LMFDB - Embedded newform 99.2.p.a.2.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 3]))

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

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

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			2.4
Character	$\chi$	$=$	99.2
Dual form			99.2.p.a.50.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.906431 - 1.00669i) q^{2} +(1.04844 - 1.37868i) q^{3} +(0.0172421 - 0.164047i) q^{4} +(2.90247 + 2.61340i) q^{5} +(-2.33825 + 0.194222i) q^{6} +(-0.686294 - 1.54144i) q^{7} +(-2.37263 + 1.72381i) q^{8} +(-0.801540 - 2.89094i) q^{9} +O(q^{10})$	\(q+(-0.906431 - 1.00669i) q^{2} +(1.04844 - 1.37868i) q^{3} +(0.0172421 - 0.164047i) q^{4} +(2.90247 + 2.61340i) q^{5} +(-2.33825 + 0.194222i) q^{6} +(-0.686294 - 1.54144i) q^{7} +(-2.37263 + 1.72381i) q^{8} +(-0.801540 - 2.89094i) q^{9} -5.29077i q^{10} +(-3.27037 + 0.552005i) q^{11} +(-0.208092 - 0.195766i) q^{12} +(0.329720 + 1.55121i) q^{13} +(-0.929682 + 2.08810i) q^{14} +(6.64613 - 1.26160i) q^{15} +(3.56328 + 0.757399i) q^{16} +(1.06483 + 3.27721i) q^{17} +(-2.18375 + 3.42734i) q^{18} +(-0.586799 - 0.807660i) q^{19} +(0.478766 - 0.431083i) q^{20} +(-2.84470 - 0.669929i) q^{21} +(3.52006 + 2.79190i) q^{22} +(-2.12544 + 1.22712i) q^{23} +(-0.110966 + 5.07842i) q^{24} +(1.07186 + 10.1980i) q^{25} +(1.26273 - 1.73799i) q^{26} +(-4.82606 - 1.92591i) q^{27} +(-0.264703 + 0.0860072i) q^{28} +(7.98760 - 3.55631i) q^{29} +(-7.29430 - 5.54706i) q^{30} +(-2.26385 + 0.481196i) q^{31} +(0.465328 + 0.805971i) q^{32} +(-2.66775 + 5.08755i) q^{33} +(2.33395 - 4.04252i) q^{34} +(2.03645 - 6.26756i) q^{35} +(-0.488071 + 0.0816447i) q^{36} +(3.40567 + 2.47437i) q^{37} +(-0.281173 + 1.32281i) q^{38} +(2.48432 + 1.17178i) q^{39} +(-11.3915 - 1.19730i) q^{40} +(-6.15240 - 2.73923i) q^{41} +(1.90411 + 3.47099i) q^{42} +(2.67142 + 1.54235i) q^{43} +(0.0341671 + 0.546013i) q^{44} +(5.22873 - 10.4856i) q^{45} +(3.16190 + 1.02736i) q^{46} +(-0.406253 + 0.0426989i) q^{47} +(4.78011 - 4.11855i) q^{48} +(2.77887 - 3.08625i) q^{49} +(9.29473 - 10.3228i) q^{50} +(5.63465 + 1.96790i) q^{51} +(0.260157 - 0.0273436i) q^{52} +(-13.6265 - 4.42751i) q^{53} +(2.43569 + 6.60407i) q^{54} +(-10.9348 - 6.94459i) q^{55} +(4.28548 + 2.47422i) q^{56} +(-1.72873 - 0.0377735i) q^{57} +(-10.8203 - 4.81752i) q^{58} +(-2.92039 - 0.306945i) q^{59} +(-0.0923688 - 1.11203i) q^{60} +(1.62092 - 7.62581i) q^{61} +(2.53644 + 1.84283i) q^{62} +(-3.90613 + 3.21956i) q^{63} +(2.64101 - 8.12819i) q^{64} +(-3.09693 + 5.36404i) q^{65} +(7.53973 - 1.92590i) q^{66} +(3.94035 + 6.82489i) q^{67} +(0.555978 - 0.118177i) q^{68} +(-0.536585 + 4.21688i) q^{69} +(-8.15541 + 3.63102i) q^{70} +(4.67741 - 1.51978i) q^{71} +(6.88520 + 5.47742i) q^{72} +(-7.30535 + 10.0549i) q^{73} +(-0.596079 - 5.67131i) q^{74} +(15.1836 + 9.21429i) q^{75} +(-0.142612 + 0.0823371i) q^{76} +(3.09532 + 4.66224i) q^{77} +(-1.07225 - 3.56309i) q^{78} +(-0.236603 + 0.213038i) q^{79} +(8.36295 + 11.5106i) q^{80} +(-7.71507 + 4.63441i) q^{81} +(2.81917 + 8.67650i) q^{82} +(-7.96674 - 1.69338i) q^{83} +(-0.158949 + 0.455115i) q^{84} +(-5.47402 + 12.2948i) q^{85} +(-0.868789 - 4.08733i) q^{86} +(3.47151 - 14.7410i) q^{87} +(6.80781 - 6.94721i) q^{88} +1.28794i q^{89} +(-15.2953 + 4.24076i) q^{90} +(2.16482 - 1.57283i) q^{91} +(0.164659 + 0.369831i) q^{92} +(-1.71010 + 3.62564i) q^{93} +(0.411225 + 0.370268i) q^{94} +(0.407568 - 3.87775i) q^{95} +(1.59905 + 0.203474i) q^{96} +(-4.38456 - 4.86954i) q^{97} -5.62576 q^{98} +(4.21714 + 9.01198i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9}+O(q^{10}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27} - 20 q^{28} + 30 q^{29} + 50 q^{30} - 6 q^{31} + 4 q^{33} - 10 q^{34} - 17 q^{36} - 6 q^{37} + 9 q^{38} + 85 q^{39} + 15 q^{40} - 15 q^{41} + 19 q^{42} - 12 q^{45} - 40 q^{46} - 21 q^{47} + 70 q^{48} - q^{49} + 60 q^{50} - 45 q^{51} - 5 q^{52} - 18 q^{55} + 90 q^{56} + 60 q^{57} - 29 q^{58} + 81 q^{59} + 43 q^{60} - 5 q^{61} + 15 q^{63} - 8 q^{64} - 39 q^{66} + 10 q^{67} + 180 q^{68} - 20 q^{69} + 30 q^{70} + 5 q^{72} - 20 q^{73} - 15 q^{74} - 30 q^{75} + 33 q^{77} + 152 q^{78} - 5 q^{79} - 73 q^{81} - 2 q^{82} - 60 q^{83} - 135 q^{84} - 5 q^{85} - 48 q^{86} - 59 q^{88} - 70 q^{90} + 52 q^{91} - 213 q^{92} - 34 q^{93} - 5 q^{94} - 135 q^{95} - 145 q^{96} + 27 q^{97} + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.906431	−	1.00669i	−0.640943	−	0.711840i	0.331897	−	0.943316i	$-0.392311\pi$
$2$	−0.906431	−	1.00669i	−0.640943	−	0.711840i	−0.972841	+	0.231476i	$0.925645\pi$
$3$	1.04844	−	1.37868i	0.605318	−	0.795984i
$3$	1.04844	−	1.37868i	0.605318	−	0.795984i
$4$	0.0172421	−	0.164047i	0.00862104	−	0.0820237i
$5$	2.90247	+	2.61340i	1.29803	+	1.16875i	0.974962	+	0.222370i	$0.0713793\pi$
$5$	2.90247	+	2.61340i	1.29803	+	1.16875i	0.323063	+	0.946377i	$0.395287\pi$
$6$	−2.33825	+	0.194222i	−0.954588	+	0.0792910i
$7$	−0.686294	−	1.54144i	−0.259395	−	0.582610i	0.736159	−	0.676809i	$-0.236638\pi$
$7$	−0.686294	−	1.54144i	−0.259395	−	0.582610i	−0.995553	+	0.0941987i	$0.969971\pi$
$8$	−2.37263	+	1.72381i	−0.838850	+	0.609461i
$9$	−0.801540	−	2.89094i	−0.267180	−	0.963647i
$10$		−	5.29077i		−	1.67309i
$11$	−3.27037	+	0.552005i	−0.986052	+	0.166436i
$11$	−3.27037	+	0.552005i	−0.986052	+	0.166436i
$12$	−0.208092	−	0.195766i	−0.0600711	−	0.0565126i
$13$	0.329720	+	1.55121i	0.0914479	+	0.430229i	0.999924	+	0.0122928i	$0.00391302\pi$
$13$	0.329720	+	1.55121i	0.0914479	+	0.430229i	−0.908476	+	0.417936i	$0.862754\pi$
$14$	−0.929682	+	2.08810i	−0.248468	+	0.558068i
$15$	6.64613	−	1.26160i	1.71602	−	0.325743i
$16$	3.56328	+	0.757399i	0.890821	+	0.189350i
$17$	1.06483	+	3.27721i	0.258259	+	0.794840i	0.993170	+	0.116676i	$0.0372240\pi$
$17$	1.06483	+	3.27721i	0.258259	+	0.794840i	−0.734911	+	0.678164i	$0.762776\pi$
$18$	−2.18375	+	3.42734i	−0.514715	+	0.807832i
$19$	−0.586799	−	0.807660i	−0.134621	−	0.185290i	0.736384	−	0.676563i	$-0.236532\pi$
$19$	−0.586799	−	0.807660i	−0.134621	−	0.185290i	−0.871005	+	0.491274i	$0.836532\pi$
$20$	0.478766	−	0.431083i	0.107055	−	0.0963931i
$21$	−2.84470	−	0.669929i	−0.620765	−	0.146191i
$22$	3.52006	+	2.79190i	0.750479	+	0.595235i
$23$	−2.12544	+	1.22712i	−0.443185	+	0.255873i	−0.704948	−	0.709259i	$-0.749030\pi$
$23$	−2.12544	+	1.22712i	−0.443185	+	0.255873i	0.261763	+	0.965132i	$0.415696\pi$
$24$	−0.110966	+	5.07842i	−0.0226508	+	1.03663i
$25$	1.07186	+	10.1980i	0.214371	+	2.03961i
$26$	1.26273	−	1.73799i	0.247641	−	0.340849i
$27$	−4.82606	−	1.92591i	−0.928776	−	0.370642i
$28$	−0.264703	+	0.0860072i	−0.0500241	+	0.0162538i
$29$	7.98760	−	3.55631i	1.48326	−	0.660390i	0.504131	−	0.863627i	$-0.331813\pi$
$29$	7.98760	−	3.55631i	1.48326	−	0.660390i	0.979130	+	0.203237i	$0.0651461\pi$
$30$	−7.29430	−	5.54706i	−1.33175	−	1.01275i
$31$	−2.26385	+	0.481196i	−0.406600	+	0.0864254i	−0.406671	−	0.913575i	$-0.633311\pi$
$31$	−2.26385	+	0.481196i	−0.406600	+	0.0864254i	7.15846e−5		1.00000i	$0.499977\pi$
$32$	0.465328	+	0.805971i	0.0822591	+	0.142477i
$33$	−2.66775	+	5.08755i	−0.464395	+	0.885628i
$34$	2.33395	−	4.04252i	0.400269	−	0.693287i
$35$	2.03645	−	6.26756i	0.344223	−	1.05941i
$36$	−0.488071	+	0.0816447i	−0.0813452	+	0.0136075i
$37$	3.40567	+	2.47437i	0.559889	+	0.406783i	0.831418	−	0.555647i	$-0.187529\pi$
$37$	3.40567	+	2.47437i	0.559889	+	0.406783i	−0.271529	+	0.962430i	$0.587529\pi$
$38$	−0.281173	+	1.32281i	−0.0456123	+	0.214589i
$39$	2.48432	+	1.17178i	0.397810	+	0.187634i
$40$	−11.3915	−	1.19730i	−1.80115	−	0.189309i
$41$	−6.15240	−	2.73923i	−0.960844	−	0.427795i	−0.134470	−	0.990918i	$-0.542933\pi$
$41$	−6.15240	−	2.73923i	−0.960844	−	0.427795i	−0.826374	+	0.563122i	$0.809600\pi$
$42$	1.90411	+	3.47099i	0.293811	+	0.535585i
$43$	2.67142	+	1.54235i	0.407388	+	0.235206i	0.689667	−	0.724127i	$-0.257757\pi$
$43$	2.67142	+	1.54235i	0.407388	+	0.235206i	−0.282279	+	0.959332i	$0.591090\pi$
$44$	0.0341671	+	0.546013i	0.00515088	+	0.0823145i
$45$	5.22873	−	10.4856i	0.779453	−	1.56310i
$46$	3.16190	+	1.02736i	0.466197	+	0.151477i
$47$	−0.406253	+	0.0426989i	−0.0592581	+	0.00622827i	−0.134111	−	0.990966i	$-0.542818\pi$
$47$	−0.406253	+	0.0426989i	−0.0592581	+	0.00622827i	0.0748530	+	0.997195i	$0.476151\pi$
$48$	4.78011	−	4.11855i	0.689949	−	0.594462i
$49$	2.77887	−	3.08625i	0.396981	−	0.440892i
$50$	9.29473	−	10.3228i	1.31447	−	1.45987i
$51$	5.63465	+	1.96790i	0.789009	+	0.275561i
$52$	0.260157	−	0.0273436i	0.0360773	−	0.00379188i
$53$	−13.6265	−	4.42751i	−1.87174	−	0.608165i	−0.990873	−	0.134799i	$-0.956961\pi$
$53$	−13.6265	−	4.42751i	−1.87174	−	0.608165i	−0.880866	−	0.473366i	$-0.843039\pi$
$54$	2.43569	+	6.60407i	0.331455	+	0.898700i
$55$	−10.9348	−	6.94459i	−1.47444	−	0.936408i
$56$	4.28548	+	2.47422i	0.572672	+	0.330632i
$57$	−1.72873	−	0.0377735i	−0.228976	−	0.00500323i
$58$	−10.8203	−	4.81752i	−1.42078	−	0.632571i
$59$	−2.92039	−	0.306945i	−0.380202	−	0.0399609i	−0.0875001	−	0.996165i	$-0.527888\pi$
$59$	−2.92039	−	0.306945i	−0.380202	−	0.0399609i	−0.292702	+	0.956204i	$0.594554\pi$
$60$	−0.0923688	−	1.11203i	−0.0119248	−	0.143563i
$61$	1.62092	−	7.62581i	0.207537	−	0.976385i	−0.743840	−	0.668357i	$-0.766998\pi$
$61$	1.62092	−	7.62581i	0.207537	−	0.976385i	0.951377	−	0.308028i	$-0.0996690\pi$
$62$	2.53644	+	1.84283i	0.322128	+	0.234040i
$63$	−3.90613	+	3.21956i	−0.492126	+	0.405627i
$64$	2.64101	−	8.12819i	0.330126	−	1.01602i
$65$	−3.09693	+	5.36404i	−0.384127	+	0.665327i
$66$	7.53973	−	1.92590i	0.928076	−	0.237062i
$67$	3.94035	+	6.82489i	0.481391	+	0.833793i	0.999772	−	0.0213564i	$-0.00679847\pi$
