LMFDB - Embedded newform 99.2.p.a.29.5

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			29.5
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.571041 + 0.254244i) q^{2} +(-1.42001 - 0.991749i) q^{3} +(-1.07681 + 1.19592i) q^{4} +(-0.518875 + 1.16541i) q^{5} +(1.06303 + 0.205300i) q^{6} +(-1.00684 + 4.73680i) q^{7} +(0.697171 - 2.14567i) q^{8} +(1.03287 + 2.81659i) q^{9} -0.797419i q^{10} +(-2.53072 - 2.14370i) q^{11} +(2.71514 - 0.630296i) q^{12} +(-0.830415 - 0.0872801i) q^{13} +(-0.629356 - 2.96089i) q^{14} +(1.89260 - 1.14031i) q^{15} +(-0.189019 - 1.79839i) q^{16} +(-0.199958 + 0.145278i) q^{17} +(-1.30591 - 1.34579i) q^{18} +(2.08556 + 0.677640i) q^{19} +(-0.835011 - 1.87546i) q^{20} +(6.12743 - 5.72778i) q^{21} +(1.99017 + 0.580718i) q^{22} +(-4.19803 + 2.42373i) q^{23} +(-3.11796 + 2.35546i) q^{24} +(2.25670 + 2.50632i) q^{25} +(0.496392 - 0.161287i) q^{26} +(1.32667 - 5.02394i) q^{27} +(-4.58066 - 6.30474i) q^{28} +(7.60091 + 1.61562i) q^{29} +(-0.790839 + 1.13234i) q^{30} +(-0.183376 + 1.74470i) q^{31} +(2.82126 + 4.88657i) q^{32} +(1.46765 + 5.55392i) q^{33} +(0.0772482 - 0.133798i) q^{34} +(-4.99790 - 3.63118i) q^{35} +(-4.48063 - 1.79771i) q^{36} +(0.106959 + 0.329187i) q^{37} +(-1.36323 + 0.143281i) q^{38} +(1.09264 + 0.947502i) q^{39} +(2.13885 + 1.92583i) q^{40} +(4.75526 - 1.01076i) q^{41} +(-2.04276 + 4.82866i) q^{42} +(0.366648 + 0.211684i) q^{43} +(5.28881 - 0.718188i) q^{44} +(-3.81842 - 0.257741i) q^{45} +(1.78103 - 2.45137i) q^{46} +(-5.52692 + 4.97646i) q^{47} +(-1.51515 + 2.74120i) q^{48} +(-15.0287 - 6.69121i) q^{49} +(-1.92588 - 0.857459i) q^{50} +(0.428022 - 0.00798836i) q^{51} +(0.998582 - 0.899127i) q^{52} +(-6.95271 + 9.56959i) q^{53} +(0.519725 + 3.20617i) q^{54} +(3.81142 - 1.83703i) q^{55} +(9.46167 + 5.46270i) q^{56} +(-2.28947 - 3.03061i) q^{57} +(-4.75119 + 1.00990i) q^{58} +(-3.90386 - 3.51506i) q^{59} +(-0.674265 + 3.49130i) q^{60} +(13.8590 - 1.45664i) q^{61} +(-0.338865 - 1.04292i) q^{62} +(-14.3815 + 2.05664i) q^{63} +(0.0724543 + 0.0526411i) q^{64} +(0.532599 - 0.922488i) q^{65} +(-2.25014 - 2.79838i) q^{66} +(-0.252454 - 0.437263i) q^{67} +(0.0415762 - 0.395571i) q^{68} +(8.36498 + 0.721660i) q^{69} +(3.77721 + 0.802871i) q^{70} +(6.95402 + 9.57138i) q^{71} +(6.76356 - 0.252551i) q^{72} +(3.85174 - 1.25150i) q^{73} +(-0.144772 - 0.160786i) q^{74} +(-0.718902 - 5.79708i) q^{75} +(-3.05616 + 1.76448i) q^{76} +(12.7023 - 9.82917i) q^{77} +(-0.864839 - 0.263266i) q^{78} +(-0.900088 - 2.02163i) q^{79} +(2.19395 + 0.712856i) q^{80} +(-6.86637 + 5.81833i) q^{81} +(-2.45847 + 1.78618i) q^{82} +(-0.431414 - 4.10463i) q^{83} +(0.251876 + 13.4957i) q^{84} +(-0.0655555 - 0.308414i) q^{85} +(-0.263191 - 0.0276625i) q^{86} +(-9.19109 - 9.83239i) q^{87} +(-6.36402 + 3.93558i) q^{88} -13.5225i q^{89} +(2.24600 - 0.823629i) q^{90} +(1.24952 - 3.84563i) q^{91} +(1.62190 - 7.63042i) q^{92} +(1.99070 - 2.29564i) q^{93} +(1.89086 - 4.24695i) q^{94} +(-1.87187 + 2.07893i) q^{95} +(0.840023 - 9.73697i) q^{96} +(-7.26211 + 3.23330i) q^{97} +10.2832 q^{98} +(3.42401 - 9.34217i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.571041	+	0.254244i	−0.403787	+	0.179778i	−0.598573	−	0.801068i	$-0.704265\pi$
$2$	−0.571041	+	0.254244i	−0.403787	+	0.179778i	0.194786	+	0.980846i	$0.437599\pi$
$3$	−1.42001	−	0.991749i	−0.819844	−	0.572586i
$3$	−1.42001	−	0.991749i	−0.819844	−	0.572586i
$4$	−1.07681	+	1.19592i	−0.538407	+	0.597961i
$5$	−0.518875	+	1.16541i	−0.232048	+	0.521188i	−0.991613	−	0.129243i	$-0.958745\pi$
$5$	−0.518875	+	1.16541i	−0.232048	+	0.521188i	0.759565	+	0.650431i	$0.225412\pi$
$6$	1.06303	+	0.205300i	0.433981	+	0.0838134i
$7$	−1.00684	+	4.73680i	−0.380549	+	1.79034i	0.203988	+	0.978973i	$0.434610\pi$
$7$	−1.00684	+	4.73680i	−0.380549	+	1.79034i	−0.584537	+	0.811367i	$0.698724\pi$
$8$	0.697171	−	2.14567i	0.246487	−	0.758609i
$9$	1.03287	+	2.81659i	0.344289	+	0.938864i
$10$		−	0.797419i		−	0.252166i
$11$	−2.53072	−	2.14370i	−0.763042	−	0.646349i
$11$	−2.53072	−	2.14370i	−0.763042	−	0.646349i
$12$	2.71514	−	0.630296i	0.783794	−	0.181951i
$13$	−0.830415	−	0.0872801i	−0.230316	−	0.0242071i	−0.0113325	−	0.999936i	$-0.503607\pi$
$13$	−0.830415	−	0.0872801i	−0.230316	−	0.0242071i	−0.218983	+	0.975729i	$0.570274\pi$
$14$	−0.629356	−	2.96089i	−0.168203	−	0.791331i
$15$	1.89260	−	1.14031i	0.488668	−	0.294426i
$16$	−0.189019	−	1.79839i	−0.0472547	−	0.449598i
$17$	−0.199958	+	0.145278i	−0.0484969	+	0.0352351i	−0.611770	−	0.791036i	$-0.709542\pi$
$17$	−0.199958	+	0.145278i	−0.0484969	+	0.0352351i	0.563273	+	0.826271i	$0.309542\pi$
$18$	−1.30591	−	1.34579i	−0.307806	−	0.317206i
$19$	2.08556	+	0.677640i	0.478461	+	0.155461i	0.538311	−	0.842746i	$-0.319062\pi$
$19$	2.08556	+	0.677640i	0.478461	+	0.155461i	−0.0598507	+	0.998207i	$0.519062\pi$
$20$	−0.835011	−	1.87546i	−0.186714	−	0.419367i
$21$	6.12743	−	5.72778i	1.33712	−	1.24990i
$22$	1.99017	+	0.580718i	0.424306	+	0.123810i
$23$	−4.19803	+	2.42373i	−0.875349	+	0.505383i	−0.869122	−	0.494598i	$-0.835315\pi$
$23$	−4.19803	+	2.42373i	−0.875349	+	0.505383i	−0.00622685	+	0.999981i	$0.501982\pi$
$24$	−3.11796	+	2.35546i	−0.636451	+	0.480806i
$25$	2.25670	+	2.50632i	0.451340	+	0.501264i
$26$	0.496392	−	0.161287i	0.0973504	−	0.0316311i
$27$	1.32667	−	5.02394i	0.255317	−	0.966857i
$28$	−4.58066	−	6.30474i	−0.865664	−	1.19148i
$29$	7.60091	+	1.61562i	1.41145	+	0.300014i	0.849689	−	0.527284i	$-0.176790\pi$
$29$	7.60091	+	1.61562i	1.41145	+	0.300014i	0.561764	+	0.827298i	$0.310123\pi$
$30$	−0.790839	+	1.13234i	−0.144387	+	0.206737i
$31$	−0.183376	+	1.74470i	−0.0329353	+	0.313358i	0.965635	+	0.259902i	$0.0836903\pi$
$31$	−0.183376	+	1.74470i	−0.0329353	+	0.313358i	−0.998570	+	0.0534559i	$0.982976\pi$
$32$	2.82126	+	4.88657i	0.498733	+	0.863831i
$33$	1.46765	+	5.55392i	0.255485	+	0.966813i
$34$	0.0772482	−	0.133798i	0.0132480	−	0.0229461i
$35$	−4.99790	−	3.63118i	−0.844799	−	0.613782i
$36$	−4.48063	−	1.79771i	−0.746772	−	0.299619i
$37$	0.106959	+	0.329187i	0.0175840	+	0.0541180i	0.959464	−	0.281833i	$-0.0909424\pi$
$37$	0.106959	+	0.329187i	0.0175840	+	0.0541180i	−0.941879	+	0.335951i	$0.890942\pi$
$38$	−1.36323	+	0.143281i	−0.221145	+	0.0232432i
$39$	1.09264	+	0.947502i	0.174962	+	0.151722i
$40$	2.13885	+	1.92583i	0.338181	+	0.304500i
$41$	4.75526	−	1.01076i	0.742647	−	0.157854i	0.178975	−	0.983854i	$-0.442722\pi$
$41$	4.75526	−	1.01076i	0.742647	−	0.157854i	0.563671	+	0.825999i	$0.309388\pi$
$42$	−2.04276	+	4.82866i	−0.315205	+	0.745078i
$43$	0.366648	+	0.211684i	0.0559133	+	0.0322816i	0.527696	−	0.849433i	$-0.323056\pi$
$43$	0.366648	+	0.211684i	0.0559133	+	0.0322816i	−0.471783	+	0.881715i	$0.656389\pi$
$44$	5.28881	−	0.718188i	0.797318	−	0.108271i
$45$	−3.81842	−	0.257741i	−0.569216	−	0.0384218i
$46$	1.78103	−	2.45137i	0.262598	−	0.361435i
$47$	−5.52692	+	4.97646i	−0.806184	+	0.725891i	−0.965236	−	0.261379i	$-0.915823\pi$
$47$	−5.52692	+	4.97646i	−0.806184	+	0.725891i	0.159053	+	0.987270i	$0.449156\pi$
$48$	−1.51515	+	2.74120i	−0.218693	+	0.395658i
$49$	−15.0287	−	6.69121i	−2.14696	−	0.955887i
$50$	−1.92588	−	0.857459i	−0.272361	−	0.121263i
$51$	0.428022	−	0.00798836i	0.0599351	−	0.00111859i
$52$	0.998582	−	0.899127i	0.138478	−	0.124686i
$53$	−6.95271	+	9.56959i	−0.955029	+	1.31448i	−0.00577155	+	0.999983i	$0.501837\pi$
$53$	−6.95271	+	9.56959i	−0.955029	+	1.31448i	−0.949257	+	0.314501i	$0.898163\pi$
$54$	0.519725	+	3.20617i	0.0707256	+	0.436305i
$55$	3.81142	−	1.83703i	0.513932	−	0.247704i
$56$	9.46167	+	5.46270i	1.26437	+	0.729984i
$57$	−2.28947	−	3.03061i	−0.303248	−	0.401414i
$58$	−4.75119	+	1.00990i	−0.623862	+	0.132606i
$59$	−3.90386	−	3.51506i	−0.508240	−	0.457621i	0.374674	−	0.927157i	$-0.377755\pi$
$59$	−3.90386	−	3.51506i	−0.508240	−	0.457621i	−0.882914	+	0.469535i	$0.844421\pi$
$60$	−0.674265	+	3.49130i	−0.0870472	+	0.450725i
$61$	13.8590	−	1.45664i	1.77446	−	0.186504i	0.840007	−	0.542576i	$-0.182551\pi$
$61$	13.8590	−	1.45664i	1.77446	−	0.186504i	0.934458	+	0.356072i	$0.115884\pi$
$62$	−0.338865	−	1.04292i	−0.0430359	−	0.132451i
$63$	−14.3815	+	2.05664i	−1.81190	+	0.259112i
$64$	0.0724543	+	0.0526411i	0.00905678	+	0.00658014i
$65$	0.532599	−	0.922488i	0.0660607	−	0.114421i
$66$	−2.25014	−	2.79838i	−0.276973	−	0.344456i
$67$	−0.252454	−	0.437263i	−0.0308421	−	0.0534201i	0.850192	−	0.526472i	$-0.176486\pi$
$67$	−0.252454	−	0.437263i	−0.0308421	−	0.0534201i	−0.881034	+	0.473052i	$0.843152\pi$
$68$	0.0415762	−	0.395571i	0.00504186	−	0.0479701i
$69$	8.36498	+	0.721660i	1.00703	+	0.0868776i
$70$	3.77721	+	0.802871i	0.451463	+	0.0959614i
$71$	6.95402	+	9.57138i	0.825290	+	1.13591i	0.988781	+	0.149370i	$0.0477244\pi$
$71$	6.95402	+	9.57138i	0.825290	+	1.13591i	−0.163491	+	0.986545i	$0.552276\pi$
$72$	6.76356	−	0.252551i	0.797094	−	0.0297634i
$73$	3.85174	−	1.25150i	0.450812	−	0.146478i	−0.0748068	−	0.997198i	$-0.523834\pi$
$73$	3.85174	−	1.25150i	0.450812	−	0.146478i	0.525618	+	0.850720i	$0.323834\pi$
$74$	−0.144772	−	0.160786i	−0.0168294	−	0.0186910i
$75$	−0.718902	−	5.79708i	−0.0830116	−	0.669389i
$76$	−3.05616	+	1.76448i	−0.350566	+	0.202399i
$77$	12.7023	−	9.82917i	1.44756	−	1.12014i
$78$	−0.864839	−	0.263266i	−0.0979237	−	0.0298090i
$79$	−0.900088	−	2.02163i	−0.101268	−	0.227451i	0.855805	−	0.517298i	$-0.173062\pi$
$79$	−0.900088	−	2.02163i	−0.101268	−	0.227451i	−0.957073	+	0.289847i	$0.906396\pi$
