LMFDB - Embedded newform 99.2.p.a.2.2

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			2.2
Character	$\chi$	$=$	99.2
Dual form			99.2.p.a.50.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.65440 - 1.83740i) q^{2} +(-0.642641 - 1.60842i) q^{3} +(-0.429934 + 4.09055i) q^{4} +(-1.51955 - 1.36821i) q^{5} +(-1.89212 + 3.84176i) q^{6} +(-0.441031 - 0.990572i) q^{7} +(4.22672 - 3.07089i) q^{8} +(-2.17403 + 2.06727i) q^{9} +5.05558i q^{10} +(1.28919 + 3.05581i) q^{11} +(6.85561 - 1.93724i) q^{12} +(-0.231169 - 1.08757i) q^{13} +(-1.09043 + 2.44916i) q^{14} +(-1.22413 + 3.32334i) q^{15} +(-4.58875 - 0.975370i) q^{16} +(-2.03372 - 6.25916i) q^{17} +(7.39512 + 0.574454i) q^{18} +(-4.19112 - 5.76858i) q^{19} +(6.25003 - 5.62755i) q^{20} +(-1.30983 + 1.34595i) q^{21} +(3.48191 - 7.42429i) q^{22} +(-4.70965 + 2.71912i) q^{23} +(-7.65555 - 4.82486i) q^{24} +(-0.0856067 - 0.814494i) q^{25} +(-1.61585 + 2.22402i) q^{26} +(4.72216 + 2.16823i) q^{27} +(4.24160 - 1.37818i) q^{28} +(6.76852 - 3.01354i) q^{29} +(8.13150 - 3.24892i) q^{30} +(1.16034 - 0.246638i) q^{31} +(0.574983 + 0.995900i) q^{32} +(4.08654 - 4.03735i) q^{33} +(-8.13598 + 14.0919i) q^{34} +(-0.685140 + 2.10865i) q^{35} +(-7.52159 - 9.78175i) q^{36} +(0.780793 + 0.567279i) q^{37} +(-3.66539 + 17.2443i) q^{38} +(-1.60070 + 1.07073i) q^{39} +(-10.6243 - 1.11666i) q^{40} +(-1.00893 - 0.449206i) q^{41} +(4.64003 + 0.179948i) q^{42} +(4.42893 + 2.55705i) q^{43} +(-13.0542 + 3.95969i) q^{44} +(6.13199 - 0.166802i) q^{45} +(12.7877 + 4.15499i) q^{46} +(-4.27162 + 0.448965i) q^{47} +(1.38012 + 8.00745i) q^{48} +(3.89719 - 4.32827i) q^{49} +(-1.35492 + 1.50479i) q^{50} +(-8.76040 + 7.29347i) q^{51} +(4.54813 - 0.478028i) q^{52} +(10.3556 + 3.36474i) q^{53} +(-3.82844 - 12.2636i) q^{54} +(2.22200 - 6.40733i) q^{55} +(-4.90606 - 2.83251i) q^{56} +(-6.58491 + 10.4482i) q^{57} +(-16.7349 - 7.45086i) q^{58} +(-2.19385 - 0.230582i) q^{59} +(-13.0680 - 6.43617i) q^{60} +(1.20666 - 5.67690i) q^{61} +(-2.37284 - 1.72397i) q^{62} +(3.00660 + 1.24180i) q^{63} +(-2.02075 + 6.21923i) q^{64} +(-1.13674 + 1.96890i) q^{65} +(-14.1790 - 0.829223i) q^{66} +(0.496739 + 0.860378i) q^{67} +(26.4778 - 5.62802i) q^{68} +(7.40009 + 5.82767i) q^{69} +(5.00792 - 2.22967i) q^{70} +(6.12170 - 1.98906i) q^{71} +(-2.84063 + 15.4140i) q^{72} +(-0.486222 + 0.669227i) q^{73} +(-0.249427 - 2.37314i) q^{74} +(-1.25503 + 0.661118i) q^{75} +(25.3986 - 14.6639i) q^{76} +(2.45843 - 2.62474i) q^{77} +(4.61557 + 1.16971i) q^{78} +(-4.53104 + 4.07977i) q^{79} +(5.63833 + 7.76049i) q^{80} +(0.452772 - 8.98860i) q^{81} +(0.843809 + 2.59698i) q^{82} +(2.14558 + 0.456058i) q^{83} +(-4.94251 - 5.93660i) q^{84} +(-5.47349 + 12.2937i) q^{85} +(-2.62892 - 12.3681i) q^{86} +(-9.19676 - 8.94999i) q^{87} +(14.8331 + 8.95712i) q^{88} -6.19738i q^{89} +(-10.4513 - 10.9910i) q^{90} +(-0.975360 + 0.708641i) q^{91} +(-9.09784 - 20.4341i) q^{92} +(-1.14238 - 1.70782i) q^{93} +(7.89190 + 7.10590i) q^{94} +(-1.52401 + 14.5000i) q^{95} +(1.23232 - 1.56482i) q^{96} +(-6.37180 - 7.07660i) q^{97} -14.4003 q^{98} +(-9.11992 - 3.97831i) 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} - 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}+ \cdots + 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

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 $

$2$	−1.65440	−	1.83740i	−1.16984	−	1.29924i	−0.945834	−	0.324649i	$-0.894754\pi$
$2$	−1.65440	−	1.83740i	−1.16984	−	1.29924i	−0.224004	−	0.974588i	$-0.571913\pi$
$3$	−0.642641	−	1.60842i	−0.371029	−	0.928621i
$3$	−0.642641	−	1.60842i	−0.371029	−	0.928621i
$4$	−0.429934	+	4.09055i	−0.214967	+	2.04527i
$5$	−1.51955	−	1.36821i	−0.679563	−	0.611881i	0.255312	−	0.966859i	$-0.417822\pi$
$5$	−1.51955	−	1.36821i	−0.679563	−	0.611881i	−0.934875	+	0.354978i	$0.884488\pi$
$6$	−1.89212	+	3.84176i	−0.772456	+	1.56839i
$7$	−0.441031	−	0.990572i	−0.166694	−	0.374401i	0.810812	−	0.585306i	$-0.199026\pi$
$7$	−0.441031	−	0.990572i	−0.166694	−	0.374401i	−0.977507	+	0.210905i	$0.932359\pi$
$8$	4.22672	−	3.07089i	1.49437	−	1.08572i
$9$	−2.17403	+	2.06727i	−0.724675	+	0.689091i
$10$			5.05558i			1.59872i
$11$	1.28919	+	3.05581i	0.388705	+	0.921362i
$11$	1.28919	+	3.05581i	0.388705	+	0.921362i
$12$	6.85561	−	1.93724i	1.97904	−	0.559233i
$13$	−0.231169	−	1.08757i	−0.0641148	−	0.301637i	0.934393	−	0.356244i	$-0.115943\pi$
$13$	−0.231169	−	1.08757i	−0.0641148	−	0.301637i	−0.998508	+	0.0546071i	$0.982609\pi$
$14$	−1.09043	+	2.44916i	−0.291431	+	0.654564i
$15$	−1.22413	+	3.32334i	−0.316068	+	0.858082i
$16$	−4.58875	−	0.975370i	−1.14719	−	0.243842i
$17$	−2.03372	−	6.25916i	−0.493251	−	1.51807i	−0.819665	−	0.572843i	$-0.805841\pi$
$17$	−2.03372	−	6.25916i	−0.493251	−	1.51807i	0.326415	−	0.945227i	$-0.394159\pi$
$18$	7.39512	+	0.574454i	1.74305	+	0.135400i
$19$	−4.19112	−	5.76858i	−0.961508	−	1.32340i	−0.946221	−	0.323520i	$-0.895134\pi$
$19$	−4.19112	−	5.76858i	−0.961508	−	1.32340i	−0.0152869	−	0.999883i	$-0.504866\pi$
$20$	6.25003	−	5.62755i	1.39755	−	1.25836i
$21$	−1.30983	+	1.34595i	−0.285829	+	0.293709i
$22$	3.48191	−	7.42429i	0.742347	−	1.58287i
$23$	−4.70965	+	2.71912i	−0.982029	+	0.566975i	−0.902882	−	0.429888i	$-0.858553\pi$
$23$	−4.70965	+	2.71912i	−0.982029	+	0.566975i	−0.0791471	+	0.996863i	$0.525220\pi$
$24$	−7.65555	−	4.82486i	−1.56268	−	0.984870i
$25$	−0.0856067	−	0.814494i	−0.0171213	−	0.162899i
$26$	−1.61585	+	2.22402i	−0.316894	+	0.436166i
$27$	4.72216	+	2.16823i	0.908780	+	0.417276i
$28$	4.24160	−	1.37818i	0.801587	−	0.260451i
$29$	6.76852	−	3.01354i	1.25688	−	0.559600i	0.333235	−	0.942844i	$-0.391860\pi$
$29$	6.76852	−	3.01354i	1.25688	−	0.559600i	0.923647	+	0.383244i	$0.125193\pi$
$30$	8.13150	−	3.24892i	1.48460	−	0.593170i
$31$	1.16034	−	0.246638i	0.208404	−	0.0442975i	−0.102527	−	0.994730i	$-0.532693\pi$
$31$	1.16034	−	0.246638i	0.208404	−	0.0442975i	0.310930	+	0.950433i	$0.399359\pi$
$32$	0.574983	+	0.995900i	0.101644	+	0.176052i
$33$	4.08654	−	4.03735i	0.711376	−	0.702812i
$34$	−8.13598	+	14.0919i	−1.39531	+	2.41675i
$35$	−0.685140	+	2.10865i	−0.115810	+	0.356426i
$36$	−7.52159	−	9.78175i	−1.25360	−	1.63029i
$37$	0.780793	+	0.567279i	0.128362	+	0.0932602i	0.650114	−	0.759837i	$-0.274721\pi$
$37$	0.780793	+	0.567279i	0.128362	+	0.0932602i	−0.521752	+	0.853097i	$0.674721\pi$
$38$	−3.66539	+	17.2443i	−0.594605	+	2.79740i
$39$	−1.60070	+	1.07073i	−0.256318	+	0.171454i
$40$	−10.6243	−	1.11666i	−1.67985	−	0.176560i
$41$	−1.00893	−	0.449206i	−0.157569	−	0.0701541i	0.326437	−	0.945219i	$-0.394152\pi$
$41$	−1.00893	−	0.449206i	−0.157569	−	0.0701541i	−0.484006	+	0.875065i	$0.660819\pi$
$42$	4.64003	+	0.179948i	0.715972	+	0.0277666i
$43$	4.42893	+	2.55705i	0.675406	+	0.389946i	0.798122	−	0.602496i	$-0.205827\pi$
$43$	4.42893	+	2.55705i	0.675406	+	0.389946i	−0.122716	+	0.992442i	$0.539160\pi$
$44$	−13.0542	+	3.95969i	−1.96800	+	0.596945i
$45$	6.13199	−	0.166802i	0.914104	−	0.0248654i
$46$	12.7877	+	4.15499i	1.88545	+	0.612620i
$47$	−4.27162	+	0.448965i	−0.623080	+	0.0654883i	−0.410807	−	0.911722i	$-0.634753\pi$
$47$	−4.27162	+	0.448965i	−0.623080	+	0.0654883i	−0.212273	+	0.977211i	$0.568086\pi$
$48$	1.38012	+	8.00745i	0.199203	+	1.15578i
$49$	3.89719	−	4.32827i	0.556741	−	0.618324i
$50$	−1.35492	+	1.50479i	−0.191615	+	0.212810i
$51$	−8.76040	+	7.29347i	−1.22670	+	1.02129i
$52$	4.54813	−	0.478028i	0.630712	−	0.0662905i
$53$	10.3556	+	3.36474i	1.42245	+	0.462183i	0.916380	−	0.400308i	$-0.131097\pi$
$53$	10.3556	+	3.36474i	1.42245	+	0.462183i	0.506072	+	0.862491i	$0.331097\pi$
$54$	−3.82844	−	12.2636i	−0.520985	−	1.66887i
$55$	2.22200	−	6.40733i	0.299615	−	0.863965i
$56$	−4.90606	−	2.83251i	−0.655600	−	0.378511i
$57$	−6.58491	+	10.4482i	−0.872193	+	1.38390i
$58$	−16.7349	−	7.45086i	−2.19740	−	0.978346i
$59$	−2.19385	−	0.230582i	−0.285614	−	0.0300193i	−0.0393620	−	0.999225i	$-0.512533\pi$
$59$	−2.19385	−	0.230582i	−0.285614	−	0.0300193i	−0.246252	+	0.969206i	$0.579199\pi$
$60$	−13.0680	−	6.43617i	−1.68707	−	0.830906i
$61$	1.20666	−	5.67690i	0.154497	−	0.726853i	−0.830878	−	0.556455i	$-0.812161\pi$
$61$	1.20666	−	5.67690i	0.154497	−	0.726853i	0.985375	−	0.170398i	$-0.0545054\pi$
$62$	−2.37284	−	1.72397i	−0.301352	−	0.218945i
$63$	3.00660	+	1.24180i	0.378795	+	0.156452i
$64$	−2.02075	+	6.21923i	−0.252594	+	0.777404i
$65$	−1.13674	+	1.96890i	−0.140996	+	0.244212i
$66$	−14.1790	−	0.829223i	−1.74531	−	0.102070i
$67$	0.496739	+	0.860378i	0.0606864	+	0.105112i	0.894772	−	0.446523i	$-0.147338\pi$
$67$	0.496739	+	0.860378i	0.0606864	+	0.105112i	−0.834086	+	0.551634i	$0.814004\pi$
$68$	26.4778	−	5.62802i	3.21090	−	0.682498i
$69$	7.40009	+	5.82767i	0.890866	+	0.701569i
$70$	5.00792	−	2.22967i	0.598561	−	0.266497i
$71$	6.12170	−	1.98906i	0.726512	−	0.236058i	0.0776676	−	0.996979i	$-0.475253\pi$
$71$	6.12170	−	1.98906i	0.726512	−	0.236058i	0.648844	+	0.760921i	$0.275253\pi$
$72$	−2.84063	+	15.4140i	−0.334771	+	1.81656i
$73$	−0.486222	+	0.669227i	−0.0569080	+	0.0783271i	−0.836523	−	0.547933i	$-0.815415\pi$
$73$	−0.486222	+	0.669227i	−0.0569080	+	0.0783271i	0.779615	+	0.626260i	$0.215415\pi$
$74$	−0.249427	−	2.37314i	−0.0289953	−	0.275872i
$75$	−1.25503	+	0.661118i	−0.144919	+	0.0763394i
$76$	25.3986	−	14.6639i	2.91341	−	1.68206i
$77$	2.45843	−	2.62474i	0.280164	−	0.299117i
