1.48694	+	0.0572193i
$764$	1.80752	−	7.91924i	0.0653936	−	0.286508i
$765$	0.582658	−	1.00919i	0.0210660	−	0.0364875i
$766$	−5.97404	−	10.3473i	−0.215851	−	0.373865i
$767$	−0.187607	+	0.0578690i	−0.00677408	+	0.00208953i
$768$	0.125927	−	1.68037i	0.00454398	−	0.0606352i
$769$	12.0046	+	15.0533i	0.432896	+	0.542834i	0.949655	−	0.313296i	$-0.101433\pi$
$769$	12.0046	+	15.0533i	0.432896	+	0.542834i	−0.516760	+	0.856131i	$0.672862\pi$
$770$	9.82361	+	6.15803i	0.354018	+	0.221920i
$771$	−0.587930	+	0.737241i	−0.0211738	+	0.0265511i
$772$	9.46635	+	8.78349i	0.340701	+	0.316125i
$773$	−30.6587	−	4.62106i	−1.10272	−	0.166208i	−0.427636	−	0.903951i	$-0.640653\pi$
$773$	−30.6587	−	4.62106i	−1.10272	−	0.166208i	−0.675081	+	0.737743i	$0.735891\pi$
$774$	−0.119693	−	0.0816053i	−0.00430228	−	0.00293324i
$775$	−0.693653	+	0.104551i	−0.0249167	+	0.00375559i
$776$	5.06974	+	2.44146i	0.181993	+	0.0876433i
$777$	−17.4452	+	33.0929i	−0.625841	+	1.18720i
$778$	−17.2707	+	8.31713i	−0.619185	+	0.298184i
$779$	−30.5398	+	20.8217i	−1.09420	+	0.746014i
$780$	−3.11171	+	2.88725i	−0.111417	+	0.103380i
$781$	1.43489	+	19.1473i	0.0513446	+	0.685146i
$782$	−4.45376	−	11.3480i	−0.159266	−	0.405803i
$783$	−38.2804			−1.36803
$784$	−2.07749	−	6.68461i	−0.0741962	−	0.238736i
$785$	41.8883			1.49506
$786$	−6.14097	−	15.6469i	−0.219041	−	0.558108i
$787$	−2.30388	−	30.7431i	−0.0821244	−	1.09587i	−0.874237	−	0.485499i	$-0.838638\pi$
$787$	−2.30388	−	30.7431i	−0.0821244	−	1.09587i	0.792113	−	0.610375i	$-0.208981\pi$
$788$	8.74522	−	8.11438i	0.311536	−	0.289063i
$789$	2.99694	−	2.04328i	0.106694	−	0.0727426i
$790$	17.4004	−	8.37961i	0.619080	−	0.298133i
$791$	2.97331	+	2.55324i	0.105719	+	0.0907829i
$792$	0.278891	+	0.134307i	0.00990995	+	0.00477238i
$793$	−7.04332	+	1.06161i	−0.250116	+	0.0376989i
$794$	−5.34111	−	3.64151i	−0.189549	−	0.129232i
$795$	−53.6353	−	8.08422i	−1.90225	−	0.286718i
$796$	−4.77263	−	4.42835i	−0.169161	−	0.156959i
$797$	19.2122	−	24.0913i	0.680531	−	0.853359i	−0.314872	−	0.949134i	$-0.601962\pi$
$797$	19.2122	−	24.0913i	0.680531	−	0.853359i	0.995403	+	0.0957752i	$0.0305330\pi$
$798$	−3.69583	−	32.4911i	−0.130831	−	1.15017i
$799$	24.0812	+	30.1969i	0.851933	+	1.06829i
$800$	0.0121204	−	0.161735i	0.000428520	−	0.00571821i
$801$	0.646109	−	0.199298i	0.0228291	−	0.00704186i
$802$	3.28548	+	5.69061i	0.116014	+	0.200942i
$803$	−3.58694	+	6.21277i	−0.126581	+	0.219244i
$804$	5.44980	−	23.8771i	0.192200	−	0.842081i
$805$	20.2620	−	10.7363i	0.714142	−	0.378406i