$80$	2.19395	+	0.712856i	0.245291	+	0.0796998i
$81$	−6.86637	+	5.81833i	−0.762930	+	0.646482i
$82$	−2.45847	+	1.78618i	−0.271492	+	0.197251i
$83$	−0.431414	−	4.10463i	−0.0473538	−	0.450542i	−0.992350	−	0.123459i	$-0.960601\pi$
$83$	−0.431414	−	4.10463i	−0.0473538	−	0.450542i	0.944996	−	0.327082i	$-0.106065\pi$
$84$	0.251876	+	13.4957i	0.0274819	+	1.47250i
$85$	−0.0655555	−	0.308414i	−0.00711049	−	0.0334522i
$86$	−0.263191	−	0.0276625i	−0.0283806	−	0.00298292i
$87$	−9.19109	−	9.83239i	−0.985388	−	1.05414i
$88$	−6.36402	+	3.93558i	−0.678406	+	0.419534i
$89$		−	13.5225i		−	1.43338i	−0.697393	−	0.716689i	$-0.745657\pi$
$89$		−	13.5225i		−	1.43338i	0.697393	−	0.716689i	$-0.254343\pi$
$90$	2.24600	−	0.823629i	0.236749	−	0.0868181i
$91$	1.24952	−	3.84563i	0.130985	−	0.403131i
$92$	1.62190	−	7.63042i	0.169094	−	0.795526i
$93$	1.99070	−	2.29564i	0.206426	−	0.238047i
$94$	1.89086	−	4.24695i	0.195028	−	0.438039i
$95$	−1.87187	+	2.07893i	−0.192050	+	0.213293i
$96$	0.840023	−	9.73697i	0.0857345	−	0.993775i
$97$	−7.26211	+	3.23330i	−0.737356	+	0.328292i	−0.740821	−	0.671702i	$-0.765564\pi$
$97$	−7.26211	+	3.23330i	−0.737356	+	0.328292i	0.00346562	+	0.999994i	$0.498897\pi$
$98$	10.2832			1.03876
$99$	3.42401	−	9.34217i	0.344126	−	0.938923i
$100$	−5.42741			−0.542741
$101$	−4.92836	+	2.19425i	−0.490390	+	0.218336i	−0.637007	−	0.770858i	$-0.719828\pi$
$101$	−4.92836	+	2.19425i	−0.490390	+	0.218336i	0.146618	+	0.989193i	$0.453161\pi$
$102$	−0.242387	+	0.113384i	−0.0239999	+	0.0112267i
$103$	11.0119	−	12.2300i	1.08504	−	1.20505i	0.107517	−	0.994203i	$-0.465710\pi$
$103$	11.0119	−	12.2300i	1.08504	−	1.20505i	0.977518	−	0.210850i	$-0.0676233\pi$
$104$	−0.766216	+	1.72095i	−0.0751336	+	0.168753i
$105$	3.49585	+	10.1130i	0.341160	+	0.986926i
$106$	1.53728	−	7.23232i	0.149313	−	0.702465i
$107$	−0.705070	+	2.16998i	−0.0681617	+	0.209780i	−0.979336	−	0.202242i	$-0.935177\pi$
$107$	−0.705070	+	2.16998i	−0.0681617	+	0.209780i	0.911174	+	0.412022i	$0.135177\pi$
$108$	4.57967	+	6.99643i	0.440679	+	0.673232i
$109$			8.89941i			0.852409i	0.904627	+	0.426205i	$0.140150\pi$
$109$			8.89941i			0.852409i	−0.904627	+	0.426205i	$0.859850\pi$
$110$	−1.70942	+	2.01805i	−0.162987	+	0.192413i
$111$	0.174587	−	0.573527i	0.0165711	−	0.0544367i
$112$	8.70894	+	0.915346i	0.822917	+	0.0864921i
$113$	1.50551	+	7.08288i	0.141627	+	0.666301i	0.990478	+	0.137670i	$0.0439612\pi$
$113$	1.50551	+	7.08288i	0.141627	+	0.666301i	−0.848852	+	0.528631i	$0.822705\pi$
$114$	2.07790	+	1.14852i	0.194613	+	0.107569i
$115$	−0.646395	−	6.15004i	−0.0602767	−	0.573494i
$116$	−10.1169	+	7.35037i	−0.939332	+	0.682465i
$117$	−0.611877	−	2.42909i	−0.0565680	−	0.224569i
$118$	3.12295	+	1.01471i	0.287491	+	0.0934114i
$119$	−0.486827	−	1.09343i	−0.0446273	−	0.100235i
$120$	−1.12725	−	4.85589i	−0.102904	−	0.443281i
$121$	1.80913	+	10.8502i	0.164466	+	0.986383i
$122$	−7.54373	+	4.35537i	−0.682977	+	0.394317i
$123$	−7.75494	−	3.28073i	−0.699240	−	0.295813i
$124$	−1.88907	−	2.09802i	−0.169643	−	0.188408i
$125$	−10.1582	+	3.30059i	−0.908574	+	0.295213i
$126$	7.68957	−	4.83085i	0.685041	−	0.430366i
$127$	1.69280	+	2.32994i	0.150212	+	0.206749i	0.877491	−	0.479593i	$-0.159216\pi$
$127$	1.69280	+	2.32994i	0.150212	+	0.206749i	−0.727279	+	0.686341i	$0.759216\pi$
$128$	−11.0932	−	2.35793i	−0.980509	−	0.208414i
$129$	−0.310707	−	0.664217i	−0.0273562	−	0.0584811i
$130$	−0.0695988	+	0.662188i	−0.00610422	+	0.0580778i
$131$	0.281682	+	0.487887i	0.0246106	+	0.0426269i	0.878068	−	0.478535i	$-0.158832\pi$
$131$	0.281682	+	0.487887i	0.0246106	+	0.0426269i	−0.853458	+	0.521162i	$0.825499\pi$
$132$	−8.22244	−	4.22534i	−0.715671	−	0.367768i
$133$	−5.30966	+	9.19661i	−0.460406	+	0.797447i
$134$	0.255333	+	0.185510i	0.0220574	+	0.0160256i
$135$	5.16658	+	4.15291i	0.444669	+	0.357425i
$136$	0.172314	+	0.530328i	0.0147758	+	0.0454752i
$137$	4.61687	−	0.485253i	0.394446	−	0.0414579i	0.0947705	−	0.995499i	$-0.469788\pi$
$137$	4.61687	−	0.485253i	0.394446	−	0.0414579i	0.299675	+	0.954041i	$0.403122\pi$
$138$	−4.96023	+	1.71465i	−0.422242	+	0.145961i
$139$	7.80918	+	7.03142i	0.662366	+	0.596397i	0.930193	−	0.367070i	$-0.119639\pi$
$139$	7.80918	+	7.03142i	0.662366	+	0.596397i	−0.267827	+	0.963467i	$0.586306\pi$
$140$	9.72441	−	2.06699i	0.821863	−	0.174692i
$141$	12.7837	−	1.58532i	1.07658	−	0.133508i
$142$	−6.40450	−	3.69764i	−0.537453	−	0.310299i
$143$	1.91445	+	2.00104i	0.160094	+	0.167335i
$144$	4.87011	−	2.38989i	0.405842	−	0.199158i
$145$	−5.82678	+	8.01988i	−0.483888	+	0.666015i
$146$	−1.88131	+	1.69394i	−0.155699	+	0.140192i
$147$	14.7049	+	24.4063i	1.21284	+	2.01300i
$148$	−0.508858	−	0.226558i	−0.0418278	−	0.0186230i
$149$	−13.9085	−	6.19245i	−1.13943	−	0.507305i	−0.251758	−	0.967790i	$-0.581009\pi$
$149$	−13.9085	−	6.19245i	−1.13943	−	0.507305i	−0.887667	+	0.460485i	$0.847675\pi$
$150$	1.88440	+	3.12760i	0.153860	+	0.255367i
$151$	−5.67861	+	5.11304i	−0.462119	+	0.416093i	−0.867025	−	0.498265i	$-0.833971\pi$
$151$	−5.67861	+	5.11304i	−0.462119	+	0.416093i	0.404906	+	0.914358i	$0.367304\pi$
$152$	2.90799	−	4.00250i	0.235869	−	0.324646i
$153$	−0.615719	−	0.413147i	−0.0497779	−	0.0334009i
$154$	−4.75452	+	8.84234i	−0.383130	+	0.712536i
$155$	−1.93815	−	1.11899i	−0.155676	−	0.0898795i
$156$	−2.30971	+	0.286429i	−0.184925	+	0.0229327i
$157$	4.23545	−	0.900272i	0.338026	−	0.0718495i	−0.0357717	−	0.999360i	$-0.511389\pi$
$157$	4.23545	−	0.900272i	0.338026	−	0.0718495i	0.373797	+	0.927510i	$0.378056\pi$
$158$	1.02798	+	0.925593i	0.0817813	+	0.0736362i
$159$	19.3636	−	6.69359i	1.53563	−	0.530836i
$160$	−7.15874	+	0.752414i	−0.565948	+	0.0594836i
$161$	−7.25399	−	22.3255i	−0.571695	−	1.75950i
$162$	2.44170	−	5.06824i	0.191838	−	0.398199i
$163$	−5.76502	−	4.18853i	−0.451551	−	0.328071i	0.338657	−	0.940910i	$-0.390027\pi$
$163$	−5.76502	−	4.18853i	−0.451551	−	0.328071i	−0.790208	+	0.612839i	$0.790027\pi$
$164$	−3.91173	+	6.77532i	−0.305455	+	0.529064i
$165$	−7.23413	−	1.17137i	−0.563176	−	0.0911912i
$166$	1.28993	+	2.23423i	0.100118	+	0.173410i
$167$	0.854845	−	8.13331i	0.0661499	−	0.629374i	−0.910347	−	0.413845i	$-0.864186\pi$
$167$	0.854845	−	8.13331i	0.0661499	−	0.629374i	0.976497	−	0.215529i	$-0.0691477\pi$
$168$	−8.01806	−	17.1407i	−0.618607	−	1.32243i
$169$	−12.0339	−	2.55789i	−0.925688	−	0.196761i
$170$	0.115847	+	0.159450i	0.00888509	+	0.0122293i
$171$	0.245476	+	6.57409i	0.0187720	+	0.502733i
$172$	−0.647970	+	0.210538i	−0.0494072	+	0.0160534i
$173$	−4.52685	−	5.02758i	−0.344170	−	0.382240i	0.546064	−	0.837744i	$-0.316126\pi$
$173$	−4.52685	−	5.02758i	−0.344170	−	0.382240i	−0.890234	+	0.455504i	$0.849459\pi$
$174$	7.74832	+	3.27792i	0.587398	+	0.248499i
$175$	−14.1440	+	8.16607i	−1.06919	+	0.617297i
$176$	−3.37686	+	4.95644i	−0.254540	+	0.373606i
$177$	2.05748	+	8.86307i	0.154650	+	0.666190i
$178$	3.43800	+	7.72188i	0.257689	+	0.578779i
$179$	6.85049	+	2.22586i	0.512030	+	0.166369i	0.553625	−	0.832766i	$-0.313244\pi$
$179$	6.85049	+	2.22586i	0.512030	+	0.166369i	−0.0415954	+	0.999135i	$0.513244\pi$
$180$	4.41996	−	4.28899i	0.329444	−	0.319682i
$181$	0.383330	−	0.278506i	0.0284927	−	0.0207012i	−0.573448	−	0.819242i	$-0.694394\pi$
$181$	0.383330	−	0.278506i	0.0284927	−	0.0207012i	0.601940	+	0.798541i	$0.294394\pi$
$182$	0.264200	+	2.51370i	0.0195838	+	0.186328i
$183$	−21.1246	−	11.6762i	−1.56157	−	0.863131i
$184$	2.27379	+	10.6973i	0.167626	+	0.788618i
$185$	−0.439137	−	0.0461552i	−0.0322860	−	0.00339340i
$186$	−0.553122	+	1.81703i	−0.0405569	+	0.133231i
$187$	0.817470	+	0.0609908i	0.0597793	+	0.00446009i
$188$		−	11.9685i		−	0.872891i
$189$	22.4616	+	11.3424i	1.63384	+	0.825041i
$190$	0.540363	−	1.66307i	0.0392020	−	0.120651i
$191$	−0.00844075	+	0.0397106i	−0.000610751	+	0.00287336i	−0.978452	−	0.206475i	$-0.933801\pi$
$191$	−0.00844075	+	0.0397106i	−0.000610751	+	0.00287336i	0.977841	+	0.209348i	$0.0671342\pi$
$192$	−0.0506792	−	0.146607i	−0.00365745	−	0.0105805i
$193$	4.57055	−	10.2656i	0.328996	−	0.738936i	−0.671001	−	0.741456i	$-0.734135\pi$
$193$	4.57055	−	10.2656i	0.328996	−	0.738936i	0.999997	+	0.00251988i	$0.000802102\pi$
$194$	3.32492	−	3.69270i	0.238715	−	0.265120i
$195$	−1.67117	+	0.781740i	−0.119675	+	0.0559815i
$196$	24.1853	−	10.7680i	1.72752	−	0.769141i
$197$	20.8150			1.48301			0.741504	−	0.670948i	$-0.234113\pi$
$197$	20.8150			1.48301			0.741504	+	0.670948i	$0.234113\pi$
$198$	0.419938	+	6.20530i	0.0298437	+	0.440991i
$199$	14.4111			1.02158			0.510788	−	0.859707i	$-0.329354\pi$
$199$	14.4111			1.02158			0.510788	+	0.859707i	$0.329354\pi$
$200$	6.95104	−	3.09480i	0.491513	−	0.218836i
$201$	−0.0751674	+	0.871289i	−0.00530190	+	0.0614560i
$202$	2.25642	−	2.50601i	0.158761	−	0.176322i
$203$	−15.3058	+	34.3773i	−1.07425	+	2.41281i
$204$	−0.451346	+	0.520483i	−0.0316005	+	0.0364411i
$205$	−1.28943	+	6.06629i	−0.0900577	+	0.423688i
$206$	−3.17886	+	9.78352i	−0.221482	+	0.681650i
$207$	−11.1627	−	9.32073i	−0.775859	−	0.647835i
$208$			1.50991i			0.104693i
$209$	−3.82533	−	6.18573i	−0.264603	−	0.427876i
$210$	−4.56744	−	4.88613i	−0.315183	−	0.337175i
$211$	18.0772	+	1.89999i	1.24448	+	0.130800i	0.703783	−	0.710415i	$-0.251493\pi$
$211$	18.0772	+	1.89999i	1.24448	+	0.130800i	0.540700	+	0.841216i	$0.318159\pi$
$212$	−3.95771	−	18.6196i	−0.271817	−	1.27880i
$213$	−0.382379	−	20.4881i	−0.0262002	−	1.40382i