$78$	4.61557	+	1.16971i	0.522610	+	0.132444i
$79$	−4.53104	+	4.07977i	−0.509782	+	0.459010i	−0.883432	−	0.468560i	$-0.844773\pi$
$79$	−4.53104	+	4.07977i	−0.509782	+	0.459010i	0.373650	+	0.927570i	$0.378106\pi$
$80$	5.63833	+	7.76049i	0.630384	+	0.867649i
$81$	0.452772	−	8.98860i	0.0503080	−	0.998734i
$82$	0.843809	+	2.59698i	0.0931831	+	0.286788i
$83$	2.14558	+	0.456058i	0.235508	+	0.0500589i	0.324154	−	0.946004i	$-0.394920\pi$
$83$	2.14558	+	0.456058i	0.235508	+	0.0500589i	−0.0886454	+	0.996063i	$0.528254\pi$
$84$	−4.94251	−	5.93660i	−0.539273	−	0.647736i
$85$	−5.47349	+	12.2937i	−0.593683	+	1.33343i
$86$	−2.62892	−	12.3681i	−0.283484	−	1.33369i
$87$	−9.19676	−	8.94999i	−0.985996	−	0.959540i
$88$	14.8331	+	8.95712i	1.58122	+	0.954832i
$89$		−	6.19738i		−	0.656921i	−0.944518	−	0.328460i	$-0.893470\pi$
$89$		−	6.19738i		−	0.656921i	0.944518	−	0.328460i	$-0.106530\pi$
$90$	−10.4513	−	10.9910i	−1.10166	−	1.15855i
$91$	−0.975360	+	0.708641i	−0.102246	+	0.0742857i
$92$	−9.09784	−	20.4341i	−0.948515	−	2.13040i
$93$	−1.14238	−	1.70782i	−0.118459	−	0.177092i
$94$	7.89190	+	7.10590i	0.813988	+	0.732918i
$95$	−1.52401	+	14.5000i	−0.156360	+	1.48766i
$96$	1.23232	−	1.56482i	0.125773	−	0.159709i
$97$	−6.37180	−	7.07660i	−0.646958	−	0.718520i	0.327056	−	0.945005i	$-0.393943\pi$
$97$	−6.37180	−	7.07660i	−0.646958	−	0.718520i	−0.974015	+	0.226485i	$0.927277\pi$
$98$	−14.4003			−1.45465
$99$	−9.11992	−	3.97831i	−0.916587	−	0.399836i
$100$	3.36853			0.336853
$101$	2.38335	+	2.64698i	0.237152	+	0.263384i	0.849959	−	0.526849i	$-0.176626\pi$
$101$	2.38335	+	2.64698i	0.237152	+	0.263384i	−0.612807	+	0.790232i	$0.709960\pi$
$102$	27.8942	+	4.03002i	2.76194	+	0.399031i
$103$	−0.550597	+	5.23858i	−0.0542520	+	0.516173i	0.933325	+	0.359034i	$0.116894\pi$
$103$	−0.550597	+	5.23858i	−0.0542520	+	0.516173i	−0.987576	+	0.157139i	$0.949773\pi$
$104$	−4.31689	−	3.88694i	−0.423306	−	0.381146i
$105$	3.83188	−	0.253109i	0.373954	−	0.0247009i
$106$	−10.9500	−	24.5940i	−1.06355	−	2.38878i
$107$	8.88743	−	6.45709i	0.859180	−	0.624231i	−0.0684817	−	0.997652i	$-0.521815\pi$
$107$	8.88743	−	6.45709i	0.859180	−	0.624231i	0.927662	+	0.373422i	$0.121815\pi$
$108$	−10.8995	+	18.3840i	−1.04880	+	1.76900i
$109$			2.65252i			0.254065i	0.991899	+	0.127033i	$0.0405453\pi$
$109$			2.65252i			0.254065i	−0.991899	+	0.127033i	$0.959455\pi$
$110$	−15.4489	+	6.51759i	−1.47300	+	0.621428i
$111$	0.410654	−	1.62040i	0.0389775	−	0.153802i
$112$	1.05761	+	4.97566i	0.0999347	+	0.470156i
$113$	3.76963	−	8.46673i	0.354617	−	0.796483i	−0.644865	−	0.764297i	$-0.723086\pi$
$113$	3.76963	−	8.46673i	0.354617	−	0.796483i	0.999482	−	0.0321862i	$-0.0102470\pi$
$114$	30.0916	−	5.18641i	2.81834	−	0.485752i
$115$	10.8769	+	2.31195i	1.01427	+	0.215590i
$116$	9.41701	+	28.9826i	0.874347	+	2.69096i
$117$	2.75086	+	1.88651i	0.254317	+	0.174408i
$118$	3.20583	+	4.41245i	0.295121	+	0.406199i
$119$	−5.30321	+	4.77504i	−0.486145	+	0.437727i
$120$	5.03157	+	17.8060i	0.459317	+	1.62546i
$121$	−7.67599	+	7.87903i	−0.697817	+	0.716276i
$122$	−12.4270	+	7.17476i	−1.12509	+	0.649572i
$123$	−0.0741298	+	1.91146i	−0.00668406	+	0.172351i
$124$	0.510015	+	4.85247i	0.0458007	+	0.435765i
$125$	−6.99369	+	9.62600i	−0.625535	+	0.860975i
$126$	−2.69244	−	7.57875i	−0.239861	−	0.675169i
$127$	−11.0254	+	3.58238i	−0.978349	+	0.317885i	−0.754182	−	0.656666i	$-0.771966\pi$
$127$	−11.0254	+	3.58238i	−0.978349	+	0.317885i	−0.224167	+	0.974551i	$0.571966\pi$
$128$	16.8714	−	7.51165i	1.49124	−	0.663942i
$129$	1.26659	−	8.76684i	0.111517	−	0.771877i
$130$	5.49828	−	1.16870i	0.482231	−	0.102501i
$131$	5.18051	+	8.97291i	0.452624	+	0.783967i	0.998548	−	0.0538672i	$-0.0171548\pi$
$131$	5.18051	+	8.97291i	0.452624	+	0.783967i	−0.545924	+	0.837834i	$0.683821\pi$
$132$	14.7580	+	18.4520i	1.28452	+	1.60604i
$133$	−3.86578	+	6.69573i	−0.335206	+	0.580593i
$134$	0.759051	−	2.33612i	0.0655720	−	0.201810i
$135$	−4.20896	−	9.75562i	−0.362249	−	0.839630i
$136$	−27.8172	−	20.2104i	−2.38531	−	1.73303i
$137$	0.0609871	−	0.286922i	0.00521048	−	0.0245134i	−0.975466	−	0.220152i	$-0.929345\pi$
$137$	0.0609871	−	0.286922i	0.00521048	−	0.0245134i	0.980676	+	0.195639i	$0.0626780\pi$
$138$	−1.53496	−	23.2382i	−0.130665	−	1.97817i
$139$	−2.07215	−	0.217791i	−0.175757	−	0.0184728i	0.0162410	−	0.999868i	$-0.494830\pi$
$139$	−2.07215	−	0.217791i	−0.175757	−	0.0184728i	−0.191998	+	0.981395i	$0.561497\pi$
$140$	−8.33095	−	3.70918i	−0.704094	−	0.313483i
$141$	3.46724	+	6.58203i	0.291995	+	0.554307i
$142$	−13.7824	−	7.95730i	−1.15660	−	0.667762i
$143$	3.02538	−	2.10849i	0.252995	−	0.176321i
$144$	11.9924	−	7.36573i	0.999369	−	0.613810i
$145$	−14.4082	−	4.68152i	−1.19654	−	0.388779i
$146$	2.03404	−	0.213787i	0.168339	−	0.0176931i
$147$	−9.46616	−	3.48679i	−0.780756	−	0.287586i
$148$	−2.65617	+	2.94998i	−0.218336	+	0.242487i
$149$	11.2077	−	12.4474i	0.918171	−	1.01973i	−0.0815630	−	0.996668i	$-0.525991\pi$
$149$	11.2077	−	12.4474i	0.918171	−	1.01973i	0.999734	−	0.0230640i	$-0.00734215\pi$
$150$	3.29107	+	1.21224i	0.268714	+	0.0989791i
$151$	−9.63700	+	1.01289i	−0.784248	+	0.0824278i	−0.488185	−	0.872740i	$-0.662341\pi$
$151$	−9.63700	+	1.01289i	−0.784248	+	0.0824278i	−0.296064	+	0.955168i	$0.595674\pi$
$152$	−35.4294	−	11.5117i	−2.87370	−	0.933723i
$153$	17.3608	+	9.40331i	1.40353	+	0.760213i
$154$	−8.88994	−	0.174742i	−0.716371	−	0.0140811i
$155$	−2.10065	−	1.21281i	−0.168728	−	0.0974152i
$156$	−3.69168	−	7.00810i	−0.295571	−	0.561097i
$157$	2.69509	+	1.19993i	0.215092	+	0.0957651i	0.511454	−	0.859310i	$-0.329107\pi$
$157$	2.69509	+	1.19993i	0.215092	+	0.0957651i	−0.296362	+	0.955076i	$0.595774\pi$
$158$	14.9923	+	1.57576i	1.19273	+	0.125360i
$159$	−1.24302	−	18.8185i	−0.0985782	−	1.49240i
$160$	0.488883	−	2.30001i	0.0386496	−	0.181832i
$161$	4.77058	+	3.46603i	0.375975	+	0.273162i
$162$	−17.2647	+	14.0388i	−1.35644	+	1.10300i
$163$	6.82701	−	21.0114i	0.534733	−	1.64574i	−0.209493	−	0.977810i	$-0.567181\pi$
$163$	6.82701	−	21.0114i	0.534733	−	1.64574i	0.744226	−	0.667928i	$-0.232819\pi$
$164$	2.27127	−	3.93396i	0.177357	−	0.307190i
$165$	−11.7336	+	0.543700i	−0.913462	+	0.0423270i
$166$	−2.71170	−	4.69680i	−0.210469	−	0.364542i
$167$	−11.3999	+	2.42313i	−0.882152	+	0.187507i	−0.626650	−	0.779301i	$-0.715574\pi$
$167$	−11.3999	+	2.42313i	−0.882152	+	0.187507i	−0.255503	+	0.966808i	$0.582241\pi$
$168$	−1.40304	+	9.71129i	−0.108247	+	0.749242i
$169$	10.7467	−	4.78475i	0.826672	−	0.368058i
$170$	31.6437	−	10.2817i	2.42696	−	0.788567i
$171$	21.0368	+	3.87686i	1.60873	+	0.296471i
$172$	−12.3639	+	17.0174i	−0.942736	+	1.29756i
$173$	1.25808	+	11.9699i	0.0956503	+	0.910052i	0.932147	+	0.362080i	$0.117933\pi$
$173$	1.25808	+	11.9699i	0.0956503	+	0.910052i	−0.836497	+	0.547972i	$0.815400\pi$
$174$	−1.22957	+	31.7050i	−0.0932137	+	2.40355i
$175$	−0.769060	+	0.444017i	−0.0581354	+	0.0335645i
$176$	−2.93522	−	15.2798i	−0.221250	−	1.15176i
$177$	1.03898	+	3.67680i	0.0780946	+	0.276366i
$178$	−11.3871	+	10.2530i	−0.853496	+	0.768491i
$179$	1.69252	+	2.32955i	0.126505	+	0.174119i	0.867571	−	0.497313i	$-0.165680\pi$
$179$	1.69252	+	2.32955i	0.126505	+	0.174119i	−0.741067	+	0.671431i	$0.765680\pi$
$180$	−1.95404	+	25.1549i	−0.145646	+	1.87494i
$181$	7.23838	+	22.2775i	0.538025	+	1.65587i	0.737021	+	0.675870i	$0.236232\pi$
$181$	7.23838	+	22.2775i	0.538025	+	1.65587i	−0.198996	+	0.980000i	$0.563768\pi$
$182$	2.91569	+	0.619750i	0.216126	+	0.0459389i
$183$	−9.90629	+	1.70739i	−0.732294	+	0.126214i
$184$	−11.5563	+	25.9558i	−0.851938	+	1.91349i
$185$	−0.410297	−	1.93030i	−0.0301656	−	0.141918i
$186$	−1.24798	+	4.92442i	−0.0915066	+	0.361076i
$187$	16.5050	−	14.2839i	1.20696	−	1.04454i
$188$		−	17.6663i		−	1.28845i
$189$	0.0651703	−	5.63390i	0.00474044	−	0.409806i
$190$	29.1635	−	21.1885i	2.11574	−	1.53718i
$191$	0.333646	+	0.749382i	0.0241418	+	0.0542234i	0.925214	−	0.379446i	$-0.123885\pi$
$191$	0.333646	+	0.749382i	0.0241418	+	0.0542234i	−0.901072	+	0.433669i	$0.857219\pi$
$192$	11.3018	−	0.746518i	0.815634	−	0.0538753i
$193$	−10.5813	−	9.52744i	−0.761659	−	0.685800i	0.193762	−	0.981049i	$-0.437931\pi$
$193$	−10.5813	−	9.52744i	−0.761659	−	0.685800i	−0.955421	+	0.295248i	$0.904598\pi$
$194$	−2.46102	+	23.4151i	−0.176691	+	1.68110i
$195$	3.89733	+	0.563066i	0.279094	+	0.0403220i
$196$	16.0295	+	17.8025i	1.14496	+	1.27161i
$197$	−13.4127			−0.955618			−0.477809	−	0.878464i	$-0.658569\pi$
$197$	−13.4127			−0.955618			−0.477809	+	0.878464i	$0.658569\pi$
$198$	7.77827	+	23.3387i	0.552777	+	1.65861i
$199$	21.2586			1.50698			0.753489	−	0.657460i	$-0.228369\pi$
$199$	21.2586			1.50698			0.753489	+	0.657460i	$0.228369\pi$
$200$	−2.86306	−	3.17975i	−0.202449	−	0.224842i
$201$	1.06462	−	1.35188i	0.0750927	−	0.0953542i
$202$	0.920537	−	8.75832i	0.0647687	−	0.616233i
$203$	−5.97025	−	5.37564i	−0.419030	−	0.377296i
$204$	−26.0679	−	38.9705i	−1.82512	−	2.72848i
$205$	0.918515	+	2.06302i	0.0641519	+	0.144087i
$206$	10.5363	−	7.65505i	0.734097	−	0.533353i
$207$	4.61774	−	15.6475i	0.320955	−	1.08758i
$208$			5.21605i			0.361668i
$209$	12.2246	−	20.2441i	0.845591	−	1.40031i
$210$	−6.80454	−	6.62196i	−0.469558	−	0.456959i
$211$	3.10519	+	14.6088i	0.213770	+	1.00571i	0.945878	+	0.324522i	$0.105203\pi$