$67$	3.94035	+	6.82489i	0.481391	+	0.833793i	−0.518381	+	0.855150i	$0.673465\pi$
$68$	0.555978	−	0.118177i	0.0674222	−	0.0143310i
$69$	−0.536585	+	4.21688i	−0.0645972	+	0.507652i
$70$	−8.15541	+	3.63102i	−0.974758	+	0.433990i
$71$	4.67741	−	1.51978i	0.555106	−	0.180365i	−0.0180117	−	0.999838i	$-0.505734\pi$
$71$	4.67741	−	1.51978i	0.555106	−	0.180365i	0.573118	+	0.819473i	$0.305734\pi$
$72$	6.88520	+	5.47742i	0.811429	+	0.645520i
$73$	−7.30535	+	10.0549i	−0.855026	+	1.17684i	0.127706	+	0.991812i	$0.459238\pi$
$73$	−7.30535	+	10.0549i	−0.855026	+	1.17684i	−0.982733	+	0.185031i	$0.940762\pi$
$74$	−0.596079	−	5.67131i	−0.0692928	−	0.659277i
$75$	15.1836	+	9.21429i	1.75326	+	1.06397i
$76$	−0.142612	+	0.0823371i	−0.0163587	+	0.00944472i
$77$	3.09532	+	4.66224i	0.352744	+	0.531312i
$78$	−1.07225	−	3.56309i	−0.121408	−	0.403440i
$79$	−0.236603	+	0.213038i	−0.0266199	+	0.0239687i	−0.682333	−	0.731041i	$-0.739035\pi$
$79$	−0.236603	+	0.213038i	−0.0266199	+	0.0239687i	0.655713	+	0.755010i	$0.272368\pi$
$80$	8.36295	+	11.5106i	0.935006	+	1.28693i
$81$	−7.71507	+	4.63441i	−0.857230	+	0.514934i
$82$	2.81917	+	8.67650i	0.311325	+	0.958160i
$83$	−7.96674	−	1.69338i	−0.874463	−	0.185873i	−0.251247	−	0.967923i	$-0.580841\pi$
$83$	−7.96674	−	1.69338i	−0.874463	−	0.185873i	−0.623216	+	0.782050i	$0.714174\pi$
$84$	−0.158949	+	0.455115i	−0.0173427	+	0.0496571i
$85$	−5.47402	+	12.2948i	−0.593740	+	1.33356i
$86$	−0.868789	−	4.08733i	−0.0936840	−	0.440748i
$87$	3.47151	−	14.7410i	0.372185	−	1.58040i
$88$	6.80781	−	6.94721i	0.725714	−	0.740575i
$89$			1.28794i			0.136522i	0.997668	+	0.0682609i	$0.0217450\pi$
$89$			1.28794i			0.136522i	−0.997668	+	0.0682609i	$0.978255\pi$
$90$	−15.2953	+	4.24076i	−1.61227	+	0.447015i
$91$	2.16482	−	1.57283i	0.226935	−	0.164878i
$92$	0.164659	+	0.369831i	0.0171669	+	0.0385576i
$93$	−1.71010	+	3.62564i	−0.177329	+	0.375962i
$94$	0.411225	+	0.370268i	0.0424146	+	0.0381903i
$95$	0.407568	−	3.87775i	0.0418156	−	0.397849i
$96$	1.59905	+	0.203474i	0.163202	+	0.0207670i
$97$	−4.38456	−	4.86954i	−0.445184	−	0.494427i	0.478229	−	0.878235i	$-0.341279\pi$
$97$	−4.38456	−	4.86954i	−0.445184	−	0.494427i	−0.923413	+	0.383808i	$0.874612\pi$
$98$	−5.62576			−0.568287
$99$	4.21714	+	9.01198i	0.423839	+	0.905738i
$100$	1.69144			0.169144
$101$	−2.80446	−	3.11467i	−0.279054	−	0.309921i	0.587282	−	0.809382i	$-0.300198\pi$
$101$	−2.80446	−	3.11467i	−0.279054	−	0.309921i	−0.866336	+	0.499461i	$0.833531\pi$
$102$	−3.12635	−	7.45613i	−0.309555	−	0.738267i
$103$	0.805320	−	7.66211i	0.0793506	−	0.754970i	−0.880422	−	0.474191i	$-0.842741\pi$
$103$	0.805320	−	7.66211i	0.0793506	−	0.754970i	0.959772	−	0.280779i	$-0.0905928\pi$
$104$	−3.45631	−	3.11207i	−0.338919	−	0.305164i
$105$	−6.50588	−	9.37879i	−0.634909	−	0.915276i
$106$	7.89431	+	17.7309i	0.766763	+	1.72218i
$107$	13.7773	−	10.0098i	1.33190	−	0.967680i	0.332197	−	0.943210i	$-0.392210\pi$
$107$	13.7773	−	10.0098i	1.33190	−	0.967680i	0.999701	−	0.0244703i	$-0.00778993\pi$
$108$	−0.399152	+	0.758496i	−0.0384084	+	0.0729863i
$109$		−	10.2383i		−	0.980650i	−0.871540	−	0.490325i	$-0.836878\pi$
$109$		−	10.2383i		−	0.980650i	0.871540	−	0.490325i	$-0.163122\pi$
$110$	2.92053	+	17.3027i	0.278461	+	1.64975i
$111$	6.98202	−	2.10112i	0.662704	−	0.199429i
$112$	−1.27797	−	6.01239i	−0.120757	−	0.568118i
$113$	0.282104	−	0.633615i	0.0265381	−	0.0596055i	−0.899790	−	0.436323i	$-0.856281\pi$
$113$	0.282104	−	0.633615i	0.0265381	−	0.0596055i	0.926328	+	0.376717i	$0.122947\pi$
$114$	1.52895	+	1.77454i	0.143199	+	0.166201i
$115$	−9.37600	−	1.99293i	−0.874316	−	0.185842i
$116$	−0.445681	−	1.37166i	−0.0413804	−	0.127356i
$117$	4.22018	−	2.19656i	0.390155	−	0.203072i
$118$	2.33813	+	3.21816i	0.215242	+	0.296256i
$119$	4.32084	−	3.89051i	0.396091	−	0.356642i
$120$	−13.5940	+	14.4500i	−1.24096	+	1.31910i
$121$	10.3906	−	3.61051i	0.944598	−	0.328229i
$122$	−9.14611	+	5.28051i	−0.828049	+	0.478075i
$123$	−10.2270	+	5.61030i	−0.922134	+	0.505864i
$124$	0.0399055	+	0.379676i	0.00358362	+	0.0340959i
$125$	−12.0620	+	16.6020i	−1.07886	+	1.48492i
$126$	6.78175	+	1.01396i	0.604166	+	0.0903307i
$127$	−8.33610	+	2.70856i	−0.739709	+	0.240346i	−0.654547	−	0.756021i	$-0.727141\pi$
$127$	−8.33610	+	2.70856i	−0.739709	+	0.240346i	−0.0851620	+	0.996367i	$0.527141\pi$
$128$	−8.87609	+	3.95189i	−0.784543	+	0.349301i
$129$	4.92724	−	2.06599i	0.433819	−	0.181900i
$130$	8.20710	−	1.74447i	0.719810	−	0.153000i
$131$	2.24980	+	3.89677i	0.196566	+	0.340462i	0.947413	−	0.320014i	$-0.103688\pi$
$131$	2.24980	+	3.89677i	0.196566	+	0.340462i	−0.750847	+	0.660476i	$0.770354\pi$
$132$	0.788601	+	0.525357i	0.0686389	+	0.0457265i
$133$	−0.842244	+	1.45881i	−0.0730318	+	0.126495i
$134$	3.29892	−	10.1530i	0.284983	−	0.877088i
$135$	−8.97434	−	18.2023i	−0.772388	−	1.56661i
$136$	−8.17575	−	5.94003i	−0.701065	−	0.509353i
$137$	0.614701	−	2.89194i	0.0525175	−	0.247075i	−0.944056	−	0.329784i	$-0.893024\pi$
$137$	0.614701	−	2.89194i	0.0525175	−	0.247075i	0.996574	+	0.0827091i	$0.0263572\pi$
$138$	4.73148	−	3.28213i	0.402770	−	0.279394i
$139$	14.4908	+	1.52304i	1.22909	+	0.129183i	0.696730	−	0.717333i	$-0.254637\pi$
$139$	14.4908	+	1.52304i	1.22909	+	0.129183i	0.532363	+	0.846516i	$0.321304\pi$
$140$	−0.993064	−	0.442140i	−0.0839292	−	0.0373677i
$141$	−0.367064	+	0.604861i	−0.0309124	+	0.0509385i
$142$	−5.76971	−	3.33114i	−0.484183	−	0.279543i
$143$	−1.93458	−	4.89102i	−0.161778	−	0.409008i
$144$	−0.666518	−	10.9083i	−0.0555431	−	0.909027i
$145$	32.4779	+	10.5527i	2.69714	+	0.876354i
$146$	16.7440	−	1.75987i	1.38575	−	0.145648i
$147$	−1.34148	−	7.06693i	−0.110643	−	0.582871i
$148$	0.464634	−	0.516029i	0.0381927	−	0.0424173i
$149$	−6.45839	+	7.17277i	−0.529092	+	0.587616i	−0.947145	−	0.320807i	$-0.896046\pi$
$149$	−6.45839	+	7.17277i	−0.529092	+	0.587616i	0.418053	+	0.908423i	$0.362713\pi$
$150$	−4.48696	−	23.6374i	−0.366358	−	1.92999i
$151$	0.898474	−	0.0944334i	0.0731168	−	0.00768488i	−0.0678994	−	0.997692i	$-0.521630\pi$
$151$	0.898474	−	0.0944334i	0.0731168	−	0.00768488i	0.141016	+	0.990007i	$0.454963\pi$
$152$	2.78451	+	0.904742i	0.225854	+	0.0733843i
$153$	8.62071	−	5.70517i	0.696943	−	0.461236i
$154$	1.88776	−	7.34204i	0.152120	−	0.591638i
$155$	−7.82833	−	4.51969i	−0.628786	−	0.363030i
$156$	0.235062	−	0.387343i	0.0188200	−	0.0310123i
$157$	−11.4648	−	5.10447i	−0.914993	−	0.407381i	−0.105439	−	0.994426i	$-0.533625\pi$
$157$	−11.4648	−	5.10447i	−0.914993	−	0.407381i	−0.809555	+	0.587045i	$0.800291\pi$
$158$	0.428929	+	0.0450822i	0.0341237	+	0.00358655i
$159$	−20.3907	+	14.1446i	−1.61709	+	1.12174i
$160$	−0.755723	+	3.55540i	−0.0597451	+	0.281079i
$161$	3.35022	+	2.43408i	0.264034	+	0.191832i
$162$	11.6586	+	3.56594i	0.915986	+	0.280167i
$163$	−3.14477	+	9.67860i	−0.246317	+	0.758086i	0.749100	+	0.662457i	$0.230486\pi$
$163$	−3.14477	+	9.67860i	−0.246317	+	0.758086i	−0.995417	+	0.0956292i	$0.969514\pi$
$164$	−0.555443	+	0.962056i	−0.0433728	+	0.0751239i
$165$	−21.0389	+	7.79458i	−1.63787	+	0.606807i
$166$	5.51658	+	9.55500i	0.428170	+	0.741612i
$167$	19.9002	−	4.22992i	1.53992	−	0.327321i	0.641734	−	0.766928i	$-0.278215\pi$
$167$	19.9002	−	4.22992i	1.53992	−	0.327321i	0.898190	+	0.439607i	$0.144882\pi$
$168$	7.90425	−	3.31425i	0.609826	−	0.255700i
$169$	9.57855	−	4.26464i	0.736811	−	0.328050i
$170$	17.3390	−	5.63377i	1.32984	−	0.432090i
$171$	−1.86455	+	2.34377i	−0.142586	+	0.179233i
$172$	0.299079	−	0.411647i	0.0228045	−	0.0313878i
$173$	−0.115490	−	1.09882i	−0.00878057	−	0.0835415i	0.989254	−	0.146207i	$-0.0467065\pi$
$173$	−0.115490	−	1.09882i	−0.00878057	−	0.0835415i	−0.998035	+	0.0626655i	$0.980040\pi$
$174$	−17.9863	+	9.86692i	−1.36354	+	0.748009i
$175$	14.9841	−	8.65106i	1.13269	−	0.653958i
$176$	−12.0713	−	0.510023i	−0.909910	−	0.0384444i
$177$	−3.48504	+	3.70448i	−0.261952	+	0.278446i
$178$	1.29656	−	1.16743i	0.0971816	−	0.0875027i
$179$	−3.92814	−	5.40662i	−0.293603	−	0.404110i	0.636577	−	0.771213i	$-0.280350\pi$
$179$	−3.92814	−	5.40662i	−0.293603	−	0.404110i	−0.930180	+	0.367103i	$0.880350\pi$
$180$	−1.62998	−	1.03855i	−0.121492	−	0.0774092i
$181$	1.37707	+	4.23818i	0.102357	+	0.315021i	0.989101	−	0.147239i	$-0.0470386\pi$
$181$	1.37707	+	4.23818i	0.102357	+	0.315021i	−0.886744	+	0.462260i	$0.847039\pi$
$182$	−3.54562	−	0.753645i	−0.262819	−	0.0558639i
$183$	−8.81415	−	10.2300i	−0.651561	−	0.756220i
$184$	2.92754	−	6.57537i	0.215821	−	0.484743i
$185$	3.41837	+	16.0822i	0.251324	+	1.18238i
$186$	5.20000	−	1.56485i	0.381282	−	0.114740i
$187$	−5.29142	−	10.1299i	−0.386947	−	0.740770i
$188$			0.0673809i			0.00491426i
$189$	0.343416	+	8.76084i	0.0249798	+	0.637257i
$190$	−4.27314	+	3.10462i	−0.310006	+	0.225233i
$191$	7.94230	+	17.8387i	0.574685	+	1.29076i	0.933909	+	0.357512i	$0.116375\pi$
$191$	7.94230	+	17.8387i	0.574685	+	1.29076i	−0.359224	+	0.933251i	$0.616959\pi$
$192$	−8.43726	−	12.1630i	−0.608907	−	0.877792i
$193$	11.3855	+	10.2516i	0.819549	+	0.737925i	0.967988	−	0.250996i	$-0.0807582\pi$
$193$	11.3855	+	10.2516i	0.819549	+	0.737925i	−0.148439	+	0.988922i	$0.547425\pi$
$194$	−0.927840	+	8.82781i	−0.0666150	+	0.633800i
$195$	4.14837	+	9.89357i	0.297071	+	0.708494i
$196$	−0.458377	−	0.509080i	−0.0327412	−	0.0363628i
$197$	−12.2318			−0.871483			−0.435742	−	0.900072i	$-0.643514\pi$
$197$	−12.2318			−0.871483			−0.435742	+	0.900072i	$0.643514\pi$
$198$	5.24975	−	12.4141i	0.373084	−	0.882232i
$199$	−19.2817			−1.36684			−0.683422	−	0.730024i	$-0.739509\pi$
$199$	−19.2817			−1.36684			−0.683422	+	0.730024i	$0.739509\pi$
$200$	−20.1226	−	22.3484i	−1.42288	−	1.58027i
$201$	13.5406	+	1.72300i	0.955080	+	0.121531i