$214$	−0.149081	−	1.41841i	−0.0101910	−	0.0969605i
$215$	−0.436944	+	0.317458i	−0.0297993	+	0.0216505i
$216$	−9.85481	−	6.34913i	−0.670535	−	0.432004i
$217$	−8.07968	−	2.62525i	−0.548484	−	0.178213i
$218$	−2.26262	−	5.08193i	−0.153244	−	0.344192i
$219$	−6.71069	−	2.04280i	−0.453466	−	0.138040i
$220$	−1.90725	+	6.53629i	−0.128587	+	0.440677i
$221$	0.178728	−	0.103189i	0.0120225	−	0.00694122i
$222$	0.0461191	+	0.371895i	0.00309531	+	0.0249600i
$223$	0.504840	+	0.560682i	0.0338066	+	0.0375460i	0.759811	−	0.650144i	$-0.225291\pi$
$223$	0.504840	+	0.560682i	0.0338066	+	0.0375460i	−0.726004	+	0.687690i	$0.758625\pi$
$224$	−25.9872	+	8.44376i	−1.73634	+	0.564172i
$225$	−4.72840	+	8.94490i	−0.315227	+	0.596326i
$226$	−2.66049	−	3.66185i	−0.176973	−	0.243582i
$227$	16.2549	+	3.45509i	1.07888	+	0.229322i	0.712874	−	0.701292i	$-0.247393\pi$
$227$	16.2549	+	3.45509i	1.07888	+	0.229322i	0.366002	+	0.930614i	$0.380726\pi$
$228$	6.08971	+	0.525369i	0.403301	+	0.0347934i
$229$	2.29941	−	21.8774i	0.151949	−	1.44570i	−0.607079	−	0.794641i	$-0.707659\pi$
$229$	2.29941	−	21.8774i	0.151949	−	1.44570i	0.759028	−	0.651058i	$-0.225674\pi$
$230$	1.93273	+	3.34759i	0.127440	+	0.220733i
$231$	−27.7855	+	1.36006i	−1.82815	+	0.0894857i
$232$	8.76573	−	15.1827i	0.575498	−	0.996792i
$233$	12.5102	+	9.08916i	0.819568	+	0.595451i	0.916589	−	0.399832i	$-0.130931\pi$
$233$	12.5102	+	9.08916i	0.819568	+	0.595451i	−0.0970210	+	0.995282i	$0.530931\pi$
$234$	0.966988	+	1.23154i	0.0632140	+	0.0805085i
$235$	−2.93185	−	9.02329i	−0.191252	−	0.588615i
$236$	8.40747	−	0.883660i	0.547279	−	0.0575214i
$237$	−0.726815	+	3.76340i	−0.0472117	+	0.244459i
$238$	0.555996	+	0.500621i	0.0360399	+	0.0324505i
$239$	18.3987	−	3.91077i	1.19011	−	0.252966i	0.430044	−	0.902808i	$-0.358498\pi$
$239$	18.3987	−	3.91077i	1.19011	−	0.252966i	0.760070	+	0.649842i	$0.225165\pi$
$240$	−2.40846	−	3.18811i	−0.155465	−	0.205792i
$241$	−13.4825	−	7.78412i	−0.868483	−	0.501419i	−0.00163940	−	0.999999i	$-0.500522\pi$
$241$	−13.4825	−	7.78412i	−0.868483	−	0.501419i	−0.866844	+	0.498580i	$0.833855\pi$
$242$	−3.79169	−	5.73596i	−0.243739	−	0.368721i
$243$	15.5206	−	1.45239i	0.995650	−	0.0931710i
$244$	−13.1815	+	18.1428i	−0.843862	+	1.16148i
$245$	15.5960	−	14.0427i	0.996393	−	0.897157i
$246$	5.26250	−	0.0982163i	0.335525	−	0.00626205i
$247$	−1.67274	−	0.744750i	−0.106434	−	0.0473873i
$248$	3.61572	+	1.60982i	0.229598	+	0.102224i
$249$	−3.45815	+	6.25648i	−0.219151	+	0.396488i
$250$	4.96157	−	4.46742i	0.313798	−	0.282545i
$251$	8.32155	−	11.4536i	0.525252	−	0.722947i	−0.461146	−	0.887324i	$-0.652562\pi$
$251$	8.32155	−	11.4536i	0.525252	−	0.722947i	0.986397	+	0.164378i	$0.0525616\pi$
$252$	13.0267	−	19.4138i	0.820602	−	1.22296i
$253$	15.8198	+	2.86550i	0.994582	+	0.180152i
$254$	−1.55903	−	0.900107i	−0.0978223	−	0.0564778i
$255$	−0.212780	+	0.502967i	−0.0133248	+	0.0314970i
$256$	6.75896	−	1.43666i	0.422435	−	0.0897913i
$257$	11.0616	+	9.95993i	0.690005	+	0.621283i	0.937656	−	0.347566i	$-0.112992\pi$
$257$	11.0616	+	9.95993i	0.690005	+	0.621283i	−0.247650	+	0.968849i	$0.579658\pi$
$258$	0.346300	+	0.300300i	0.0215597	+	0.0186959i
$259$	−1.66698	+	0.175207i	−0.103581	+	0.0108868i
$260$	0.529714	+	1.63029i	0.0328515	+	0.101106i
$261$	3.30019	+	23.0774i	0.204276	+	1.42845i
$262$	−0.284894	−	0.206988i	−0.0176008	−	0.0127877i
$263$	−11.9506	+	20.6991i	−0.736906	+	1.27636i	0.216976	+	0.976177i	$0.430381\pi$
$263$	−11.9506	+	20.6991i	−0.736906	+	1.27636i	−0.953882	+	0.300181i	$0.902953\pi$
$264$	12.9401	+	0.722937i	0.796407	+	0.0444937i
$265$	−7.54492	−	13.0682i	−0.463481	−	0.802773i
$266$	0.693855	−	6.60159i	0.0425430	−	0.404770i
$267$	−13.4109	+	19.2020i	−0.820732	+	1.17515i
$268$	0.794777	+	0.168935i	0.0485488	+	0.0103194i
$269$	−4.62668	−	6.36807i	−0.282093	−	0.388268i	0.644332	−	0.764745i	$-0.277135\pi$
$269$	−4.62668	−	6.36807i	−0.282093	−	0.388268i	−0.926426	+	0.376477i	$0.877135\pi$
$270$	−4.00618	−	1.05791i	−0.243809	−	0.0643822i
$271$	−4.67871	+	1.52020i	−0.284211	+	0.0923458i	−0.447654	−	0.894207i	$-0.647740\pi$
$271$	−4.67871	+	1.52020i	−0.284211	+	0.0923458i	0.163442	+	0.986553i	$0.447740\pi$
$272$	0.299063	+	0.332143i	0.0181333	+	0.0201391i
$273$	−5.58823	+	4.22163i	−0.338215	+	0.255505i
$274$	−2.51305	+	1.45091i	−0.151819	+	0.0876527i
$275$	−0.338296	−	11.1805i	−0.0204000	−	0.674208i
$276$	−9.87057	+	9.22677i	−0.594138	+	0.555386i
$277$	−10.7414	−	24.1256i	−0.645388	−	1.44957i	−0.878801	−	0.477188i	$-0.841656\pi$
$277$	−10.7414	−	24.1256i	−0.645388	−	1.44957i	0.233413	−	0.972378i	$-0.425010\pi$
$278$	−6.24706	−	2.02979i	−0.374674	−	0.121739i
$279$	−5.10352	+	1.28555i	−0.305540	+	0.0769641i
$280$	−11.2757	+	8.19229i	−0.673853	+	0.489583i
$281$	1.66134	+	15.8066i	0.0991071	+	0.942941i	0.925219	+	0.379435i	$0.123881\pi$
$281$	1.66134	+	15.8066i	0.0991071	+	0.942941i	−0.826111	+	0.563507i	$0.809452\pi$
$282$	−6.89695	+	4.15546i	−0.410708	+	0.247454i
$283$	2.28922	+	10.7700i	0.136080	+	0.640207i	0.992327	+	0.123640i	$0.0394569\pi$
$283$	2.28922	+	10.7700i	0.136080	+	0.640207i	−0.856247	+	0.516567i	$0.827210\pi$
$284$	−18.9348	−	1.99013i	−1.12357	−	0.118092i
$285$	4.71986	−	1.09567i	0.279580	−	0.0649020i
$286$	−1.60198	−	0.655939i	−0.0947271	−	0.0387865i
$287$			23.5424i			1.38966i
$288$	−10.8495	+	12.9935i	−0.639311	+	0.765650i
$289$	−5.23441	+	16.1099i	−0.307907	+	0.947639i
$290$	1.28833	−	6.06111i	0.0756532	−	0.355920i
$291$	13.5189	+	2.61087i	0.792492	+	0.153052i
$292$	−2.65090	+	5.95401i	−0.155132	+	0.348432i
$293$	9.48041	−	10.5291i	0.553852	−	0.615115i	−0.399589	−	0.916694i	$-0.630847\pi$
$293$	9.48041	−	10.5291i	0.553852	−	0.615115i	0.953441	+	0.301580i	$0.0975139\pi$
$294$	−14.6023	−	10.1984i	−0.851622	−	0.594780i
$295$	6.12210	−	2.72574i	0.356443	−	0.158699i
$296$	0.780897			0.0453887
$297$	−14.1272	+	9.87023i	−0.819745	+	0.572729i
$298$	9.51670			0.551288
$299$	3.69765	−	1.64630i	0.213840	−	0.0952079i
$300$	7.70698	+	5.38262i	0.444963	+	0.310766i
$301$	−1.37186	+	1.52361i	−0.0790728	+	0.0878192i
$302$	1.94276	−	4.36351i	0.111793	−	0.251092i
$303$	9.17447	+	1.77184i	0.527059	+	0.101789i
$304$	0.824453	−	3.87875i	0.0472856	−	0.222461i
$305$	−5.49351	+	16.9073i	−0.314557	+	0.968108i
$306$	0.456641	+	0.0793810i	0.0261044	+	0.00453791i
$307$			11.5389i			0.658559i	0.944233	+	0.329279i	$0.106806\pi$
$307$			11.5389i			0.658559i	−0.944233	+	0.329279i	$0.893194\pi$
$308$	−1.92306	+	25.7751i	−0.109577	+	1.46867i
$309$	−27.7661	+	6.44564i	−1.57956	+	0.366680i
$310$	1.39126	+	0.146227i	0.0790182	+	0.00830515i
$311$	5.68898	+	26.7646i	0.322593	+	1.51768i	0.778496	+	0.627649i	$0.215983\pi$
$311$	5.68898	+	26.7646i	0.322593	+	1.51768i	−0.455904	+	0.890029i	$0.650684\pi$
$312$	2.79478	−	1.68387i	0.158223	−	0.0953306i
$313$	−0.868593	−	8.26411i	−0.0490958	−	0.467115i	−0.991256	−	0.131952i	$-0.957875\pi$
$313$	−0.868593	−	8.26411i	−0.0490958	−	0.467115i	0.942160	−	0.335163i	$-0.108791\pi$
$314$	−2.18973	+	1.59093i	−0.123573	+	0.0897814i
$315$	5.06539	−	17.8276i	0.285402	−	1.00447i
$316$	3.38694	+	1.10048i	0.190530	+	0.0619071i
$317$	6.17997	+	13.8804i	0.347102	+	0.779603i	0.999759	+	0.0219501i	$0.00698750\pi$
$317$	6.17997	+	13.8804i	0.347102	+	0.779603i	−0.652657	+	0.757653i	$0.726346\pi$
$318$	−9.35559	+	8.74538i	−0.524636	+	0.490417i
$319$	−15.7724	−	20.3827i	−0.883084	−	1.14121i
$320$	−0.0989432	+	0.0571249i	−0.00553110	+	0.00319338i
$321$	3.15329	−	2.38215i	0.175999	−	0.132959i
$322$	9.81845	+	10.9045i	0.547161	+	0.607684i
$323$	−0.515471	+	0.167487i	−0.0286816	+	0.00931920i
$324$	0.435519	−	14.4769i	0.0241955	−	0.804272i
$325$	−1.65524	−	2.27825i	−0.0918165	−	0.126375i
$326$	4.35697	+	0.926103i	0.241310	+	0.0512921i
$327$	8.82598	−	12.6373i	0.488078	−	0.698843i
$328$	1.14647	−	10.9079i	0.0633030	−	0.602288i
$329$	−18.0078	−	31.1904i	−0.992800	−	1.71958i
$330$	4.42880	−	1.17033i	0.243797	−	0.0644246i
$331$	−7.20722	+	12.4833i	−0.396145	+	0.686142i	−0.993247	−	0.116023i	$-0.962985\pi$
$331$	−7.20722	+	12.4833i	−0.396145	+	0.686142i	0.597102	+	0.802165i	$0.296319\pi$
$332$	5.37337	+	3.90398i	0.294902	+	0.214259i
$333$	−0.816711	+	0.641268i	−0.0447555	+	0.0351413i
$334$	1.57969	+	4.86179i	0.0864369	+	0.266025i
$335$	0.640583	−	0.0673280i	0.0349988	−	0.00367852i
$336$	−11.4590	−	9.93688i	−0.625140	−	0.542101i
$337$	−5.75411	−	5.18103i	−0.313447	−	0.282228i	0.497358	−	0.867545i	$-0.334303\pi$
$337$	−5.75411	−	5.18103i	−0.313447	−	0.282228i	−0.810805	+	0.585317i	$0.800970\pi$
$338$	7.52221	−	1.59890i	0.409154	−	0.0869684i
$339$	4.88659	−	11.5509i	0.265403	−	0.627357i
$340$	0.439431	+	0.253705i	0.0238315	+	0.0137591i
$341$	4.20419	−	4.02226i	0.227670	−	0.217818i
$342$	−1.81160	−	3.69166i	−0.0979600	−	0.199622i
$343$	26.9014	−	37.0266i	1.45254	−	1.99925i
$344$	0.709822	−	0.639126i	0.0382710	−	0.0344594i
$345$	−5.18141	+	9.37419i	−0.278958	+	0.504690i
$346$	3.86325	+	1.72003i	0.207690	+	0.0924694i
$347$	−7.91242	−	3.52284i	−0.424761	−	0.189116i	0.183212	−	0.983073i	$-0.441351\pi$
$347$	−7.91242	−	3.52284i	−0.424761	−	0.189116i	−0.607973	+	0.793958i	$0.708017\pi$
$348$	21.6559	−	0.404173i	1.16088	−	0.0216659i
$349$	−12.4580	+	11.2173i	−0.666864	+	0.600447i	−0.931430	−	0.363921i	$-0.881438\pi$
$349$	−12.4580	+	11.2173i	−0.666864	+	0.600447i	0.264566	+	0.964368i	$0.414771\pi$
$350$	6.00066	−	8.25920i	0.320749	−	0.441473i