$211$	3.10519	+	14.6088i	0.213770	+	1.00571i	−0.732108	+	0.681189i	$0.761463\pi$
$212$	−18.2159	+	40.9135i	−1.25107	+	2.80995i
$213$	−7.13330	−	8.56800i	−0.488765	−	0.587070i
$214$	−26.5676	−	5.64712i	−1.81613	−	0.386030i
$215$	−3.23141	−	9.94525i	−0.220380	−	0.678261i
$216$	26.6177	−	5.33674i	1.81110	−	0.363119i
$217$	−0.756060	−	1.04063i	−0.0513247	−	0.0706424i
$218$	4.87373	−	4.38833i	0.330091	−	0.297215i
$219$	1.38886	+	0.351976i	0.0938508	+	0.0237844i
$220$	25.2542	+	11.8439i	1.70264	+	0.798519i
$221$	−6.33712	+	3.65874i	−0.426280	+	0.246113i
$222$	−3.65671	+	1.92626i	−0.245422	+	0.129282i
$223$	2.62067	+	24.9340i	0.175493	+	1.66971i	0.628203	+	0.778049i	$0.283791\pi$
$223$	2.62067	+	24.9340i	0.175493	+	1.66971i	−0.452710	+	0.891658i	$0.649543\pi$
$224$	0.732925	−	1.00879i	0.0489706	−	0.0674023i
$225$	1.86989	+	1.59376i	0.124659	+	0.106250i
$226$	−21.7932	+	7.08105i	−1.44966	+	0.471025i
$227$	2.66748	−	1.18764i	0.177047	−	0.0788264i	−0.316299	−	0.948660i	$-0.602440\pi$
$227$	2.66748	−	1.18764i	0.177047	−	0.0788264i	0.493346	+	0.869833i	$0.335774\pi$
$228$	−39.9078	−	31.4279i	−2.64296	−	2.08137i
$229$	3.27567	−	0.696264i	0.216462	−	0.0460104i	−0.0984040	−	0.995147i	$-0.531374\pi$
$229$	3.27567	−	0.696264i	0.216462	−	0.0460104i	0.314866	+	0.949136i	$0.398040\pi$
$230$	−13.7467	−	23.8100i	−0.906432	−	1.56999i
$231$	−5.80158	−	2.26742i	−0.381716	−	0.149185i
$232$	19.3544	−	33.5228i	1.27068	−	2.20088i
$233$	3.74639	−	11.5302i	0.245434	−	0.755369i	−0.750131	−	0.661290i	$-0.770009\pi$
$233$	3.74639	−	11.5302i	0.245434	−	0.755369i	0.995565	−	0.0940790i	$-0.0299906\pi$
$234$	−1.08477	−	8.17547i	−0.0709134	−	0.534447i
$235$	7.10521	+	5.16224i	0.463493	+	0.336747i
$236$	1.88642	−	8.87490i	0.122795	−	0.577707i
$237$	9.47381	+	4.66599i	0.615390	+	0.303088i
$238$	17.5473	+	1.84429i	1.13742	+	0.119548i
$239$	6.20840	+	2.76416i	0.401588	+	0.178798i	0.597584	−	0.801806i	$-0.296127\pi$
$239$	6.20840	+	2.76416i	0.401588	+	0.178798i	−0.195996	+	0.980605i	$0.562794\pi$
$240$	8.85870	−	14.0560i	0.571827	−	0.907311i
$241$	2.82339	+	1.63009i	0.181871	+	0.105003i	0.588171	−	0.808736i	$-0.299848\pi$
$241$	2.82339	+	1.63009i	0.181871	+	0.105003i	−0.406301	+	0.913739i	$0.633181\pi$
$242$	27.1761	+	1.06877i	1.74695	+	0.0687032i
$243$	−14.7484	+	5.04820i	−0.946111	+	0.323842i
$244$	22.7029	+	7.37661i	1.45340	+	0.472239i
$245$	−11.8439	+	1.24485i	−0.756681	+	0.0795304i
$246$	3.63476	−	3.02612i	0.231744	−	0.192939i
$247$	−5.30485	+	5.89164i	−0.337540	+	0.374876i
$248$	4.14704	−	4.60576i	0.263337	−	0.292466i
$249$	−0.645308	−	3.74408i	−0.0408947	−	0.237271i
$250$	29.2572	−	3.07505i	1.85039	−	0.194483i
$251$	−11.6389	−	3.78172i	−0.734643	−	0.238700i	−0.0822830	−	0.996609i	$-0.526221\pi$
$251$	−11.6389	−	3.78172i	−0.734643	−	0.238700i	−0.652360	+	0.757909i	$0.726221\pi$
$252$	−6.37227	+	11.7647i	−0.401415	+	0.741109i
$253$	−14.3807	−	10.8864i	−0.904109	−	0.684419i
$254$	24.8227	+	14.3314i	1.55752	+	0.899233i
$255$	23.2908	+	0.903258i	1.45853	+	0.0565642i
$256$	−29.7662	−	13.2528i	−1.86039	−	0.828297i
$257$	−15.8233	−	1.66310i	−0.987033	−	0.103741i	−0.402766	−	0.915303i	$-0.631951\pi$
$257$	−15.8233	−	1.66310i	−0.987033	−	0.103741i	−0.584267	+	0.811561i	$0.698618\pi$
$258$	−18.2036	+	12.1767i	−1.13331	+	0.758085i
$259$	0.217577	−	1.02362i	0.0135196	−	0.0636047i
$260$	−7.56514	−	5.49640i	−0.469170	−	0.340872i
$261$	−8.48512	+	20.5439i	−0.525216	+	1.27163i
$262$	7.91617	−	24.3635i	0.489063	−	1.50518i
$263$	−5.95707	+	10.3180i	−0.367329	+	0.636232i	−0.989147	−	0.146929i	$-0.953061\pi$
$263$	−5.95707	+	10.3180i	−0.367329	+	0.636232i	0.621818	+	0.783162i	$0.286394\pi$
$264$	4.87443	−	29.6141i	0.300001	−	1.82262i
$265$	−11.1322	−	19.2815i	−0.683845	−	1.18445i
$266$	18.6983	−	3.97444i	1.14647	−	0.243689i
$267$	−9.96798	+	3.98269i	−0.610031	+	0.243737i
$268$	−3.73298	+	1.66203i	−0.228028	+	0.101525i
$269$	−24.0428	+	7.81198i	−1.46592	+	0.476305i	−0.929872	−	0.367884i	$-0.880082\pi$
$269$	−24.0428	+	7.81198i	−1.46592	+	0.476305i	−0.536045	+	0.844190i	$0.680082\pi$
$270$	−10.9617	+	23.8733i	−0.667106	+	1.45288i
$271$	4.66877	−	6.42601i	0.283608	−	0.390352i	−0.643317	−	0.765600i	$-0.722442\pi$
$271$	4.66877	−	6.42601i	0.283608	−	0.390352i	0.926925	+	0.375248i	$0.122442\pi$
$272$	3.22727	+	30.7054i	0.195682	+	1.86179i
$273$	1.76660	+	1.11339i	0.106919	+	0.0673852i
$274$	−0.628087	+	0.362626i	−0.0379441	+	0.0219070i
$275$	2.37858	−	1.31163i	0.143434	−	0.0790945i
$276$	−27.0199	+	27.7649i	−1.62641	+	1.67125i
$277$	7.13066	−	6.42047i	0.428440	−	0.385769i	−0.426507	−	0.904484i	$-0.640256\pi$
$277$	7.13066	−	6.42047i	0.428440	−	0.385769i	0.854947	+	0.518715i	$0.173590\pi$
$278$	3.02799	+	4.16767i	0.181607	+	0.249960i
$279$	−2.01274	+	2.93494i	−0.120500	+	0.175710i
$280$	3.57953	+	11.0167i	0.213918	+	0.658371i
$281$	−17.7500	−	3.77288i	−1.05888	−	0.225071i	−0.354615	−	0.935012i	$-0.615388\pi$
$281$	−17.7500	−	3.77288i	−1.05888	−	0.225071i	−0.704261	+	0.709941i	$0.748722\pi$
$282$	6.35761	−	17.2600i	0.378590	−	1.02782i
$283$	7.89128	−	17.7241i	0.469088	−	1.05359i	−0.511816	−	0.859095i	$-0.671027\pi$
$283$	7.89128	−	17.7241i	0.469088	−	1.05359i	0.980904	−	0.194494i	$-0.0623064\pi$
$284$	5.50442	+	25.8963i	0.326627	+	1.53666i
$285$	24.3014	−	6.86702i	1.43949	−	0.406767i
$286$	−8.87932	−	2.07054i	−0.525045	−	0.122434i
$287$			1.19753i			0.0706882i
$288$	−3.30882	−	0.976465i	−0.194974	−	0.0575387i
$289$	−21.2878	+	15.4665i	−1.25222	+	0.909792i
$290$	15.2352	+	34.2188i	0.894641	+	2.00940i
$291$	−7.28736	+	14.7962i	−0.427193	+	0.867371i
$292$	−2.52846	−	2.27664i	−0.147967	−	0.133230i
$293$	1.60794	−	15.2985i	0.0939368	−	0.893749i	−0.841501	−	0.540256i	$-0.818327\pi$
$293$	1.60794	−	15.2985i	0.0939368	−	0.893749i	0.935437	−	0.353493i	$-0.115006\pi$
$294$	9.25420	+	23.1617i	0.539716	+	1.35082i
$295$	3.01817	+	3.35202i	0.175725	+	0.195162i
$296$	5.04225			0.293075
$297$	−0.537960	+	17.2253i	−0.0312156	+	0.999513i
$298$	−41.4129			−2.39899
$299$	4.04594	+	4.49348i	0.233983	+	0.259864i
$300$	−2.16476	−	5.41801i	−0.124982	−	0.312809i
$301$	0.579641	−	5.51492i	0.0334100	−	0.317874i
$302$	17.8046	+	16.0313i	1.02454	+	0.922498i
$303$	2.72581	−	5.53448i	0.156594	−	0.317947i
$304$	13.6055	+	30.5585i	0.780330	+	1.75265i
$305$	−9.60077	+	6.97537i	−0.549738	+	0.399408i
$306$	−11.4440	−	47.4555i	−0.654211	−	2.71285i
$307$			5.86988i			0.335012i	0.985871	+	0.167506i	$0.0535713\pi$
$307$			5.86988i			0.335012i	−0.985871	+	0.167506i	$0.946429\pi$
$308$	9.67968	+	11.1848i	0.551551	+	0.637313i
$309$	8.77967	−	2.48094i	0.499458	−	0.141136i
$310$	1.24690	+	5.86620i	0.0708192	+	0.333178i
$311$	10.7581	−	24.1632i	0.610038	−	1.37017i	−0.299320	−	0.954153i	$-0.596760\pi$
$311$	10.7581	−	24.1632i	0.610038	−	1.37017i	0.909358	−	0.416015i	$-0.136574\pi$
$312$	−3.47763	+	9.44128i	−0.196882	+	0.534507i
$313$	−7.58871	−	1.61303i	−0.428939	−	0.0911738i	−0.0116171	−	0.999933i	$-0.503698\pi$
$313$	−7.58871	−	1.61303i	−0.428939	−	0.0911738i	−0.417322	+	0.908759i	$0.637031\pi$
$314$	−2.25401	−	6.93714i	−0.127201	−	0.391485i
$315$	−2.86963	−	6.00062i	−0.161685	−	0.338097i
$316$	−14.7404	−	20.2885i	−0.829214	−	1.14132i
$317$	4.58523	−	4.12856i	0.257532	−	0.231883i	−0.530243	−	0.847846i	$-0.677899\pi$
$317$	4.58523	−	4.12856i	0.257532	−	0.231883i	0.787775	+	0.615963i	$0.211233\pi$
$318$	−32.5206	+	33.4173i	−1.82367	+	1.87395i
$319$	17.9347	+	16.7983i	1.00415	+	0.940525i
$320$	11.5798	−	6.68562i	0.647332	−	0.373738i
$321$	−16.0971	−	10.1451i	−0.898455	−	0.566245i
$322$	−1.52398	−	14.4997i	−0.0849279	−	0.808035i
$323$	−27.5829	+	37.9646i	−1.53475	+	2.11241i
$324$	36.5737	+	5.71659i	2.03187	+	0.317589i
$325$	−0.866026	+	0.281389i	−0.0480385	+	0.0156086i
$326$	−49.9009	+	22.2173i	−2.76376	+	1.23050i
$327$	4.26636	−	1.70462i	0.235930	−	0.0942655i
$328$	−5.64394	+	1.19966i	−0.311634	+	0.0662399i
$329$	2.32865	+	4.03334i	0.128383	+	0.222365i
$330$	20.4111	+	20.6599i	1.12360	+	1.13729i
$331$	8.44643	−	14.6297i	0.464258	−	0.804118i	−0.534910	−	0.844909i	$-0.679654\pi$
$331$	8.44643	−	14.6297i	0.464258	−	0.804118i	0.999168	+	0.0407908i	$0.0129877\pi$
$332$	−2.78799	+	8.58054i	−0.153011	+	0.470918i
$333$	−2.87019	+	0.380832i	−0.157285	+	0.0208695i
$334$	23.3123	+	16.9374i	1.27559	+	0.926772i
$335$	0.422356	−	1.98703i	0.0230758	−	0.108563i
$336$	7.32329	−	4.89864i	0.399518	−	0.267243i
$337$	30.0047	+	3.15362i	1.63446	+	0.171789i	0.876798	−	0.480860i	$-0.159675\pi$
$337$	30.0047	+	3.15362i	1.63446	+	0.171789i	0.757661	+	0.652648i	$0.226342\pi$
$338$	−26.5709	−	11.8301i	−1.44527	−	0.643474i
$339$	−16.0406	−	0.622080i	−0.871204	−	0.0337868i
$340$	−47.9345	−	27.6750i	−2.59962	−	1.50089i
$341$	2.24958	+	3.22782i	0.121822	+	0.174797i
$342$	−27.6800	−	45.0669i	−1.49676	−	2.43694i
$343$	−13.2250	−	4.29705i	−0.714081	−	0.232019i
$344$	26.5723	−	2.79286i	1.43268	−	0.150581i
$345$	−3.27133	−	18.9803i	−0.176123	−	1.02186i
$346$	19.9120	−	22.1146i	1.07048	−	1.18889i
$347$	−11.8785	+	13.1925i	−0.637673	+	0.708208i	−0.972193	−	0.234181i	$-0.924759\pi$
$347$	−11.8785	+	13.1925i	−0.637673	+	0.708208i	0.334520	+	0.942389i	$0.391426\pi$
$348$	40.5644	−	33.7719i	2.17448	−	1.81036i
$349$	−9.27936	+	0.975300i	−0.496713	+	0.0522066i	−0.349573	−	0.936909i	$-0.613673\pi$
$349$	−9.27936	+	0.975300i	−0.496713	+	0.0522066i	−0.147140	+	0.989116i	$0.547007\pi$