$202$	−0.593467	+	5.64646i	−0.0417562	+	0.397284i
$203$	−10.9637	−	9.87176i	−0.769501	−	0.692861i
$204$	0.419982	−	0.890419i	0.0294046	−	0.0623418i
$205$	−10.6985	−	24.0292i	−0.747215	−	1.67827i
$206$	−8.44337	+	6.13446i	−0.588277	+	0.427408i
$207$	5.25116	+	5.16093i	0.364981	+	0.358710i
$208$			5.77714i			0.400572i
$209$	2.36488	+	2.31743i	0.163582	+	0.160300i
$210$	−3.54444	+	15.0507i	−0.244590	+	1.03859i
$211$	0.208421	+	0.980545i	0.0143483	+	0.0675035i	0.984739	−	0.174036i	$-0.0556810\pi$
$211$	0.208421	+	0.980545i	0.0143483	+	0.0675035i	−0.970391	+	0.241540i	$0.922348\pi$
$212$	−0.961270	+	2.15905i	−0.0660203	+	0.148284i
$213$	2.80869	−	8.04208i	0.192448	−	0.551034i
$214$	−22.5649	−	4.79632i	−1.54250	−	0.327869i
$215$	3.72297	+	11.4581i	0.253904	+	0.781437i
$216$	14.7704	−	3.74976i	1.00500	−	0.255139i
$217$	2.29540	+	3.15935i	0.155822	+	0.214471i
$218$	−10.3068	+	9.28030i	−0.698066	+	0.628541i
$219$	6.20337	+	20.6138i	0.419185	+	1.39295i
$220$	−1.32778	+	1.67408i	−0.0895189	+	0.112866i
$221$	−4.73255	+	2.73234i	−0.318346	+	0.183797i
$222$	−8.44390	−	5.12424i	−0.566718	−	0.343916i
$223$	1.16889	+	11.1213i	0.0782749	+	0.744736i	0.961317	+	0.275443i	$0.0888245\pi$
$223$	1.16889	+	11.1213i	0.0782749	+	0.744736i	−0.883043	+	0.469293i	$0.844509\pi$
$224$	0.923006	−	1.27041i	0.0616709	−	0.0848828i
$225$	28.6228	−	11.2728i	1.90818	−	0.751520i
$226$	−0.893564	+	0.290336i	−0.0594390	+	0.0193129i
$227$	8.13632	−	3.62252i	0.540027	−	0.240435i	−0.118551	−	0.992948i	$-0.537825\pi$
$227$	8.13632	−	3.62252i	0.540027	−	0.240435i	0.658578	+	0.752513i	$0.271158\pi$
$228$	−0.0360036	+	0.282943i	−0.00238440	+	0.0187383i
$229$	5.35700	−	1.13867i	0.354001	−	0.0752452i	−0.0274790	−	0.999622i	$-0.508748\pi$
$229$	5.35700	−	1.13867i	0.354001	−	0.0752452i	0.381480	+	0.924377i	$0.375415\pi$
$230$	6.49242	+	11.2452i	0.428098	+	0.741487i
$231$	9.67302	+	0.620625i	0.636438	+	0.0408341i
$232$	−12.8212	+	22.2069i	−0.841752	+	1.45796i
$233$	−5.39200	+	16.5949i	−0.353241	+	1.08717i	0.603781	+	0.797151i	$0.293660\pi$
$233$	−5.39200	+	16.5949i	−0.353241	+	1.08717i	−0.957022	+	0.290015i	$0.906340\pi$
$234$	−6.03656	−	2.25739i	−0.394622	−	0.147571i
$235$	−1.29073	−	0.937768i	−0.0841977	−	0.0611732i
$236$	−0.100707	+	0.473790i	−0.00655548	+	0.0308411i
$237$	0.0456481	+	0.549559i	0.00296516	+	0.0356977i
$238$	−7.83309	−	0.823291i	−0.507744	−	0.0533660i
$239$	16.3362	+	7.27336i	1.05670	+	0.470475i	0.860162	−	0.510021i	$-0.170362\pi$
$239$	16.3362	+	7.27336i	1.05670	+	0.470475i	0.196542	+	0.980495i	$0.437029\pi$
$240$	24.6376	+	0.538341i	1.59035	+	0.0347498i
$241$	−8.21324	−	4.74191i	−0.529061	−	0.305454i	0.211573	−	0.977362i	$-0.432141\pi$
$241$	−8.21324	−	4.74191i	−0.529061	−	0.305454i	−0.740634	+	0.671909i	$0.765475\pi$
$242$	−13.0530	−	7.18745i	−0.839080	−	0.462027i
$243$	−1.69942	+	15.4955i	−0.109018	+	0.994040i
$244$	−1.22305	−	0.397392i	−0.0782976	−	0.0254404i
$245$	16.1312	−	1.69546i	1.03058	−	0.108319i
$246$	14.9179	+	5.21007i	0.951130	+	0.332182i
$247$	1.05937	−	1.17655i	0.0674062	−	0.0748622i
$248$	4.54178	−	5.04416i	0.288403	−	0.320304i
$249$	−10.6873	+	9.20820i	−0.677280	+	0.583546i
$250$	27.6465	−	2.90576i	1.74852	−	0.183777i
$251$	−11.5180	−	3.74243i	−0.727010	−	0.236220i	−0.0779500	−	0.996957i	$-0.524837\pi$
$251$	−11.5180	−	3.74243i	−0.727010	−	0.236220i	−0.649060	+	0.760737i	$0.724837\pi$
$252$	0.460811	+	0.696302i	0.0290284	+	0.0438629i
$253$	6.27359	−	5.18639i	0.394417	−	0.326066i
$254$	10.2828	+	5.93677i	0.645200	+	0.372506i
$255$	11.2115	+	20.4374i	0.702092	+	1.27984i
$256$	−3.59129	−	1.59895i	−0.224456	−	0.0999341i
$257$	16.7898	+	1.76468i	1.04732	+	0.110078i	0.612525	−	0.790451i	$-0.290154\pi$
$257$	16.7898	+	1.76468i	1.04732	+	0.110078i	0.434795	+	0.900529i	$0.356821\pi$
$258$	−6.54602	−	3.08754i	−0.407537	−	0.192222i
$259$	1.47680	−	6.94779i	0.0917638	−	0.431715i
$260$	0.826560	+	0.600531i	0.0512611	+	0.0372433i
$261$	−16.6835	−	20.2412i	−1.03268	−	1.25290i
$262$	1.88356	−	5.79701i	0.116367	−	0.358140i
$263$	13.3494	−	23.1218i	0.823157	−	1.42575i	−0.0801626	−	0.996782i	$-0.525544\pi$
$263$	13.3494	−	23.1218i	0.823157	−	1.42575i	0.903320	−	0.428968i	$-0.141123\pi$
$264$	−2.44042	−	16.6696i	−0.150197	−	1.02594i
$265$	−27.9796	−	48.4621i	−1.71877	−	2.97700i
$266$	2.23201	−	0.474428i	0.136853	−	0.0290891i
$267$	1.77567	+	1.35033i	0.108669	+	0.0826391i
$268$	1.18755	−	0.528730i	0.0725409	−	0.0322973i
$269$	5.68811	−	1.84818i	0.346810	−	0.112685i	−0.130432	−	0.991457i	$-0.541636\pi$
$269$	5.68811	−	1.84818i	0.346810	−	0.112685i	0.477242	+	0.878772i	$0.341636\pi$
$270$	−10.1896	+	25.5336i	−0.620116	+	1.55392i
$271$	−6.05881	+	8.33923i	−0.368046	+	0.506572i	−0.952369	−	0.304949i	$-0.901360\pi$
$271$	−6.05881	+	8.33923i	−0.368046	+	0.506572i	0.584322	+	0.811522i	$0.301360\pi$
$272$	1.31213	+	12.4841i	0.0795599	+	0.756962i
$273$	0.101247	−	4.63362i	0.00612773	−	0.280440i
$274$	−3.46848	+	2.00253i	−0.209539	+	0.120977i
$275$	−9.13472	−	32.7596i	−0.550845	−	1.97548i
$276$	0.682516	+	0.160733i	0.0410826	+	0.00967499i
$277$	−5.85633	+	5.27307i	−0.351873	+	0.316828i	−0.826045	−	0.563605i	$-0.809414\pi$
$277$	−5.85633	+	5.27307i	−0.351873	+	0.316828i	0.474172	+	0.880432i	$0.342748\pi$
$278$	−11.6017	−	15.9683i	−0.695822	−	0.957717i
$279$	3.20568	+	6.15896i	0.191919	+	0.368727i
$280$	5.97236	+	18.3810i	0.356917	+	1.09848i
$281$	−12.0494	−	2.56118i	−0.718808	−	0.152787i	−0.166036	−	0.986120i	$-0.553097\pi$
$281$	−12.0494	−	2.56118i	−0.718808	−	0.152787i	−0.552772	+	0.833332i	$0.686430\pi$
$282$	0.941628	−	0.178744i	0.0560732	−	0.0106441i
$283$	−8.78163	+	19.7239i	−0.522013	+	1.17246i	0.439635	+	0.898177i	$0.355108\pi$
$283$	−8.78163	+	19.7239i	−0.522013	+	1.17246i	−0.961648	+	0.274285i	$0.911559\pi$
$284$	−0.168668	−	0.793521i	−0.0100086	−	0.0470868i
$285$	−4.91888	−	4.62750i	−0.291369	−	0.274110i
$286$	−3.17020	+	6.38091i	−0.187458	+	0.377311i
$287$			11.3635i			0.670766i
$288$	1.95704	−	1.99125i	0.115319	−	0.117336i
$289$	4.14705	−	3.01300i	0.243944	−	0.177236i
$290$	−18.8156	−	42.2605i	−1.10489	−	2.48162i
$291$	−11.3105	+	0.939486i	−0.663034	+	0.0550736i
$292$	1.52353	+	1.37179i	0.0891578	+	0.0802780i
$293$	2.29116	−	21.7989i	0.133851	−	1.27351i	−0.697025	−	0.717047i	$-0.745493\pi$
$293$	2.29116	−	21.7989i	0.133851	−	1.27351i	0.830875	−	0.556458i	$-0.187840\pi$
$294$	−5.89828	+	7.75614i	−0.343995	+	0.452348i
$295$	−7.67418	−	8.52304i	−0.446808	−	0.496231i
$296$	−12.3457			−0.717582
$297$	16.8461	+	3.63443i	0.977510	+	0.210891i
$298$	13.0749			0.757406
$299$	−2.60433	−	2.89240i	−0.150612	−	0.167272i
$300$	1.77338	−	2.33196i	0.102386	−	0.134636i
$301$	0.544056	−	5.17635i	0.0313589	−	0.298360i
$302$	−0.909470	−	0.818891i	−0.0523341	−	0.0471219i
$303$	−7.23445	+	0.600916i	−0.415609	+	0.0345217i
$304$	−1.47921	−	3.32236i	−0.0848385	−	0.190550i
$305$	24.6340	−	17.8976i	1.41054	−	1.02481i
$306$	−13.5574	−	3.50707i	−0.775028	−	0.200486i
$307$			33.4161i			1.90716i	0.301141	+	0.953580i	$0.402632\pi$
$307$			33.4161i			1.90716i	−0.301141	+	0.953580i	$0.597368\pi$
$308$	0.818199	−	0.427392i	0.0466212	−	0.0243529i
$309$	−9.71930	−	9.14356i	−0.552912	−	0.520159i
$310$	2.54590	+	11.9775i	0.144597	+	0.680277i
$311$	0.192529	−	0.432427i	0.0109173	−	0.0245207i	−0.908005	−	0.418960i	$-0.862395\pi$
$311$	0.192529	−	0.432427i	0.0109173	−	0.0245207i	0.918922	+	0.394440i	$0.129061\pi$
$312$	−7.91430	+	1.50233i	−0.448059	+	0.0850526i
$313$	32.6424	+	6.93835i	1.84506	+	0.392179i	0.991638	−	0.129049i	$-0.0411925\pi$
$313$	32.6424	+	6.93835i	1.84506	+	0.392179i	0.853418	+	0.521228i	$0.174526\pi$
$314$	5.25344	+	16.1684i	0.296469	+	0.912437i
$315$	−19.7514	−	0.863566i	−1.11287	−	0.0486564i
$316$	0.0308689	+	0.0424874i	0.00173651	+	0.00239010i
$317$	6.16617	−	5.55204i	0.346326	−	0.311834i	−0.477548	−	0.878605i	$-0.658475\pi$
$317$	6.16617	−	5.55204i	0.346326	−	0.311834i	0.823875	+	0.566772i	$0.191808\pi$
$318$	32.7220	+	7.70606i	1.83496	+	0.432135i
$319$	−24.1593	+	16.0396i	−1.35266	+	0.898047i
$320$	28.9076	−	16.6898i	1.61599	−	0.932990i
$321$	0.644350	−	29.4891i	0.0359641	−	1.64592i
$322$	−0.586373	−	5.57896i	−0.0326773	−	0.310903i
$323$	2.02203	−	2.78308i	0.112509	−	0.154855i
$324$	0.627239	+	1.34554i	0.0348466	+	0.0747524i
$325$	−15.4659	+	5.02517i	−0.857893	+	0.278746i
$326$	12.5939	−	5.60716i	0.697511	−	0.310552i
$327$	−14.1154	−	10.7343i	−0.780582	−	0.593605i
$328$	19.3193	−	4.10644i	1.06673	−	0.226740i
$329$	0.344627	+	0.596911i	0.0189999	+	0.0329088i
$330$	26.9170	+	14.1144i	1.48173	+	0.776974i
$331$	1.23949	−	2.14685i	0.0681283	−	0.118002i	−0.829949	−	0.557839i	$-0.811631\pi$
$331$	1.23949	−	2.14685i	0.0681283	−	0.118002i	0.898077	+	0.439837i	$0.144964\pi$
$332$	−0.415158	+	1.27773i	−0.0227848	+	0.0701243i
$333$	4.42346	−	11.8289i	0.242404	−	0.648220i
$334$	−22.2964	−	16.1993i	−1.22000	−	0.886385i
$335$	−6.39939	+	30.1068i	−0.349636	+	1.64491i
$336$	−9.62907	−	4.54172i	−0.525309	−	0.247771i
$337$	−0.905128	−	0.0951328i	−0.0493055	−	0.00518221i	0.0798436	−	0.996807i	$-0.474558\pi$
$337$	−0.905128	−	0.0951328i	−0.0493055	−	0.00518221i	−0.129149	+	0.991625i	$0.541225\pi$
$338$	−12.9755	−	5.77706i	−0.705773	−	0.314230i
$339$	−0.577786	−	1.05324i	−0.0313810	−	0.0572042i
$340$	1.92255	+	1.10999i	0.104265	+	0.0601975i
$341$	7.13800	−	2.82334i	0.386544	−	0.152893i
$342$	4.04955	−	0.247434i	0.218974	−	0.0133797i
$343$	−17.8975	−	5.81526i	−0.966377	−	0.313995i
$344$	−8.99701	+	0.945624i	−0.485086	+	0.0509846i
$345$	−12.5778	+	10.8371i	−0.677166	+	0.583448i
$346$	−1.00149	+	1.11227i	−0.0538403	+	0.0597957i
$347$	3.86577	−	4.29337i	0.207525	−	0.230480i	−0.630393	−	0.776276i	$-0.717106\pi$