$351$	−1.54017	+	4.05616i	−0.0822083	+	0.216502i
$352$	3.33549	−	18.4145i	0.177782	−	0.981495i
$353$	10.1385	+	5.85345i	0.539617	+	0.311548i	0.744924	−	0.667150i	$-0.232486\pi$
$353$	10.1385	+	5.85345i	0.539617	+	0.311548i	−0.205307	+	0.978698i	$0.565819\pi$
$354$	−3.42829	−	4.53808i	−0.182212	−	0.241196i
$355$	−14.7629	+	3.13794i	−0.783532	+	0.166545i
$356$	16.1718	+	14.5612i	0.857104	+	0.771740i
$357$	−0.393109	+	2.03550i	−0.0208055	+	0.107730i
$358$	−4.47782	+	0.470638i	−0.236660	+	0.0248740i
$359$	−5.55436	−	17.0946i	−0.293148	−	0.902217i	−0.983837	−	0.179065i	$-0.942693\pi$
$359$	−5.55436	−	17.0946i	−0.293148	−	0.902217i	0.690689	−	0.723152i	$-0.257307\pi$
$360$	−3.21512	+	8.01338i	−0.169452	+	0.422342i
$361$	−11.4810	−	8.34140i	−0.604261	−	0.439021i
$362$	−0.148089	+	0.256498i	−0.00778339	+	0.0134812i
$363$	8.19170	−	17.2016i	0.429953	−	0.902851i
$364$	3.25357	+	5.63535i	0.170534	+	0.295373i
$365$	−0.540050	+	5.13823i	−0.0282675	+	0.268947i
$366$	15.0316	+	1.29680i	0.785715	+	0.0677849i
$367$	26.8679	+	5.71096i	1.40250	+	0.298110i	0.846196	−	0.532872i	$-0.178887\pi$
$367$	26.8679	+	5.71096i	1.40250	+	0.298110i	0.556300	+	0.830982i	$0.312221\pi$
$368$	5.15233	+	7.09157i	0.268584	+	0.369674i
$369$	7.75846	+	12.3496i	0.403889	+	0.642896i
$370$	0.262500	−	0.0852915i	0.0136467	−	0.00443409i
$371$	−38.3289	−	42.5686i	−1.98994	−	2.21005i
$372$	0.601788	+	4.85270i	0.0312012	+	0.251601i
$373$	14.6976	−	8.48568i	0.761015	−	0.439372i	−0.0686452	−	0.997641i	$-0.521868\pi$
$373$	14.6976	−	8.48568i	0.761015	−	0.439372i	0.829660	+	0.558269i	$0.188534\pi$
$374$	−0.482316	+	0.173009i	−0.0249400	+	0.00894606i
$375$	17.6981	+	5.38747i	0.913924	+	0.278208i
$376$	6.82464	+	15.3284i	0.351954	+	0.790501i
$377$	−6.17089	−	2.00505i	−0.317817	−	0.103265i
$378$	−15.7103	−	0.766261i	−0.808049	−	0.0394122i
$379$	12.4374	−	9.03634i	0.638869	−	0.464165i	−0.220593	−	0.975366i	$-0.570799\pi$
$379$	12.4374	−	9.03634i	0.638869	−	0.464165i	0.859461	+	0.511201i	$0.170799\pi$
$380$	−0.470576	−	4.47723i	−0.0241400	−	0.229677i
$381$	−0.0930816	−	4.98737i	−0.00476871	−	0.255511i
$382$	−0.00527617	−	0.0248224i	−0.000269952	−	0.00127003i
$383$	8.24491	+	0.866575i	0.421295	+	0.0442799i	0.312805	−	0.949818i	$-0.398732\pi$
$383$	8.24491	+	0.866575i	0.421295	+	0.0442799i	0.108491	+	0.994097i	$0.465398\pi$
$384$	13.4140	+	14.3500i	0.684530	+	0.732293i
$385$	4.86414	+	19.9035i	0.247899	+	1.01438i
$386$			7.02414i			0.357519i
$387$	−0.217529	+	1.25134i	−0.0110576	+	0.0636092i
$388$	3.95316	−	12.1666i	0.200691	−	0.617665i
$389$	5.23608	−	24.6338i	0.265480	−	1.24898i	−0.620109	−	0.784515i	$-0.712912\pi$
$389$	5.23608	−	24.6338i	0.265480	−	1.24898i	0.885589	−	0.464469i	$-0.153755\pi$
$390$	0.755556	−	0.871291i	0.0382591	−	0.0441195i
$391$	0.487314	−	1.09452i	0.0246445	−	0.0553525i
$392$	−24.8347	+	27.5817i	−1.25434	+	1.39309i
$393$	0.0838700	−	0.972163i	0.00423068	−	0.0490391i
$394$	−11.8862	+	5.29209i	−0.598820	+	0.266612i
$395$	2.82307			0.142044
$396$	7.48549	+	14.1546i	0.376160	+	0.711297i
$397$	−26.0948			−1.30966			−0.654830	−	0.755776i	$-0.727260\pi$
$397$	−26.0948			−1.30966			−0.654830	+	0.755776i	$0.727260\pi$
$398$	−8.22933	+	3.66393i	−0.412499	+	0.183656i
$399$	16.6605	−	7.79344i	0.834069	−	0.390160i
$400$	4.08079	−	4.53218i	0.204039	−	0.226609i
$401$	1.71918	−	3.86134i	0.0858518	−	0.192826i	−0.865518	−	0.500878i	$-0.833010\pi$
$401$	1.71918	−	3.86134i	0.0858518	−	0.192826i	0.951370	+	0.308052i	$0.0996771\pi$
$402$	−0.178596	−	0.516653i	−0.00890757	−	0.0257683i
$403$	0.304556	−	1.43282i	0.0151710	−	0.0713740i
$404$	2.68277	−	8.25672i	0.133473	−	0.410787i
$405$	−3.21797	−	11.0211i	−0.159902	−	0.547644i
$406$		−	23.5222i		−	1.16739i
$407$	0.434993	−	1.06237i	0.0215618	−	0.0526598i
$408$	0.281264	−	0.923964i	0.0139246	−	0.0457430i
$409$	−25.1567	−	2.64407i	−1.24392	−	0.130741i	−0.540393	−	0.841413i	$-0.681724\pi$
$409$	−25.1567	−	2.64407i	−1.24392	−	0.130741i	−0.703524	+	0.710672i	$0.748391\pi$
$410$	−0.806000	−	3.79193i	−0.0398055	−	0.187270i
$411$	−7.03726	−	3.88971i	−0.347122	−	0.191865i
$412$	2.76832	+	26.3388i	0.136385	+	1.29762i
$413$	20.5807	−	14.9527i	1.01271	−	0.735775i
$414$	8.74408	+	2.48448i	0.429748	+	0.122105i
$415$	5.00743	+	1.62701i	0.245805	+	0.0798669i
$416$	−1.91632	−	4.30412i	−0.0939552	−	0.211027i
$417$	−4.11573	−	17.7295i	−0.201548	−	0.868215i
$418$	3.75710	+	2.55974i	0.183766	+	0.125201i
$419$	13.4153	−	7.74533i	0.655381	−	0.378384i	−0.135134	−	0.990827i	$-0.543146\pi$
$419$	13.4153	−	7.74533i	0.655381	−	0.378384i	0.790515	+	0.612443i	$0.209813\pi$
$420$	−15.8587	−	6.70903i	−0.773826	−	0.327367i
$421$	−19.4252	−	21.5738i	−0.946725	−	1.05144i	−0.998606	−	0.0527908i	$-0.983188\pi$
$421$	−19.4252	−	21.5738i	−0.946725	−	1.05144i	0.0518811	−	0.998653i	$-0.483478\pi$
$422$	−10.8059	+	3.51104i	−0.526021	+	0.170915i
$423$	−19.7252	−	10.4270i	−0.959073	−	0.506980i
$424$	15.6860	+	21.5899i	0.761778	+	1.04850i
$425$	−0.815358	−	0.173310i	−0.0395507	−	0.00840675i
$426$	5.42733	+	11.6023i	0.262955	+	0.562135i
$427$	−7.05396	+	67.1139i	−0.341365	+	3.24787i
$428$	−1.83590	−	3.17988i	−0.0887417	−	0.153705i
$429$	−0.734011	−	4.74015i	−0.0354384	−	0.228857i
$430$	0.168801	−	0.292372i	0.00814032	−	0.0140994i
$431$	3.88324	+	2.82134i	0.187049	+	0.135899i	0.677369	−	0.735643i	$-0.263120\pi$
$431$	3.88324	+	2.82134i	0.187049	+	0.135899i	−0.490320	+	0.871542i	$0.663120\pi$
$432$	−9.28578	−	1.43625i	−0.446763	−	0.0691015i
$433$	8.34981	+	25.6981i	0.401266	+	1.23497i	0.923973	+	0.382458i	$0.124922\pi$
$433$	8.34981	+	25.6981i	0.401266	+	1.23497i	−0.522706	+	0.852513i	$0.675078\pi$
$434$	5.28128	−	0.555085i	0.253510	−	0.0266449i
$435$	16.2278	−	5.60962i	0.778064	−	0.268961i
$436$	−10.6430	−	9.58301i	−0.509708	−	0.458943i
$437$	−10.3977	+	2.21009i	−0.497387	+	0.105723i
$438$	4.35145	−	0.539627i	0.207920	−	0.0257844i
$439$	27.6193	+	15.9460i	1.31820	+	0.761061i	0.983438	−	0.181243i	$-0.0580122\pi$
$439$	27.6193	+	15.9460i	1.31820	+	0.761061i	0.334758	+	0.942304i	$0.391346\pi$
$440$	−1.28444	−	9.45877i	−0.0612334	−	0.450929i
$441$	3.32373	−	49.2408i	0.158273	−	2.34480i
$442$	−0.0758259	+	0.104365i	−0.00360667	+	0.00496416i
$443$	−8.31449	+	7.48640i	−0.395033	+	0.355690i	−0.842580	−	0.538571i	$-0.818964\pi$
$443$	−8.31449	+	7.48640i	−0.395033	+	0.355690i	0.447547	+	0.894260i	$0.352298\pi$
$444$	0.497895	+	0.826374i	0.0236291	+	0.0392180i
$445$	15.7592	+	7.01646i	0.747059	+	0.332612i
$446$	−0.430834	−	0.191820i	−0.0204006	−	0.00908293i
$447$	13.6088	+	22.5871i	0.643676	+	1.06833i
$448$	−0.322300	+	0.290200i	−0.0152272	+	0.0137107i
$449$	−14.9366	+	20.5585i	−0.704903	+	0.970216i	0.294989	+	0.955501i	$0.404684\pi$
$449$	−14.9366	+	20.5585i	−0.704903	+	0.970216i	−0.999892	+	0.0147150i	$0.995316\pi$
$450$	0.425926	−	6.31007i	0.0200784	−	0.297460i
$451$	−14.2010	−	7.63587i	−0.668699	−	0.359559i
$452$	−10.0917	−	5.82646i	−0.474675	−	0.274054i
$453$	13.1345	−	1.62883i	0.617115	−	0.0765290i
$454$	−10.1607	+	2.15971i	−0.476863	+	0.101360i
$455$	3.83340	+	3.45161i	0.179712	+	0.161814i
$456$	−8.09885	+	2.79960i	−0.379263	+	0.131104i
$457$	14.8468	−	1.56046i	0.694503	−	0.0729952i	0.249302	−	0.968426i	$-0.419799\pi$
$457$	14.8468	−	1.56046i	0.694503	−	0.0729952i	0.445201	+	0.895431i	$0.353132\pi$
$458$	4.24914	+	13.0775i	0.198549	+	0.611072i
$459$	0.464590	+	1.19731i	0.0216852	+	0.0558857i
$460$	8.05102	+	5.84941i	0.375381	+	0.272730i
$461$	6.50819	−	11.2725i	0.303117	−	0.525013i	−0.673724	−	0.738983i	$-0.735306\pi$
$461$	6.50819	−	11.2725i	0.303117	−	0.525013i	0.976840	+	0.213970i	$0.0686395\pi$
$462$	15.5209	−	7.84094i	0.722096	−	0.364793i
$463$	2.01632	+	3.49236i	0.0937062	+	0.162304i	0.909068	−	0.416648i	$-0.136795\pi$
$463$	2.01632	+	3.49236i	0.0937062	+	0.162304i	−0.815362	+	0.578952i	$0.803462\pi$
$464$	1.46881	−	13.9748i	0.0681879	−	0.648764i
$465$	1.64244	+	3.51114i	0.0761662	+	0.162825i
$466$	−9.45468	−	2.00965i	−0.437980	−	0.0930954i
$467$	−24.7492	−	34.0643i	−1.14525	−	1.57631i	−0.755170	−	0.655529i	$-0.772446\pi$
$467$	−24.7492	−	34.0643i	−1.14525	−	1.57631i	−0.390085	−	0.920779i	$-0.627554\pi$
$468$	3.56388	+	1.88392i	0.164740	+	0.0870841i
$469$	2.32540	−	0.755569i	0.107377	−	0.0348889i
$470$	3.96832	+	4.40727i	0.183045	+	0.203292i
$471$	−6.90723	−	2.92210i	−0.318268	−	0.134643i
$472$	−10.2638	+	5.92582i	−0.472430	+	0.272758i
$473$	−0.474098	−	1.32170i	−0.0217991	−	0.0607717i
$474$	−0.541781	−	2.33385i	−0.0248848	−	0.107197i
$475$	3.00810	+	6.75631i	0.138021	+	0.310001i
$476$	1.83188	+	0.595214i	0.0839641	+	0.0272816i
$477$	−34.1349	−	9.69882i	−1.56293	−	0.444079i
$478$	−9.51213	+	6.91097i	−0.435075	+	0.316100i
$479$	0.777229	+	7.39484i	0.0355125	+	0.337879i	0.997824	+	0.0659302i	$0.0210015\pi$
$479$	0.777229	+	7.39484i	0.0355125	+	0.337879i	−0.962312	+	0.271949i	$0.912332\pi$
$480$	10.9117	+	6.03124i	0.498049	+	0.275287i
$481$	−0.0600892	−	0.282697i	−0.00273983	−	0.0128899i
$482$	9.67812	+	1.01721i	0.440826	+	0.0463327i
$483$	−11.8405	+	38.8966i	−0.538763	+	1.76986i
$484$	−14.9241	−	9.52007i	−0.678368	−	0.432731i
$485$		−	10.1410i		−	0.460480i
$486$	−8.49367	+	4.77541i	−0.385281	+	0.216617i
$487$	4.00699	−	12.3322i	0.181574	−	0.558827i	−0.818299	−	0.574793i	$-0.805082\pi$
$487$	4.00699	−	12.3322i	0.181574	−	0.558827i	0.999873	+	0.0159664i	$0.00508249\pi$
$488$	6.53663	−	30.7524i	0.295899	−	1.39210i