$350$	2.08817	+	0.678487i	0.111617	+	0.0362667i
$351$	1.26648	−	5.63689i	0.0675995	−	0.300875i
$352$	−2.30202	+	3.04094i	−0.122698	+	0.162083i
$353$	12.6509	+	7.30399i	0.673339	+	0.388752i	0.797341	−	0.603530i	$-0.206239\pi$
$353$	12.6509	+	7.30399i	0.673339	+	0.388752i	−0.124002	+	0.992282i	$0.539573\pi$
$354$	5.03687	−	7.99194i	0.267706	−	0.424767i
$355$	−12.0237	−	5.35328i	−0.638150	−	0.284123i
$356$	25.3507	+	2.66446i	1.34358	+	0.141216i
$357$	11.0883	+	5.46116i	0.586856	+	0.289035i
$358$	1.48021	−	6.96384i	0.0782315	−	0.368050i
$359$	13.4671	+	9.78443i	0.710767	+	0.516402i	0.883421	−	0.468580i	$-0.155234\pi$
$359$	13.4671	+	9.78443i	0.710767	+	0.516402i	−0.172654	+	0.984983i	$0.555234\pi$
$360$	25.4060	−	19.5357i	1.33901	−	1.02962i
$361$	−9.83971	+	30.2835i	−0.517880	+	1.59387i
$362$	28.9574	−	50.1557i	1.52197	−	2.63612i
$363$	17.6057	+	7.28282i	0.924059	+	0.382249i
$364$	−2.47939	−	4.29443i	−0.129955	−	0.225089i
$365$	1.65448	−	0.351671i	0.0865995	−	0.0184073i
$366$	19.5261	+	15.3771i	1.02065	+	0.803774i
$367$	26.9769	−	12.0109i	1.40818	−	0.626963i	0.444930	−	0.895565i	$-0.353228\pi$
$367$	26.9769	−	12.0109i	1.40818	−	0.626963i	0.963251	+	0.268602i	$0.0865617\pi$
$368$	24.2636	−	7.88371i	1.26483	−	0.410967i
$369$	3.12207	−	1.10915i	0.162529	−	0.0577402i
$370$	−2.86793	+	3.94736i	−0.149096	+	0.205214i
$371$	−1.23413	−	11.7419i	−0.0640727	−	0.609611i
$372$	7.47705	−	3.93872i	0.387667	−	0.204213i
$373$	−6.04790	+	3.49176i	−0.313148	+	0.180796i	−0.648334	−	0.761356i	$-0.724534\pi$
$373$	−6.04790	+	3.49176i	−0.313148	+	0.180796i	0.335186	+	0.942152i	$0.391201\pi$
$374$	−53.5511	−	6.69489i	−2.76906	−	0.346185i
$375$	19.9771	+	5.06274i	1.03161	+	0.261439i
$376$	−16.6762	+	15.0153i	−0.860011	+	0.774357i
$377$	−4.84209	−	6.66457i	−0.249381	−	0.343243i
$378$	−10.4595	+	9.20098i	−0.537980	+	0.473248i
$379$	−10.0677	−	30.9850i	−0.517140	−	1.59159i	−0.779353	−	0.626585i	$-0.784452\pi$
$379$	−10.0677	−	30.9850i	−0.517140	−	1.59159i	0.262213	−	0.965010i	$-0.415548\pi$
$380$	−58.6575	−	12.4680i	−3.00907	−	0.639597i
$381$	12.8474	+	15.4313i	0.658190	+	0.790571i
$382$	0.824929	−	1.85282i	0.0422070	−	0.0947986i
$383$	5.10003	+	23.9938i	0.260600	+	1.22602i	0.892526	+	0.450996i	$0.148931\pi$
$383$	5.10003	+	23.9938i	0.260600	+	1.22602i	−0.631926	+	0.775028i	$0.717736\pi$
$384$	−22.9242	−	22.3091i	−1.16984	−	1.13845i
$385$	−7.32690	+	0.624778i	−0.373413	+	0.0318417i
$386$			35.2043i			1.79185i
$387$	−14.9147	+	3.59673i	−0.758158	+	0.182832i
$388$	31.6866	−	23.0217i	1.60864	−	1.16875i
$389$	−11.1419	−	25.0252i	−0.564918	−	1.26883i	−0.939791	−	0.341750i	$-0.888980\pi$
$389$	−11.1419	−	25.0252i	−0.564918	−	1.26883i	0.374873	−	0.927076i	$-0.377686\pi$
$390$	−5.41317	−	8.09249i	−0.274107	−	0.409779i
$391$	26.5975	+	23.9485i	1.34509	+	1.21113i
$392$	3.18069	−	30.2622i	0.160649	−	1.52847i
$393$	11.1030	−	14.0988i	0.560072	−	0.711190i
$394$	22.1901	+	24.6446i	1.11792	+	1.24158i
$395$	12.4671			0.627288
$396$	20.1945	−	35.5951i	1.01481	−	1.78872i
$397$	20.5147			1.02960			0.514801	−	0.857310i	$-0.327866\pi$
$397$	20.5147			1.02960			0.514801	+	0.857310i	$0.327866\pi$
$398$	−35.1702	−	39.0604i	−1.76292	−	1.95792i
$399$	13.2538	+	1.91485i	0.663522	+	0.0958623i
$400$	−0.401604	+	3.82101i	−0.0200802	+	0.191050i
$401$	−7.43411	−	6.69370i	−0.371242	−	0.334267i	0.462301	−	0.886723i	$-0.347024\pi$
$401$	−7.43411	−	6.69370i	−0.371242	−	0.334267i	−0.833542	+	0.552456i	$0.813691\pi$
$402$	−4.24526	+	0.280413i	−0.211734	+	0.0139857i
$403$	−0.536471	−	1.20493i	−0.0267235	−	0.0600220i
$404$	−11.8523	+	8.61117i	−0.589672	+	0.428422i
$405$	−12.9863	+	13.0391i	−0.645294	+	0.647920i
$406$			19.8632i			0.985795i
$407$	−0.726911	+	3.11729i	−0.0360316	+	0.154518i
$408$	−14.6303	+	57.7297i	−0.724307	+	2.85805i
$409$	−1.69115	−	7.95624i	−0.0836220	−	0.393411i	0.916354	−	0.400369i	$-0.131118\pi$
$409$	−1.69115	−	7.95624i	−0.0836220	−	0.393411i	−0.999976	+	0.00695894i	$0.997785\pi$
$410$	2.27100	−	5.10074i	0.112156	−	0.251908i
$411$	−0.500683	+	0.0862948i	−0.0246969	+	0.00425661i
$412$	−21.1920	−	4.50449i	−1.04405	−	0.221920i
$413$	0.739146	+	2.27486i	0.0363710	+	0.111938i
$414$	−36.3904	+	17.4027i	−1.78849	+	0.855296i
$415$	−2.63634	−	3.62861i	−0.129413	−	0.178121i
$416$	0.950188	−	0.855553i	0.0465868	−	0.0419470i
$417$	0.981346	+	3.47284i	0.0480567	+	0.170066i
$418$	−57.4207	+	11.0304i	−2.80854	+	0.539514i
$419$	22.7014	−	13.1067i	1.10904	−	0.640302i	0.170456	−	0.985365i	$-0.445476\pi$
$419$	22.7014	−	13.1067i	1.10904	−	0.640302i	0.938579	+	0.345064i	$0.112143\pi$
$420$	−0.612104	+	15.7833i	−0.0298676	+	0.770148i
$421$	3.91539	+	37.2524i	0.190824	+	1.81557i	0.501611	+	0.865093i	$0.332741\pi$
$421$	3.91539	+	37.2524i	0.190824	+	1.81557i	−0.310787	+	0.950480i	$0.600593\pi$
$422$	21.7049	−	29.8743i	1.05658	−	1.45426i
$423$	8.35848	−	9.80666i	0.406403	−	0.476816i
$424$	54.1031	−	17.5791i	2.62748	−	0.853719i
$425$	−4.92394	+	2.19228i	−0.238846	+	0.106341i
$426$	−3.94151	+	27.2816i	−0.190967	+	1.32180i
$427$	−6.15556	+	1.30840i	−0.297888	+	0.0633181i
$428$	22.5920	+	39.1306i	1.09203	+	1.89145i
$429$	−5.33556	−	3.51108i	−0.257603	−	0.169516i
$430$	−12.9274	+	22.3908i	−0.623412	+	1.07978i
$431$	7.37759	−	22.7059i	0.355366	−	1.09370i	−0.600431	−	0.799677i	$-0.705004\pi$
$431$	7.37759	−	22.7059i	0.355366	−	1.09370i	0.955797	−	0.294027i	$-0.0949957\pi$
$432$	−19.5540	−	14.5553i	−0.940792	−	0.700294i
$433$	17.3812	+	12.6282i	0.835286	+	0.606871i	0.921050	−	0.389445i	$-0.127333\pi$
$433$	17.3812	+	12.6282i	0.835286	+	0.606871i	−0.0857640	+	0.996315i	$0.527333\pi$
$434$	−0.661221	+	3.11080i	−0.0317396	+	0.149323i
$435$	1.72947	+	26.1830i	0.0829220	+	1.25538i
$436$	−10.8502	−	1.14041i	−0.519633	−	0.0546156i
$437$	35.4241	+	15.7718i	1.69457	+	0.754469i
$438$	−1.65102	−	3.13421i	−0.0788887	−	0.149758i
$439$	8.94708	+	5.16560i	0.427021	+	0.246541i	0.698077	−	0.716023i	$-0.254039\pi$
$439$	8.94708	+	5.16560i	0.427021	+	0.246541i	−0.271056	+	0.962564i	$0.587373\pi$
$440$	−10.2844	−	33.9056i	−0.490292	−	1.61638i
$441$	0.475118	+	17.4663i	0.0226247	+	0.831729i
$442$	17.2067	+	5.59079i	0.818439	+	0.265927i
$443$	31.5603	−	3.31712i	1.49948	−	0.157601i	0.681060	−	0.732228i	$-0.261519\pi$
$443$	31.5603	−	3.31712i	1.49948	−	0.157601i	0.818416	+	0.574627i	$0.194853\pi$
$444$	6.45177	+	2.37646i	0.306187	+	0.112782i
$445$	−8.47930	+	9.41722i	−0.401957	+	0.446419i
$446$	41.4782	−	46.0662i	1.96405	−	2.18130i
$447$	−27.2232	−	10.0275i	−1.28761	−	0.474283i
$448$	7.05182	−	0.741176i	0.333167	−	0.0350173i
$449$	8.43287	+	2.74001i	0.397972	+	0.129309i	0.501163	−	0.865353i	$-0.332906\pi$
$449$	8.43287	+	2.74001i	0.397972	+	0.129309i	−0.103192	+	0.994661i	$0.532906\pi$
$450$	−0.165182	−	6.07245i	−0.00778678	−	0.286258i
$451$	0.0719854	−	3.66222i	0.00338966	−	0.172447i
$452$	33.0129	+	19.0600i	1.55279	+	0.896507i
$453$	7.82229	+	14.8494i	0.367523	+	0.697687i
$454$	−6.59525	−	2.93640i	−0.309531	−	0.137812i
$455$	2.45167	+	0.257681i	0.114936	+	0.0120803i
$456$	4.25272	+	64.3832i	0.199152	+	3.01502i
$457$	−3.49450	+	16.4403i	−0.163466	+	0.769046i	0.817664	+	0.575696i	$0.195269\pi$
$457$	−3.49450	+	16.4403i	−0.163466	+	0.769046i	−0.981130	+	0.193350i	$0.938065\pi$
$458$	−6.69858	−	4.86681i	−0.313004	−	0.227411i
$459$	3.96773	−	33.9663i	0.185198	−	1.58541i
$460$	−14.1335	+	43.4983i	−0.658976	+	2.02812i
$461$	4.98284	−	8.63053i	0.232074	−	0.401964i	−0.726344	−	0.687331i	$-0.758782\pi$
$461$	4.98284	−	8.63053i	0.232074	−	0.401964i	0.958418	+	0.285367i	$0.0921155\pi$
$462$	5.43198	+	14.4110i	0.252718	+	0.670462i
$463$	−17.6360	−	30.5465i	−0.819616	−	1.41962i	−0.905966	−	0.423352i	$-0.860854\pi$
$463$	−17.6360	−	30.5465i	−0.819616	−	1.41962i	0.0863496	−	0.996265i	$-0.472480\pi$
$464$	−33.9984	+	7.22658i	−1.57833	+	0.335485i
$465$	−0.600744	+	4.15812i	−0.0278588	+	0.192828i
$466$	−27.3836	+	12.1920i	−1.26852	+	0.564782i
$467$	−3.77750	+	1.22739i	−0.174802	+	0.0567966i	−0.395110	−	0.918634i	$-0.629294\pi$
$467$	−3.77750	+	1.22739i	−0.174802	+	0.0567966i	0.220308	+	0.975430i	$0.429294\pi$
$468$	−8.89954	+	10.4415i	−0.411381	+	0.482657i
$469$	0.633189	−	0.871510i	0.0292379	−	0.0402426i
$470$	−2.26978	−	21.5955i	−0.104697	−	0.996127i
$471$	0.198018	−	5.10597i	0.00912419	−	0.235271i
$472$	−9.98087	+	5.76246i	−0.459407	+	0.265239i
$473$	−2.10413	+	16.8305i	−0.0967479	+	0.773867i
$474$	−7.10020	−	25.1266i	−0.326123	−	1.15410i
$475$	−4.33968	+	3.90747i	−0.199118	+	0.179287i
$476$	−17.2525	−	23.7460i	−0.790766	−	1.08840i
$477$	−29.4692	+	14.0928i	−1.34930	+	0.645266i
$478$	−5.19232	−	15.9803i	−0.237491	−	0.730923i
$479$	−33.0561	−	7.02630i	−1.51037	−	0.321040i	−0.623048	−	0.782184i	$-0.714106\pi$
$479$	−33.0561	−	7.02630i	−1.51037	−	0.321040i	−0.887325	+	0.461144i	$0.847439\pi$
$480$	−4.01356	+	0.691754i	−0.183193	+	0.0315741i
$481$	0.436458	−	0.980302i	0.0199008	−	0.0446979i
$482$	−1.67591	−	7.88451i	−0.0763354	−	0.359130i
$483$	2.50906	−	9.90051i	0.114166	−	0.450489i
$484$	−28.9294	−	34.7865i	−1.31497	−	1.58120i
$485$			19.4712i			0.884141i
$486$	33.6754	+	18.7470i	1.52755	+	0.850380i
$487$	12.5920	−	9.14862i	0.570598	−	0.414563i	−0.264725	−	0.964324i	$-0.585281\pi$
$487$	12.5920	−	9.14862i	0.570598	−	0.414563i	0.835322	+	0.549761i	$0.185281\pi$