$806$	−1.06708	−	4.67517i	−0.0375862	−	0.164676i
$807$	−12.4493	−	3.84009i	−0.438235	−	0.135178i
$808$	2.67945	−	6.82712i	0.0942626	−	0.240177i
$809$	−5.35070	+	13.6334i	−0.188120	+	0.479323i	−0.993554	−	0.113364i	$-0.963838\pi$
$809$	−5.35070	+	13.6334i	−0.188120	+	0.479323i	0.805433	+	0.592687i	$0.201933\pi$
$810$	−18.4387	−	5.68758i	−0.647870	−	0.199841i
$811$	−0.557187	−	2.44120i	−0.0195655	−	0.0857220i	0.964203	−	0.265167i	$-0.0854270\pi$
$811$	−0.557187	−	2.44120i	−0.0195655	−	0.0857220i	−0.983768	+	0.179445i	$0.942570\pi$
$812$	12.4201	+	14.4014i	0.435859	+	0.505390i
$813$	1.90576	−	8.34967i	0.0668378	−	0.292836i
$814$	−8.09199	+	14.0157i	−0.283624	+	0.491251i
$815$	22.2084	+	38.4661i	0.777926	+	1.34741i
$816$	5.14590	−	1.58730i	0.180143	−	0.0555666i
$817$	−0.494759	+	6.60210i	−0.0173094	+	0.230978i
$818$	3.54464	+	4.44483i	0.123935	+	0.155410i
$819$	−0.155019	+	0.444535i	−0.00541682	+	0.0155333i
$820$	7.13873	−	8.95168i	0.249295	−	0.312606i
$821$	−31.5401	−	29.2649i	−1.10076	−	1.02135i	−0.999649	−	0.0264772i	$-0.991571\pi$
$821$	−31.5401	−	29.2649i	−1.10076	−	1.02135i	−0.101107	−	0.994876i	$-0.532238\pi$
$822$	−10.6785	−	1.60953i	−0.372456	−	0.0561387i
$823$	−28.3851	−	19.3527i	−0.989444	−	0.674591i	−0.0435446	−	0.999051i	$-0.513865\pi$
$823$	−28.3851	−	19.3527i	−0.989444	−	0.674591i	−0.945899	+	0.324460i	$0.894817\pi$
$824$	2.16153	−	0.325799i	0.0753006	−	0.0113497i
$825$	−0.474926	−	0.228712i	−0.0165348	−	0.00796274i
$826$	−0.0170203	+	0.468188i	−0.000592211	+	0.0162903i
$827$	6.84938	−	3.29849i	0.238176	−	0.114700i	−0.310989	−	0.950414i	$-0.600660\pi$
$827$	6.84938	−	3.29849i	0.238176	−	0.114700i	0.549165	+	0.835714i	$0.314946\pi$
$828$	0.505834	−	0.344872i	0.0175790	−	0.0119851i
$829$	33.4243	−	31.0133i	1.16088	−	1.07713i	0.165010	−	0.986292i	$-0.447234\pi$
$829$	33.4243	−	31.0133i	1.16088	−	1.07713i	0.995865	−	0.0908431i	$-0.0289562\pi$
$830$	−0.182949	−	2.44129i	−0.00635026	−	0.0847384i
$831$	−16.6438	−	42.4076i	−0.577366	−	1.47110i
$832$	1.10873			0.0384383
$833$	17.4602	−	13.9849i	0.604961	−	0.484547i
$834$	−0.988491			−0.0342286
$835$	−15.5153	−	39.5323i	−0.536928	−	1.36807i
$836$	−1.05719	−	14.1073i	−0.0365638	−	0.487910i
$837$	16.8853	−	15.6673i	0.583643	−	0.541541i
$838$	12.4194	−	8.46739i	0.429020	−	0.292501i
$839$	−13.3231	+	6.41605i	−0.459963	+	0.221507i	−0.649492	−	0.760369i	$-0.725018\pi$
$839$	−13.3231	+	6.41605i	−0.459963	+	0.221507i	0.189529	+	0.981875i	$0.439304\pi$