$347$	3.86577	−	4.29337i	0.207525	−	0.230480i	0.837918	+	0.545796i	$0.183773\pi$
$348$	−2.35836	−	0.823657i	−0.126421	−	0.0441527i
$349$	8.92136	−	0.937673i	0.477549	−	0.0501925i	0.137304	−	0.990529i	$-0.456156\pi$
$349$	8.92136	−	0.937673i	0.477549	−	0.0501925i	0.340246	+	0.940337i	$0.389490\pi$
$350$	−22.2910	−	7.24278i	−1.19150	−	0.387143i
$351$	1.39625	−	8.12125i	0.0745262	−	0.433481i
$352$	−1.96669	−	2.37896i	−0.104825	−	0.126799i
$353$	23.8317	+	13.7593i	1.26843	+	0.732331i	0.974692	−	0.223553i	$-0.0717657\pi$
$353$	23.8317	+	13.7593i	1.26843	+	0.732331i	0.293743	+	0.955884i	$0.405099\pi$
$354$	6.88822	+	0.150511i	0.366105	+	0.00799955i
$355$	17.5479	+	7.81281i	0.931344	+	0.414661i
$356$	0.211284	+	0.0222068i	0.0111980	+	0.00117696i
$357$	−0.833625	−	10.0360i	−0.0441201	−	0.531164i
$358$	−1.88222	+	8.85517i	−0.0994786	+	0.468010i
$359$	21.2144	+	15.4131i	1.11965	+	0.813475i	0.984156	−	0.177303i	$-0.0567373\pi$
$359$	21.2144	+	15.4131i	1.11965	+	0.813475i	0.135496	+	0.990778i	$0.456737\pi$
$360$	5.66943	+	33.8918i	0.298805	+	1.78626i
$361$	5.56334	−	17.1222i	0.292807	−	0.901169i
$362$	3.01833	−	5.22790i	0.158640	−	0.274772i
$363$	5.91616	−	18.1107i	0.310518	−	0.950568i
$364$	−0.220693	−	0.382252i	−0.0115675	−	0.0200354i
$365$	−47.4812	+	10.0924i	−2.48528	+	0.528262i
$366$	−2.30901	+	18.1459i	−0.120694	+	0.948501i
$367$	−0.958827	+	0.426898i	−0.0500504	+	0.0222839i	−0.431609	−	0.902061i	$-0.642054\pi$
$367$	−0.958827	+	0.426898i	−0.0500504	+	0.0222839i	0.381559	+	0.924345i	$0.375387\pi$
$368$	−8.50297	+	2.76278i	−0.443248	+	0.144020i
$369$	−2.98754	+	19.9818i	−0.155525	+	1.04021i
$370$	13.0913	−	18.0186i	0.680584	−	0.936744i
$371$	2.52702	+	24.0430i	0.131196	+	1.24825i
$372$	0.565292	+	0.343051i	0.0293090	+	0.0177864i
$373$	4.48913	−	2.59180i	0.232439	−	0.134198i	−0.379258	−	0.925291i	$-0.623821\pi$
$373$	4.48913	−	2.59180i	0.232439	−	0.134198i	0.611697	+	0.791093i	$0.290487\pi$
$374$	−5.40138	+	14.5089i	−0.279299	+	0.750236i
$375$	10.2425	+	34.0359i	0.528922	+	1.75761i
$376$	0.890281	−	0.801613i	0.0459128	−	0.0413400i
$377$	8.15027	+	11.2179i	0.419760	+	0.577750i
$378$	8.50820	−	8.28681i	0.437614	−	0.426227i
$379$	−4.74774	−	14.6120i	−0.243875	−	0.750570i	−0.995819	−	0.0913435i	$-0.970884\pi$
$379$	−4.74774	−	14.6120i	−0.243875	−	0.750570i	0.751945	−	0.659226i	$-0.229116\pi$
$380$	−0.629108	−	0.133721i	−0.0322725	−	0.00685974i
$381$	−5.00566	+	14.3326i	−0.256448	+	0.734282i
$382$	10.7590	−	24.1650i	0.550476	−	1.23639i
$383$	4.65835	+	21.9158i	0.238031	+	1.11985i	0.921050	+	0.389445i	$0.127333\pi$
$383$	4.65835	+	21.9158i	0.238031	+	1.11985i	−0.683019	+	0.730401i	$0.739333\pi$
$384$	−3.85766	+	16.3807i	−0.196860	+	0.835922i
$385$	−3.20022	+	21.6213i	−0.163098	+	1.10193i
$386$		−	20.7541i		−	1.05636i
$387$	2.31758	−	8.95917i	0.117809	−	0.455420i
$388$	−0.874435	+	0.635314i	−0.0443927	+	0.0322532i
$389$	1.63740	+	3.67766i	0.0830195	+	0.186465i	0.950285	−	0.311381i	$-0.100791\pi$
$389$	1.63740	+	3.67766i	0.0830195	+	0.186465i	−0.867266	+	0.497845i	$0.834125\pi$
$390$	6.19959	−	13.1440i	0.313928	−	0.665571i
$391$	−6.28477	−	5.65884i	−0.317835	−	0.286180i
$392$	−1.27310	+	12.1128i	−0.0643014	+	0.611787i
$393$	7.73119	+	0.983770i	0.389987	+	0.0496246i
$394$	11.0873	+	12.3137i	0.558571	+	0.620356i
$395$	−1.24349			−0.0625667
$396$	1.55110	−	0.536426i	0.0779459	−	0.0269564i
$397$	13.5591			0.680509			0.340255	−	0.940333i	$-0.389487\pi$
$397$	13.5591			0.680509			0.340255	+	0.940333i	$0.389487\pi$
$398$	17.4775	+	19.4108i	0.876069	+	0.972973i
$399$	1.12819	+	2.69066i	0.0564803	+	0.134702i
$400$	−3.90465	+	37.1503i	−0.195233	+	1.85751i
$401$	−19.4176	−	17.4837i	−0.969669	−	0.873094i	0.0222773	−	0.999752i	$-0.492908\pi$
$401$	−19.4176	−	17.4837i	−0.969669	−	0.873094i	−0.991946	+	0.126658i	$0.959575\pi$
$402$	−10.5391	−	15.1930i	−0.525642	−	0.757759i
$403$	−1.49288	−	3.35305i	−0.0743654	−	0.167027i
$404$	−0.559308	+	0.406361i	−0.0278266	+	0.0202172i
$405$	−34.5043	−	6.71131i	−1.71453	−	0.333488i
$406$			19.9851i			0.991846i
$407$	−12.5037	−	6.21214i	−0.619783	−	0.307924i
$408$	−16.7612	+	5.04400i	−0.829804	+	0.249715i
$409$	3.73420	+	17.5680i	0.184644	+	0.868683i	0.968747	+	0.248052i	$0.0797902\pi$
$409$	3.73420	+	17.5680i	0.184644	+	0.868683i	−0.784103	+	0.620631i	$0.786876\pi$
$410$	−14.4926	+	32.5509i	−0.715739	+	1.60758i
$411$	−3.34260	−	3.87951i	−0.164878	−	0.191362i
$412$	−1.24306	−	0.264222i	−0.0612414	−	0.0130173i
$413$	1.53111	+	4.71227i	0.0753409	+	0.231875i
$414$	0.435658	−	9.96434i	0.0214114	−	0.489721i
$415$	−18.6978	−	25.7353i	−0.917837	−	1.26329i
$416$	−1.09680	+	0.987567i	−0.0537752	+	0.0484194i
$417$	17.2926	−	18.3814i	0.846820	−	0.900142i
$418$	0.189338	−	4.48130i	0.00926084	−	0.219187i
$419$	−15.7742	+	9.10722i	−0.770618	+	0.444917i	−0.833095	−	0.553130i	$-0.813433\pi$
$419$	−15.7742	+	9.10722i	−0.770618	+	0.444917i	0.0624768	+	0.998046i	$0.480100\pi$
$420$	−1.65074	+	0.905563i	−0.0805479	+	0.0441869i
$421$	0.980447	+	9.32833i	0.0477841	+	0.454635i	0.992087	+	0.125556i	$0.0400715\pi$
$421$	0.980447	+	9.32833i	0.0477841	+	0.454635i	−0.944302	+	0.329079i	$0.893262\pi$
$422$	0.798189	−	1.09861i	0.0388552	−	0.0534796i
$423$	0.449068	+	1.14023i	0.0218344	+	0.0554398i
$424$	39.9627	−	12.9847i	1.94076	−	0.630592i
$425$	−32.2797	+	14.3719i	−1.56580	+	0.697138i
$426$	−10.6418	+	4.46209i	−0.515596	+	0.216189i
$427$	−12.8672	+	2.73500i	−0.622686	+	0.132356i
$428$	−1.40453	−	2.43271i	−0.0678904	−	0.117590i
$429$	−8.77147	−	2.46077i	−0.423491	−	0.118807i
$430$	8.16019	−	14.1339i	0.393519	−	0.681596i
$431$	12.1706	−	37.4573i	0.586238	−	1.80425i	−0.00800464	−	0.999968i	$-0.502548\pi$
$431$	12.1706	−	37.4573i	0.586238	−	1.80425i	0.594242	−	0.804286i	$-0.297452\pi$
$432$	−15.7379	−	10.5178i	−0.757192	−	0.506039i
$433$	−2.78063	−	2.02024i	−0.133628	−	0.0970867i	0.518963	−	0.854797i	$-0.326318\pi$
$433$	−2.78063	−	2.02024i	−0.133628	−	0.0970867i	−0.652591	+	0.757710i	$0.726318\pi$
$434$	1.09987	−	5.17450i	0.0527957	−	0.248384i
$435$	48.6000	−	33.7128i	2.33019	−	1.61641i
$436$	−1.67957	−	0.176529i	−0.0804366	−	0.00845423i
$437$	2.23830	+	0.996557i	0.107073	+	0.0476718i
$438$	15.1289	−	24.9299i	0.722885	−	1.19120i
$439$	−21.4594	−	12.3896i	−1.02420	−	0.591322i	−0.108882	−	0.994055i	$-0.534727\pi$
$439$	−21.4594	−	12.3896i	−1.02420	−	0.591322i	−0.915318	+	0.402733i	$0.868060\pi$
$440$	37.9153	−	2.37257i	1.80754	−	0.113108i
$441$	−11.1495	−	5.55980i	−0.530930	−	0.264752i
$442$	7.04036	+	2.28755i	0.334876	+	0.108808i
$443$	−19.1182	+	2.00940i	−0.908333	+	0.0954696i	−0.547159	−	0.837029i	$-0.684291\pi$
$443$	−19.1182	+	2.00940i	−0.908333	+	0.0954696i	−0.361174	+	0.932498i	$0.617624\pi$
$444$	−0.224299	−	1.18161i	−0.0106447	−	0.0560767i
$445$	−3.36591	+	3.73822i	−0.159559	+	0.177209i
$446$	10.1362	−	11.2574i	0.479963	−	0.533053i
$447$	3.11774	+	16.4243i	0.147464	+	0.776843i
$448$	−14.3416	+	1.50737i	−0.677579	+	0.0712164i
$449$	32.0208	+	10.4042i	1.51115	+	0.491003i	0.943248	−	0.332090i	$-0.107754\pi$
$449$	32.0208	+	10.4042i	1.51115	+	0.491003i	0.567906	+	0.823094i	$0.307754\pi$
$450$	−37.2928	−	18.5963i	−1.75800	−	0.876640i
$451$	21.6327	+	5.56212i	1.01864	+	0.261910i
$452$	−0.0990789	−	0.0572032i	−0.00466028	−	0.00269061i
$453$	0.811804	−	1.33772i	0.0381419	−	0.0628516i
$454$	−11.0218	−	4.90721i	−0.517278	−	0.230307i
$455$	10.3938	+	1.09243i	0.487267	+	0.0512139i
$456$	4.16675	−	2.89039i	0.195126	−	0.135355i
$457$	−0.193975	+	0.912579i	−0.00907375	+	0.0426886i	−0.982452	−	0.186518i	$-0.940280\pi$
$457$	−0.193975	+	0.912579i	−0.00907375	+	0.0426886i	0.973378	+	0.229206i	$0.0736131\pi$
$458$	−6.00204	−	4.36074i	−0.280457	−	0.203764i
$459$	1.17268	−	17.8668i	0.0547362	−	0.833950i
$460$	−0.488597	+	1.50375i	−0.0227809	+	0.0701125i
$461$	−8.86877	+	15.3612i	−0.413060	+	0.715441i	−0.995223	−	0.0976316i	$-0.968873\pi$
$461$	−8.86877	+	15.3612i	−0.413060	+	0.715441i	0.582163	+	0.813072i	$0.302207\pi$
$462$	−8.14314	−	10.3003i	−0.378853	−	0.479214i
$463$	−1.75510	−	3.03993i	−0.0815666	−	0.141278i	0.822356	−	0.568973i	$-0.192659\pi$
$463$	−1.75510	−	3.03993i	−0.0815666	−	0.141278i	−0.903923	+	0.427695i	$0.859326\pi$
$464$	31.1556	−	6.62234i	1.44636	−	0.307434i
$465$	−14.4388	+	6.05416i	−0.669582	+	0.280755i
$466$	21.5934	−	9.61401i	1.00030	−	0.445360i
$467$	−16.9674	+	5.51304i	−0.785157	+	0.255113i	−0.674041	−	0.738694i	$-0.735443\pi$
$467$	−16.9674	+	5.51304i	−0.785157	+	0.255113i	−0.111117	+	0.993807i	$0.535443\pi$
$468$	−0.287575	−	0.730182i	−0.0132932	−	0.0337527i
$469$	7.81594	−	10.7577i	0.360906	−	0.496745i
$470$	0.225910	+	2.14939i	0.0104204	+	0.0991439i
$471$	−19.0577	+	10.4546i	−0.878131	+	0.481724i
$472$	7.45811	−	4.30594i	0.343287	−	0.198197i
$473$	−9.58791	−	3.56940i	−0.440852	−	0.164121i
$474$	0.511861	−	0.544091i	0.0235106	−	0.0249909i
$475$	7.60757	−	6.84989i	0.349059	−	0.314295i
$476$	−0.563727	−	0.775904i	−0.0258384	−	0.0355635i
$477$	−1.87750	+	42.9421i	−0.0859649	+	1.96618i
$478$	−7.48563	−	23.0384i	−0.342385	−	1.05375i
$479$	−27.1647	−	5.77403i	−1.24119	−	0.263822i	−0.459886	−	0.887978i	$-0.652110\pi$
$479$	−27.1647	−	5.77403i	−1.24119	−	0.263822i	−0.781300	+	0.624156i	$0.785443\pi$
$480$	4.10944	+	4.76953i	0.187569	+	0.217698i
$481$	−2.71535	+	6.09877i	−0.123809	+	0.278080i
$482$	2.67108	+	12.5664i	0.121664	+	0.572385i
$483$	6.86833	−	2.06691i	0.312520	−	0.0940474i
$484$	−0.413140	−	1.76680i	−0.0187791	−	0.0803091i
$485$		−	25.5923i		−	1.16209i
$486$	17.1397	−	12.3349i	0.777471	−	0.559520i
$487$	24.9386	−	18.1190i	1.13008	−	0.821048i	0.144370	−	0.989524i	$-0.453884\pi$