$488$	−12.3329	−	27.7002i	−0.558286	−	1.25393i
$489$	−38.1824	+	2.52208i	−1.72667	+	0.114052i
$490$	21.8819	+	19.7026i	0.988524	+	0.890071i
$491$	0.872254	−	8.29894i	0.0393643	−	0.374526i	−0.957050	−	0.289922i	$-0.906371\pi$
$491$	0.872254	−	8.29894i	0.0393643	−	0.374526i	0.996415	−	0.0846043i	$-0.0269626\pi$
$492$	−7.78707	−	1.12503i	−0.351068	−	0.0507205i
$493$	−32.6275	−	36.2365i	−1.46947	−	1.63201i
$494$	19.6016			0.881920
$495$	8.41501	+	18.5232i	0.378226	+	0.832556i
$496$	−5.56509			−0.249880
$497$	−4.67017	−	5.18675i	−0.209486	−	0.232657i
$498$	−5.81177	+	7.37990i	−0.260432	+	0.330701i
$499$	0.0190581	−	0.181325i	0.000853156	−	0.00811723i	−0.994087	−	0.108586i	$-0.965368\pi$
$499$	0.0190581	−	0.181325i	0.000853156	−	0.00811723i	0.994940	+	0.100469i	$0.0320343\pi$
$500$	−36.3688	−	32.7466i	−1.62646	−	1.46447i
$501$	11.2235	+	16.7787i	0.501427	+	0.749615i
$502$	12.3070	+	27.6419i	0.549286	+	1.23372i
$503$	−11.2333	+	8.16148i	−0.500869	+	0.363902i	−0.809349	−	0.587328i	$-0.800180\pi$
$503$	−11.2333	+	8.16148i	−0.500869	+	0.363902i	0.308480	+	0.951231i	$0.400180\pi$
$504$	16.5215	−	3.98420i	0.735925	−	0.177470i
$505$		−	7.28312i		−	0.324095i
$506$	3.78893	+	44.4335i	0.168439	+	1.97531i
$507$	−14.6022	−	14.2104i	−0.648505	−	0.631105i
$508$	−9.91369	−	46.6402i	−0.439849	−	2.06933i
$509$	−10.4443	+	23.4583i	−0.462935	+	1.03977i	0.519722	+	0.854336i	$0.326036\pi$
$509$	−10.4443	+	23.4583i	−0.462935	+	1.03977i	−0.982657	+	0.185434i	$0.940631\pi$
$510$	−36.8728	−	44.2889i	−1.63275	−	1.96115i
$511$	0.877357	+	0.186488i	0.0388120	+	0.00824975i
$512$	13.4807	+	41.4893i	0.595768	+	1.83359i
$513$	−7.28351	−	36.3275i	−0.321575	−	1.60390i
$514$	23.1224	+	31.8252i	1.01988	+	1.40375i
$515$	8.00413	−	7.20695i	0.352704	−	0.317576i
$516$	35.3166	+	8.95020i	1.55473	+	0.394011i
$517$	−6.87887	−	12.4745i	−0.302533	−	0.548627i
$518$	−2.24076	+	1.29370i	−0.0984533	+	0.0568420i
$519$	18.4441	−	9.71585i	0.809604	−	0.426478i
$520$	1.24158	+	11.8128i	0.0544467	+	0.518026i
$521$	23.3218	−	32.0997i	1.02175	−	1.40631i	0.110774	−	0.993846i	$-0.464667\pi$
$521$	23.3218	−	32.0997i	1.02175	−	1.40631i	0.910972	−	0.412468i	$-0.135333\pi$
$522$	51.7851	−	18.3973i	2.26657	−	0.805226i
$523$	3.90330	−	1.26826i	0.170679	−	0.0554571i	−0.222431	−	0.974949i	$-0.571399\pi$
$523$	3.90330	−	1.26826i	0.170679	−	0.0554571i	0.393110	+	0.919491i	$0.371399\pi$
$524$	−38.9314	+	17.3334i	−1.70073	+	0.757212i
$525$	1.20839	+	0.951627i	0.0527387	+	0.0415324i
$526$	28.8136	−	6.12452i	1.25633	−	0.267042i
$527$	−3.90356	−	6.76117i	−0.170042	−	0.294521i
$528$	−22.6901	+	14.5405i	−0.987458	+	0.632794i
$529$	3.28719	−	5.69357i	0.142921	−	0.247547i
$530$	−17.0107	+	52.3536i	−0.738899	+	2.27410i
$531$	5.24615	−	4.03398i	0.227664	−	0.175060i
$532$	−25.7272	−	18.6919i	−1.11541	−	0.810396i
$533$	−0.255307	+	1.20112i	−0.0110586	+	0.0520264i
$534$	23.8088	+	11.7262i	1.03031	+	0.507442i
$535$	−22.3395	−	2.34798i	−0.965822	−	0.101512i
$536$	4.74171	+	2.11114i	0.204811	+	0.0911875i
$537$	2.65921	−	4.21934i	0.114753	−	0.182078i
$538$	54.1302	+	31.2521i	2.33372	+	1.34737i
$539$	18.2506	+	6.32913i	0.786108	+	0.272615i
$540$	41.7154	−	13.0227i	1.79515	−	0.560407i
$541$	23.5956	+	7.66668i	1.01445	+	0.329616i	0.768627	−	0.639697i	$-0.220940\pi$
$541$	23.5956	+	7.66668i	1.01445	+	0.329616i	0.245828	+	0.969314i	$0.420940\pi$
$542$	−19.5312	+	2.05281i	−0.838936	+	0.0881757i
$543$	31.1798	−	25.9588i	1.33805	−	1.11400i
$544$	5.06414	−	5.62429i	0.217123	−	0.241140i
$545$	3.62919	−	4.03063i	0.155458	−	0.172653i
$546$	−0.876926	−	5.08793i	−0.0375290	−	0.217743i
$547$	−38.9111	+	4.08972i	−1.66372	+	0.174864i	−0.889146	−	0.457623i	$-0.848701\pi$
$547$	−38.9111	+	4.08972i	−1.66372	+	0.174864i	−0.774571	+	0.632487i	$0.782034\pi$
$548$	1.14745	+	0.372828i	0.0490165	+	0.0159264i
$549$	9.11239	+	14.8362i	0.388907	+	0.633195i
$550$	−6.34512	−	2.20043i	−0.270557	−	0.0938265i
$551$	−45.7515	−	26.4146i	−1.94908	−	1.12530i
$552$	49.1743	+	1.90706i	2.09300	+	0.0811699i
$553$	6.03964	+	2.68902i	0.256831	+	0.114349i
$554$	−23.5939	−	2.47982i	−1.00241	−	0.105358i
$555$	−2.84105	+	1.90042i	−0.120596	+	0.0806682i
$556$	1.78177	−	8.38258i	0.0755639	−	0.355500i
$557$	4.19799	+	3.05002i	0.177874	+	0.129233i	0.673160	−	0.739497i	$-0.264937\pi$
$557$	4.19799	+	3.05002i	0.177874	+	0.129233i	−0.495285	+	0.868730i	$0.664937\pi$
$558$	8.72254	−	1.15736i	0.369255	−	0.0489948i
$559$	1.75712	−	5.40787i	0.0743184	−	0.228728i
$560$	5.20065	−	9.00779i	0.219768	−	0.380649i
$561$	−33.5813	−	17.3675i	−1.41780	−	0.733256i
$562$	22.4333	+	38.8557i	0.946294	+	1.63903i
$563$	7.87812	−	1.67455i	0.332023	−	0.0705737i	−0.0388838	−	0.999244i	$-0.512380\pi$
$563$	7.87812	−	1.67455i	0.332023	−	0.0705737i	0.370907	+	0.928670i	$0.379047\pi$
$564$	−28.4148	+	11.3531i	−1.19648	+	0.478051i
$565$	−17.3124	+	7.70797i	−0.728337	+	0.324277i
$566$	−45.6216	+	14.8234i	−1.91762	+	0.623072i
$567$	−9.10355	+	3.51575i	−0.382313	+	0.147648i
$568$	19.7665	−	27.2063i	0.829385	−	1.14155i
$569$	3.17482	+	30.2064i	0.133096	+	1.26632i	0.833478	+	0.552552i	$0.186346\pi$
$569$	3.17482	+	30.2064i	0.133096	+	1.26632i	−0.700383	+	0.713767i	$0.746987\pi$
$570$	−52.8217	−	33.2906i	−2.21246	−	1.39439i
$571$	−33.4911	+	19.3361i	−1.40156	+	0.809190i	−0.994553	−	0.104236i	$-0.966760\pi$
$571$	−33.4911	+	19.3361i	−1.40156	+	0.809190i	−0.407005	+	0.913426i	$0.633427\pi$
$572$	7.32416	+	13.2820i	0.306238	+	0.555347i
$573$	0.990906	−	1.01823i	0.0413957	−	0.0425370i
$574$	2.20035	−	1.98120i	0.0918408	−	0.0826938i
$575$	2.61788	+	3.60320i	0.109173	+	0.150264i
$576$	−8.46368	−	17.6982i	−0.352654	−	0.737426i
$577$	5.09511	+	15.6811i	0.212112	+	0.652815i	0.999346	+	0.0361598i	$0.0115125\pi$
$577$	5.09511	+	15.6811i	0.212112	+	0.652815i	−0.787234	+	0.616655i	$0.788487\pi$
$578$	63.6366	+	13.5264i	2.64693	+	0.562623i
$579$	−8.52415	+	23.1419i	−0.354252	+	0.961744i
$580$	25.3446	−	56.9248i	1.05238	−	2.36368i
$581$	−0.494511	−	2.32649i	−0.0205158	−	0.0965192i
$582$	39.2428	−	11.0891i	1.62667	−	0.459659i
$583$	3.06830	+	35.9826i	0.127076	+	1.49025i
$584$			4.32178i			0.178836i
$585$	−1.59894	−	6.63039i	−0.0661079	−	0.274133i
$586$	−30.7697	+	22.3555i	−1.27108	+	0.923496i
$587$	18.4063	+	41.3412i	0.759709	+	1.70633i	0.706460	+	0.707753i	$0.250291\pi$
$587$	18.4063	+	41.3412i	0.759709	+	1.70633i	0.0532493	+	0.998581i	$0.483042\pi$
$588$	18.3327	−	37.2227i	0.756029	−	1.53504i
$589$	−6.28588	−	5.65983i	−0.259005	−	0.233209i
$590$	1.16573	−	11.0912i	0.0479923	−	0.456616i
$591$	8.61958	+	21.5733i	0.354562	+	0.887408i
$592$	−3.02956	−	3.36467i	−0.124514	−	0.138287i
$593$	−4.03343			−0.165633			−0.0828166	−	0.996565i	$-0.526392\pi$
$593$	−4.03343			−0.165633			−0.0828166	+	0.996565i	$0.526392\pi$
$594$	32.5397	−	27.5091i	1.33512	−	1.12871i
$595$	14.5917			0.598203
$596$	46.0982	+	51.1972i	1.88826	+	2.09712i
$597$	−13.6616	−	34.1927i	−0.559133	−	1.39941i
$598$	1.56269	−	14.8680i	0.0639033	−	0.607999i
$599$	−4.60639	−	4.14761i	−0.188212	−	0.169467i	0.569638	−	0.821896i	$-0.307083\pi$
$599$	−4.60639	−	4.14761i	−0.188212	−	0.169467i	−0.757850	+	0.652429i	$0.773750\pi$
$600$	−3.27445	+	6.64844i	−0.133679	+	0.271421i
$601$	−19.3713	−	43.5087i	−0.790174	−	1.77476i	−0.612165	−	0.790730i	$-0.709701\pi$
$601$	−19.3713	−	43.5087i	−0.790174	−	1.77476i	−0.178008	−	0.984029i	$-0.556965\pi$
$602$	−11.0921	+	8.05885i	−0.452079	+	0.328454i
$603$	−2.85856	−	0.843588i	−0.116410	−	0.0343535i
$604$		−	39.8561i		−	1.62172i
$605$	22.4442	−	1.47023i	0.912486	−	0.0597732i
$606$	−14.6786	+	4.14785i	−0.596278	+	0.168495i
$607$	1.72601	+	8.12026i	0.0700568	+	0.329591i	0.999194	−	0.0401441i	$-0.0127817\pi$
$607$	1.72601	+	8.12026i	0.0700568	+	0.329591i	−0.929137	+	0.369735i	$0.879448\pi$
$608$	3.33510	−	7.49077i	0.135256	−	0.303791i
$609$	−4.80956	+	13.0573i	−0.194893	+	0.529108i
$610$	28.7001	+	6.10039i	1.16203	+	0.246997i
$611$	1.47575	+	4.54188i	0.0597023	+	0.183745i
$612$	−45.9287	+	66.9722i	−1.85656	+	2.70719i
$613$	−13.0470	−	17.9576i	−0.526962	−	0.725301i	0.459702	−	0.888073i	$-0.347956\pi$
$613$	−13.0470	−	17.9576i	−0.526962	−	0.725301i	−0.986664	+	0.162773i	$0.947956\pi$
$614$	10.7853	−	9.71114i	0.435260	−	0.391910i
$615$	2.72792	−	2.80314i	0.110000	−	0.113033i
$616$	2.33080	−	18.6436i	0.0939108	−	0.751174i
$617$	−2.63944	+	1.52388i	−0.106260	+	0.0613492i	−0.552188	−	0.833720i	$-0.686207\pi$
$617$	−2.63944	+	1.52388i	−0.106260	+	0.0613492i	0.445928	+	0.895069i	$0.352874\pi$
$618$	−19.0836	−	12.0273i	−0.767654	−	0.483809i
$619$	−2.58526	−	24.5971i	−0.103910	−	0.988642i	−0.914927	−	0.403619i	$-0.867752\pi$
$619$	−2.58526	−	24.5971i	−0.103910	−	0.988642i	0.811017	−	0.585023i	$-0.198915\pi$
$620$	5.86420	−	8.07137i	0.235512	−	0.324154i
$621$	−28.1354	+	2.62849i	−1.12903	+	0.105478i
$622$	−62.1957	+	20.2086i	−2.49382	+	0.810291i
$623$	−6.13895	+	2.73324i	−0.245952	+	0.109505i
$624$	8.38959	−	3.35205i	0.335853	−	0.134189i
$625$	19.7922	−	4.20696i	0.791688	−	0.168278i
$626$	9.59099	+	16.6121i	0.383333	+	0.663952i
$627$	−40.4169	−	6.65256i	−1.61410	−	0.265678i
$628$	−6.06710	+	10.5085i	−0.242104	+	0.419336i
$629$	1.96277	−	6.04080i	0.0782609	−	0.240862i
$630$	−6.27801	+	15.2001i	−0.250122	+	0.605586i
$631$	−15.6052	−	11.3378i	−0.621233	−	0.451352i	0.232119	−	0.972687i	$-0.425434\pi$