$840$	4.06056	+	9.28000i	0.140103	+	0.320190i
$841$	−20.4209	−	9.83417i	−0.704168	−	0.339109i
$842$	9.79962	−	1.47705i	0.337717	−	0.0509027i
$843$	−12.9180	−	8.80735i	−0.444920	−	0.303341i
$844$	−0.561120	−	0.0845753i	−0.0193146	−	0.00291120i
$845$	19.6044	+	18.1903i	0.674413	+	0.625764i
$846$	−1.20935	+	1.51648i	−0.0415785	+	0.0521377i
$847$	19.1422	+	2.13621i	0.657732	+	0.0734010i
$848$	8.83323	+	11.0765i	0.303334	+	0.380369i
$849$	1.32149	−	17.6341i	0.0453535	−	0.605200i
$850$	0.495291	−	0.152777i	0.0169884	−	0.00524021i
$851$	16.0042	+	27.7201i	0.548616	+	0.950232i
$852$	−8.38770	+	14.5279i	−0.287358	+	0.497718i
$853$	2.39645	−	10.4995i	0.0820530	−	0.359498i	−0.917188	−	0.398455i	$-0.869547\pi$
$853$	2.39645	−	10.4995i	0.0820530	−	0.359498i	0.999241	+	0.0389574i	$0.0124037\pi$
$854$	−3.14224	+	16.7043i	−0.107525	+	0.571608i
$855$	−0.595147	−	2.60751i	−0.0203536	−	0.0891750i
$856$	−15.3833	−	4.74512i	−0.525790	−	0.162185i
$857$	12.6782	−	32.3036i	0.433079	−	1.10347i	−0.533204	−	0.845987i	$-0.679012\pi$
$857$	12.6782	−	32.3036i	0.433079	−	1.10347i	0.966283	−	0.257482i	$-0.0828927\pi$
$858$	1.31650	−	3.35438i	0.0449445	−	0.114517i
$859$	46.5736	+	14.3660i	1.58907	+	0.490163i	0.958290	−	0.285799i	$-0.0922588\pi$
$859$	46.5736	+	14.3660i	1.58907	+	0.490163i	0.630780	+	0.775962i	$0.282735\pi$
$860$	−0.456352	−	1.99941i	−0.0155615	−	0.0681793i
$861$	−4.15342	+	22.0797i	−0.141548	+	0.752476i
$862$	−4.92933	+	21.5968i	−0.167894	+	0.735591i
$863$	14.8418	−	25.7068i	0.505221	−	0.875069i	−0.494761	−	0.869029i	$-0.664744\pi$
$863$	14.8418	−	25.7068i	0.505221	−	0.875069i	0.999982	−	0.00603937i	$-0.00192240\pi$
$864$	2.66285	+	4.61219i	0.0905919	+	0.156910i
$865$	22.3821	−	6.90395i	0.761013	−	0.234741i
$866$	1.19368	−	15.9285i	0.0405629	−	0.541274i
$867$	−7.13067	−	8.94158i	−0.242170	−	0.303672i
$868$	−11.3726	−	1.26915i	−0.386012	−	0.0430778i
$869$	−10.2220	+	12.8180i	−0.346758	+	0.434821i
$870$	−20.1731	−	18.7179i	−0.683933	−	0.634597i
$871$	15.9344	+	2.40173i	0.539917	+	0.0813794i
$872$	−12.8361	−	8.75150i	−0.434685	−	0.296363i
$873$	−0.892995	+	0.134597i	−0.0302233	+	0.00455543i
$874$	−25.2085	−	12.1398i	−0.852691	−	0.410635i
$875$	−11.6577	−	26.6425i	−0.394103	−	0.900681i
$876$	−5.64693	+	2.71942i	−0.190792	+	0.0918807i
$877$	−26.0541	+	17.7634i	−0.879786	+	0.599828i	−0.916738	−	0.399489i	$-0.869188\pi$
$877$	−26.0541	+	17.7634i	−0.879786	+	0.599828i	0.0369519	+	0.999317i	$0.488235\pi$
$878$	8.54848	−	7.93183i	0.288497	−	0.267686i