$489$	4.03243	+	11.6652i	0.182353	+	0.527520i
$490$	−5.33570	+	11.9842i	−0.241042	+	0.541390i
$491$	−21.5483	+	23.9318i	−0.972459	+	1.08003i	0.0243100	+	0.999704i	$0.492261\pi$
$491$	−21.5483	+	23.9318i	−0.972459	+	1.08003i	−0.996769	+	0.0803207i	$0.974406\pi$
$492$	12.2741	−	5.74158i	0.553360	−	0.258850i
$493$	−1.75458	+	0.781188i	−0.0790221	+	0.0351829i
$494$	1.14455			0.0514957
$495$	9.11084	+	8.83780i	0.409502	+	0.397230i
$496$	3.17233			0.142442
$497$	−52.3393	+	23.3029i	−2.34774	+	1.04528i
$498$	0.384074	−	4.45192i	0.0172108	−	0.199495i
$499$	−17.3087	+	19.2233i	−0.774845	+	0.860553i	−0.993332	−	0.115287i	$-0.963221\pi$
$499$	−17.3087	+	19.2233i	−0.774845	+	0.860553i	0.218487	+	0.975840i	$0.429888\pi$
$500$	6.99120	−	15.7025i	0.312656	−	0.702236i
$501$	−9.28009	+	10.7016i	−0.414604	+	0.478112i
$502$	−1.83993	+	8.65620i	−0.0821202	+	0.386345i
$503$	0.339066	−	1.04354i	0.0151182	−	0.0465290i	−0.943213	−	0.332189i	$-0.892213\pi$
$503$	0.339066	−	1.04354i	0.0151182	−	0.0465290i	0.958331	+	0.285660i	$0.0922128\pi$
$504$	−5.61353	+	32.2919i	−0.250046	+	1.43840i
$505$		−	6.88210i		−	0.306250i
$506$	−9.76229	+	2.38577i	−0.433987	+	0.106060i
$507$	14.5516	+	15.5669i	0.646258	+	0.691350i
$508$	−4.60926	−	0.484452i	−0.204503	−	0.0214941i
$509$	−1.45591	−	6.84951i	−0.0645320	−	0.303599i	0.934031	−	0.357192i	$-0.116266\pi$
$509$	−1.45591	−	6.84951i	−0.0645320	−	0.303599i	−0.998563	+	0.0535932i	$0.982933\pi$
$510$	−0.00637007	−	0.341313i	−0.000282071	−	0.0151136i
$511$	2.05005	+	19.5049i	0.0906890	+	0.862848i
$512$	14.8558	−	10.7934i	0.656539	−	0.477003i
$513$	6.17126	−	9.57873i	0.272468	−	0.422911i
$514$	−8.84890	−	2.87518i	−0.390308	−	0.126819i
$515$	8.53914	+	19.1792i	0.376279	+	0.845137i
$516$	1.12893	+	0.343657i	0.0496982	+	0.0151286i
$517$	24.6551	−	0.746007i	1.08433	−	0.0328094i
$518$	0.907371	−	0.523871i	0.0398676	−	0.0230176i
$519$	1.44209	+	11.6287i	0.0633007	+	0.510444i
$520$	−1.60804	−	1.78591i	−0.0705174	−	0.0783175i
$521$	7.27467	−	2.36368i	0.318709	−	0.103555i	−0.145294	−	0.989389i	$-0.546413\pi$
$521$	7.27467	−	2.36368i	0.318709	−	0.103555i	0.464003	+	0.885834i	$0.346413\pi$
$522$	−7.75182	−	12.3391i	−0.339288	−	0.540067i
$523$	−18.3418	−	25.2453i	−0.802029	−	1.10390i	−0.992505	−	0.122206i	$-0.961003\pi$
$523$	−18.3418	−	25.2453i	−0.802029	−	1.10390i	0.190476	−	0.981692i	$-0.438997\pi$
$524$	−0.886793	−	0.188494i	−0.0387398	−	0.00823439i
$525$	28.1834	+	2.43143i	1.23002	+	0.106116i
$526$	1.56168	−	14.8584i	0.0680924	−	0.647856i
$527$	−0.216799	−	0.375508i	−0.00944393	−	0.0163574i
$528$	9.71072	−	3.68921i	0.422605	−	0.160552i
$529$	0.248947	−	0.431189i	0.0108238	−	0.0187473i
$530$	7.63097	+	5.54423i	0.331468	+	0.240826i
$531$	5.86830	−	14.6262i	0.254662	−	0.634722i
$532$	−5.28091	−	16.2530i	−0.228956	−	0.704656i
$533$	−4.03706	+	0.424312i	−0.174864	+	0.0183790i
$534$	2.77616	−	14.3748i	0.120136	−	0.622058i
$535$	−2.16308	−	1.94765i	−0.0935182	−	0.0842041i
$536$	−1.11423	+	0.236836i	−0.0481272	+	0.0102298i
$537$	−7.52029	−	9.95472i	−0.324524	−	0.429578i
$538$	4.26107	+	2.46013i	0.183708	+	0.106064i
$539$	23.6896	+	49.1506i	1.02038	+	2.11707i
$540$	−10.5300	+	1.70693i	−0.453139	+	0.0734545i
$541$	−16.7402	+	23.0409i	−0.719717	+	0.990605i	0.279817	+	0.960053i	$0.409726\pi$
$541$	−16.7402	+	23.0409i	−0.719717	+	0.990605i	−0.999533	+	0.0305514i	$0.990274\pi$
$542$	2.28523	−	2.05763i	0.0981591	−	0.0883829i
$543$	−0.820541	+	0.0153141i	−0.0352128	+	0.000657192i
$544$	−1.27404	−	0.567241i	−0.0546242	−	0.0243203i
$545$	−10.3715	−	4.61768i	−0.444265	−	0.197800i
$546$	2.11779	−	3.83150i	0.0906329	−	0.163973i
$547$	29.9893	−	27.0025i	1.28225	−	1.15454i	0.302756	−	0.953068i	$-0.402093\pi$
$547$	29.9893	−	27.0025i	1.28225	−	1.15454i	0.979494	−	0.201475i	$-0.0645734\pi$
$548$	−4.39118	+	6.04394i	−0.187582	+	0.258185i
$549$	18.4173	+	37.5307i	0.786031	+	1.60177i
$550$	3.03575	+	6.29851i	0.129445	+	0.268569i
$551$	14.7573	+	8.52016i	0.628684	+	0.362971i
$552$	7.38027	−	17.4454i	0.314125	−	0.742525i
$553$	10.4823	−	2.22808i	0.445753	−	0.0947477i
$554$	12.2676	+	11.0458i	0.521199	+	0.469289i
$555$	0.577806	+	0.501055i	0.0245265	+	0.0212686i
$556$	−16.8181	+	1.76765i	−0.713245	+	0.0749650i
$557$	5.23145	+	16.1007i	0.221664	+	0.682211i	0.998613	+	0.0526476i	$0.0167660\pi$
$557$	5.23145	+	16.1007i	0.221664	+	0.682211i	−0.776950	+	0.629563i	$0.783234\pi$
$558$	2.58748	−	2.03164i	0.109537	−	0.0860063i
$559$	−0.285994	−	0.207787i	−0.0120963	−	0.00878845i
$560$	−5.58560	+	9.67455i	−0.236035	+	0.408824i
$561$	−1.10033	−	0.897333i	−0.0464560	−	0.0378854i
$562$	−4.96742	−	8.60382i	−0.209538	−	0.362930i
$563$	2.43336	−	23.1519i	0.102554	−	0.975735i	−0.815360	−	0.578955i	$-0.803461\pi$
$563$	2.43336	−	23.1519i	0.102554	−	0.975735i	0.917914	−	0.396780i	$-0.129872\pi$
$564$	−11.8697	+	16.9954i	−0.499806	+	0.715635i
$565$	−9.03564	−	1.92058i	−0.380132	−	0.0807996i
$566$	−4.04544	−	5.56807i	−0.170042	−	0.234043i
$567$	−20.6470	−	38.3827i	−0.867090	−	1.61192i
$568$	25.3852	−	8.24815i	1.06514	−	0.346085i
$569$	15.2249	+	16.9089i	0.638260	+	0.708859i	0.972310	−	0.233696i	$-0.0750821\pi$
$569$	15.2249	+	16.9089i	0.638260	+	0.708859i	−0.334050	+	0.942555i	$0.608415\pi$
$570$	−2.41667	+	1.82567i	−0.101223	+	0.0764689i
$571$	25.0248	−	14.4481i	1.04726	−	0.604634i	0.125377	−	0.992109i	$-0.459986\pi$
$571$	25.0248	−	14.4481i	1.04726	−	0.604634i	0.921880	+	0.387475i	$0.126653\pi$
$572$	−4.45459	+	0.134786i	−0.186256	+	0.00563567i
$573$	0.0513689	−	0.0480185i	0.00214597	−	0.00200600i
$574$	−5.98550	−	13.4437i	−0.249830	−	0.561127i
$575$	−15.5483	−	5.05196i	−0.648410	−	0.210681i
$576$	−0.0734327	+	0.258445i	−0.00305970	+	0.0107686i
$577$	25.9942	−	18.8859i	1.08215	−	0.786229i	0.104094	−	0.994567i	$-0.466806\pi$
$577$	25.9942	−	18.8859i	1.08215	−	0.786229i	0.978057	+	0.208339i	$0.0668056\pi$
$578$	−1.10677	−	10.5302i	−0.0460356	−	0.437999i
$579$	−16.6712	+	10.0445i	−0.692830	+	0.417434i
$580$	−3.31679	−	15.6043i	−0.137722	−	0.647933i
$581$	19.8772	+	2.08917i	0.824643	+	0.0866735i
$582$	−8.38365	+	1.94619i	−0.347514	+	0.0806721i
$583$	38.1097	−	9.31348i	1.57834	−	0.385725i
$584$		−	9.13707i		−	0.378095i
$585$	3.14837	+	0.547304i	0.130169	+	0.0226282i
$586$	−2.73676	+	8.42287i	−0.113054	+	0.347945i
$587$	−0.771344	+	3.62889i	−0.0318368	+	0.149780i	−0.991195	−	0.132411i	$-0.957728\pi$
$587$	−0.771344	+	3.62889i	−0.0318368	+	0.149780i	0.959358	+	0.282192i	$0.0910614\pi$
$588$	−45.0225	−	8.69506i	−1.85670	−	0.358578i
$589$	−1.56472	+	3.51442i	−0.0644733	+	0.144809i
$590$	−2.80297	+	3.11302i	−0.115397	+	0.128161i
$591$	−29.5576	−	20.6433i	−1.21584	−	0.849150i
$592$	0.571791	−	0.254578i	0.0235005	−	0.0104631i
$593$	−38.2706			−1.57159			−0.785793	−	0.618490i	$-0.787745\pi$
$593$	−38.2706			−1.57159			−0.785793	+	0.618490i	$0.787745\pi$
$594$	5.55778	−	9.22807i	0.228039	−	0.378632i
$595$	1.52690			0.0625968
$596$	22.3825	−	9.96533i	0.916823	−	0.408196i
$597$	−20.4639	−	14.2922i	−0.837533	−	0.584940i
$598$	−1.69295	+	1.88021i	−0.0692298	+	0.0768874i
$599$	5.08435	−	11.4196i	0.207741	−	0.466594i	−0.779384	−	0.626547i	$-0.784468\pi$
$599$	5.08435	−	11.4196i	0.207741	−	0.466594i	0.987125	+	0.159953i	$0.0511343\pi$
$600$	−12.9398	−	2.49903i	−0.528266	−	0.102022i
$601$	−4.75323	+	22.3622i	−0.193888	+	0.912173i	0.768364	+	0.640013i	$0.221071\pi$
$601$	−4.75323	+	22.3622i	−0.193888	+	0.912173i	−0.962252	+	0.272159i	$0.912262\pi$
$602$	0.396022	−	1.21883i	0.0161406	−	0.0496758i
$603$	0.970838	−	1.16269i	0.0395356	−	0.0473485i
$604$		−	12.2970i		−	0.500356i
$605$	−13.5837	−	3.52152i	−0.552255	−	0.143170i
$606$	−5.68948	+	1.32076i	−0.231119	+	0.0536522i
$607$	−30.2294	−	3.17724i	−1.22698	−	0.128960i	−0.531217	−	0.847236i	$-0.678265\pi$
$607$	−30.2294	−	3.17724i	−1.22698	−	0.128960i	−0.695759	+	0.718276i	$0.744932\pi$
$608$	2.57258	+	12.1030i	0.104332	+	0.490843i
$609$	55.8280	−	33.6367i	2.26226	−	1.36303i
$610$	−1.16155	−	11.0514i	−0.0470299	−	0.447460i
$611$	5.02398	−	3.65013i	0.203248	−	0.147669i
$612$	1.15711	−	0.291470i	0.0467732	−	0.0117820i
$613$	1.41405	+	0.459451i	0.0571128	+	0.0185571i	0.337434	−	0.941349i	$-0.390441\pi$
$613$	1.41405	+	0.459451i	0.0571128	+	0.0185571i	−0.280321	+	0.959906i	$0.590441\pi$
$614$	−2.93369	−	6.58918i	−0.118394	−	0.265918i
$615$	7.84724	−	7.33542i	0.316431	−	0.295793i
$616$	−12.2345	−	34.1075i	−0.492942	−	1.37423i
$617$	−29.1210	+	16.8130i	−1.17237	+	0.676867i	−0.954237	−	0.299052i	$-0.903330\pi$
$617$	−29.1210	+	16.8130i	−1.17237	+	0.676867i	−0.218132	+	0.975919i	$0.569996\pi$
$618$	14.2168	−	10.7401i	0.571884	−	0.432030i
$619$	1.89055	+	2.09967i	0.0759875	+	0.0843927i	0.779940	−	0.625855i	$-0.215250\pi$
$619$	1.89055	+	2.09967i	0.0759875	+	0.0843927i	−0.703952	+	0.710247i	$0.748583\pi$
$620$	3.42525	−	1.11293i	0.137561	−	0.0446964i
$621$	6.60730	+	24.3061i	0.265142	+	0.975370i
$622$	−10.0534	−	13.8373i	−0.403103	−	0.554824i
$623$	64.0531	+	13.6149i	2.56623	+	0.545470i
$624$	1.49745	−	2.14409i	0.0599461	−	0.0858323i
$625$	−0.338385	+	3.21951i	−0.0135354	+	0.128781i
$626$	2.59710	+	4.49831i	0.103801	+	0.179789i
$627$	−0.702684	+	12.5776i	−0.0280625	+	0.502300i
$628$	−3.48413	+	6.03469i	−0.139032	+	0.240810i
$629$	−0.0692110	−	0.0502848i	−0.00275962	−	0.00200498i
$630$	1.64000	+	11.4681i	0.0653393	+	0.456901i
$631$	2.32895	+	7.16777i	0.0927140	+	0.285344i	0.986651	−	0.162848i	$-0.0520680\pi$