$631$	−15.6052	−	11.3378i	−0.621233	−	0.451352i	−0.853352	+	0.521335i	$0.825434\pi$
$632$	−6.62292	+	31.1584i	−0.263446	+	1.23941i
$633$	21.5015	−	14.3827i	0.854609	−	0.571660i
$634$	−15.1716	−	1.59460i	−0.602542	−	0.0633297i
$635$	21.6551	+	9.64148i	0.859357	+	0.382610i
$636$	77.5123	+	3.00606i	3.07356	+	0.119198i
$637$	−5.60819	−	3.23789i	−0.222204	−	0.128290i
$638$	1.19400	−	60.7443i	0.0472711	−	2.40489i
$639$	−9.19680	+	16.9795i	−0.363820	+	0.671698i
$640$	−35.9145	−	11.6693i	−1.41964	−	0.461270i
$641$	−0.279901	+	0.0294188i	−0.0110554	+	0.00116197i	−0.110055	−	0.993926i	$-0.535103\pi$
$641$	−0.279901	+	0.0294188i	−0.0110554	+	0.00116197i	0.0989991	+	0.995088i	$0.468436\pi$
$642$	7.99050	+	46.3610i	0.315360	+	1.82972i
$643$	8.19973	−	9.10672i	0.323366	−	0.359134i	−0.559441	−	0.828870i	$-0.688984\pi$
$643$	8.19973	−	9.10672i	0.323366	−	0.359134i	0.882807	+	0.469736i	$0.155651\pi$
$644$	−16.2290	+	18.0241i	−0.639512	+	0.710251i
$645$	−13.9195	+	11.5887i	−0.548080	+	0.456304i
$646$	115.389	−	12.1279i	4.53993	−	0.477166i
$647$	−12.4773	−	4.05411i	−0.490532	−	0.159383i	0.0532987	−	0.998579i	$-0.483026\pi$
$647$	−12.4773	−	4.05411i	−0.490532	−	0.159383i	−0.543830	+	0.839195i	$0.683026\pi$
$648$	−25.6893	−	39.3827i	−1.00917	−	1.54710i
$649$	−2.12366	−	7.00125i	−0.0833610	−	0.274823i
$650$	1.94978	+	1.12571i	0.0764766	+	0.0441538i
$651$	−1.18789	+	1.88481i	−0.0465571	+	0.0738716i
$652$	83.0129	+	36.9597i	3.25104	+	1.44745i
$653$	−6.95495	−	0.730994i	−0.272168	−	0.0286060i	−0.0325388	−	0.999470i	$-0.510359\pi$
$653$	−6.95495	−	0.730994i	−0.272168	−	0.0286060i	−0.239629	+	0.970864i	$0.577026\pi$
$654$	−10.1903	−	5.01889i	−0.398473	−	0.196254i
$655$	4.40477	−	20.7228i	0.172108	−	0.809707i
$656$	4.19160	+	3.04538i	0.163655	+	0.118902i
$657$	−0.326416	−	2.46007i	−0.0127347	−	0.0959765i
$658$	3.55833	−	10.9514i	0.138718	−	0.426931i
$659$	4.59171	−	7.95307i	0.178868	−	0.309808i	−0.762625	−	0.646840i	$-0.776090\pi$
$659$	4.59171	−	7.95307i	0.178868	−	0.309808i	0.941493	+	0.337033i	$0.109423\pi$
$660$	2.82065	−	48.2307i	0.109794	−	1.87738i
$661$	6.85052	+	11.8654i	0.266454	+	0.461512i	0.967944	−	0.251168i	$-0.0808145\pi$
$661$	6.85052	+	11.8654i	0.266454	+	0.461512i	−0.701489	+	0.712680i	$0.747481\pi$
$662$	−40.8543	+	8.68385i	−1.58785	+	0.337507i
$663$	9.95727	+	7.84149i	0.386708	+	0.304538i
$664$	10.4693	−	4.66123i	0.406287	−	0.180891i
$665$	15.0354	−	4.88529i	0.583047	−	0.189444i
$666$	5.44818	+	4.64363i	0.211113	+	0.179937i
$667$	−23.6832	+	32.5971i	−0.917016	+	1.26216i
$668$	−5.01071	−	47.6737i	−0.193870	−	1.84455i
$669$	38.4203	−	20.2388i	1.48541	−	0.782477i
$670$	−4.34971	+	2.51131i	−0.168044	+	0.0970202i
$671$	18.9032	−	3.63126i	0.729749	−	0.140183i
$672$	−2.09356	−	0.530565i	−0.0807607	−	0.0204670i
$673$	13.4171	−	12.0808i	0.517193	−	0.465682i	−0.368716	−	0.929542i	$-0.620202\pi$
$673$	13.4171	−	12.0808i	0.517193	−	0.465682i	0.885909	+	0.463860i	$0.153536\pi$
$674$	−43.8453	−	60.3479i	−1.68886	−	2.32451i
$675$	1.36176	−	4.03178i	0.0524142	−	0.155183i
$676$	14.9519	+	46.0171i	0.575072	+	1.76989i
$677$	25.8410	+	5.49267i	0.993149	+	0.211100i	0.675702	−	0.737175i	$-0.263841\pi$
$677$	25.8410	+	5.49267i	0.993149	+	0.211100i	0.317448	+	0.948276i	$0.397174\pi$
$678$	25.3945	+	30.5021i	0.975271	+	1.17143i
$679$	−4.19972	+	9.43273i	−0.161171	+	0.361995i
$680$	14.6176	+	68.7704i	0.560559	+	2.63722i
$681$	−3.62445	−	3.52720i	−0.138889	−	0.135163i
$682$	2.20910	−	9.47349i	0.0845906	−	0.362759i
$683$		−	19.4399i		−	0.743848i	−0.928263	−	0.371924i	$-0.878698\pi$
$683$		−	19.4399i		−	0.743848i	0.928263	−	0.371924i	$-0.121302\pi$
$684$	−24.9029	+	84.3853i	−0.952187	+	3.22655i
$685$	−0.485241	+	0.352548i	−0.0185401	+	0.0134702i
$686$	13.9840	+	31.4086i	0.533912	+	1.19919i
$687$	−3.22496	−	4.82120i	−0.123040	−	0.183940i
$688$	−17.8292	−	16.0535i	−0.679733	−	0.612034i
$689$	1.26548	−	12.0402i	0.0482109	−	0.458696i
$690$	−29.4623	+	37.4118i	−1.12161	+	1.42424i
$691$	−18.1567	−	20.1651i	−0.690715	−	0.767117i	0.291154	−	0.956676i	$-0.405961\pi$
$691$	−18.1567	−	20.1651i	−0.690715	−	0.767117i	−0.981869	+	0.189559i	$0.939294\pi$
$692$	−49.5042			−1.88187
$693$	0.0813637	+	10.7885i	0.00309075	+	0.409821i
$694$	43.8917			1.66611
$695$	2.85074	+	3.16607i	0.108135	+	0.120096i
$696$	−66.3566	−	9.58686i	−2.51524	−	0.363389i
$697$	−0.759759	+	7.22863i	−0.0287779	+	0.273804i
$698$	17.1438	+	15.4363i	0.648902	+	0.584274i
$699$	−20.9530	+	1.38401i	−0.792515	+	0.0523482i
$700$	−1.48563	−	3.33677i	−0.0561514	−	0.126118i
$701$	39.8170	−	28.9287i	1.50387	−	1.09262i	0.535058	−	0.844815i	$-0.320290\pi$
$701$	39.8170	−	28.9287i	1.50387	−	1.09262i	0.968809	−	0.247808i	$-0.0797103\pi$
$702$	−12.4525	+	6.99865i	−0.469988	+	0.264147i
$703$		−	6.88160i		−	0.259545i
$704$	−21.6099	+	1.84272i	−0.814456	+	0.0694501i
$705$	3.73694	−	14.7456i	0.140741	−	0.555352i
$706$	−7.50930	−	35.3285i	−0.282616	−	1.32960i
$707$	1.57089	−	3.52828i	0.0590794	−	0.132695i
$708$	−15.4868	+	2.66922i	−0.582031	+	0.100315i
$709$	24.4648	+	5.20015i	0.918794	+	0.195296i	0.642951	−	0.765907i	$-0.277710\pi$
$709$	24.4648	+	5.20015i	0.918794	+	0.195296i	0.275843	+	0.961203i	$0.411043\pi$
$710$	10.0559	+	30.9487i	0.377390	+	1.16149i
$711$	1.41661	−	18.2364i	0.0531270	−	0.683919i
$712$	−19.0315	−	26.1946i	−0.713235	−	0.981684i
$713$	−4.79416	+	4.31668i	−0.179543	+	0.161661i
$714$	−8.31021	−	29.4086i	−0.311002	−	1.10059i
$715$	−7.48206	−	0.935397i	−0.279813	−	0.0349819i
$716$	−10.2568	+	5.92177i	−0.383315	+	0.221307i
$717$	0.456153	−	11.7621i	0.0170353	−	0.439262i
$718$	−4.30211	−	40.9318i	−0.160553	−	1.52756i
$719$	−2.83956	+	3.90832i	−0.105898	+	0.145756i	−0.858677	−	0.512518i	$-0.828713\pi$
$719$	−2.83956	+	3.90832i	−0.105898	+	0.145756i	0.752779	+	0.658273i	$0.228713\pi$
$720$	−28.3009	−	5.21555i	−1.05471	−	0.194372i
$721$	5.43203	−	1.76497i	0.202299	−	0.0657310i
$722$	71.9217	−	32.0216i	2.67665	−	1.19172i
$723$	0.807435	−	5.58876i	0.0300288	−	0.207848i
$724$	−94.2390	+	20.0311i	−3.50237	+	0.744451i
$725$	−3.03394	−	5.25493i	−0.112678	−	0.195163i
$726$	−15.7454	−	44.3974i	−0.584368	−	1.64774i
$727$	−26.6643	+	46.1840i	−0.988926	+	1.71287i	−0.365934	+	0.930641i	$0.619250\pi$
$727$	−26.6643	+	46.1840i	−0.988926	+	1.71287i	−0.622991	+	0.782229i	$0.714083\pi$
$728$	−1.94642	+	5.99045i	−0.0721390	+	0.222021i
$729$	17.5976	+	20.4775i	0.651761	+	0.758424i
$730$	−3.38333	−	2.45814i	−0.125223	−	0.0909797i
$731$	6.99773	−	32.9217i	0.258820	−	1.21765i
$732$	−2.72511	−	41.2562i	−0.100723	−	1.52487i
$733$	39.8238	+	4.18566i	1.47093	+	0.154601i	0.805826	−	0.592152i	$-0.201722\pi$
$733$	39.8238	+	4.18566i	1.47093	+	0.154601i	0.665101	+	0.746753i	$0.268388\pi$
$734$	−66.6994	−	29.6965i	−2.46192	−	1.09612i
$735$	9.61363	+	18.2500i	0.354604	+	0.673162i
$736$	−5.41593	−	3.12689i	−0.199634	−	0.115259i
$737$	−1.98876	+	2.62713i	−0.0732570	+	0.0967716i
$738$	−7.20312	−	3.90151i	−0.265151	−	0.143617i
$739$	−6.09069	−	1.97899i	−0.224050	−	0.0727982i	0.194841	−	0.980835i	$-0.437581\pi$
$739$	−6.09069	−	1.97899i	−0.224050	−	0.0727982i	−0.418891	+	0.908037i	$0.637581\pi$
$740$	8.07237	−	0.848440i	0.296746	−	0.0311893i
$741$	12.8853	+	4.74622i	0.473355	+	0.174357i
$742$	−19.5329	+	21.6935i	−0.717075	+	0.796392i
$743$	−12.6164	+	14.0120i	−0.462852	+	0.514049i	−0.928708	−	0.370811i	$-0.879080\pi$
$743$	−12.6164	+	14.0120i	−0.462852	+	0.514049i	0.465856	+	0.884860i	$0.345746\pi$
$744$	−10.0730	−	3.71034i	−0.369296	−	0.136027i
$745$	−34.0613	+	3.57999i	−1.24791	+	0.131161i
$746$	16.4214	+	5.33564i	0.601230	+	0.195352i
$747$	−5.60735	+	3.44402i	−0.205162	+	0.126010i
$748$	51.3330	+	73.6555i	1.87692	+	2.69311i
$749$	−10.3159	−	5.95586i	−0.376933	−	0.217622i
$750$	−23.7478	−	45.0817i	−0.867148	−	1.64615i
$751$	17.6705	+	7.86740i	0.644804	+	0.287085i	0.702968	−	0.711222i	$-0.251858\pi$
$751$	17.6705	+	7.86740i	0.644804	+	0.287085i	−0.0581635	+	0.998307i	$0.518524\pi$
$752$	20.0393	+	2.10622i	0.730759	+	0.0768059i
$753$	1.39707	+	21.1506i	0.0509119	+	0.770770i
$754$	−4.23471	+	19.9227i	−0.154219	+	0.725543i
$755$	16.0297	+	11.6463i	0.583382	+	0.423852i
$756$	23.0177	+	2.68879i	0.837146	+	0.0977902i
$757$	−4.32387	+	13.3075i	−0.157154	+	0.483670i	−0.998373	−	0.0570248i	$-0.981839\pi$
$757$	−4.32387	+	13.3075i	−0.157154	+	0.483670i	0.841219	+	0.540695i	$0.181839\pi$
$758$	−40.2760	+	69.7600i	−1.46289	+	2.53380i
$759$	−8.26817	+	30.1263i	−0.300116	+	1.09351i
$760$	38.0863	+	65.9674i	1.38153	+	2.39289i
$761$	−20.6551	+	4.39039i	−0.748749	+	0.159151i	−0.566455	−	0.824093i	$-0.691685\pi$
$761$	−20.6551	+	4.39039i	−0.748749	+	0.159151i	−0.182294	+	0.983244i	$0.558352\pi$
$762$	7.09882	−	49.1353i	0.257163	−	1.77999i
$763$	2.62751	−	1.16984i	0.0951222	−	0.0423512i
$764$	−3.20883	+	1.04261i	−0.116091	+	0.0377204i
$765$	−13.5148	−	38.0419i	−0.488630	−	1.37541i
$766$	35.6486	−	49.0661i	1.28804	−	1.77283i
$767$	0.256376	+	2.43926i	0.00925720	+	0.0880764i
$768$	−2.18702	+	56.3932i	−0.0789175	+	2.03492i
$769$	36.6834	−	21.1791i	1.32284	−	0.763740i	0.338656	−	0.940910i	$-0.390028\pi$
$769$	36.6834	−	21.1791i	1.32284	−	0.763740i	0.984180	+	0.177171i	$0.0566945\pi$
$770$	13.2696	+	12.4288i	0.478203	+	0.447903i
$771$	7.49377	+	26.5194i	0.269881	+	0.955071i
$772$	43.5217	−	39.1871i	1.56638	−	1.41038i