$879$	1.38999	+	18.5481i	0.0468832	+	0.625613i
$880$	1.60099	+	4.07926i	0.0539694	+	0.137512i
$881$	−19.9486			−0.672086			−0.336043	−	0.941847i	$-0.609089\pi$
$881$	−19.9486			−0.672086			−0.336043	+	0.941847i	$0.609089\pi$
$882$	0.879825	+	0.698584i	0.0296252	+	0.0235225i
$883$	3.31153			0.111442			0.0557209	−	0.998446i	$-0.482254\pi$
$883$	3.31153			0.111442			0.0557209	+	0.998446i	$0.482254\pi$
$884$	1.29450	+	3.29832i	0.0435386	+	0.110935i
$885$	−0.0506631	−	0.676053i	−0.00170302	−	0.0227253i
$886$	−2.80246	+	2.60031i	−0.0941506	+	0.0873590i
$887$	26.5762	−	18.1193i	0.892340	−	0.608387i	−0.0279561	−	0.999609i	$-0.508900\pi$
$887$	26.5762	−	18.1193i	0.892340	−	0.608387i	0.920296	+	0.391222i	$0.127947\pi$
$888$	−12.7392	+	6.13489i	−0.427500	+	0.205873i
$889$	−1.35648	+	37.3137i	−0.0454950	+	1.25146i
$890$	8.62418	+	4.15319i	0.289083	+	0.139215i
$891$	16.1974	−	2.44136i	0.542633	−	0.0817887i
$892$	10.6500	+	7.26108i	0.356590	+	0.243119i
$893$	87.6560	+	13.2120i	2.93329	+	0.442123i
$894$	−1.33655	−	1.24013i	−0.0447008	−	0.0414763i
$895$	0.205197	−	0.257309i	0.00685898	−	0.00860088i
$896$	0.871183	−	2.49821i	0.0291042	−	0.0834593i
$897$	−4.44354	−	5.57202i	−0.148366	−	0.186044i
$898$	−3.03018	+	40.4349i	−0.101118	+	1.34933i
$899$	29.7073	−	9.16348i	0.990793	−	0.305619i
$900$	0.0130149	+	0.0225425i	0.000433831	+	0.000751417i
$901$	−22.6379	+	39.2100i	−0.754178	+	1.30628i
$902$	−2.16281	+	9.47590i	−0.0720138	+	0.315513i
$903$	2.62820	+	3.04746i	0.0874609	+	0.101413i
$904$	0.329619	+	1.44415i	0.0109630	+	0.0480319i
$905$	−35.1523	−	10.8430i	−1.16850	−	0.360435i
$906$	−2.94911	+	7.51422i	−0.0979777	+	0.249643i
$907$	−3.67074	+	9.35288i	−0.121885	+	0.310557i	−0.978774	−	0.204944i	$-0.934299\pi$
$907$	−3.67074	+	9.35288i	−0.121885	+	0.310557i	0.856889	+	0.515501i	$0.172394\pi$
$908$	18.5326	+	5.71654i	0.615025	+	0.189710i
$909$	0.261920	+	1.14755i	0.00868733	+	0.0380617i
$910$	−5.88921	+	3.12055i	−0.195225	+	0.103445i
$911$	−0.706756	+	3.09650i	−0.0234159	+	0.102592i	−0.985285	−	0.170917i	$-0.945327\pi$
$911$	−0.706756	+	3.09650i	−0.0234159	+	0.102592i	0.961870	+	0.273509i	$0.0881842\pi$
$912$	6.17984	−	10.7038i	0.204635	−	0.354438i
$913$	1.03911	+	1.79979i	0.0343895	+	0.0595644i
$914$	29.0453	−	8.95929i	0.960733	−	0.296347i
$915$	1.83807	−	24.5274i	0.0607649	−	0.810851i
$916$	15.8390	+	19.8614i	0.523335	+	0.656241i
$917$	−2.98279	−	26.2225i	−0.0985003	−	0.865944i
$918$	−10.6116	+	13.3065i	−0.350236	+	0.439182i
$919$	6.93680	+	6.43641i	0.228824	+	0.212318i	0.786249	−	0.617910i	$-0.212020\pi$