$631$	2.32895	+	7.16777i	0.0927140	+	0.285344i	−0.893937	+	0.448192i	$0.852068\pi$
$632$	−4.96527	+	0.521871i	−0.197508	+	0.0207589i
$633$	−23.7855	−	20.6260i	−0.945388	−	0.819810i
$634$	−7.05804	−	6.35509i	−0.280310	−	0.252393i
$635$	−3.59369	+	0.763862i	−0.142611	+	0.0303130i
$636$	−12.8459	+	30.3651i	−0.509374	+	1.20405i
$637$	11.8960	+	6.86818i	0.471338	+	0.272127i
$638$	14.1889	+	7.62935i	0.561743	+	0.302049i
$639$	−19.7761	+	29.4726i	−0.782330	+	1.16592i
$640$	8.50394	−	11.7047i	0.336148	−	0.462668i
$641$	14.3168	−	12.8909i	0.565479	−	0.509160i	−0.336070	−	0.941837i	$-0.609098\pi$
$641$	14.3168	−	12.8909i	0.565479	−	0.509160i	0.901549	+	0.432677i	$0.142431\pi$
$642$	−1.19501	+	2.16201i	−0.0471633	+	0.0853277i
$643$	−17.1490	−	7.63522i	−0.676290	−	0.301104i	0.0397024	−	0.999212i	$-0.487359\pi$
$643$	−17.1490	−	7.63522i	−0.676290	−	0.301104i	−0.715993	+	0.698108i	$0.754026\pi$
$644$	34.5107	+	15.3652i	1.35991	+	0.605473i
$645$	0.935305	−	0.0174560i	0.0368276	−	0.000687330i
$646$	0.251773	−	0.226697i	0.00990586	−	0.00891928i
$647$	1.43599	−	1.97647i	0.0564545	−	0.0777030i	−0.779856	−	0.625959i	$-0.784708\pi$
$647$	1.43599	−	1.97647i	0.0564545	−	0.0777030i	0.836311	+	0.548256i	$0.184708\pi$
$648$	7.69720	+	18.7893i	0.302375	+	0.738115i
$649$	2.34439	+	17.2643i	0.0920254	+	0.677685i
$650$	1.52444	+	0.880138i	0.0597936	+	0.0345219i
$651$	8.86965	+	11.7409i	0.347629	+	0.460162i
$652$	11.2170	−	2.38425i	0.439292	−	0.0933744i
$653$	14.8396	+	13.3616i	0.580717	+	0.522880i	0.906301	−	0.422634i	$-0.138894\pi$
$653$	14.8396	+	13.3616i	0.580717	+	0.522880i	−0.325584	+	0.945513i	$0.605561\pi$
$654$	−1.82705	+	9.46036i	−0.0714433	+	0.369929i
$655$	−0.714747	+	0.0751229i	−0.0279275	+	0.00293530i
$656$	−2.71658	−	8.36077i	−0.106065	−	0.326433i
$657$	7.50331	+	9.55612i	0.292732	+	0.372820i
$658$	18.2131	+	13.2326i	0.710022	+	0.515861i
$659$	17.8420	−	30.9032i	0.695024	−	1.20382i	−0.275148	−	0.961402i	$-0.588727\pi$
$659$	17.8420	−	30.9032i	0.695024	−	1.20382i	0.970172	−	0.242416i	$-0.0779398\pi$
$660$	9.19067	−	7.39010i	0.357746	−	0.287659i
$661$	4.45874	+	7.72277i	0.173425	+	0.300381i	0.939615	−	0.342233i	$-0.111183\pi$
$661$	4.45874	+	7.72277i	0.173425	+	0.300381i	−0.766190	+	0.642614i	$0.777850\pi$
$662$	0.941823	−	8.96085i	0.0366050	−	0.348273i
$663$	−0.356133	−	0.0307241i	−0.0138311	−	0.00119323i
$664$	−9.10795	−	1.93596i	−0.353457	−	0.0751296i
$665$	−7.96278	−	10.9598i	−0.308783	−	0.425004i
$666$	0.303337	−	0.573834i	0.0117541	−	0.0222356i
$667$	−35.8246	+	11.6401i	−1.38714	+	0.450708i
$668$	8.80629	+	9.78038i	0.340726	+	0.378414i
$669$	−0.160824	−	1.29685i	−0.00621780	−	0.0501391i
$670$	−0.348681	+	0.201311i	−0.0134707	+	0.00777733i
$671$	−38.1959	−	26.0232i	−1.47454	−	1.00461i
$672$	45.2763	+	13.7826i	1.74657	+	0.531674i
$673$	−4.44701	−	9.98814i	−0.171419	−	0.385014i	0.807322	−	0.590111i	$-0.200916\pi$
$673$	−4.44701	−	9.98814i	−0.171419	−	0.385014i	−0.978742	+	0.205096i	$0.934249\pi$
$674$	4.60308	+	1.49563i	0.177304	+	0.0576096i
$675$	15.5855	−	8.01247i	0.599885	−	0.308400i
$676$	16.0174	−	11.6373i	0.616052	−	0.447588i
$677$	2.48430	+	23.6366i	0.0954796	+	0.908427i	0.932479	+	0.361224i	$0.117641\pi$
$677$	2.48430	+	23.6366i	0.0954796	+	0.908427i	−0.837000	+	0.547204i	$0.815692\pi$
$678$	0.146292	+	7.83840i	0.00561829	+	0.301032i
$679$	−8.00372	−	37.6546i	−0.307155	−	1.44505i
$680$	−0.707459	−	0.0743570i	−0.0271298	−	0.00285146i
$681$	−19.6556	−	21.0271i	−0.753204	−	0.805758i
$682$	−1.37813	+	3.36577i	−0.0527713	+	0.128882i
$683$		−	24.2759i		−	0.928892i	−0.885602	−	0.464446i	$-0.846254\pi$
$683$		−	24.2759i		−	0.928892i	0.885602	−	0.464446i	$-0.153746\pi$
$684$	−8.12643	−	6.78549i	−0.310722	−	0.259450i
$685$	−1.83006	+	5.63234i	−0.0699229	+	0.215201i
$686$	−5.94802	+	27.9832i	−0.227096	+	1.06840i
$687$	−24.9621	+	28.7857i	−0.952362	+	1.09824i
$688$	0.311389	−	0.699390i	0.0118716	−	0.0266640i
$689$	6.60887	−	7.33990i	0.251778	−	0.279628i
$690$	0.575465	−	6.67039i	0.0219076	−	0.253938i
$691$	−29.8084	+	13.2716i	−1.13397	+	0.504874i	−0.885903	−	0.463870i	$-0.846460\pi$
$691$	−29.8084	+	13.2716i	−1.13397	+	0.504874i	−0.248062	+	0.968744i	$0.579794\pi$
$692$	10.8872			0.413868
$693$	40.8045	+	25.6249i	1.55004	+	0.973409i
$694$	5.41398			0.205512
$695$	−12.2465	+	5.45249i	−0.464536	+	0.206825i
$696$	−27.5048	+	12.8662i	−1.04257	+	0.487692i
$697$	−0.804010	+	0.892944i	−0.0304541	+	0.0338227i
$698$	4.26213	−	9.57291i	0.161324	−	0.362340i
$699$	−8.75041	−	25.3137i	−0.330971	−	0.957450i
$700$	5.46451	−	25.7085i	0.206539	−	0.971690i
$701$	−11.0658	+	34.0571i	−0.417951	+	1.28632i	0.491634	+	0.870802i	$0.336400\pi$
$701$	−11.0658	+	34.0571i	−0.417951	+	1.28632i	−0.909585	+	0.415518i	$0.863600\pi$
$702$	−0.151752	−	2.70782i	−0.00572753	−	0.102200i
$703$			0.759020i			0.0286270i
$704$	−0.0705152	−	0.288540i	−0.00265764	−	0.0108748i
$705$	−4.78558	+	15.7208i	−0.180236	+	0.592081i
$706$	−7.27770	−	0.764917i	−0.273900	−	0.0287880i
$707$	−5.43164	−	25.5539i	−0.204278	−	0.961052i
$708$	−12.8151	−	7.08329i	−0.481620	−	0.266206i
$709$	−0.384443	−	3.65773i	−0.0144381	−	0.137369i	0.984928	−	0.172963i	$-0.0553342\pi$
$709$	−0.384443	−	3.65773i	−0.0144381	−	0.137369i	−0.999366	+	0.0355944i	$0.988668\pi$
$710$	7.63240	−	5.54527i	0.286439	−	0.208110i
$711$	4.76444	−	4.62326i	0.178680	−	0.173386i
$712$	−29.0147	−	9.42746i	−1.08737	−	0.353309i
$713$	−3.45888	−	7.76876i	−0.129536	−	0.290943i
$714$	−0.293031	−	1.26230i	−0.0109664	−	0.0472403i
$715$	−3.32539	+	1.19283i	−0.124363	+	0.0446094i
$716$	−10.0387	+	5.79582i	−0.375162	+	0.216600i
$717$	−30.0049	−	12.6936i	−1.12055	−	0.474050i
$718$	7.51796	+	8.34954i	0.280568	+	0.311602i
$719$	−12.2052	+	3.96571i	−0.455177	+	0.147896i	−0.527627	−	0.849476i	$-0.676918\pi$
$719$	−12.2052	+	3.96571i	−0.455177	+	0.147896i	0.0724502	+	0.997372i	$0.476918\pi$
$720$	0.258233	+	6.91574i	0.00962377	+	0.257734i
$721$	46.8436	+	64.4747i	1.74455	+	2.40116i
$722$	8.67685	+	1.84432i	0.322919	+	0.0686385i
$723$	11.4254	+	24.4248i	0.424915	+	0.908367i
$724$	−0.0797039	+	0.758332i	−0.00296217	+	0.0281832i
$725$	13.1037	+	22.6963i	0.486659	+	0.842918i
$726$	−0.304390	+	11.9055i	−0.0112970	+	0.441856i
$727$	20.9562	−	36.2973i	0.777224	−	1.34619i	−0.156312	−	0.987708i	$-0.549961\pi$
$727$	20.9562	−	36.2973i	0.777224	−	1.34619i	0.933536	−	0.358484i	$-0.116706\pi$
$728$	−7.38033	−	5.36212i	−0.273533	−	0.198733i
$729$	−23.4799	−	13.3302i	−0.869627	−	0.493710i
$730$	−0.997974	−	3.07145i	−0.0369367	−	0.113679i
$731$	−0.104067	+	0.0109379i	−0.00384907	+	0.000404553i
$732$	36.7111	−	12.6903i	1.35688	−	0.469046i
$733$	19.3286	+	17.4036i	0.713918	+	0.642815i	0.943843	−	0.330393i	$-0.107181\pi$
$733$	19.3286	+	17.4036i	0.713918	+	0.642815i	−0.229925	+	0.973208i	$0.573848\pi$
$734$	−16.7947	+	3.56982i	−0.619903	+	0.131764i
$735$	−36.0734	+	4.47350i	−1.33059	+	0.165007i
$736$	−23.6875	−	13.6760i	−0.873131	−	0.504102i
$737$	−0.298468	+	1.64777i	−0.0109942	+	0.0606966i
$738$	−7.57022	−	5.07961i	−0.278664	−	0.186983i
$739$	−17.3756	+	23.9154i	−0.639171	+	0.879744i	−0.998571	−	0.0534398i	$-0.982981\pi$
$739$	−17.3756	+	23.9154i	−0.639171	+	0.879744i	0.359400	+	0.933184i	$0.382981\pi$
$740$	0.528067	−	0.475473i	0.0194121	−	0.0174787i
$741$	1.63670	+	2.71649i	0.0601257	+	0.0997927i
$742$	32.7102	+	14.5635i	1.20083	+	0.534644i
$743$	13.6345	+	6.07047i	0.500201	+	0.222704i	0.641298	−	0.767292i	$-0.278396\pi$
$743$	13.6345	+	6.07047i	0.500201	+	0.222704i	−0.141097	+	0.989996i	$0.545063\pi$
$744$	−3.53782	−	5.87185i	−0.129703	−	0.215272i
$745$	14.4335	−	12.9960i	0.528803	−	0.476136i
$746$	−6.23552	+	8.58246i	−0.228299	+	0.314226i
$747$	11.1155	−	5.45466i	0.406694	−	0.199575i
$748$	−0.953203	+	0.911955i	−0.0348525	+	0.0333444i
$749$	−9.56888	−	5.52460i	−0.349639	−	0.201864i
$750$	−11.4761	+	1.42316i	−0.419046	+	0.0519663i
$751$	17.7242	−	3.76740i	0.646766	−	0.137474i	0.127162	−	0.991882i	$-0.459413\pi$
$751$	17.7242	−	3.76740i	0.646766	−	0.137474i	0.519603	+	0.854408i	$0.326080\pi$
$752$	9.99432	+	8.99893i	0.364455	+	0.328157i
$753$	−23.1758	+	8.01140i	−0.844574	+	0.291952i
$754$	4.03361	−	0.423949i	0.146895	−	0.0154393i
$755$	−3.01231	−	9.27095i	−0.109629	−	0.337404i
$756$	−37.7516	+	14.6487i	−1.37301	+	0.532768i
$757$	5.28836	+	3.84222i	0.192209	+	0.139648i	0.679728	−	0.733465i	$-0.262098\pi$
$757$	5.28836	+	3.84222i	0.192209	+	0.139648i	−0.487519	+	0.873112i	$0.662098\pi$
$758$	−4.80486	+	8.32227i	−0.174520	+	0.302278i
$759$	−19.6224	−	19.7583i	−0.712249	−	0.717181i
$760$	3.15568	+	5.46580i	0.114469	+	0.198265i
$761$	−3.40766	+	32.4217i	−0.123528	+	1.17529i	0.740576	+	0.671972i	$0.234553\pi$
$761$	−3.40766	+	32.4217i	−0.123528	+	1.17529i	−0.864104	+	0.503314i	$0.832114\pi$
$762$	1.32116	+	2.82433i	0.0478607	+	0.102315i
$763$	−42.1547	−	8.96026i	−1.52610	−	0.324383i
$764$	−0.0384017	−	0.0528554i	−0.00138932	−	0.00191224i
$765$	0.800967	−	0.503194i	0.0289590	−	0.0181930i
$766$	−4.92851	+	1.60137i	−0.178074	+	0.0578598i
$767$	2.93503	+	3.25968i	0.105978	+	0.117700i
$768$	−11.0226	−	4.66311i	−0.397744	−	0.168266i
$769$	34.9046	−	20.1522i	1.25869	−	0.726707i	0.285873	−	0.958268i	$-0.407716\pi$
$769$	34.9046	−	20.1522i	1.25869	−	0.726707i	0.972821	+	0.231560i	$0.0743831\pi$
$770$	−7.83797	−	10.1290i	−0.282461	−	0.365025i
$771$	−5.82989	−	25.1136i	−0.209958	−	0.904443i