$487$	24.9386	−	18.1190i	1.13008	−	0.821048i	0.985706	+	0.168476i	$0.0538845\pi$
$488$	9.29966	+	20.8874i	0.420976	+	0.945527i
$489$	10.0466	+	14.4831i	0.454324	+	0.654948i
$490$	−16.3286	−	14.7024i	−0.737652	−	0.664185i
$491$	−2.65878	+	25.2966i	−0.119989	+	1.14162i	0.754406	+	0.656408i	$0.227925\pi$
$491$	−2.65878	+	25.2966i	−0.119989	+	1.14162i	−0.874396	+	0.485214i	$0.838742\pi$
$492$	0.744021	+	1.77444i	0.0335431	+	0.0799979i
$493$	20.1602	+	22.3902i	0.907971	+	1.00840i
$494$	−2.14467			−0.0964934
$495$	−11.3118	+	37.1781i	−0.508425	+	1.67103i
$496$	−8.43120			−0.378572
$497$	−5.55274	−	6.16694i	−0.249074	−	0.276625i
$498$	18.9571	+	2.41224i	0.849489	+	0.108095i
$499$	0.697287	−	6.63424i	0.0312149	−	0.296990i	−0.967766	−	0.251851i	$-0.918961\pi$
$499$	0.697287	−	6.63424i	0.0312149	−	0.296990i	0.998981	−	0.0451381i	$-0.0143728\pi$
$500$	2.51553	+	2.26500i	0.112498	+	0.101294i
$501$	15.0325	−	31.8709i	0.671602	−	1.42389i
$502$	6.67280	+	14.9873i	0.297821	+	0.668918i
$503$	−15.1799	+	11.0288i	−0.676837	+	0.491751i	−0.872307	−	0.488959i	$-0.837377\pi$
$503$	−15.1799	+	11.0288i	−0.676837	+	0.491751i	0.195470	+	0.980710i	$0.437377\pi$
$504$	3.71785	−	14.3723i	0.165606	−	0.640191i
$505$		−	16.3694i		−	0.728429i
$506$	−10.9077	−	1.61447i	−0.484906	−	0.0717720i
$507$	4.16295	−	17.6770i	0.184883	−	0.785064i
$508$	0.300601	+	1.41422i	0.0133370	+	0.0627457i
$509$	14.4777	−	32.5174i	0.641712	−	1.44131i	−0.240591	−	0.970627i	$-0.577341\pi$
$509$	14.4777	−	32.5174i	0.641712	−	1.44131i	0.882303	−	0.470682i	$-0.155992\pi$
$510$	10.4117	−	29.8116i	0.461038	−	1.32008i
$511$	20.5127	+	4.36012i	0.907430	+	0.192880i
$512$	7.65048	+	23.5458i	0.338107	+	1.04059i
$513$	1.27645	+	5.02794i	0.0563565	+	0.221989i
$514$	−13.4423	−	18.5018i	−0.592915	−	0.816078i
$515$	22.3616	−	20.1345i	0.985369	−	0.887230i
$516$	−0.253964	−	0.843923i	−0.0111801	−	0.0371516i
$517$	1.30502	−	0.363894i	0.0573949	−	0.0160041i
$518$	−8.33292	+	4.81101i	−0.366127	+	0.211384i
$519$	−1.63601	−	0.992821i	−0.0718127	−	0.0435800i
$520$	−1.89875	−	18.0654i	−0.0832657	−	0.792221i
$521$	−10.5680	+	14.5456i	−0.462993	+	0.637255i	−0.975126	−	0.221651i	$-0.928856\pi$
$521$	−10.5680	+	14.5456i	−0.462993	+	0.637255i	0.512133	+	0.858906i	$0.328856\pi$
$522$	−5.25424	+	35.1423i	−0.229972	+	1.53814i
$523$	2.23249	−	0.725379i	0.0976199	−	0.0317186i	−0.259800	−	0.965662i	$-0.583657\pi$
$523$	2.23249	−	0.725379i	0.0976199	−	0.0317186i	0.357420	+	0.933944i	$0.383657\pi$
$524$	0.678046	−	0.301885i	0.0296206	−	0.0131879i
$525$	3.78285	−	29.7284i	0.165097	−	1.29745i
$526$	−35.3768	+	7.51958i	−1.54250	+	0.327869i
$527$	−3.98760	−	6.90672i	−0.173703	−	0.300862i
$528$	−13.3592	+	16.1078i	−0.581386	+	0.701003i
$529$	−8.48834	+	14.7022i	−0.369058	+	0.639227i
$530$	−23.4249	+	72.0944i	−1.01751	+	3.13158i
$531$	1.45345	+	8.68870i	0.0630743	+	0.377057i
$532$	0.224792	+	0.163321i	0.00974596	+	0.00708086i
$533$	2.22055	−	10.4469i	0.0961826	−	0.452504i
$534$	−0.250148	−	3.01154i	−0.0108249	−	0.130322i
$535$	66.1476	+	6.95240i	2.85981	+	0.300578i
$536$	−21.1138	−	9.40049i	−0.911979	−	0.406039i
$537$	−11.5725	−	0.252863i	−0.499388	−	0.0109118i
$538$	−7.01642	−	4.05093i	−0.302499	−	0.174648i
$539$	−7.38430	+	11.6271i	−0.318064	+	0.500815i
$540$	−3.14078	+	1.15837i	−0.135158	+	0.0498483i
$541$	−21.9200	−	7.12222i	−0.942412	−	0.306208i	−0.202784	−	0.979224i	$-0.564999\pi$
$541$	−21.9200	−	7.12222i	−0.942412	−	0.306208i	−0.739629	+	0.673015i	$0.764999\pi$
$542$	13.8869	−	1.45958i	0.596495	−	0.0626942i
$543$	7.28689	+	2.54494i	0.312710	+	0.109214i
$544$	−2.14584	+	2.38320i	−0.0920022	+	0.102179i
$545$	26.7567	−	29.7164i	1.14613	−	1.27291i
$546$	−4.75641	+	4.09814i	−0.203556	+	0.175384i
$547$	−28.8434	+	3.03156i	−1.23325	+	0.129620i	−0.698638	−	0.715475i	$-0.746210\pi$
$547$	−28.8434	+	3.03156i	−1.23325	+	0.129620i	−0.534615	+	0.845095i	$0.679544\pi$
$548$	−0.463817	−	0.150703i	−0.0198133	−	0.00643773i
$549$	−23.3450	+	1.42642i	−0.996340	+	0.0608781i
$550$	−24.6989	+	38.8902i	−1.05316	+	1.65828i
$551$	−7.55941	−	4.36443i	−0.322042	−	0.185931i
$552$	−5.99600	−	10.9301i	−0.255207	−	0.465214i
$553$	0.490766	+	0.218503i	0.0208695	+	0.00929169i
$554$	10.6167	+	1.11586i	0.451061	+	0.0474084i
$555$	25.7562	+	12.1484i	1.09329	+	0.515669i
$556$	0.499703	−	2.35092i	0.0211921	−	0.0997011i
$557$	−32.5226	−	23.6290i	−1.37803	−	1.00119i	−0.997061	−	0.0766055i	$-0.975592\pi$
$557$	−32.5226	−	23.6290i	−1.37803	−	1.00119i	−0.380965	−	0.924589i	$-0.624408\pi$
$558$	3.29446	−	8.80981i	0.139466	−	0.372949i
$559$	−1.51168	+	4.65248i	−0.0639374	+	0.196779i
$560$	12.0035	−	20.7907i	0.507240	−	0.878566i
$561$	−19.5137	−	3.32540i	−0.823867	−	0.140398i
$562$	8.34364	+	14.4516i	0.351955	+	0.609604i
$563$	19.2114	−	4.08350i	0.809662	−	0.172099i	0.215562	−	0.976490i	$-0.430842\pi$
$563$	19.2114	−	4.08350i	0.809662	−	0.172099i	0.594100	+	0.804391i	$0.297508\pi$
$564$	0.0928970	+	0.0706450i	0.00391167	+	0.00297469i
$565$	2.47469	−	1.10180i	0.104111	−	0.0463531i
$566$	27.8158	−	9.03791i	1.16919	−	0.379892i
$567$	12.4385	+	8.71177i	0.522367	+	0.365860i
$568$	−8.47793	+	11.6689i	−0.355726	+	0.489615i
$569$	−1.14919	−	10.9338i	−0.0481766	−	0.458370i	−0.991842	−	0.127470i	$-0.959314\pi$
$569$	−1.14919	−	10.9338i	−0.0481766	−	0.458370i	0.943666	−	0.330900i	$-0.107352\pi$
$570$	−0.199851	+	9.14632i	−0.00837083	+	0.383097i
$571$	−24.7616	+	14.2961i	−1.03624	+	0.598273i	−0.918766	−	0.394803i	$-0.870813\pi$
$571$	−24.7616	+	14.2961i	−1.03624	+	0.598273i	−0.117474	+	0.993076i	$0.537480\pi$
$572$	−0.835716	+	0.233032i	−0.0349430	+	0.00974355i
$573$	32.9210	+	7.75291i	1.37529	+	0.323883i
$574$	11.4396	−	10.3002i	0.477478	−	0.429923i
$575$	−14.7924	−	20.3600i	−0.616886	−	0.849071i
$576$	−25.6150	−	1.11993i	−1.06729	−	0.0466638i
$577$	3.11034	+	9.57264i	0.129485	+	0.398514i	0.994692	−	0.102902i	$-0.0328127\pi$
$577$	3.11034	+	9.57264i	0.129485	+	0.398514i	−0.865206	+	0.501416i	$0.832813\pi$
$578$	−6.79218	−	1.44372i	−0.282518	−	0.0600510i
$579$	26.0708	−	4.94887i	1.08346	−	0.205668i
$580$	2.29113	−	5.14596i	0.0951340	−	0.213674i
$581$	2.85728	+	13.4424i	0.118540	+	0.557686i
$582$	11.1980	+	10.5346i	0.464171	+	0.436675i
$583$	47.0075	+	6.95769i	1.94685	+	0.288158i
$584$		−	36.4497i		−	1.50830i
$585$	17.9894	+	4.65355i	0.743772	+	0.192401i
$586$	−24.0216	+	17.4527i	−0.992323	+	0.720965i
$587$	−11.5783	−	26.0053i	−0.477887	−	1.07335i	−0.978230	−	0.207525i	$-0.933459\pi$
$587$	−11.5783	−	26.0053i	−0.477887	−	1.07335i	0.500342	−	0.865828i	$-0.333207\pi$
$588$	−1.18244	+	0.0982173i	−0.0487631	+	0.00405041i
$589$	1.71707	+	1.54606i	0.0707506	+	0.0637041i
$590$	−1.62398	+	15.4511i	−0.0668580	+	0.636112i
$591$	−12.8244	+	16.8639i	−0.527524	+	0.693686i
$592$	10.2613	+	11.3963i	0.421737	+	0.468386i
$593$	19.0917			0.784000			0.392000	−	0.919965i	$-0.371783\pi$
$593$	19.0917			0.784000			0.392000	+	0.919965i	$0.371783\pi$
$594$	−11.6111	−	20.2532i	−0.476408	−	0.830999i
$595$	22.7086			0.930961
$596$	1.06532	+	1.18316i	0.0436371	+	0.0484639i
$597$	−20.2157	+	26.5834i	−0.827375	+	1.08798i
$598$	−0.551116	+	5.24352i	−0.0225368	+	0.214424i
$599$	25.2131	+	22.7020i	1.03018	+	0.927578i	0.997413	−	0.0718854i	$-0.0229016\pi$
$599$	25.2131	+	22.7020i	1.03018	+	0.927578i	0.0327664	+	0.999463i	$0.489568\pi$
$600$	−51.9089	+	4.31171i	−2.11917	+	0.176025i
$601$	3.16169	+	7.10126i	0.128968	+	0.289667i	0.966475	−	0.256759i	$-0.0826547\pi$
$601$	3.16169	+	7.10126i	0.128968	+	0.289667i	−0.837508	+	0.546426i	$0.815988\pi$
$602$	−5.70414	+	4.14430i	−0.232484	+	0.168909i
$603$	16.5720	−	16.8617i	0.674864	−	0.686663i
$604$		−	0.149021i		−	0.00606356i
$605$	39.5941	+	16.6753i	1.60973	+	0.677948i
$606$	7.16247	+	6.73819i	0.290956	+	0.273720i
$607$	−7.80259	−	36.7083i	−0.316697	−	1.48994i	−0.792218	−	0.610239i	$-0.791074\pi$
$607$	−7.80259	−	36.7083i	−0.316697	−	1.48994i	0.475520	−	0.879705i	$-0.342260\pi$
$608$	0.377896	−	0.848769i	0.0153257	−	0.0344221i
$609$	−25.1048	+	4.76551i	−1.01730	+	0.193108i
$610$	−40.3464	−	8.57589i	−1.63358	−	0.347228i
$611$	−0.200185	−	0.616105i	−0.00809861	−	0.0249250i
$612$	−0.787280	−	1.51258i	−0.0318239	−	0.0611422i
$613$	17.7522	+	24.4338i	0.717003	+	0.986871i	0.999618	+	0.0276371i	$0.00879827\pi$
$613$	17.7522	+	24.4338i	0.717003	+	0.986871i	−0.282615	+	0.959234i	$0.591202\pi$
$614$	33.6398	−	30.2894i	1.35759	−	1.22238i
$615$	−44.3454	−	10.4434i	−1.78818	−	0.421118i
$616$	−15.3809	−	5.72601i	−0.619713	−	0.230708i
$617$	2.02670	−	1.17012i	0.0815919	−	0.0471071i	−0.458649	−	0.888618i	$-0.651666\pi$
$617$	2.02670	−	1.17012i	0.0815919	−	0.0471071i	0.540241	+	0.841510i	$0.318333\pi$
$618$	−0.394889	+	18.0724i	−0.0158848	+	0.726977i
$619$	1.51173	+	14.3831i	0.0607614	+	0.578106i	0.981970	+	0.189037i	$0.0605366\pi$
$619$	1.51173	+	14.3831i	0.0607614	+	0.578106i	−0.921209	+	0.389069i	$0.872797\pi$
$620$	−0.876419	+	1.20629i	−0.0351979	+	0.0484457i
$621$	12.6208	−	1.82876i	0.506457	−	0.0733857i
$622$	−0.609836	+	0.198148i	−0.0244522	+	0.00794499i
$623$	1.98529	−	0.883909i	0.0795390	−	0.0354131i
$624$	7.96485	+	6.05699i	0.318849	+	0.242474i
$625$	−28.2466	+	6.00401i	−1.12987	+	0.240160i
$626$	−22.6033	−	39.1500i	−0.903408	−	1.56475i
$627$	5.67444	−	0.830735i	0.226615	−	0.0331764i
$628$	−1.03505	+	1.79276i	−0.0413031	+	0.0715391i
$629$	−4.48256	+	13.7959i	−0.178731	+	0.550078i
$630$	17.0340	+	20.6664i	0.678649	+	0.823369i
$631$	14.6365	+	10.6340i	0.582670	+	0.423334i	0.839686	−	0.543073i	$-0.182739\pi$
$631$	14.6365	+	10.6340i	0.582670	+	0.423334i	−0.257016	+	0.966407i	$0.582739\pi$
$632$	0.194132	−	0.913321i	0.00772217	−	0.0363299i
$633$	1.57038	+	0.740697i	0.0624170	+	0.0294401i