$919$	6.93680	+	6.43641i	0.228824	+	0.212318i	−0.557425	+	0.830227i	$0.688211\pi$
$920$	8.57020	+	1.29175i	0.282551	+	0.0425877i
$921$	−46.2640	−	31.5423i	−1.52445	−	1.03935i
$922$	4.52851	−	0.682563i	0.149139	−	0.0224790i
$923$	−9.94460	−	4.78906i	−0.327330	−	0.157634i
$924$	−6.52370	−	5.60204i	−0.214614	−	0.184294i
$925$	−1.22615	+	0.590481i	−0.0403155	+	0.0194149i
$926$	4.47124	−	3.04844i	0.146934	−	0.100178i
$927$	−0.257173	+	0.238622i	−0.00844667	+	0.00783736i
$928$	0.537150	+	7.16777i	0.0176328	+	0.235294i
$929$	−20.2352	−	51.5585i	−0.663896	−	1.69158i	−0.720749	−	0.693196i	$-0.756202\pi$
$929$	−20.2352	−	51.5585i	−0.663896	−	1.69158i	0.0568538	−	0.998383i	$-0.481893\pi$
$930$	16.5591			0.542995
$931$	7.54443	−	50.7860i	0.247259	−	1.66444i
$932$	−0.102506			−0.00335770
$933$	13.4335	+	34.2281i	0.439795	+	1.12058i
$934$	−0.713146	−	9.51627i	−0.0233349	−	0.311382i
$935$	−10.2660	+	9.52545i	−0.335734	+	0.311516i
$936$	−0.147022	+	0.100238i	−0.00480557	+	0.00327638i
$937$	−6.11981	+	2.94714i	−0.199925	+	0.0962790i	−0.531168	−	0.847267i	$-0.678247\pi$
$937$	−6.11981	+	2.94714i	−0.199925	+	0.0962790i	0.331242	+	0.943546i	$0.392532\pi$
$938$	17.9320	−	34.0165i	0.585501	−	1.11068i
$939$	48.9747	+	23.5850i	1.59823	+	0.769667i
$940$	−27.1527	+	4.09261i	−0.885622	+	0.133486i
$941$	−23.2578	−	15.8569i	−0.758183	−	0.516921i	0.121436	−	0.992599i	$-0.461250\pi$
$941$	−23.2578	−	15.8569i	−0.758183	−	0.516921i	−0.879619	+	0.475679i	$0.842203\pi$
$942$	−30.7199	−	4.63027i	−1.00091	−	0.150862i
$943$	14.0916	+	13.0751i	0.458886	+	0.425784i
$944$	−0.110405	+	0.138443i	−0.00359337	+	0.00450594i
$945$	−27.1252	−	17.0038i	−0.882384	−	0.553132i
$946$	1.08546	+	1.36113i	0.0352915	+	0.0442541i
$947$	0.448229	−	5.98120i	0.0145655	−	0.194363i	−0.985174	−	0.171556i	$-0.945121\pi$
$947$	0.448229	−	5.98120i	0.0145655	−	0.194363i	0.999740	−	0.0228071i	$-0.00726037\pi$
$948$	−13.6873	+	4.22198i	−0.444544	+	0.137124i
$949$	−2.06195	−	3.57140i	−0.0669336	−	0.115932i
$950$	0.594808	−	1.03024i	0.0192981	−	0.0334253i
$951$	4.07516	−	17.8544i	0.132146	−	0.578969i
$952$	8.44897	−	0.325128i	0.273833	−	0.0105374i
$953$	0.461788	+	2.02323i	0.0149588	+	0.0655387i	0.981856	−	0.189626i	$-0.0607275\pi$
$953$	0.461788	+	2.02323i	0.0149588	+	0.0655387i	−0.966898	+	0.255165i	$0.917870\pi$
$954$	−2.17273	−	0.670197i	−0.0703446	−	0.0216984i
$955$	−6.74259	+	17.1798i	−0.218185	+	0.555926i
$956$	4.38321	−	11.1682i	0.141763	−	0.361207i