$772$	7.35526	+	16.5202i	0.264722	+	0.594575i
$773$	9.02009	+	2.93080i	0.324430	+	0.105414i	0.466704	−	0.884414i	$-0.345441\pi$
$773$	9.02009	+	2.93080i	0.324430	+	0.105414i	−0.142274	+	0.989827i	$0.545441\pi$
$774$	−0.193928	−	0.769872i	−0.00697058	−	0.0276725i
$775$	−4.78661	+	3.47767i	−0.171940	+	0.124922i
$776$	1.87467	+	17.8363i	0.0672966	+	0.640285i
$777$	2.54090	+	1.40443i	0.0911542	+	0.0503838i
$778$	3.27298	+	15.3982i	0.117342	+	0.552051i
$779$	10.6023	+	1.11435i	0.379867	+	0.0399257i
$780$	0.864641	−	2.84038i	0.0309591	−	0.101702i
$781$	2.91945	−	39.1298i	0.104466	−	1.40018i
$782$			0.748915i			0.0267812i
$783$	18.2007	−	36.0431i	0.650438	−	1.28808i
$784$	−9.19272	+	28.2923i	−0.328311	+	1.01044i
$785$	−1.14848	+	5.40317i	−0.0409910	+	0.192847i
$786$	0.199273	+	0.576469i	0.00710784	+	0.0205620i
$787$	−16.7705	+	37.6671i	−0.597802	+	1.34269i	0.320666	+	0.947192i	$0.396093\pi$
$787$	−16.7705	+	37.6671i	−0.597802	+	1.34269i	−0.918469	+	0.395494i	$0.870574\pi$
$788$	−22.4139	+	24.8931i	−0.798461	+	0.886781i
$789$	37.4983	−	17.5409i	1.33497	−	0.624473i
$790$	−1.61209	+	0.717748i	−0.0573555	+	0.0255363i
$791$	−35.0659			−1.24680
$792$	−17.6581	−	13.8599i	−0.627453	−	0.492490i
$793$	−11.6359			−0.413202
$794$	14.9012	−	6.63445i	0.528824	−	0.235448i
$795$	−2.24648	+	26.0397i	−0.0796745	+	0.923532i
$796$	−15.5181	+	17.2345i	−0.550023	+	0.610862i
$797$	5.19405	−	11.6660i	0.183983	−	0.413232i	−0.797882	−	0.602813i	$-0.794046\pi$
$797$	5.19405	−	11.6660i	0.183983	−	0.413232i	0.981865	+	0.189581i	$0.0607131\pi$
$798$	−7.53240	+	8.68621i	−0.266644	+	0.307488i
$799$	0.382181	−	1.79802i	0.0135206	−	0.0636094i
$800$	−5.88056	+	18.0985i	−0.207909	+	0.639878i
$801$	38.0872	−	13.9669i	1.34575	−	0.493497i
$802$			2.64208i			0.0932950i
$803$	−12.4305	−	5.08974i	−0.438664	−	0.179613i
$804$	−0.961052	−	1.02811i	−0.0338937	−	0.0362586i
$805$	29.7823	+	3.13025i	1.04969	+	0.110327i
$806$	0.190373	+	0.895632i	0.00670559	+	0.0315473i
$807$	0.254406	+	13.6312i	0.00895551	+	0.479842i
$808$	1.27222	+	12.1044i	0.0447567	+	0.425831i
$809$	33.5935	−	24.4071i	1.18108	−	0.858107i	0.188790	−	0.982017i	$-0.439543\pi$
$809$	33.5935	−	24.4071i	1.18108	−	0.858107i	0.992293	+	0.123910i	$0.0395435\pi$
$810$	4.63965	+	5.47537i	0.163021	+	0.192385i
$811$	5.10222	+	1.65781i	0.179163	+	0.0582137i	0.397225	−	0.917721i	$-0.369973\pi$
$811$	5.10222	+	1.65781i	0.179163	+	0.0582137i	−0.218061	+	0.975935i	$0.569973\pi$
$812$	−24.6311	−	55.3224i	−0.864383	−	1.94144i
$813$	8.15148	+	2.48139i	0.285885	+	0.0870263i
$814$	0.0217024	+	0.717252i	0.000760668	+	0.0251397i
$815$	7.87269	−	4.54530i	0.275768	−	0.159215i
$816$	−0.0952704	−	0.768242i	−0.00333513	−	0.0268938i
$817$	0.621222	+	0.689936i	0.0217338	+	0.0241378i
$818$	15.0377	−	4.88605i	0.525782	−	0.170837i
$819$	12.1222	−	0.452640i	0.423582	−	0.0158165i
$820$	−5.86634	−	8.07432i	−0.204861	−	0.281968i
$821$	−31.1963	−	6.63097i	−1.08876	−	0.231423i	−0.371642	−	0.928376i	$-0.621205\pi$
$821$	−31.1963	−	6.63097i	−1.08876	−	0.231423i	−0.717116	+	0.696954i	$0.754538\pi$
$822$	5.00750	+	0.432005i	0.174657	+	0.0150679i
$823$	2.73014	−	25.9756i	0.0951667	−	0.905451i	−0.837918	−	0.545795i	$-0.816228\pi$
$823$	2.73014	−	25.9756i	0.0951667	−	0.905451i	0.933085	−	0.359655i	$-0.117106\pi$
$824$	−18.5643	−	32.1543i	−0.646718	−	1.12015i
$825$	−10.6078	+	16.2119i	−0.369318	+	0.564427i
$826$	−7.95077	+	13.7711i	−0.276643	+	0.479159i
$827$	31.8832	+	23.1645i	1.10869	+	0.805508i	0.982456	−	0.186493i	$-0.0597120\pi$
$827$	31.8832	+	23.1645i	1.10869	+	0.805508i	0.126231	+	0.992001i	$0.459712\pi$
$828$	23.1670	−	3.31300i	0.805108	−	0.115135i
$829$	−10.5153	−	32.3627i	−0.365211	−	1.12400i	−0.949849	−	0.312710i	$-0.898763\pi$
$829$	−10.5153	−	32.3627i	−0.365211	−	1.12400i	0.584638	−	0.811294i	$-0.301237\pi$
$830$	−3.27311	+	0.344018i	−0.113611	+	0.0119410i
$831$	−8.67360	+	44.9114i	−0.300884	+	1.55796i
$832$	−0.0555726	−	0.0500378i	−0.00192663	−	0.00173475i
$833$	3.97719	−	0.845378i	0.137802	−	0.0292906i
$834$	6.85786	+	9.07785i	0.237468	+	0.314340i
$835$	9.03509	+	5.21641i	0.312672	+	0.180521i
$836$	11.5168	+	2.08609i	0.398317	+	0.0721488i
$837$	8.52201	+	3.23591i	0.294564	+	0.111849i
$838$	−5.69149	+	7.83367i	−0.196609	+	0.270610i
$839$	−42.3611	+	38.1421i	−1.46247	+	1.31681i	−0.611917	+	0.790922i	$0.709601\pi$
$839$	−42.3611	+	38.1421i	−1.46247	+	1.31681i	−0.850552	+	0.525890i	$0.823732\pi$
$840$	24.1363	−	0.450467i	0.832783	−	0.0155426i
$841$	28.6707	+	12.7650i	0.988646	+	0.440174i
$842$	16.5776	+	7.38082i	0.571301	+	0.254360i
$843$	13.3170	−	24.0932i	0.458663	−	0.829812i
$844$	−21.7380	+	19.5729i	−0.748251	+	0.673728i
$845$	9.22511	−	12.6973i	0.317353	−	0.436800i
$846$	13.9149	+	0.939250i	0.478405	+	0.0322921i
$847$	−53.2167	−	2.35493i	−1.82855	−	0.0809163i
$848$	18.5241	+	10.6949i	0.636120	+	0.367264i
$849$	7.43036	−	17.5638i	0.255009	−	0.602788i
$850$	0.509666	−	0.108333i	0.0174814	−	0.00371578i
$851$	−1.24688	−	1.12270i	−0.0427425	−	0.0384855i
$852$	24.9139	+	21.6046i	0.853538	+	0.740161i
$853$	−32.1650	+	3.38067i	−1.10131	+	0.115752i	−0.637697	−	0.770287i	$-0.720113\pi$
$853$	−32.1650	+	3.38067i	−1.10131	+	0.115752i	−0.463610	+	0.886039i	$0.653446\pi$
$854$	−13.0352	−	40.1182i	−0.446056	−	1.37282i
$855$	−7.78889	−	3.12505i	−0.266374	−	0.106874i
$856$	4.16452	+	3.02570i	0.142340	+	0.103416i
$857$	16.8286	−	29.1480i	0.574855	−	0.995678i	−0.421202	−	0.906967i	$-0.638392\pi$
$857$	16.8286	−	29.1480i	0.574855	−	0.995678i	0.996057	−	0.0887115i	$-0.0282749\pi$
$858$	1.62431	+	2.52020i	0.0554529	+	0.0860384i
$859$	19.0213	+	32.9458i	0.648998	+	1.12410i	0.983363	+	0.181653i	$0.0581449\pi$
$859$	19.0213	+	32.9458i	0.648998	+	1.12410i	−0.334365	+	0.942444i	$0.608522\pi$
$860$	0.0908515	−	0.864394i	0.00309801	−	0.0294756i
$861$	23.3481	−	33.4304i	0.795701	−	1.13931i
$862$	−2.93480	−	0.623810i	−0.0999595	−	0.0212471i
$863$	−9.20216	−	12.6657i	−0.313245	−	0.431145i	0.623145	−	0.782107i	$-0.285855\pi$
$863$	−9.20216	−	12.6657i	−0.313245	−	0.431145i	−0.936390	+	0.350962i	$0.885855\pi$
$864$	28.2927	−	7.69100i	0.962537	−	0.261653i
$865$	8.20807	−	2.66696i	0.279083	−	0.0906795i
$866$	−11.3017	−	12.5518i	−0.384046	−	0.426527i
$867$	23.4099	−	17.6850i	0.795041	−	0.600613i
$868$	11.8399	−	6.83576i	0.401872	−	0.232021i
$869$	−2.05589	+	7.04571i	−0.0697413	+	0.239009i
$870$	−7.84054	+	7.32915i	−0.265819	+	0.248481i
$871$	0.171477	+	0.385143i	0.00581027	+	0.0130501i
$872$	19.0952	+	6.20441i	0.646646	+	0.210108i
$873$	−16.6077	−	17.1148i	−0.562085	−	0.579249i
$874$	5.37559	−	3.90559i	0.181832	−	0.132109i
$875$	−5.40659	−	51.4403i	−0.182776	−	1.73900i
$876$	9.66919	−	5.82574i	0.326692	−	0.196834i
$877$	−3.06487	−	14.4191i	−0.103493	−	0.486898i	−0.999114	−	0.0420800i	$-0.986602\pi$
$877$	−3.06487	−	14.4191i	−0.103493	−	0.486898i	0.895621	−	0.444818i	$-0.146732\pi$
$878$	−19.8259	−	2.08379i	−0.669092	−	0.0703244i
$879$	−23.9045	+	5.54921i	−0.806278	+	0.187170i
$880$	−4.02412	−	6.50720i	−0.135653	−	0.219358i
$881$		−	29.1468i		−	0.981981i	−0.871165	−	0.490990i	$-0.836635\pi$
$881$		−	29.1468i		−	0.981981i	0.871165	−	0.490990i	$-0.163365\pi$
$882$	10.6212	+	28.9636i	0.357634	+	0.975255i
$883$	0.109578	−	0.337245i	0.00368758	−	0.0113492i	−0.949196	−	0.314686i	$-0.898101\pi$
$883$	0.109578	−	0.337245i	0.00368758	−	0.0113492i	0.952883	+	0.303337i	$0.0981008\pi$
$884$	−0.0690510	+	0.324859i	−0.00232244	+	0.0109262i
$885$	−11.3967	−	2.20101i	−0.383096	−	0.0739862i
$886$	2.84454	−	6.38895i	0.0955644	−	0.214641i
$887$	−1.72548	+	1.91634i	−0.0579361	+	0.0643445i	−0.771416	−	0.636331i	$-0.780451\pi$
$887$	−1.72548	+	1.91634i	−0.0579361	+	0.0643445i	0.713480	+	0.700676i	$0.247118\pi$
$888$	−1.10888	−	0.774453i	−0.0372117	−	0.0259890i
$889$	−12.7408	+	5.67258i	−0.427313	+	0.190252i
$890$	−10.7831			−0.361449
$891$	29.8496	−	0.00518836i	1.00000	−	0.000173816i
$892$	−1.21415			−0.0406528
$893$	−14.8990	+	6.63345i	−0.498575	+	0.221980i
$894$	−13.5138	−	9.43818i	−0.451970	−	0.315660i
$895$	−6.14859	+	6.82870i	−0.205525	+	0.228258i
$896$	22.3381	−	50.1722i	0.746263	−	1.67613i
$897$	−6.88342	−	1.32937i	−0.229831	−	0.0443865i
$898$	3.30255	−	15.5373i	0.110208	−	0.518486i
$899$	−4.21260	+	12.9651i	−0.140498	+	0.432409i
$900$	−5.60579	−	15.2868i	−0.186860	−	0.509559i
$901$		−	2.92359i		−	0.0973989i
$902$	10.0507	+	0.749878i	0.334653	+	0.0249682i
$903$	3.45909	−	0.802997i	0.115111	−	0.0267221i
$904$	16.2471	+	1.70764i	0.540371	+	0.0567953i
$905$	0.125673	+	0.591247i	0.00417753	+	0.0196537i
$906$	−7.08625	+	4.26951i	−0.235425	+	0.141845i
$907$	−1.96009	−	18.6490i	−0.0650838	−	0.619231i	−0.977641	−	0.210282i	$-0.932562\pi$
$907$	−1.96009	−	18.6490i	−0.0650838	−	0.619231i	0.912557	−	0.408950i	$-0.134105\pi$
$908$	−21.6355	+	15.7191i	−0.718000	+	0.521657i
$909$	−11.2706	−	11.6148i	−0.373823	−	0.385238i
$910$	−3.06658	−	0.996391i	−0.101656	−	0.0330301i
$911$	4.98229	+	11.1904i	0.165071	+	0.370755i	0.977075	−	0.212897i	$-0.0682899\pi$
$911$	4.98229	+	11.1904i	0.165071	+	0.370755i	−0.812004	+	0.583652i	$0.801623\pi$
$912$	−5.01748	+	4.69022i	−0.166145	+	0.155309i
$913$	−7.70729	+	11.3125i	−0.255074	+	0.374389i
$914$	−8.08139	+	4.66579i	−0.267309	+	0.154331i
$915$	24.5686	−	18.5604i	0.812213	−	0.613586i
$916$	23.6876	+	26.3078i	0.782661	+	0.869233i
$917$	−2.59463	+	0.843046i	−0.0856822	+	0.0278398i