$634$	−11.1784	−	1.17490i	−0.443951	−	0.0466612i
$635$	−31.2739	−	13.9240i	−1.24107	−	0.552558i
$636$	1.96881	+	3.58892i	0.0780683	+	0.142310i
$637$	5.70367	+	3.29302i	0.225988	+	0.130474i
$638$	38.0457	+	9.78218i	1.50624	+	0.387280i
$639$	−8.14273	−	12.3039i	−0.322121	−	0.486737i
$640$	−36.0905	−	11.7265i	−1.42660	−	0.463531i
$641$	−27.6601	+	2.90720i	−1.09251	+	0.114827i	−0.633604	−	0.773658i	$-0.718425\pi$
$641$	−27.6601	+	2.90720i	−1.09251	+	0.114827i	−0.458906	+	0.888485i	$0.651758\pi$
$642$	−30.2706	+	26.0812i	−1.19468	+	1.02934i
$643$	−19.9504	+	22.1571i	−0.786765	+	0.873791i	−0.994537	−	0.104386i	$-0.966712\pi$
$643$	−19.9504	+	22.1571i	−0.786765	+	0.873791i	0.207772	+	0.978177i	$0.433379\pi$
$644$	0.457069	−	0.507626i	0.0180110	−	0.0200033i
$645$	19.7004	+	6.88037i	0.775703	+	0.270914i
$646$	−4.63454	+	0.487110i	−0.182344	+	0.0191651i
$647$	−28.8101	−	9.36098i	−1.13264	−	0.368018i	−0.318063	−	0.948069i	$-0.603032\pi$
$647$	−28.8101	−	9.36098i	−1.13264	−	0.368018i	−0.814580	+	0.580051i	$0.803032\pi$
$648$	10.3161	−	24.2951i	0.405256	−	0.954400i
$649$	9.72018	−	0.608246i	0.381550	−	0.0238757i
$650$	19.0776	+	11.0144i	0.748284	+	0.432022i
$651$	6.76235	+	0.147760i	0.265037	+	0.00579118i
$652$	1.53353	+	0.682770i	0.0600575	+	0.0267393i
$653$	−2.52867	−	0.265774i	−0.0989547	−	0.0104006i	0.0549217	−	0.998491i	$-0.482509\pi$
$653$	−2.52867	−	0.265774i	−0.0989547	−	0.0104006i	−0.153876	+	0.988090i	$0.549176\pi$
$654$	1.98851	+	23.9397i	0.0777567	+	0.936117i
$655$	−3.65382	+	17.1899i	−0.142767	+	0.671664i
$656$	−19.8481	−	14.4205i	−0.774937	−	0.563025i
$657$	34.9238	+	13.0599i	1.36251	+	0.509514i
$658$	0.288526	−	0.887992i	0.0112479	−	0.0346175i
$659$	15.1898	−	26.3094i	0.591709	−	1.02487i	−0.402293	−	0.915511i	$-0.631787\pi$
$659$	15.1898	−	26.3094i	0.591709	−	1.02487i	0.994002	−	0.109359i	$-0.0348798\pi$
$660$	0.915927	+	3.58576i	0.0356524	+	0.139576i
$661$	10.4304	+	18.0660i	0.405695	+	0.702684i	0.994402	−	0.105662i	$-0.0336962\pi$
$661$	10.4304	+	18.0660i	0.405695	+	0.702684i	−0.588707	+	0.808346i	$0.700363\pi$
$662$	−3.28473	+	0.698191i	−0.127665	+	0.0271360i
$663$	−1.19477	+	9.38939i	−0.0464011	+	0.364654i
$664$	21.8212	−	9.71541i	0.846826	−	0.377031i
$665$	−6.25704	+	2.03304i	−0.242638	+	0.0788377i
$666$	−15.9176	+	6.26901i	−0.616796	+	0.242919i
$667$	−12.6131	+	17.3605i	−0.488383	+	0.672201i
$668$	−0.350786	−	3.33751i	−0.0135723	−	0.129132i
$669$	16.5582	+	10.0485i	0.640179	+	0.388497i
$670$	36.1089	−	20.8475i	1.39501	−	0.805409i
$671$	−1.09150	+	25.8339i	−0.0421371	+	0.997309i
$672$	−0.783775	−	2.60448i	−0.0302348	−	0.100470i
$673$	−19.2078	+	17.2948i	−0.740407	+	0.666666i	−0.950398	−	0.311038i	$-0.899323\pi$
$673$	−19.2078	+	17.2948i	−0.740407	+	0.666666i	0.209990	+	0.977703i	$0.432657\pi$
$674$	0.724667	+	0.997418i	0.0279131	+	0.0384191i
$675$	14.4677	−	51.2806i	0.556861	−	1.97379i
$676$	−0.534450	−	1.64487i	−0.0205558	−	0.0632641i
$677$	−23.0145	−	4.89189i	−0.884519	−	0.188010i	−0.256814	−	0.966461i	$-0.582673\pi$
$677$	−23.0145	−	4.89189i	−0.884519	−	0.188010i	−0.627706	+	0.778451i	$0.716006\pi$
$678$	−0.536567	+	1.53634i	−0.0206067	+	0.0590029i
$679$	−4.49702	+	10.1005i	−0.172580	+	0.387621i
$680$	−8.20623	−	38.6073i	−0.314694	−	1.48052i
$681$	3.53614	−	15.0154i	0.135505	−	0.575392i
$682$	−9.31235	−	4.62661i	−0.356588	−	0.177162i
$683$			15.8548i			0.606667i	0.952885	+	0.303333i	$0.0980995\pi$
$683$			15.8548i			0.606667i	−0.952885	+	0.303333i	$0.901900\pi$
$684$	0.352341	+	0.346287i	0.0134721	+	0.0132406i
$685$	9.34195	−	6.78733i	0.356938	−	0.259330i
$686$	10.3687	+	23.2885i	0.395879	+	0.889158i
$687$	4.04665	−	8.57944i	0.154389	−	0.327326i
$688$	8.35086	+	7.51915i	0.318374	+	0.286665i
$689$	2.37508	−	22.5974i	0.0904833	−	0.860891i
$690$	22.3105	+	2.83894i	0.849347	+	0.108077i
$691$	−29.7572	−	33.0487i	−1.13202	−	1.25723i	−0.962375	−	0.271725i	$-0.912406\pi$
$691$	−29.7572	−	33.0487i	−1.13202	−	1.25723i	−0.169641	−	0.985506i	$-0.554261\pi$
$692$	−0.182249			−0.00692808
$693$	10.9972	−	12.6853i	0.417751	−	0.481877i
$694$	−7.82616			−0.297077
$695$	38.0788	+	42.2908i	1.44441	+	1.60418i
$696$	17.1741	+	40.9591i	0.650983	+	1.55255i
$697$	2.42576	−	23.0795i	0.0918821	−	0.874199i
$698$	−9.03055	−	8.13114i	−0.341811	−	0.307768i
$699$	17.2259	+	24.8326i	0.651543	+	0.939255i
$700$	−1.16083	−	2.60726i	−0.0438751	−	0.0985452i
$701$	8.65452	−	6.28787i	0.326877	−	0.237490i	−0.412228	−	0.911081i	$-0.635249\pi$
$701$	8.65452	−	6.28787i	0.326877	−	0.237490i	0.739104	+	0.673591i	$0.235249\pi$
$702$	−9.44122	+	5.95576i	−0.356336	+	0.224786i
$703$		−	4.20258i		−	0.158503i
$704$	−4.15026	+	28.0400i	−0.156419	+	1.05680i
$705$	−2.64614	+	0.796310i	−0.0996593	+	0.0299908i
$706$	−7.75046	−	36.4631i	−0.291692	−	1.37231i
$707$	−2.87640	+	6.46049i	−0.108178	+	0.242972i
$708$	0.547621	+	0.635585i	0.0205809	+	0.0238867i
$709$	−13.8086	−	2.93512i	−0.518594	−	0.110231i	−0.0588238	−	0.998268i	$-0.518735\pi$
$709$	−13.8086	−	2.93512i	−0.518594	−	0.110231i	−0.459771	+	0.888038i	$0.652068\pi$
$710$	−8.04082	−	24.7471i	−0.301766	−	0.928742i
$711$	0.805528	+	0.513247i	0.0302097	+	0.0192483i
$712$	−2.22018	−	3.05581i	−0.0832046	−	0.114521i
$713$	4.22119	−	3.80078i	0.158085	−	0.142340i
$714$	−9.34760	+	9.93619i	−0.349825	+	0.371852i
$715$	7.16712	−	19.2519i	0.268035	−	0.719980i
$716$	−0.954672	+	0.551180i	−0.0356778	+	0.0205986i
$717$	27.1553	−	14.8968i	1.01413	−	0.556332i
$718$	−3.71305	−	35.3273i	−0.138570	−	1.31840i
$719$	10.8420	−	14.9228i	0.404340	−	0.556526i	−0.557487	−	0.830186i	$-0.688234\pi$
$719$	10.8420	−	14.9228i	0.404340	−	0.556526i	0.961826	+	0.273660i	$0.0882343\pi$
$720$	26.5732	−	33.4030i	0.990327	−	1.24486i
$721$	−12.3634	+	4.01711i	−0.460437	+	0.149605i
$722$	−22.2796	+	9.91952i	−0.829161	+	0.369166i
$723$	−15.1487	+	6.35184i	−0.563386	+	0.236227i
$724$	0.719006	−	0.152829i	0.0267216	−	0.00567986i
$725$	44.8289	+	77.6460i	1.66490	+	2.88370i
$726$	−23.5946	+	10.4604i	−0.875676	+	0.388221i
$727$	24.4982	−	42.4322i	0.908589	−	1.57372i	0.0925628	−	0.995707i	$-0.470494\pi$
$727$	24.4982	−	42.4322i	0.908589	−	1.57372i	0.816026	−	0.578015i	$-0.196173\pi$
$728$	−2.42504	+	7.46349i	−0.0898778	+	0.276615i
$729$	19.5817	+	18.5891i	0.725249	+	0.688487i
$730$	53.1984	+	38.6509i	1.96896	+	1.43053i
$731$	−2.20998	+	10.3971i	−0.0817391	+	0.384552i
$732$	−1.83017	+	1.26955i	−0.0676451	+	0.0469240i
$733$	−44.3846	−	4.66501i	−1.63938	−	0.172306i	−0.760498	−	0.649340i	$-0.775045\pi$
$733$	−44.3846	−	4.66501i	−1.63938	−	0.172306i	−0.878885	+	0.477034i	$0.841712\pi$
$734$	1.29887	+	0.578292i	0.0479420	+	0.0213452i
$735$	14.5751	−	24.0174i	0.537611	−	0.885895i
$736$	−1.97805	−	1.14203i	−0.0729120	−	0.0420957i
$737$	−16.6538	−	20.1448i	−0.613449	−	0.742043i
$738$	22.8236	−	15.1046i	0.840147	−	0.556008i
$739$	−50.2357	−	16.3226i	−1.84795	−	0.600435i	−0.997193	−	0.0748757i	$-0.976144\pi$
$739$	−50.2357	−	16.3226i	−1.84795	−	0.600435i	−0.850757	−	0.525560i	$-0.823856\pi$
$740$	2.69718	−	0.283485i	0.0991502	−	0.0104211i
$741$	−0.511403	−	2.69408i	−0.0187869	−	0.0989697i
$742$	21.9133	−	24.3372i	0.804464	−	0.893448i
$743$	−1.90442	+	2.11507i	−0.0698663	+	0.0775944i	−0.777065	−	0.629421i	$-0.783292\pi$
$743$	−1.90442	+	2.11507i	−0.0698663	+	0.0775944i	0.707198	+	0.707015i	$0.249959\pi$
$744$	−2.19251	−	11.5502i	−0.0803813	−	0.423451i
$745$	−37.4906	+	3.94042i	−1.37355	+	0.144366i
$746$	−6.67824	−	2.16989i	−0.244508	−	0.0794454i
$747$	1.49019	+	24.3887i	0.0545232	+	0.892335i
$748$	−1.75302	+	0.693384i	−0.0640966	+	0.0253526i
$749$	−24.8847	−	14.3672i	−0.909268	−	0.524966i
$750$	24.9796	−	41.1623i	0.912126	−	1.50303i
$751$	40.6632	+	18.1044i	1.48382	+	0.660640i	0.979237	−	0.202721i	$-0.0649784\pi$
$751$	40.6632	+	18.1044i	1.48382	+	0.660640i	0.504586	+	0.863361i	$0.331645\pi$
$752$	−1.47993	−	0.155547i	−0.0539676	−	0.00567223i
$753$	−17.2356	+	11.9560i	−0.628099	+	0.435700i
$754$	3.90531	−	18.3731i	0.142223	−	0.669107i
$755$	2.85459	+	2.07398i	0.103889	+	0.0754799i
$756$	1.44311	+	0.0947186i	0.0524855	+	0.00344488i
$757$	−0.106679	+	0.328324i	−0.00387731	+	0.0119331i	−0.952976	−	0.303044i	$-0.901997\pi$
$757$	−0.106679	+	0.328324i	−0.00387731	+	0.0119331i	0.949099	+	0.314977i	$0.101997\pi$
$758$	−10.4063	+	18.0243i	−0.377975	+	0.654673i
$759$	−0.572909	−	14.0869i	−0.0207953	−	0.511323i
$760$	5.71752	+	9.90303i	0.207396	+	0.359221i
$761$	−1.54782	+	0.328999i	−0.0561084	+	0.0119262i	−0.235880	−	0.971782i	$-0.575797\pi$
$761$	−1.54782	+	0.328999i	−0.0561084	+	0.0119262i	0.179772	+	0.983708i	$0.442464\pi$
$762$	18.9658	−	7.95236i	0.687060	−	0.288084i
$763$	−15.7817	+	7.02648i	−0.571337	+	0.254376i
$764$	3.06333	−	0.995338i	0.110828	−	0.0360101i
$765$	39.9313	+	5.97025i	1.44372	+	0.215855i
$766$	17.8400	−	24.5547i	0.644587	−	0.887197i
$767$	−0.486774	−	4.63135i	−0.0175764	−	0.167228i
$768$	−5.96970	+	3.27485i	−0.215413	+	0.118171i
$769$	−36.6319	+	21.1494i	−1.32098	+	0.762668i	−0.983885	−	0.178803i	$-0.942778\pi$
$769$	−36.6319	+	21.1494i	−1.32098	+	0.762668i	−0.337095	+	0.941471i	$0.609444\pi$
$770$	24.6668	−	16.3766i	0.888931	−	0.590172i
$771$	20.0361	−	21.2977i	0.721582	−	0.767018i
$772$	1.87806	−	1.69101i	0.0675927	−	0.0608608i
$773$	−23.0998	−	31.7942i	−0.830843	−	1.14356i	−0.987765	−	0.155947i	$-0.950157\pi$
$773$	−23.0998	−	31.7942i	−0.830843	−	1.14356i	0.156922	−	0.987611i	$-0.449843\pi$
$774$	−11.1199	+	5.78778i	−0.399695	+	0.208037i
$775$	−7.33378	−	22.5711i	−0.263437	−	0.810776i
$776$	18.7971	+	3.99545i	0.674777	+	0.143428i
$777$	−8.03048	−	9.32040i	−0.288092	−	0.334367i
$778$	2.21809	−	4.98191i	0.0795223	−	0.178610i