$957$	22.3233	+	6.88584i	0.721611	+	0.222587i
$958$	3.62847	+	15.8974i	0.117230	+	0.513620i
$959$	−15.5482	−	6.76394i	−0.502077	−	0.218419i
$960$	−0.851941	+	3.73260i	−0.0274963	+	0.120469i
$961$	6.14663	−	10.6463i	0.198278	−	0.343428i
$962$	−4.65166	−	8.05691i	−0.149976	−	0.259765i
$963$	2.46888	−	0.761548i	0.0795585	−	0.0245406i
$964$	−0.726562	+	9.69530i	−0.0234010	+	0.312265i
$965$	−18.2934	−	22.9392i	−0.588885	−	0.738439i
$966$	−16.0465	+	5.63404i	−0.516286	+	0.181272i
$967$	9.29012	−	11.6494i	0.298750	−	0.374621i	−0.609687	−	0.792642i	$-0.708705\pi$
$967$	9.29012	−	11.6494i	0.298750	−	0.374621i	0.908437	+	0.418022i	$0.137276\pi$
$968$	5.33659	+	4.95163i	0.171525	+	0.159152i
$969$	39.0576	+	5.88699i	1.25471	+	0.189117i
$970$	−10.5633	−	7.20192i	−0.339166	−	0.231240i
$971$	−54.2663	+	8.17932i	−1.74149	+	0.262487i	−0.941375	−	0.337363i	$-0.890465\pi$
$971$	−54.2663	+	8.17932i	−1.74149	+	0.262487i	−0.800113	+	0.599850i	$0.795227\pi$
$972$	−1.50106	−	0.722871i	−0.0481465	−	0.0231861i
$973$	−1.49957	−	0.400102i	−0.0480741	−	0.0128267i
$974$	−10.9273	+	5.26232i	−0.350134	+	0.168616i
$975$	0.250366	−	0.170696i	0.00801811	−	0.00546666i
$976$	−4.70938	+	4.36967i	−0.150744	+	0.139870i
$977$	3.76481	+	50.2379i	0.120447	+	1.60725i	0.650647	+	0.759381i	$0.274498\pi$
$977$	3.76481	+	50.2379i	0.120447	+	1.60725i	−0.530200	+	0.847873i	$0.677883\pi$
$978$	−12.0351	−	30.6650i	−0.384841	−	0.980558i
$979$	−8.12577			−0.259701
$980$	2.40383	+	15.7216i	0.0767874	+	0.502208i
$981$	2.49332			0.0796056
$982$	−2.43535	−	6.20517i	−0.0777151	−	0.198015i
$983$	1.57184	+	20.9747i	0.0501338	+	0.668989i	0.964497	+	0.264094i	$0.0850728\pi$
$983$	1.57184	+	20.9747i	0.0501338	+	0.668989i	−0.914363	+	0.404895i	$0.867308\pi$
$984$	−6.22488	+	5.77584i	−0.198442	+	0.184127i
$985$	−22.3954	+	15.2689i	−0.713576	+	0.486508i
$986$	−20.6960	+	9.96666i	−0.659094	+	0.317403i
$987$	43.3194	−	32.0423i	1.37887	−	1.01992i
$988$	7.32693	+	3.52846i	0.233101	+	0.112255i
$989$	3.40476	−	0.513185i	0.108265	−	0.0163183i
$990$	−0.581094	−	0.396183i	−0.0184684	−	0.0125915i
$991$	−39.3203	−	5.92658i	−1.24905	−	0.188264i	−0.508971	−	0.860784i	$-0.669974\pi$
$991$	−39.3203	−	5.92658i	−1.24905	−	0.188264i	−0.740079	+	0.672520i	$0.765212\pi$
$992$	−3.17054	−	2.94183i	−0.100665	−	0.0934033i
$993$	−4.83493	+	6.06281i	−0.153432	+	0.192398i
$994$	−18.6047	+	18.6443i	−0.590106	+	0.591361i
$995$	9.22294	+	11.5652i	0.292387	+	0.366641i
$996$	−0.135686	+	1.81061i	−0.00429938	+	0.0573712i