$773$	−9.77676	−	13.4566i	−0.351646	−	0.483999i	0.596152	−	0.802872i	$-0.296696\pi$
$773$	−9.77676	−	13.4566i	−0.351646	−	0.483999i	−0.947797	+	0.318873i	$0.896696\pi$
$774$	31.2836	+	21.4539i	1.12446	+	0.771143i
$775$	−0.300218	−	0.923977i	−0.0107842	−	0.0331902i
$776$	−48.6633	−	10.3437i	−1.74691	−	0.371317i
$777$	−1.78623	+	0.307865i	−0.0640808	+	0.0110446i
$778$	−27.5480	+	61.8738i	−0.987644	+	2.21828i
$779$	1.63728	+	7.70278i	0.0586615	+	0.275981i
$780$	−3.97884	+	15.7001i	−0.142465	+	0.562155i
$781$	13.9702	+	16.1425i	0.499894	+	0.577624i
$782$		−	88.4907i		−	3.16442i
$783$	38.4960	+	0.445304i	1.37574	+	0.0159139i
$784$	−22.1049	+	16.0602i	−0.789461	+	0.573577i
$785$	−2.45357	−	5.51081i	−0.0875716	−	0.196689i
$786$	−44.2739	+	2.92444i	−1.57920	+	0.104311i
$787$	−28.1427	−	25.3398i	−1.00318	−	0.903267i	−0.00786598	−	0.999969i	$-0.502504\pi$
$787$	−28.1427	−	25.3398i	−1.00318	−	0.903267i	−0.995313	+	0.0967023i	$0.969171\pi$
$788$	5.76659	−	54.8655i	0.205426	−	1.95450i
$789$	20.4239	+	2.95073i	0.727109	+	0.105049i
$790$	−20.6256	−	22.9070i	−0.733826	−	0.814996i
$791$	−10.0494			−0.357317
$792$	−50.7644	+	11.1911i	−1.80383	+	0.397658i
$793$	−6.45295			−0.229151
$794$	−33.9395	−	37.6936i	−1.20447	−	1.33770i
$795$	−23.8588	+	30.2963i	−0.846183	+	1.07450i
$796$	−9.13977	+	86.9591i	−0.323951	+	3.08219i
$797$	22.3660	+	20.1385i	0.792246	+	0.713341i	0.962269	−	0.272099i	$-0.0877178\pi$
$797$	22.3660	+	20.1385i	0.792246	+	0.713341i	−0.170024	+	0.985440i	$0.554384\pi$
$798$	−18.4089	−	27.5205i	−0.651666	−	0.974217i
$799$	11.4974	+	25.8237i	0.406750	+	0.913576i
$800$	0.761931	−	0.553576i	0.0269383	−	0.0195719i
$801$	12.8117	+	13.4733i	0.452678	+	0.476054i
$802$			24.7335i			0.873370i
$803$	−2.67187	−	0.623044i	−0.0942881	−	0.0219868i
$804$	5.07221	+	4.93611i	0.178883	+	0.174083i
$805$	−2.50688	−	11.7940i	−0.0883560	−	0.415682i
$806$	−1.32640	+	2.97915i	−0.0467206	+	0.104936i
$807$	28.0158	+	33.6506i	0.986204	+	1.18456i
$808$	18.2023	+	3.86902i	0.640356	+	0.136112i
$809$	13.7550	+	42.3334i	0.483599	+	1.48836i	0.834000	+	0.551765i	$0.186045\pi$
$809$	13.7550	+	42.3334i	0.483599	+	1.48836i	−0.350401	+	0.936600i	$0.613955\pi$
$810$	45.4426	+	2.28903i	1.59669	+	0.0804282i
$811$	16.8211	+	23.1522i	0.590667	+	0.812984i	0.994814	−	0.101710i	$-0.0324314\pi$
$811$	16.8211	+	23.1522i	0.590667	+	0.812984i	−0.404147	+	0.914694i	$0.632431\pi$
$812$	24.5561	−	22.1104i	0.861751	−	0.775925i
$813$	−13.3361	−	3.37972i	−0.467716	−	0.118532i
$814$	6.93031	−	3.82162i	0.242907	−	0.133948i
$815$	−39.1219	+	22.5870i	−1.37038	+	0.791190i
$816$	47.3132	−	24.9233i	1.65629	−	0.872491i
$817$	−3.81166	−	36.2655i	−0.133353	−	1.26877i
$818$	−11.8209	+	16.2701i	−0.413309	+	0.568872i
$819$	0.655505	−	3.55694i	0.0229052	−	0.124289i
$820$	−8.83378	+	2.87027i	−0.308489	+	0.100234i
$821$	−5.68020	+	2.52899i	−0.198240	+	0.0882623i	−0.503456	−	0.864021i	$-0.667938\pi$
$821$	−5.68020	+	2.52899i	−0.198240	+	0.0882623i	0.305215	+	0.952283i	$0.401272\pi$
$822$	0.986889	+	0.777188i	0.0344217	+	0.0271076i
$823$	31.1819	−	6.62791i	1.08693	−	0.231034i	0.370599	−	0.928793i	$-0.379153\pi$
$823$	31.1819	−	6.62791i	1.08693	−	0.231034i	0.716333	+	0.697759i	$0.245819\pi$
$824$	13.7599	+	23.8329i	0.479349	+	0.830257i
$825$	−3.63823	−	2.98284i	−0.126667	−	0.103849i
$826$	2.95698	−	5.12163i	0.102886	−	0.178204i
$827$	−3.59606	+	11.0675i	−0.125047	+	0.384856i	−0.993910	−	0.110198i	$-0.964852\pi$
$827$	−3.59606	+	11.0675i	−0.125047	+	0.384856i	0.868862	+	0.495054i	$0.164852\pi$
$828$	62.0217	+	25.6165i	2.15540	+	0.890235i
$829$	32.8784	+	23.8875i	1.14191	+	0.829649i	0.987385	−	0.158340i	$-0.0506141\pi$
$829$	32.8784	+	23.8875i	1.14191	+	0.829649i	0.154529	+	0.987988i	$0.450614\pi$
$830$	−2.30564	+	10.8472i	−0.0800299	+	0.376511i
$831$	−14.9093	−	7.34303i	−0.517197	−	0.254727i
$832$	7.23096	+	0.760005i	0.250689	+	0.0263484i
$833$	−35.0171	−	15.5906i	−1.21327	−	0.540183i
$834$	4.75745	−	7.54860i	0.164737	−	0.261387i
$835$	20.6381	+	11.9154i	0.714210	+	0.412349i
$836$	77.5535	+	58.7088i	2.68225	+	2.03049i
$837$	6.01409	+	1.35122i	0.207877	+	0.0467051i
$838$	−61.6394	−	20.0278i	−2.12930	−	0.691850i
$839$	1.99712	−	0.209905i	0.0689481	−	0.00724674i	−0.0699916	−	0.997548i	$-0.522297\pi$
$839$	1.99712	−	0.209905i	0.0689481	−	0.00724674i	0.138940	+	0.990301i	$0.455631\pi$
$840$	15.4190	−	12.8371i	0.532008	−	0.442923i
$841$	17.3266	−	19.2432i	0.597469	−	0.663557i
$842$	61.9700	−	68.8246i	2.13563	−	2.37185i
$843$	5.33851	+	30.9741i	0.183868	+	1.06680i
$844$	−61.0930	+	6.42113i	−2.10291	+	0.221025i
$845$	−22.8767	−	7.43309i	−0.786983	−	0.255706i
$846$	−31.8470	+	0.866301i	−1.09492	+	0.0297841i
$847$	11.1901	+	4.12872i	0.384497	+	0.141865i
$848$	−44.2375	−	25.5405i	−1.51912	−	0.877065i
$849$	−33.5791	−	1.30225i	−1.15243	−	0.0446932i
$850$	12.1743	+	5.42034i	0.417574	+	0.185916i
$851$	−5.21976	−	0.548619i	−0.178931	−	0.0188064i
$852$	38.1147	−	25.4954i	1.30579	−	0.873459i
$853$	−2.06462	+	9.71327i	−0.0706912	+	0.332576i	−0.999255	−	0.0385972i	$-0.987711\pi$
$853$	−2.06462	+	9.71327i	−0.0706912	+	0.332576i	0.928564	+	0.371173i	$0.121044\pi$
$854$	12.5878	+	9.14560i	0.430747	+	0.312956i
$855$	−26.6621	−	34.6738i	−0.911825	−	1.18582i
$856$	17.7356	−	54.5847i	0.606192	−	1.86567i
$857$	−18.3785	+	31.8325i	−0.627797	+	1.08738i	0.360196	+	0.932877i	$0.382710\pi$
$857$	−18.3785	+	31.8325i	−0.627797	+	1.08738i	−0.987993	+	0.154500i	$0.950623\pi$
$858$	2.37591	+	15.6123i	0.0811124	+	0.532995i
$859$	−16.6007	−	28.7532i	−0.566407	−	0.981045i	−0.996917	−	0.0784599i	$-0.975000\pi$
$859$	−16.6007	−	28.7532i	−0.566407	−	0.981045i	0.430510	−	0.902586i	$-0.358334\pi$
$860$	42.0708	−	8.94243i	1.43460	−	0.304934i
$861$	1.92614	−	0.769584i	0.0656426	−	0.0262274i
$862$	−53.9253	+	24.0091i	−1.83670	+	0.817752i
$863$	0.486372	−	0.158032i	0.0165563	−	0.00537947i	−0.300727	−	0.953710i	$-0.597229\pi$
$863$	0.486372	−	0.158032i	0.0165563	−	0.00537947i	0.317283	+	0.948331i	$0.397229\pi$
$864$	0.555820	+	5.94949i	0.0189094	+	0.202406i
$865$	14.4655	−	19.9101i	0.491843	−	0.676964i
$866$	−5.55247	−	52.8282i	−0.188681	−	1.79518i
$867$	38.5569	+	24.3003i	1.30946	+	0.825280i
$868$	4.58179	−	2.64530i	0.155516	−	0.0897873i
$869$	−18.3084	−	8.58643i	−0.621069	−	0.291275i
$870$	45.2474	−	46.4950i	1.53403	−	1.57633i
$871$	0.820887	−	0.739130i	0.0278147	−	0.0250445i
$872$	8.14560	+	11.2115i	0.275845	+	0.379668i
$873$	28.4817	+	2.21247i	0.963960	+	0.0748806i
$874$	−29.6266	−	91.1812i	−1.00213	−	3.08425i
$875$	12.6197	+	2.68240i	0.426623	+	0.0906816i
$876$	−2.03690	+	5.52989i	−0.0688203	+	0.186838i
$877$	14.6037	−	32.8005i	0.493133	−	1.10759i	−0.479983	−	0.877278i	$-0.659357\pi$
$877$	14.6037	−	32.8005i	0.493133	−	1.10759i	0.973116	−	0.230317i	$-0.0739762\pi$
$878$	−5.31080	−	24.9853i	−0.179231	−	0.843214i
$879$	−25.6398	+	7.24521i	−0.864808	+	0.244375i
$880$	−16.4458	+	27.2344i	−0.554386	+	0.918072i
$881$			6.31663i			0.212813i	0.994323	+	0.106406i	$0.0339345\pi$
$881$			6.31663i			0.212813i	−0.994323	+	0.106406i	$0.966066\pi$
$882$	31.3066	−	29.7693i	1.05415	−	1.00238i
$883$	−20.5419	+	14.9246i	−0.691290	+	0.502252i	−0.877084	−	0.480337i	$-0.840514\pi$
$883$	−20.5419	+	14.9246i	−0.691290	+	0.502252i	0.185794	+	0.982589i	$0.440514\pi$
$884$	−12.2417	−	27.4953i	−0.411733	−	0.924767i
$885$	3.45185	−	7.00863i	0.116033	−	0.235592i
$886$	−58.3083	−	52.5010i	−1.95891	−	1.76381i
$887$	4.01725	−	38.2216i	0.134886	−	1.28336i	−0.692375	−	0.721538i	$-0.743436\pi$
$887$	4.01725	−	38.2216i	0.134886	−	1.28336i	0.827261	−	0.561818i	$-0.189898\pi$
$888$	−3.24036	−	8.11005i	−0.108739	−	0.272156i
$889$	8.41116	+	9.34154i	0.282101	+	0.313305i
$890$	31.3314			1.05023
$891$	28.0512	−	10.2044i	0.939751	−	0.341861i
$892$	−103.121			−3.45274
$893$	20.4928	+	22.7595i	0.685764	+	0.761618i
$894$	26.6136	+	66.6093i	0.890093	+	2.22775i
$895$	0.615446	−	5.85558i	0.0205721	−	0.195730i
$896$	−14.8817	−	13.3995i	−0.497162	−	0.447646i
$897$	4.62731	−	9.39527i	0.154501	−	0.313699i
$898$	−8.91687	−	20.0276i	−0.297560	−	0.668330i
$899$	7.11054	−	5.16611i	0.237150	−	0.172299i
$900$	−7.32327	+	6.96367i	−0.244109	+	0.232122i
$901$		−	71.6604i		−	2.38735i
$902$	−6.84805	+	5.92651i	−0.228015	+	0.197331i
$903$	−9.24280	+	2.61180i	−0.307581	+	0.0869154i
$904$	−10.0672	−	47.3626i	−0.334831	−	1.57526i
$905$	19.4811	−	43.7553i	0.647574	−	1.45448i
$906$	14.3431	−	38.9396i	0.476518	−	1.29368i
$907$	25.5735	+	5.43581i	0.849154	+	0.180493i	0.611881	−	0.790950i	$-0.290413\pi$
$907$	25.5735	+	5.43581i	0.849154	+	0.180493i	0.237273	+	0.971443i	$0.423746\pi$
$908$	3.71125	+	11.4221i	0.123162	+	0.379055i
$909$	−10.6535	−	0.827564i	−0.353353	−	0.0274486i
$910$	−3.58259	−	4.93101i	−0.118762	−	0.163461i
$911$	24.8117	−	22.3406i	0.822048	−	0.740176i	−0.146444	−	0.989219i	$-0.546783\pi$
$911$	24.8117	−	22.3406i	0.822048	−	0.740176i	0.968492	+	0.249043i	$0.0801162\pi$
$912$	40.4074	−	41.5215i	1.33802	−	1.37491i
$913$	1.37243	+	7.14445i	0.0454209	+	0.236447i
$914$	35.9887	−	20.7781i	1.19040	−	0.687279i
$915$	17.3892	+	10.9594i	0.574868	+	0.362307i
$916$	1.43978	+	13.6986i	0.0475718	+	0.452615i
$917$	6.60355	−	9.08901i	0.218069	−	0.300146i
$918$	−68.9739	+	48.9036i	−2.27648	+	1.61406i
$919$	−17.6258	+	5.72696i	−0.581420	+	0.188915i	−0.584937	−	0.811079i	$-0.698881\pi$