$918$	−0.569709	−	0.565595i	−0.0188032	−	0.0186674i
$919$	−14.4656	−	19.9102i	−0.477175	−	0.656775i	0.500784	−	0.865572i	$-0.333045\pi$
$919$	−14.4656	−	19.9102i	−0.477175	−	0.656775i	−0.977959	+	0.208797i	$0.933045\pi$
$920$	−13.6466	−	2.90068i	−0.449916	−	0.0956325i
$921$	11.4437	−	16.3853i	0.377082	−	0.539916i
$922$	−0.850476	+	8.09174i	−0.0280089	+	0.266487i
$923$	−4.93933	−	8.55517i	−0.162580	−	0.281597i
$924$	28.2932	−	34.6938i	0.930779	−	1.14134i
$925$	−0.583673	+	1.01095i	−0.0191910	+	0.0332399i
$926$	−2.03931	−	1.48165i	−0.0670160	−	0.0486899i
$927$	45.8206	+	18.3841i	1.50495	+	0.603813i
$928$	13.5493	+	41.7004i	0.444777	+	1.36888i
$929$	19.2123	−	2.01929i	0.630335	−	0.0662509i	0.216027	−	0.976387i	$-0.430690\pi$
$929$	19.2123	−	2.01929i	0.630335	−	0.0662509i	0.414308	+	0.910137i	$0.364023\pi$
$930$	−1.83058	−	1.58742i	−0.0600272	−	0.0520537i
$931$	−26.8090	−	24.1390i	−0.878631	−	0.791123i
$932$	−24.3410	+	5.17385i	−0.797317	+	0.169475i
$933$	18.4653	−	43.6480i	0.604527	−	1.42897i
$934$	22.7934	+	13.1598i	0.745824	+	0.430602i
$935$	−0.495244	+	0.921043i	−0.0161962	+	0.0301213i
$936$	−5.63861	−	0.380603i	−0.184304	−	0.0124404i
$937$	29.8196	−	41.0432i	0.974165	−	1.34082i	0.0342499	−	0.999413i	$-0.489096\pi$
$937$	29.8196	−	41.0432i	0.974165	−	1.34082i	0.939915	−	0.341409i	$-0.110904\pi$
$938$	−1.13580	+	1.02268i	−0.0370853	+	0.0333917i
$939$	−6.96251	+	12.5966i	−0.227213	+	0.411073i
$940$	13.9482	+	6.21014i	0.454940	+	0.202552i
$941$	−27.6089	−	12.2923i	−0.900024	−	0.400717i	−0.0960469	−	0.995377i	$-0.530620\pi$
$941$	−27.6089	−	12.2923i	−0.900024	−	0.400717i	−0.803977	+	0.594660i	$0.797287\pi$
$942$	4.68724	−	0.0874801i	0.152719	−	0.00285025i
$943$	−17.5129	+	15.7687i	−0.570298	+	0.513499i
$944$	−5.58355	+	7.68510i	−0.181729	+	0.250129i
$945$	−24.8734	+	20.2918i	−0.809131	+	0.660091i
$946$	0.606763	+	0.634207i	0.0197276	+	0.0206199i
$947$	−9.86510	−	5.69562i	−0.320573	−	0.185083i	0.331075	−	0.943604i	$-0.392589\pi$
$947$	−9.86510	−	5.69562i	−0.320573	−	0.185083i	−0.651648	+	0.758522i	$0.725922\pi$
$948$	−3.71809	−	4.92170i	−0.120758	−	0.159849i
$949$	−3.30777	+	0.703088i	−0.107375	+	0.0228232i
$950$	−3.43550	−	3.09334i	−0.111462	−	0.100361i
$951$	4.99028	−	25.8394i	0.161821	−	0.837899i
$952$	−2.68555	+	0.282262i	−0.0870390	+	0.00914817i
$953$	14.8543	+	45.7168i	0.481178	+	1.48091i	0.837441	+	0.546527i	$0.184051\pi$
$953$	14.8543	+	45.7168i	0.481178	+	1.48091i	−0.356263	+	0.934386i	$0.615949\pi$
$954$	21.9583	−	3.14015i	0.710925	−	0.101666i
$955$	−0.0418995	−	0.0304418i	−0.00135584	−	0.000985073i
$956$	−15.1350	+	26.2146i	−0.489501	+	0.847840i
$957$	2.18243	+	44.5860i	0.0705479	+	1.44126i
$958$	−2.32392	−	4.02515i	−0.0750826	−	0.130047i
$959$	−2.34989	+	22.3577i	−0.0758820	+	0.721969i
$960$	0.197154	+	0.0170088i	0.00636312	+	0.000548957i
$961$	27.3122	+	5.80539i	0.881039	+	0.187271i
$962$	0.106188	+	0.146155i	0.00342362	+	0.00471221i
$963$	−6.84020	+	0.255412i	−0.220422	+	0.00823055i
$964$	23.8273	−	7.74196i	0.767426	−	0.249352i
$965$	9.59214	+	10.6532i	0.308782	+	0.342937i
$966$	−3.12780	−	25.2220i	−0.100635	−	0.811503i
$967$	−11.4552	+	6.61368i	−0.368375	+	0.212681i	−0.672748	−	0.739871i	$-0.734886\pi$
$967$	−11.4552	+	6.61368i	−0.368375	+	0.212681i	0.304373	+	0.952553i	$0.401553\pi$
$968$	24.5423	+	3.68266i	0.788818	+	0.118365i
$969$	0.898079	+	0.273385i	0.0288505	+	0.00878238i
$970$	2.57830	+	5.79095i	0.0827841	+	0.185936i
$971$	−25.6742	−	8.34206i	−0.823925	−	0.267710i	−0.133441	−	0.991057i	$-0.542603\pi$
$971$	−25.6742	−	8.34206i	−0.823925	−	0.267710i	−0.690484	+	0.723347i	$0.742603\pi$
$972$	−14.9759	+	20.1254i	−0.480352	+	0.645524i
$973$	−41.1690	+	29.9110i	−1.31982	+	0.958903i
$974$	0.847242	+	8.06097i	0.0271474	+	0.258290i
$975$	0.0910165	+	4.87673i	0.00291486	+	0.156180i
$976$	−5.23923	−	24.6486i	−0.167704	−	0.788984i
$977$	39.2909	+	4.12964i	1.25703	+	0.132119i	0.709522	−	0.704684i	$-0.248911\pi$
$977$	39.2909	+	4.12964i	1.25703	+	0.132119i	0.547505	+	0.836802i	$0.315578\pi$
$978$	−5.26849	−	5.63610i	−0.168468	−	0.180223i
$979$	−28.9880	+	34.2216i	−0.926462	+	1.09373i
$980$			33.7730i			1.07884i
$981$	−25.0660	+	9.19192i	−0.800296	+	0.293475i
$982$	6.22044	−	19.1445i	0.198502	−	0.610927i
$983$	6.94207	−	32.6599i	0.221418	−	1.04169i	−0.717237	−	0.696829i	$-0.754594\pi$
$983$	6.94207	−	32.6599i	0.221418	−	1.04169i	0.938655	−	0.344859i	$-0.112073\pi$
$984$	−12.4459	+	14.3523i	−0.396760	+	0.457536i
$985$	−10.8004	+	24.2581i	−0.344129	+	0.772926i
$986$	0.803323	−	0.892181i	0.0255830	−	0.0284128i
$987$	−5.36177	+	62.1499i	−0.170667	+	1.97825i
$988$	2.69189	−	1.19851i	0.0856404	−	0.0381295i
$989$	−2.05226			−0.0652582
$990$	−7.44962	−	2.73037i	−0.236765	−	0.0867769i
$991$	0.780068			0.0247797			0.0123898	−	0.999923i	$-0.496056\pi$
$991$	0.780068			0.0247797			0.0123898	+	0.999923i	$0.496056\pi$
$992$	−9.04296	+	4.02619i	−0.287114	+	0.127832i
$993$	22.6146	−	10.5786i	0.717653	−	0.335703i
$994$	23.9632	−	26.6139i	0.760068	−	0.844141i
$995$	−7.47755	+	16.7949i	−0.237054	+	0.532433i
$996$	−3.75848	−	10.8727i	−0.119092	−	0.344516i
$997$	9.12147	−	42.9131i	0.288880	−	1.35907i	−0.559124	−	0.829084i	$-0.688863\pi$
$997$	9.12147	−	42.9131i	0.288880	−	1.35907i	0.848004	−	0.529989i	$-0.177804\pi$
$998$	4.99660	−	15.3779i	0.158164	−	0.486780i
$999$	1.79572	−	0.100636i	0.0568139	−	0.00318399i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.5	✓	80
3.2	odd	2		297.2.t.a.62.6		80
9.2	odd	6		891.2.k.a.161.8		80
9.4	even	3		297.2.t.a.260.6		80
9.5	odd	6	inner	99.2.p.a.95.5	yes	80
9.7	even	3		891.2.k.a.161.13		80
11.8	odd	10	inner	99.2.p.a.74.5	yes	80
33.8	even	10		297.2.t.a.8.6		80
99.41	even	30	inner	99.2.p.a.41.5	yes	80
99.52	odd	30		891.2.k.a.404.8		80
99.74	even	30		891.2.k.a.404.13		80
99.85	odd	30		297.2.t.a.206.6		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.5	✓	80	1.1	even	1	trivial
99.2.p.a.41.5	yes	80	99.41	even	30	inner
99.2.p.a.74.5	yes	80	11.8	odd	10	inner
99.2.p.a.95.5	yes	80	9.5	odd	6	inner
297.2.t.a.8.6		80	33.8	even	10
297.2.t.a.62.6		80	3.2	odd	2
297.2.t.a.206.6		80	99.85	odd	30
297.2.t.a.260.6		80	9.4	even	3
891.2.k.a.161.8		80	9.2	odd	6
891.2.k.a.161.13		80	9.7	even	3
891.2.k.a.404.8		80	99.52	odd	30
891.2.k.a.404.13		80	99.74	even	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+(-0.571041 + 0.254244i) q^{2} +(-1.42001 - 0.991749i) q^{3} +(-1.07681 + 1.19592i) q^{4} +(-0.518875 + 1.16541i) q^{5} +(1.06303 + 0.205300i) q^{6} +(-1.00684 + 4.73680i) q^{7} +(0.697171 - 2.14567i) q^{8} +(1.03287 + 2.81659i) q^{9} -0.797419i q^{10} +(-2.53072 - 2.14370i) q^{11} +(2.71514 - 0.630296i) q^{12} +(-0.830415 - 0.0872801i) q^{13} +(-0.629356 - 2.96089i) q^{14} +(1.89260 - 1.14031i) q^{15} +(-0.189019 - 1.79839i) q^{16} +(-0.199958 + 0.145278i) q^{17} +(-1.30591 - 1.34579i) q^{18} +(2.08556 + 0.677640i) q^{19} +(-0.835011 - 1.87546i) q^{20} +(6.12743 - 5.72778i) q^{21} +(1.99017 + 0.580718i) q^{22} +(-4.19803 + 2.42373i) q^{23} +(-3.11796 + 2.35546i) q^{24} +(2.25670 + 2.50632i) q^{25} +(0.496392 - 0.161287i) q^{26} +(1.32667 - 5.02394i) q^{27} +(-4.58066 - 6.30474i) q^{28} +(7.60091 + 1.61562i) q^{29} +(-0.790839 + 1.13234i) q^{30} +(-0.183376 + 1.74470i) q^{31} +(2.82126 + 4.88657i) q^{32} +(1.46765 + 5.55392i) q^{33} +(0.0772482 - 0.133798i) q^{34} +(-4.99790 - 3.63118i) q^{35} +(-4.48063 - 1.79771i) q^{36} +(0.106959 + 0.329187i) q^{37} +(-1.36323 + 0.143281i) q^{38} +(1.09264 + 0.947502i) q^{39} +(2.13885 + 1.92583i) q^{40} +(4.75526 - 1.01076i) q^{41} +(-2.04276 + 4.82866i) q^{42} +(0.366648 + 0.211684i) q^{43} +(5.28881 - 0.718188i) q^{44} +(-3.81842 - 0.257741i) q^{45} +(1.78103 - 2.45137i) q^{46} +(-5.52692 + 4.97646i) q^{47} +(-1.51515 + 2.74120i) q^{48} +(-15.0287 - 6.69121i) q^{49} +(-1.92588 - 0.857459i) q^{50} +(0.428022 - 0.00798836i) q^{51} +(0.998582 - 0.899127i) q^{52} +(-6.95271 + 9.56959i) q^{53} +(0.519725 + 3.20617i) q^{54} +(3.81142 - 1.83703i) q^{55} +(9.46167 + 5.46270i) q^{56} +(-2.28947 - 3.03061i) q^{57} +(-4.75119 + 1.00990i) q^{58} +(-3.90386 - 3.51506i) q^{59} +(-0.674265 + 3.49130i) q^{60} +(13.8590 - 1.45664i) q^{61} +(-0.338865 - 1.04292i) q^{62} +(-14.3815 + 2.05664i) q^{63} +(0.0724543 + 0.0526411i) q^{64} +(0.532599 - 0.922488i) q^{65} +(-2.25014 - 2.79838i) q^{66} +(-0.252454 - 0.437263i) q^{67} +(0.0415762 - 0.395571i) q^{68} +(8.36498 + 0.721660i) q^{69} +(3.77721 + 0.802871i) q^{70} +(6.95402 + 9.57138i) q^{71} +(6.76356 - 0.252551i) q^{72} +(3.85174 - 1.25150i) q^{73} +(-0.144772 - 0.160786i) q^{74} +(-0.718902 - 5.79708i) q^{75} +(-3.05616 + 1.76448i) q^{76} +(12.7023 - 9.82917i) q^{77} +(-0.864839 - 0.263266i) q^{78} +(-0.900088 - 2.02163i) q^{79} +(2.19395 + 0.712856i) q^{80} +(-6.86637 + 5.81833i) q^{81} +(-2.45847 + 1.78618i) q^{82} +(-0.431414 - 4.10463i) q^{83} +(0.251876 + 13.4957i) q^{84} +(-0.0655555 - 0.308414i) q^{85} +(-0.263191 - 0.0276625i) q^{86} +(-9.19109 - 9.83239i) q^{87} +(-6.36402 + 3.93558i) q^{88} -13.5225i q^{89} +(2.24600 - 0.823629i) q^{90} +(1.24952 - 3.84563i) q^{91} +(1.62190 - 7.63042i) q^{92} +(1.99070 - 2.29564i) q^{93} +(1.89086 - 4.24695i) q^{94} +(-1.87187 + 2.07893i) q^{95} +(0.840023 - 9.73697i) q^{96} +(-7.26211 + 3.23330i) q^{97} +10.2832 q^{98} +(3.42401 - 9.34217i) 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

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