$779$	1.39786	+	6.57642i	0.0500836	+	0.235625i
$780$	1.69454	−	0.509943i	0.0606743	−	0.0182589i
$781$	−14.4579	+	7.55220i	−0.517345	+	0.270239i
$782$			11.4562i			0.409672i
$783$	−45.3978	+	1.77955i	−1.62239	+	0.0635958i
$784$	12.2394	−	8.89246i	0.437122	−	0.317588i
$785$	−19.9364	−	44.7778i	−0.711559	−	1.59819i
$786$	−6.01744	−	8.67466i	−0.214635	−	0.309415i
$787$	−5.37504	−	4.83971i	−0.191600	−	0.172517i	0.567748	−	0.823203i	$-0.307815\pi$
$787$	−5.37504	−	4.83971i	−0.191600	−	0.172517i	−0.759347	+	0.650686i	$0.774482\pi$
$788$	−0.210902	+	2.00660i	−0.00751309	+	0.0714823i
$789$	−17.8816	−	42.6464i	−0.636602	−	1.51825i
$790$	1.12714	+	1.25181i	0.0401017	+	0.0445375i
$791$	−1.17029			−0.0416106
$792$	−25.5407	−	14.1125i	−0.907549	−	0.501466i
$793$	12.3637			0.439048
$794$	−12.2903	−	13.6498i	−0.436168	−	0.484414i
$795$	−96.1489	−	12.2347i	−3.41005	−	0.433918i
$796$	−0.332457	+	3.16311i	−0.0117836	+	0.112114i
$797$	−15.2427	−	13.7245i	−0.539922	−	0.486148i	0.353457	−	0.935451i	$-0.385006\pi$
$797$	−15.2427	−	13.7245i	−0.539922	−	0.486148i	−0.893380	+	0.449302i	$0.851673\pi$
$798$	1.68605	−	3.57465i	0.0596854	−	0.126541i
$799$	−0.572523	−	1.28591i	−0.0202544	−	0.0454922i
$800$	−7.72055	+	5.60931i	−0.272963	+	0.198319i
$801$	3.72337	−	1.03234i	0.131559	−	0.0364759i
$802$			35.3953i			1.24985i
$803$	18.3408	−	36.9159i	0.647232	−	1.30274i
$804$	0.516122	−	2.19159i	0.0182022	−	0.0772915i
$805$	3.36271	+	15.8203i	0.118520	+	0.557592i
$806$	−2.02231	+	4.54218i	−0.0712328	+	0.159991i
$807$	3.41559	−	9.77981i	0.120235	−	0.344266i
$808$	12.0230	+	2.55558i	0.422969	+	0.0899049i
$809$	10.5618	+	32.5059i	0.371333	+	1.14284i	0.945920	+	0.324401i	$0.105163\pi$
$809$	10.5618	+	32.5059i	0.371333	+	1.14284i	−0.574587	+	0.818444i	$0.694837\pi$
$810$	24.5196	+	40.8186i	0.861530	+	1.43422i
$811$	15.4749	+	21.2994i	0.543397	+	0.747922i	0.989098	−	0.147260i	$-0.0470455\pi$
$811$	15.4749	+	21.2994i	0.543397	+	0.747922i	−0.445701	+	0.895182i	$0.647045\pi$
$812$	−1.80847	+	1.62836i	−0.0634650	+	0.0571441i
$813$	5.14486	+	17.0964i	0.180438	+	0.599596i
$814$	5.07999	+	18.2182i	0.178053	+	0.638549i
$815$	−34.4216	+	19.8733i	−1.20574	+	0.696133i
$816$	18.5874	+	11.2799i	0.650688	+	0.394874i
$817$	−0.321897	−	3.06265i	−0.0112618	−	0.107148i
$818$	14.3008	−	19.6834i	0.500016	−	0.688214i
$819$	−6.28215	−	4.99767i	−0.219516	−	0.174633i
$820$	−4.12639	+	1.34075i	−0.144100	+	0.0468209i
$821$	0.815730	−	0.363187i	0.0284692	−	0.0126753i	−0.392453	−	0.919772i	$-0.628373\pi$
$821$	0.815730	−	0.363187i	0.0284692	−	0.0126753i	0.420922	+	0.907097i	$0.361707\pi$
$822$	−0.875647	+	6.88148i	−0.0305417	+	0.240019i
$823$	6.60725	−	1.40442i	0.230314	−	0.0489548i	−0.0913086	−	0.995823i	$-0.529105\pi$
$823$	6.60725	−	1.40442i	0.230314	−	0.0489548i	0.321623	+	0.946868i	$0.395772\pi$
$824$	11.2973	+	19.5676i	0.393561	+	0.681668i
$825$	−54.7424	−	21.7527i	−1.90589	−	0.757330i
$826$	3.35596	−	5.81270i	0.116769	−	0.202250i
$827$	−11.8243	+	36.3915i	−0.411172	+	1.26546i	0.504459	+	0.863436i	$0.331692\pi$
$827$	−11.8243	+	36.3915i	−0.411172	+	1.26546i	−0.915630	+	0.402021i	$0.868308\pi$
$828$	0.937179	−	0.772455i	0.0325692	−	0.0268447i
$829$	5.14967	+	3.74145i	0.178855	+	0.129946i	0.673611	−	0.739086i	$-0.264742\pi$
$829$	5.14967	+	3.74145i	0.178855	+	0.129946i	−0.494756	+	0.869032i	$0.664742\pi$
$830$	−8.95929	+	42.1501i	−0.310981	+	1.46305i
$831$	1.12987	+	13.6025i	0.0391947	+	0.471867i
$832$	13.4793	+	1.41673i	0.467312	+	0.0491164i
$833$	13.0733	+	5.82061i	0.452963	+	0.201672i
$834$	−34.1790	−	0.746825i	−1.18352	−	0.0258604i
$835$	68.8143	+	39.7299i	2.38142	+	1.37491i
$836$	0.420943	−	0.347995i	0.0145586	−	0.0120357i
$837$	11.8522	+	2.03769i	0.409673	+	0.0704330i
$838$	23.4664	+	7.62469i	0.810632	+	0.263390i
$839$	−13.7989	+	1.45032i	−0.476390	+	0.0500706i	−0.339681	−	0.940541i	$-0.610319\pi$
$839$	−13.7989	+	1.45032i	−0.476390	+	0.0500706i	−0.136709	+	0.990611i	$0.543652\pi$
$840$	31.6033	+	11.0375i	1.09042	+	0.380828i
$841$	31.7497	−	35.2616i	1.09482	−	1.21592i
$842$	8.50206	−	9.44250i	0.293000	−	0.325410i
$843$	−16.1642	+	13.9271i	−0.556724	+	0.479674i
$844$	0.164449	−	0.0172843i	0.00566058	−	0.000594951i
$845$	38.9467	+	12.6545i	1.33981	+	0.435330i
$846$	0.740811	−	1.48561i	0.0254696	−	0.0510764i
$847$	−12.6964	−	13.5386i	−0.436253	−	0.465192i
$848$	−45.2016	−	26.0971i	−1.55223	−	0.896179i
$849$	17.9859	+	32.7864i	0.617276	+	1.12523i
$850$	43.7274	+	19.4687i	1.49984	+	0.667771i
$851$	−10.2749	−	1.07994i	−0.352219	−	0.0370197i
$852$	−1.27085	−	0.599421i	−0.0435387	−	0.0205358i
$853$	−1.52206	+	7.16073i	−0.0521143	+	0.245179i	−0.996492	−	0.0836831i	$-0.973332\pi$
$853$	−1.52206	+	7.16073i	−0.0521143	+	0.245179i	0.944378	+	0.328862i	$0.106665\pi$
$854$	14.4165	+	10.4742i	0.493323	+	0.358420i
$855$	−11.5370	+	1.92992i	−0.394558	+	0.0660018i
$856$	−15.4333	+	47.4989i	−0.527500	+	1.62348i
$857$	0.147208	−	0.254971i	0.00502852	−	0.00870966i	−0.863500	−	0.504349i	$-0.831733\pi$
$857$	0.147208	−	0.254971i	0.00502852	−	0.00870966i	0.868529	+	0.495639i	$0.165066\pi$
$858$	5.47349	+	11.0607i	0.186862	+	0.377606i
$859$	14.6300	+	25.3398i	0.499168	+	0.864584i	1.00000		0.000960409i	$-0.000305708\pi$
$859$	14.6300	+	25.3398i	0.499168	+	0.864584i	−0.500832	+	0.865545i	$0.666972\pi$
$860$	1.94386	−	0.413181i	0.0662852	−	0.0140894i
$861$	15.6667	+	11.9140i	0.533918	+	0.406027i
$862$	−48.7398	+	21.7004i	−1.66009	+	0.739118i
$863$	7.20099	−	2.33974i	0.245124	−	0.0796458i	−0.183878	−	0.982949i	$-0.558865\pi$
$863$	7.20099	−	2.33974i	0.245124	−	0.0796458i	0.429003	+	0.903303i	$0.358865\pi$
$864$	−0.693470	−	4.78585i	−0.0235923	−	0.162818i
$865$	2.53644	−	3.49111i	0.0862415	−	0.118701i
$866$	0.486680	+	4.63045i	0.0165381	+	0.157349i
$867$	0.193954	−	8.87643i	0.00658701	−	0.301459i
$868$	0.557861	−	0.322081i	0.0189350	−	0.0109322i
$869$	0.656180	−	0.827319i	0.0222594	−	0.0280649i
$870$	−77.9910	−	18.3669i	−2.64414	−	0.622698i
$871$	−9.28764	+	8.36263i	−0.314700	+	0.283357i
$872$	17.6489	+	24.2916i	0.597668	+	0.822619i
$873$	−10.5632	+	16.5786i	−0.357509	+	0.561101i
$874$	−1.02564	−	3.15660i	−0.0346928	−	0.106773i
$875$	33.8691	+	7.19909i	1.14498	+	0.243374i
$876$	3.48860	−	0.662222i	0.117869	−	0.0223744i
$877$	19.6115	−	44.0482i	0.662234	−	1.48740i	−0.199424	−	0.979913i	$-0.563907\pi$
$877$	19.6115	−	44.0482i	0.662234	−	1.48740i	0.861658	−	0.507489i	$-0.169426\pi$
$878$	6.97893	+	32.8333i	0.235527	+	1.10807i
$879$	−27.6517	−	26.0137i	−0.932667	−	0.877419i
$880$	−33.7038	−	33.0275i	−1.13616	−	1.11336i
$881$			44.9925i			1.51584i	0.652350	+	0.757918i	$0.273783\pi$
$881$			44.9925i			1.51584i	−0.652350	+	0.757918i	$0.726217\pi$
$882$	4.50927	+	16.2637i	0.151835	+	0.547628i
$883$	−15.6051	+	11.3378i	−0.525154	+	0.381547i	−0.818542	−	0.574447i	$-0.805217\pi$
$883$	−15.6051	+	11.3378i	−0.525154	+	0.381547i	0.293388	+	0.955993i	$0.405217\pi$
$884$	0.366634	+	0.823474i	0.0123312	+	0.0276964i
$885$	−19.7965	+	1.64436i	−0.665453	+	0.0552745i
$886$	19.3522	+	17.4248i	0.650149	+	0.585397i
$887$	5.11102	−	48.6282i	0.171611	−	1.63277i	−0.482161	−	0.876083i	$-0.660148\pi$
$887$	5.11102	−	48.6282i	0.171611	−	1.63277i	0.653773	−	0.756691i	$-0.273185\pi$
$888$	−12.9438	+	17.0209i	−0.434365	+	0.571183i
$889$	9.89611	+	10.9907i	0.331905	+	0.368618i
$890$	6.81421			0.228413
$891$	22.6729	−	19.4150i	0.759570	−	0.650426i
$892$	1.84457			0.0617608
$893$	0.272875	+	0.303058i	0.00913141	+	0.0101415i
$894$	13.7082	−	18.0261i	0.458472	−	0.602883i
$895$	2.72834	−	25.9584i	0.0911982	−	0.867693i
$896$	12.1832	+	10.9698i	0.407013	+	0.366476i
$897$	−6.71819	+	0.558034i	−0.224314	+	0.0186322i
$898$	−18.5508	−	41.6658i	−0.619048	−	1.39040i
$899$	−16.3715	+	11.8946i	−0.546019	+	0.396706i
$900$	−1.35576	−	4.88986i	−0.0451919	−	0.162995i
$901$		−	49.3713i		−	1.64480i
$902$	−14.0092	−	26.8191i	−0.466455	−	0.892980i
$903$	−6.56614	−	6.17718i	−0.218507	−	0.205564i
$904$	0.422908	+	1.98963i	0.0140657	+	0.0661740i
$905$	−7.07915	+	15.9000i	−0.235319	+	0.528535i
$906$	−2.08252	+	0.395313i	−0.0691870	+	0.0131334i
$907$	23.1072	+	4.91158i	0.767261	+	0.163086i	0.574884	−	0.818235i	$-0.305047\pi$
$907$	23.1072	+	4.91158i	0.767261	+	0.163086i	0.192377	+	0.981321i	$0.438380\pi$
$908$	−0.453979	−	1.39720i	−0.0150658	−	0.0463678i
$909$	−6.75643	+	10.6041i	−0.224097	+	0.351714i
$910$	−8.32149	−	11.4535i	−0.275855	−	0.379681i
$911$	7.46156	−	6.71842i	0.247213	−	0.222591i	−0.536204	−	0.844089i	$-0.680142\pi$
$911$	7.46156	−	6.71842i	0.247213	−	0.222591i	0.783416	+	0.621498i	$0.213475\pi$
$912$	−6.13135	−	1.44394i	−0.203029	−	0.0478136i
$913$	26.9889	+	1.14030i	0.893202	+	0.0377385i
$914$	1.09451	−	0.631917i	0.0362032	−	0.0209019i
$915$	1.15211	−	52.7271i	0.0380875	−	1.74310i
$916$	−0.0944294	−	0.898436i	−0.00312004	−	0.0296852i
$917$	4.46262	−	6.14226i	0.147369	−	0.202835i
$918$	−19.0493	+	15.0145i	−0.628722	+	0.495551i
$919$	15.7704	−	5.12411i	0.520217	−	0.169029i	−0.0371269	−	0.999311i	$-0.511821\pi$
$919$	15.7704	−	5.12411i	0.520217	−	0.169029i	0.557344	+	0.830282i	$0.311821\pi$
$920$	25.6812	−	11.4340i	0.846684	−	0.376968i
$921$	46.0703	+	35.0349i	1.51807	+	1.15444i
$922$	23.5029	−	4.99570i	0.774027	−	0.164525i
$923$	3.89974	+	6.75455i	0.128362	+	0.222329i
$924$	0.268595	−	1.57613i	0.00883612	−	0.0518510i
$925$	−21.5833	+	37.3833i	−0.709654	+	1.22916i
$926$	−1.46940	+	4.52234i	−0.0482874	+	0.148613i
$927$	−22.7962	+	3.81335i	−0.748726	+	0.125247i
$928$	6.58314	+	4.78293i	0.216102	+	0.157007i
$929$	−10.4909	+	49.3556i	−0.344194	+	1.61930i	0.376753	+	0.926314i	$0.377041\pi$
$929$	−10.4909	+	49.3556i	−0.344194	+	1.61930i	−0.720947	+	0.692991i	$0.756293\pi$