$919$	−17.6258	+	5.72696i	−0.581420	+	0.188915i	0.00351649	+	0.999994i	$0.498881\pi$
$920$	53.0732	−	23.6297i	1.74977	−	0.779048i
$921$	9.44123	−	3.77223i	0.311099	−	0.124299i
$922$	−24.1013	+	5.12290i	−0.793735	+	0.168714i
$923$	−3.57838	−	6.19794i	−0.117784	−	0.204008i
$924$	11.7693	−	22.7568i	0.387181	−	0.748643i
$925$	0.395204	−	0.684514i	0.0129942	−	0.0225067i
$926$	−26.9490	+	82.9406i	−0.885600	+	2.72560i
$927$	−9.63256	−	12.5270i	−0.316375	−	0.411442i
$928$	6.89296	+	5.00803i	0.226273	+	0.164397i
$929$	−7.01279	+	32.9926i	−0.230082	+	1.08245i	0.699727	+	0.714410i	$0.253305\pi$
$929$	−7.01279	+	32.9926i	−0.230082	+	1.08245i	−0.929809	+	0.368042i	$0.880028\pi$
$930$	8.63401	−	5.77540i	0.283120	−	0.189383i
$931$	−41.3015	−	4.34097i	−1.35360	−	0.142269i
$932$	45.5542	+	20.2820i	1.49218	+	0.664360i
$933$	−45.7781	−	1.77535i	−1.49871	−	0.0581225i
$934$	8.50470	+	4.91019i	0.278282	+	0.160666i
$935$	−44.6235	−	0.877128i	−1.45934	−	0.0286852i
$936$	17.4204	−	0.473869i	0.569403	−	0.0154889i
$937$	−5.72211	−	1.85923i	−0.186933	−	0.0607383i	0.214054	−	0.976822i	$-0.431333\pi$
$937$	−5.72211	−	1.85923i	−0.186933	−	0.0607383i	−0.400988	+	0.916083i	$0.631333\pi$
$938$	−2.64886	+	0.278406i	−0.0864883	+	0.00909029i
$939$	2.28239	+	13.2424i	0.0744828	+	0.432150i
$940$	−24.1712	+	26.8448i	−0.788376	+	0.875581i
$941$	−29.0952	+	32.3135i	−0.948477	+	1.05339i	0.0500286	+	0.998748i	$0.484069\pi$
$941$	−29.0952	+	32.3135i	−0.948477	+	1.05339i	−0.998506	+	0.0546430i	$0.982598\pi$
$942$	−9.70930	+	8.08348i	−0.316346	+	0.263374i
$943$	5.97316	−	0.627804i	0.194513	−	0.0204441i
$944$	9.84211	+	3.19790i	0.320334	+	0.104083i
$945$	−7.80737	+	8.47181i	−0.253974	+	0.275588i
$946$	34.4054	−	23.9783i	1.11862	−	0.779601i
$947$	−5.19891	−	3.00159i	−0.168942	−	0.0975387i	0.413145	−	0.910665i	$-0.364430\pi$
$947$	−5.19891	−	3.00159i	−0.168942	−	0.0975387i	−0.582087	+	0.813127i	$0.697764\pi$
$948$	−23.1596	+	36.7470i	−0.752188	+	1.19349i
$949$	0.840229	+	0.374094i	0.0272750	+	0.0121436i
$950$	14.3592	+	1.50921i	0.465873	+	0.0489652i
$951$	−9.58711	−	4.72179i	−0.310883	−	0.153115i
$952$	−7.75159	+	36.4684i	−0.251230	+	1.18195i
$953$	−4.38241	−	3.18400i	−0.141960	−	0.103140i	0.514539	−	0.857467i	$-0.327963\pi$
$953$	−4.38241	−	3.18400i	−0.141960	−	0.103140i	−0.656499	+	0.754327i	$0.727963\pi$
$954$	74.6480	+	30.8315i	2.41682	+	0.998206i
$955$	0.518319	−	1.59522i	0.0167724	−	0.0516201i
$956$	−13.9761	+	24.2073i	−0.452020	+	0.782921i
$957$	15.4932	−	39.6418i	0.500822	−	1.28144i
$958$	41.7780	+	72.3616i	1.34979	+	2.33790i
$959$	−0.311114	+	0.0661293i	−0.0100464	+	0.00213543i
$960$	−18.1950	−	14.3288i	−0.587240	−	0.462459i
$961$	−27.0343	+	12.0365i	−0.872076	+	0.388273i
$962$	−2.52328	+	0.819864i	−0.0813539	+	0.0264335i
$963$	−5.97292	+	32.4106i	−0.192475	+	1.04442i
$964$	−7.88182	+	10.8484i	−0.253856	+	0.349403i
$965$	3.04328	+	28.9548i	0.0979665	+	0.932089i
$966$	−22.3422	+	11.7693i	−0.718848	+	0.378670i
$967$	−30.2152	+	17.4447i	−0.971654	+	0.560985i	−0.899740	−	0.436426i	$-0.856244\pi$
$967$	−30.2152	+	17.4447i	−0.971654	+	0.560985i	−0.0719138	+	0.997411i	$0.522911\pi$
$968$	−8.24861	+	56.8746i	−0.265120	+	1.82802i
$969$	78.7888	+	19.9672i	2.53106	+	0.641440i
$970$	35.7763	−	32.2132i	1.14871	−	1.03430i
$971$	25.4555	+	35.0365i	0.816907	+	1.12438i	0.990221	+	0.139509i	$0.0445526\pi$
$971$	25.4555	+	35.0365i	0.816907	+	1.12438i	−0.173314	+	0.984867i	$0.555447\pi$
$972$	−14.3090	−	62.4995i	−0.458963	−	2.00467i
$973$	0.698143	+	2.14866i	0.0223814	+	0.0688830i
$974$	−37.6419	−	8.00103i	−1.20612	−	0.256369i
$975$	1.00914	+	1.21210i	0.0323182	+	0.0388183i
$976$	−11.0742	+	24.8730i	−0.354475	+	0.796165i
$977$	6.74631	+	31.7389i	0.215833	+	1.01542i	0.943982	+	0.329997i	$0.107048\pi$
$977$	6.74631	+	31.7389i	0.215833	+	1.01542i	−0.728149	+	0.685419i	$0.759619\pi$
$978$	67.8031	+	65.9838i	2.16810	+	2.10993i
$979$	18.9380	−	7.98958i	0.605262	−	0.255348i
$980$		−	48.9834i		−	1.56472i
$981$	−5.48347	−	5.76664i	−0.175074	−	0.184115i
$982$	−16.6915	+	12.1271i	−0.532648	+	0.386991i
$983$	−7.26749	−	16.3230i	−0.231797	−	0.520624i	0.759774	−	0.650187i	$-0.225309\pi$
$983$	−7.26749	−	16.3230i	−0.231797	−	0.520624i	−0.991571	+	0.129563i	$0.958643\pi$
$984$	5.55658	+	8.30687i	0.177137	+	0.264813i
$985$	20.3813	+	18.3514i	0.649403	+	0.584725i
$986$	−12.6019	+	119.900i	−0.401328	+	3.81838i
$987$	4.99082	−	6.33744i	0.158859	−	0.201723i
$988$	−21.8193	−	24.2328i	−0.694164	−	0.770947i
$989$	−27.8116			−0.884358
$990$	20.1127	−	46.1065i	0.639223	−	1.46536i
$991$	21.5914			0.685875			0.342937	−	0.939358i	$-0.388578\pi$
$991$	21.5914			0.685875			0.342937	+	0.939358i	$0.388578\pi$
$992$	0.912804	+	1.01377i	0.0289815	+	0.0321873i
$993$	−28.9586	−	4.18379i	−0.918975	−	0.132769i
$994$	−1.80379	+	17.1619i	−0.0572128	+	0.544343i
$995$	−32.3034	−	29.0861i	−1.02409	−	0.922092i
$996$	15.5928	−	1.02995i	0.494076	−	0.0326354i
$997$	9.72923	+	21.8522i	0.308128	+	0.692067i	0.999538	−	0.0303960i	$-0.00967684\pi$
$997$	9.72923	+	21.8522i	0.308128	+	0.692067i	−0.691410	+	0.722463i	$0.743010\pi$
$998$	−0.364697	+	0.264968i	−0.0115443	+	0.00838740i
$999$	2.45704	+	4.37172i	0.0777372	+	0.138315i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.2.2	✓	80
3.2	odd	2		297.2.t.a.35.9		80
9.2	odd	6		891.2.k.a.728.19		80
9.4	even	3		297.2.t.a.233.9		80
9.5	odd	6	inner	99.2.p.a.68.2	yes	80
9.7	even	3		891.2.k.a.728.2		80
11.6	odd	10	inner	99.2.p.a.83.2	yes	80
33.17	even	10		297.2.t.a.116.9		80
99.50	even	30	inner	99.2.p.a.50.2	yes	80
99.61	odd	30		891.2.k.a.809.19		80
99.83	even	30		891.2.k.a.809.2		80
99.94	odd	30		297.2.t.a.17.9		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.2.2	✓	80	1.1	even	1	trivial
99.2.p.a.50.2	yes	80	99.50	even	30	inner
99.2.p.a.68.2	yes	80	9.5	odd	6	inner
99.2.p.a.83.2	yes	80	11.6	odd	10	inner
297.2.t.a.17.9		80	99.94	odd	30
297.2.t.a.35.9		80	3.2	odd	2
297.2.t.a.116.9		80	33.17	even	10
297.2.t.a.233.9		80	9.4	even	3
891.2.k.a.728.2		80	9.7	even	3
891.2.k.a.728.19		80	9.2	odd	6
891.2.k.a.809.2		80	99.83	even	30
891.2.k.a.809.19		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+(-1.65440 - 1.83740i) q^{2} +(-0.642641 - 1.60842i) q^{3} +(-0.429934 + 4.09055i) q^{4} +(-1.51955 - 1.36821i) q^{5} +(-1.89212 + 3.84176i) q^{6} +(-0.441031 - 0.990572i) q^{7} +(4.22672 - 3.07089i) q^{8} +(-2.17403 + 2.06727i) q^{9} +5.05558i q^{10} +(1.28919 + 3.05581i) q^{11} +(6.85561 - 1.93724i) q^{12} +(-0.231169 - 1.08757i) q^{13} +(-1.09043 + 2.44916i) q^{14} +(-1.22413 + 3.32334i) q^{15} +(-4.58875 - 0.975370i) q^{16} +(-2.03372 - 6.25916i) q^{17} +(7.39512 + 0.574454i) q^{18} +(-4.19112 - 5.76858i) q^{19} +(6.25003 - 5.62755i) q^{20} +(-1.30983 + 1.34595i) q^{21} +(3.48191 - 7.42429i) q^{22} +(-4.70965 + 2.71912i) q^{23} +(-7.65555 - 4.82486i) q^{24} +(-0.0856067 - 0.814494i) q^{25} +(-1.61585 + 2.22402i) q^{26} +(4.72216 + 2.16823i) q^{27} +(4.24160 - 1.37818i) q^{28} +(6.76852 - 3.01354i) q^{29} +(8.13150 - 3.24892i) q^{30} +(1.16034 - 0.246638i) q^{31} +(0.574983 + 0.995900i) q^{32} +(4.08654 - 4.03735i) q^{33} +(-8.13598 + 14.0919i) q^{34} +(-0.685140 + 2.10865i) q^{35} +(-7.52159 - 9.78175i) q^{36} +(0.780793 + 0.567279i) q^{37} +(-3.66539 + 17.2443i) q^{38} +(-1.60070 + 1.07073i) q^{39} +(-10.6243 - 1.11666i) q^{40} +(-1.00893 - 0.449206i) q^{41} +(4.64003 + 0.179948i) q^{42} +(4.42893 + 2.55705i) q^{43} +(-13.0542 + 3.95969i) q^{44} +(6.13199 - 0.166802i) q^{45} +(12.7877 + 4.15499i) q^{46} +(-4.27162 + 0.448965i) q^{47} +(1.38012 + 8.00745i) q^{48} +(3.89719 - 4.32827i) q^{49} +(-1.35492 + 1.50479i) q^{50} +(-8.76040 + 7.29347i) q^{51} +(4.54813 - 0.478028i) q^{52} +(10.3556 + 3.36474i) q^{53} +(-3.82844 - 12.2636i) q^{54} +(2.22200 - 6.40733i) q^{55} +(-4.90606 - 2.83251i) q^{56} +(-6.58491 + 10.4482i) q^{57} +(-16.7349 - 7.45086i) q^{58} +(-2.19385 - 0.230582i) q^{59} +(-13.0680 - 6.43617i) q^{60} +(1.20666 - 5.67690i) q^{61} +(-2.37284 - 1.72397i) q^{62} +(3.00660 + 1.24180i) q^{63} +(-2.02075 + 6.21923i) q^{64} +(-1.13674 + 1.96890i) q^{65} +(-14.1790 - 0.829223i) q^{66} +(0.496739 + 0.860378i) q^{67} +(26.4778 - 5.62802i) q^{68} +(7.40009 + 5.82767i) q^{69} +(5.00792 - 2.22967i) q^{70} +(6.12170 - 1.98906i) q^{71} +(-2.84063 + 15.4140i) q^{72} +(-0.486222 + 0.669227i) q^{73} +(-0.249427 - 2.37314i) q^{74} +(-1.25503 + 0.661118i) q^{75} +(25.3986 - 14.6639i) q^{76} +(2.45843 - 2.62474i) q^{77} +(4.61557 + 1.16971i) q^{78} +(-4.53104 + 4.07977i) q^{79} +(5.63833 + 7.76049i) q^{80} +(0.452772 - 8.98860i) q^{81} +(0.843809 + 2.59698i) q^{82} +(2.14558 + 0.456058i) q^{83} +(-4.94251 - 5.93660i) q^{84} +(-5.47349 + 12.2937i) q^{85} +(-2.62892 - 12.3681i) q^{86} +(-9.19676 - 8.94999i) q^{87} +(14.8331 + 8.95712i) q^{88} -6.19738i q^{89} +(-10.4513 - 10.9910i) q^{90} +(-0.975360 + 0.708641i) q^{91} +(-9.09784 - 20.4341i) q^{92} +(-1.14238 - 1.70782i) q^{93} +(7.89190 + 7.10590i) q^{94} +(-1.52401 + 14.5000i) q^{95} +(1.23232 - 1.56482i) q^{96} +(-6.37180 - 7.07660i) q^{97} -14.4003 q^{98} +(-9.11992 - 3.97831i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 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

Introduction

L-functions

Modular forms

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