$997$	32.9131	−	10.1524i	1.04237	−	0.321528i	0.274131	−	0.961692i	$-0.411610\pi$
$997$	32.9131	−	10.1524i	1.04237	−	0.321528i	0.768238	+	0.640164i	$0.221134\pi$
$998$	−2.53844	−	4.39671i	−0.0803530	−	0.139176i
$999$	22.3438	−	38.7007i	0.706928	−	1.22444i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.g.b.65.2	✓	24
3.2	odd	2		882.2.z.b.163.1		24
4.3	odd	2		784.2.bg.b.65.1		24
7.2	even	3		686.2.e.c.295.2		24
7.3	odd	6		686.2.g.d.165.1		24
7.4	even	3		686.2.g.f.165.2		24
7.5	odd	6		686.2.e.d.295.3		24
7.6	odd	2		686.2.g.e.569.1		24
49.3	odd	42		686.2.g.e.557.1		24
49.5	odd	42		686.2.e.d.393.3		24
49.8	even	7		686.2.g.f.79.2		24
49.12	odd	42		4802.2.a.l.1.5		12
49.37	even	21		4802.2.a.o.1.8		12
49.41	odd	14		686.2.g.d.79.1		24
49.44	even	21		686.2.e.c.393.2		24
49.46	even	21	inner	98.2.g.b.95.2	yes	24
147.95	odd	42		882.2.z.b.487.1		24
196.95	odd	42		784.2.bg.b.193.1		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.g.b.65.2	✓	24	1.1	even	1	trivial
98.2.g.b.95.2	yes	24	49.46	even	21	inner
686.2.e.c.295.2		24	7.2	even	3
686.2.e.c.393.2		24	49.44	even	21
686.2.e.d.295.3		24	7.5	odd	6
686.2.e.d.393.3		24	49.5	odd	42
686.2.g.d.79.1		24	49.41	odd	14
686.2.g.d.165.1		24	7.3	odd	6
686.2.g.e.557.1		24	49.3	odd	42
686.2.g.e.569.1		24	7.6	odd	2
686.2.g.f.79.2		24	49.8	even	7
686.2.g.f.165.2		24	7.4	even	3
784.2.bg.b.65.1		24	4.3	odd	2
784.2.bg.b.193.1		24	196.95	odd	42
882.2.z.b.163.1		24	3.2	odd	2
882.2.z.b.487.1		24	147.95	odd	42
4802.2.a.l.1.5		12	49.12	odd	42
4802.2.a.o.1.8		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)

\(f(q)\)	\(=\)	\(q+(0.365341 + 0.930874i) q^{2} +(0.125927 + 1.68037i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(1.87725 - 1.27989i) q^{5} +(-1.51821 + 0.731131i) q^{6} +(-2.59910 + 0.494638i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.158698 - 0.0239199i) q^{9} +O(q^{10})\)	\(q+(0.365341 + 0.930874i) q^{2} +(0.125927 + 1.68037i) q^{3} +(-0.733052 + 0.680173i) q^{4} +(1.87725 - 1.27989i) q^{5} +(-1.51821 + 0.731131i) q^{6} +(-2.59910 + 0.494638i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(0.158698 - 0.0239199i) q^{9} +(1.87725 + 1.27989i) q^{10} +(-1.90720 - 0.287464i) q^{11} +(-1.23525 - 1.14615i) q^{12} +(0.691283 - 0.866841i) q^{13} +(-1.41000 - 2.23872i) q^{14} +(2.38709 + 2.99331i) q^{15} +(0.0747301 - 0.997204i) q^{16} +(3.05379 - 0.941971i) q^{17} +(0.0802455 + 0.138989i) q^{18} +(3.66738 - 6.35209i) q^{19} +(-0.505578 + 2.21508i) q^{20} +(-1.15847 - 4.30517i) q^{21} +(-0.429185 - 1.88038i) q^{22} +(-3.64515 - 1.12438i) q^{23} +(0.615630 - 1.56860i) q^{24} +(0.0592542 - 0.150977i) q^{25} +(1.05947 + 0.326804i) q^{26} +(1.18508 + 5.19217i) q^{27} +(1.56884 - 2.13043i) q^{28} +(-1.59945 + 7.00765i) q^{29} +(-1.91429 + 3.31565i) q^{30} +(-2.16256 - 3.74567i) q^{31} +(0.955573 - 0.294755i) q^{32} +(0.242879 - 3.24100i) q^{33} +(1.99253 + 2.49856i) q^{34} +(-4.24609 + 4.25512i) q^{35} +(-0.100065 + 0.125477i) q^{36} +(-6.15101 - 5.70730i) q^{37} +(7.25284 + 1.09319i) q^{38} +(1.54367 + 1.05245i) q^{39} +(-2.24667 + 0.338631i) q^{40} +(-4.54030 - 2.18649i) q^{41} +(3.58433 - 2.65125i) q^{42} +(-0.813247 + 0.391639i) q^{43} +(1.59360 - 1.08650i) q^{44} +(0.267302 - 0.248020i) q^{45} +(-0.285067 - 3.80396i) q^{46} +(4.41542 + 11.2503i) q^{47} +1.68508 q^{48} +(6.51067 - 2.57123i) q^{49} +0.162189 q^{50} +(1.96742 + 5.01289i) q^{51} +(0.0828556 + 1.10563i) q^{52} +(-10.3854 + 9.63628i) q^{53} +(-4.40029 + 3.00007i) q^{54} +(-3.94821 + 1.90136i) q^{55} +(2.55633 + 0.682055i) q^{56} +(11.1357 + 5.36267i) q^{57} +(-7.10759 + 1.07130i) q^{58} +(-0.146306 - 0.0997501i) q^{59} +(-3.78583 - 0.570621i) q^{60} +(-4.70938 - 4.36967i) q^{61} +(2.69667 - 3.38152i) q^{62} +(-0.400642 + 0.140669i) q^{63} +(0.623490 + 0.781831i) q^{64} +(0.188252 - 2.51204i) q^{65} +(3.10570 - 0.957980i) q^{66} +(7.26704 + 12.5869i) q^{67} +(-1.59789 + 2.76762i) q^{68} +(1.43036 - 6.26680i) q^{69} +(-5.51225 - 2.39800i) q^{70} +(-2.21525 - 9.70563i) q^{71} +(-0.153361 - 0.0473056i) q^{72} +(1.35888 - 3.46236i) q^{73} +(3.06556 - 7.81092i) q^{74} +(0.261160 + 0.0805571i) q^{75} +(1.63214 + 7.15086i) q^{76} +(5.09919 - 0.196224i) q^{77} +(-0.415737 + 1.82146i) q^{78} +(4.25014 - 7.36146i) q^{79} +(-1.13602 - 1.96765i) q^{80} +(-8.11546 + 2.50329i) q^{81} +(0.376591 - 5.02526i) q^{82} +(-0.671812 - 0.842425i) q^{83} +(3.77748 + 2.36795i) q^{84} +(4.52712 - 5.67683i) q^{85} +(-0.661679 - 0.613948i) q^{86} +(-11.9769 - 1.80522i) q^{87} +(1.59360 + 1.08650i) q^{88} +(4.16594 - 0.627915i) q^{89} +(0.328532 + 0.158213i) q^{90} +(-1.36794 + 2.59494i) q^{91} +(3.43686 - 1.65510i) q^{92} +(6.02180 - 4.10559i) q^{93} +(-8.85948 + 8.22040i) q^{94} +(-1.24537 - 16.6183i) q^{95} +(0.615630 + 1.56860i) q^{96} -5.62699 q^{97} +(4.77210 + 5.12123i) q^{98} -0.309545 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

Modular forms

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Database

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