$930$	19.1824	+	9.04773i	0.629017	+	0.296687i
$931$	−4.12328	−	0.433374i	−0.135135	−	0.0142032i
$932$	2.62938	+	1.17067i	0.0861280	+	0.0383467i
$933$	−0.394325	−	0.718811i	−0.0129096	−	0.0235328i
$934$	20.9297	+	12.0838i	0.684841	+	0.395393i
$935$	11.1152	−	43.2303i	0.363507	−	1.41378i
$936$	−6.22644	+	12.4864i	−0.203518	+	0.408131i
$937$	3.23270	+	1.05037i	0.105608	+	0.0343140i	0.361344	−	0.932433i	$-0.382318\pi$
$937$	3.23270	+	1.05037i	0.105608	+	0.0343140i	−0.255737	+	0.966747i	$0.582318\pi$
$938$	−17.9143	+	1.88287i	−0.584923	+	0.0614779i
$939$	43.7894	−	37.7291i	1.42901	−	1.23124i
$940$	−0.176093	+	0.195571i	−0.00574353	+	0.00637883i
$941$	−11.4394	+	12.7047i	−0.372914	+	0.414162i	−0.900167	−	0.435546i	$-0.856555\pi$
$941$	−11.4394	+	12.7047i	−0.372914	+	0.414162i	0.527253	+	0.849708i	$0.323222\pi$
$942$	27.7991	+	9.70882i	0.905743	+	0.316330i
$943$	16.4379	−	1.72770i	0.535293	−	0.0562615i
$944$	−10.1737	−	3.30563i	−0.331126	−	0.107589i
$945$	−21.8988	+	26.3256i	−0.712368	+	0.856371i
$946$	5.09749	+	12.8875i	0.165734	+	0.419009i
$947$	12.4418	+	7.18329i	0.404305	+	0.233426i	0.688340	−	0.725388i	$-0.258340\pi$
$947$	12.4418	+	7.18329i	0.404305	+	0.233426i	−0.284035	+	0.958814i	$0.591673\pi$
$948$	0.0909409	+	0.00198710i	0.00295362	+	6.45379e-5i
$949$	−18.0061	−	8.01682i	−0.584502	−	0.260237i
$950$	−13.7915	−	1.44954i	−0.447455	−	0.0470294i
$951$	−1.18964	−	14.3222i	−0.0385769	−	0.464429i
$952$	−3.54524	+	16.6791i	−0.114902	+	0.540571i
$953$	−21.9018	−	15.9126i	−0.709470	−	0.515460i	0.173532	−	0.984828i	$-0.444482\pi$
$953$	−21.9018	−	15.9126i	−0.709470	−	0.515460i	−0.883003	+	0.469368i	$0.844482\pi$
$954$	44.9314	−	37.0340i	1.45471	−	1.19902i
$955$	−23.5673	+	72.5327i	−0.762620	+	2.34710i
$956$	1.47485	−	2.55451i	0.0477000	−	0.0826188i
$957$	−3.21602	+	50.1246i	−0.103959	+	1.62030i
$958$	18.8102	+	32.5803i	0.607731	+	1.05262i
$959$	−4.87963	+	1.03720i	−0.157571	+	0.0334928i
$960$	7.29797	−	57.3528i	0.235541	−	1.85105i
$961$	−23.4264	+	10.4301i	−0.755692	+	0.336456i
$962$	8.60087	−	2.79459i	0.277303	−	0.0901012i
$963$	−39.9806	−	31.8060i	−1.28836	−	1.02493i
$964$	−0.919512	+	1.26560i	−0.0296155	+	0.0407622i
$965$	6.25474	+	59.5099i	0.201347	+	1.91569i
$966$	−8.30641	−	5.04080i	−0.267254	−	0.162185i
$967$	−8.03625	+	4.63973i	−0.258428	+	0.149204i	−0.623617	−	0.781730i	$-0.714338\pi$
$967$	−8.03625	+	4.63973i	−0.258428	+	0.149204i	0.365189	+	0.930933i	$0.381004\pi$
$968$	−18.4291	+	26.4778i	−0.592334	+	0.851030i
$969$	−1.71701	−	5.70564i	−0.0551584	−	0.183292i
$970$	−25.7636	+	23.1977i	−0.827220	+	0.744832i
$971$	23.2912	+	32.0576i	0.747450	+	1.02878i	0.998155	+	0.0607128i	$0.0193374\pi$
$971$	23.2912	+	32.0576i	0.747450	+	1.02878i	−0.250706	+	0.968063i	$0.580663\pi$
$972$	2.51270	+	0.545960i	0.0805950	+	0.0175117i
$973$	−7.59727	−	23.3820i	−0.243557	−	0.749592i
$974$	−40.8454	−	8.68195i	−1.30877	−	0.278188i
$975$	−9.28696	+	26.5912i	−0.297421	+	0.851599i
$976$	11.5516	−	25.9452i	0.369757	−	0.830487i
$977$	−7.36296	−	34.6400i	−0.235562	−	1.10823i	−0.923838	−	0.382783i	$-0.874966\pi$
$977$	−7.36296	−	34.6400i	−0.235562	−	1.10823i	0.688276	−	0.725449i	$-0.258368\pi$
$978$	5.47346	−	23.2418i	0.175022	−	0.743190i
$979$	−0.710951	−	4.21205i	−0.0227221	−	0.134618i
$980$		−	2.67551i		−	0.0854661i
$981$	−29.5983	+	8.20640i	−0.945000	+	0.262010i
$982$	27.8760	−	20.2531i	0.889558	−	0.646301i
$983$	−3.38603	−	7.60516i	−0.107998	−	0.242567i	0.851460	−	0.524420i	$-0.175718\pi$
$983$	−3.38603	−	7.60516i	−0.107998	−	0.242567i	−0.959458	+	0.281853i	$0.909051\pi$
$984$	14.5937	−	30.9405i	0.465229	−	0.986349i
$985$	−35.5026	−	31.9667i	−1.13121	−	1.01854i
$986$	4.26621	−	40.5903i	0.135864	−	1.29266i
$987$	1.18427	+	0.150695i	0.0376958	+	0.00479668i
$988$	−0.174744	−	0.194073i	−0.00555936	−	0.00617430i
$989$	−7.57060			−0.240731
$990$	47.6803	−	22.3119i	1.51538	−	0.709119i
$991$	27.4287			0.871300			0.435650	−	0.900116i	$-0.356519\pi$
$991$	27.4287			0.871300			0.435650	+	0.900116i	$0.356519\pi$
$992$	−1.44126	−	1.60068i	−0.0457601	−	0.0508218i
$993$	−1.66030	−	3.95971i	−0.0526881	−	0.125658i
$994$	−1.17505	+	11.1798i	−0.0372702	+	0.354602i
$995$	−55.9646	−	50.3908i	−1.77420	−	1.59749i
$996$	1.32631	+	1.91199i	0.0420258	+	0.0605838i
$997$	−8.17195	−	18.3545i	−0.258808	−	0.581293i	0.736673	−	0.676249i	$-0.236396\pi$
$997$	−8.17195	−	18.3545i	−0.258808	−	0.581293i	−0.995481	+	0.0949562i	$0.969729\pi$
$998$	−7.31069	+	5.31153i	−0.231416	+	0.168134i
$999$	−11.6706	−	18.5005i	−0.369241	−	0.585329i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.2.4	✓	80
3.2	odd	2		297.2.t.a.35.7		80
9.2	odd	6		891.2.k.a.728.15		80
9.4	even	3		297.2.t.a.233.7		80
9.5	odd	6	inner	99.2.p.a.68.4	yes	80
9.7	even	3		891.2.k.a.728.6		80
11.6	odd	10	inner	99.2.p.a.83.4	yes	80
33.17	even	10		297.2.t.a.116.7		80
99.50	even	30	inner	99.2.p.a.50.4	yes	80
99.61	odd	30		891.2.k.a.809.15		80
99.83	even	30		891.2.k.a.809.6		80
99.94	odd	30		297.2.t.a.17.7		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.2.4	✓	80	1.1	even	1	trivial
99.2.p.a.50.4	yes	80	99.50	even	30	inner
99.2.p.a.68.4	yes	80	9.5	odd	6	inner
99.2.p.a.83.4	yes	80	11.6	odd	10	inner
297.2.t.a.17.7		80	99.94	odd	30
297.2.t.a.35.7		80	3.2	odd	2
297.2.t.a.116.7		80	33.17	even	10
297.2.t.a.233.7		80	9.4	even	3
891.2.k.a.728.6		80	9.7	even	3
891.2.k.a.728.15		80	9.2	odd	6
891.2.k.a.809.6		80	99.83	even	30
891.2.k.a.809.15		80	99.61	odd	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.906431 - 1.00669i) q^{2} +(1.04844 - 1.37868i) q^{3} +(0.0172421 - 0.164047i) q^{4} +(2.90247 + 2.61340i) q^{5} +(-2.33825 + 0.194222i) q^{6} +(-0.686294 - 1.54144i) q^{7} +(-2.37263 + 1.72381i) q^{8} +(-0.801540 - 2.89094i) q^{9} +O(q^{10})\)	\(q+(-0.906431 - 1.00669i) q^{2} +(1.04844 - 1.37868i) q^{3} +(0.0172421 - 0.164047i) q^{4} +(2.90247 + 2.61340i) q^{5} +(-2.33825 + 0.194222i) q^{6} +(-0.686294 - 1.54144i) q^{7} +(-2.37263 + 1.72381i) q^{8} +(-0.801540 - 2.89094i) q^{9} -5.29077i q^{10} +(-3.27037 + 0.552005i) q^{11} +(-0.208092 - 0.195766i) q^{12} +(0.329720 + 1.55121i) q^{13} +(-0.929682 + 2.08810i) q^{14} +(6.64613 - 1.26160i) q^{15} +(3.56328 + 0.757399i) q^{16} +(1.06483 + 3.27721i) q^{17} +(-2.18375 + 3.42734i) q^{18} +(-0.586799 - 0.807660i) q^{19} +(0.478766 - 0.431083i) q^{20} +(-2.84470 - 0.669929i) q^{21} +(3.52006 + 2.79190i) q^{22} +(-2.12544 + 1.22712i) q^{23} +(-0.110966 + 5.07842i) q^{24} +(1.07186 + 10.1980i) q^{25} +(1.26273 - 1.73799i) q^{26} +(-4.82606 - 1.92591i) q^{27} +(-0.264703 + 0.0860072i) q^{28} +(7.98760 - 3.55631i) q^{29} +(-7.29430 - 5.54706i) q^{30} +(-2.26385 + 0.481196i) q^{31} +(0.465328 + 0.805971i) q^{32} +(-2.66775 + 5.08755i) q^{33} +(2.33395 - 4.04252i) q^{34} +(2.03645 - 6.26756i) q^{35} +(-0.488071 + 0.0816447i) q^{36} +(3.40567 + 2.47437i) q^{37} +(-0.281173 + 1.32281i) q^{38} +(2.48432 + 1.17178i) q^{39} +(-11.3915 - 1.19730i) q^{40} +(-6.15240 - 2.73923i) q^{41} +(1.90411 + 3.47099i) q^{42} +(2.67142 + 1.54235i) q^{43} +(0.0341671 + 0.546013i) q^{44} +(5.22873 - 10.4856i) q^{45} +(3.16190 + 1.02736i) q^{46} +(-0.406253 + 0.0426989i) q^{47} +(4.78011 - 4.11855i) q^{48} +(2.77887 - 3.08625i) q^{49} +(9.29473 - 10.3228i) q^{50} +(5.63465 + 1.96790i) q^{51} +(0.260157 - 0.0273436i) q^{52} +(-13.6265 - 4.42751i) q^{53} +(2.43569 + 6.60407i) q^{54} +(-10.9348 - 6.94459i) q^{55} +(4.28548 + 2.47422i) q^{56} +(-1.72873 - 0.0377735i) q^{57} +(-10.8203 - 4.81752i) q^{58} +(-2.92039 - 0.306945i) q^{59} +(-0.0923688 - 1.11203i) q^{60} +(1.62092 - 7.62581i) q^{61} +(2.53644 + 1.84283i) q^{62} +(-3.90613 + 3.21956i) q^{63} +(2.64101 - 8.12819i) q^{64} +(-3.09693 + 5.36404i) q^{65} +(7.53973 - 1.92590i) q^{66} +(3.94035 + 6.82489i) q^{67} +(0.555978 - 0.118177i) q^{68} +(-0.536585 + 4.21688i) q^{69} +(-8.15541 + 3.63102i) q^{70} +(4.67741 - 1.51978i) q^{71} +(6.88520 + 5.47742i) q^{72} +(-7.30535 + 10.0549i) q^{73} +(-0.596079 - 5.67131i) q^{74} +(15.1836 + 9.21429i) q^{75} +(-0.142612 + 0.0823371i) q^{76} +(3.09532 + 4.66224i) q^{77} +(-1.07225 - 3.56309i) q^{78} +(-0.236603 + 0.213038i) q^{79} +(8.36295 + 11.5106i) q^{80} +(-7.71507 + 4.63441i) q^{81} +(2.81917 + 8.67650i) q^{82} +(-7.96674 - 1.69338i) q^{83} +(-0.158949 + 0.455115i) q^{84} +(-5.47402 + 12.2948i) q^{85} +(-0.868789 - 4.08733i) q^{86} +(3.47151 - 14.7410i) q^{87} +(6.80781 - 6.94721i) q^{88} +1.28794i q^{89} +(-15.2953 + 4.24076i) q^{90} +(2.16482 - 1.57283i) q^{91} +(0.164659 + 0.369831i) q^{92} +(-1.71010 + 3.62564i) q^{93} +(0.411225 + 0.370268i) q^{94} +(0.407568 - 3.87775i) q^{95} +(1.59905 + 0.203474i) q^{96} +(-4.38456 - 4.86954i) q^{97} -5.62576 q^{98} +(4.21714 + 9.01198i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9}+O(q^{10}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27} - 20 q^{28} + 30 q^{29} + 50 q^{30} - 6 q^{31} + 4 q^{33} - 10 q^{34} - 17 q^{36} - 6 q^{37} + 9 q^{38} + 85 q^{39} + 15 q^{40} - 15 q^{41} + 19 q^{42} - 12 q^{45} - 40 q^{46} - 21 q^{47} + 70 q^{48} - q^{49} + 60 q^{50} - 45 q^{51} - 5 q^{52} - 18 q^{55} + 90 q^{56} + 60 q^{57} - 29 q^{58} + 81 q^{59} + 43 q^{60} - 5 q^{61} + 15 q^{63} - 8 q^{64} - 39 q^{66} + 10 q^{67} + 180 q^{68} - 20 q^{69} + 30 q^{70} + 5 q^{72} - 20 q^{73} - 15 q^{74} - 30 q^{75} + 33 q^{77} + 152 q^{78} - 5 q^{79} - 73 q^{81} - 2 q^{82} - 60 q^{83} - 135 q^{84} - 5 q^{85} - 48 q^{86} - 59 q^{88} - 70 q^{90} + 52 q^{91} - 213 q^{92} - 34 q^{93} - 5 q^{94} - 135 q^{95} - 145 q^{96} + 27 q^{97} + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

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