LMFDB - Embedded newform 186.2.m.b.19.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [186,2,Mod(7,186)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("186.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(186, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([0, 28])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 186 = 2 \cdot 3 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	186.m (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [8,2,-1,-2,7] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.48521747760$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\Q(\zeta_{15})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			19.1
Root			$-0.104528 + 0.994522i$ of defining polynomial
Character	$\chi$	$=$	186.19
Dual form			186.2.m.b.49.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.913545 - 0.406737i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.10453 - 1.91310i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(2.06460 - 2.29297i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.669131 + 0.743145i) q^{9} +(2.01807 - 0.898504i) q^{10} +(1.66078 + 0.353010i) q^{11} +(0.104528 - 0.994522i) q^{12} +(0.539926 + 5.13706i) q^{13} +(3.01807 - 0.641511i) q^{14} +(-1.78716 + 1.29845i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-5.38335 + 1.14427i) q^{17} +(0.104528 + 0.994522i) q^{18} +(0.370796 - 3.52789i) q^{19} +(2.16078 + 0.459289i) q^{20} +(-2.81874 + 1.25499i) q^{21} +(1.13611 + 1.26178i) q^{22} +(1.30067 - 4.00305i) q^{23} +(0.669131 - 0.743145i) q^{24} +(0.0600337 + 0.103982i) q^{25} +(-2.58268 + 4.47333i) q^{26} +(-0.309017 - 0.951057i) q^{27} +(2.81874 + 1.25499i) q^{28} +(-6.71422 - 4.87816i) q^{29} -2.20906 q^{30} +(-4.44183 + 3.35710i) q^{31} -1.00000 q^{32} +(-1.37362 - 0.997993i) q^{33} +(-5.02780 - 2.23852i) q^{34} +(-2.10627 - 6.48244i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(4.60075 + 7.96873i) q^{37} +(2.37362 - 2.63617i) q^{38} +(1.59618 - 4.91254i) q^{39} +(1.47815 + 1.64165i) q^{40} +(-6.43300 + 2.86416i) q^{41} +(-3.01807 - 0.641511i) q^{42} +(-0.335926 + 3.19612i) q^{43} +(0.177477 + 1.68859i) q^{44} +(2.16078 - 0.459289i) q^{45} +(3.40520 - 2.47402i) q^{46} +(-3.74724 + 2.72253i) q^{47} +(0.978148 - 0.207912i) q^{48} +(-0.263444 - 2.50650i) q^{49} +(-0.0125505 + 0.119410i) q^{50} +(5.38335 + 1.14427i) q^{51} +(-4.71878 + 2.10094i) q^{52} +(3.85995 + 4.28691i) q^{53} +(0.309017 - 0.951057i) q^{54} +(2.50973 - 2.78733i) q^{55} +(1.54275 + 2.67212i) q^{56} +(-1.77366 + 3.07207i) q^{57} +(-2.56460 - 7.89303i) q^{58} +(-6.43727 - 2.86606i) q^{59} +(-1.78716 - 1.29845i) q^{60} +7.99244 q^{61} +(-5.56677 + 0.105104i) q^{62} +3.08550 q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.4241 + 4.64109i) q^{65} +(-0.524676 - 1.61479i) q^{66} +(6.85459 - 11.8725i) q^{67} +(-2.75181 - 4.76627i) q^{68} +(-2.81641 + 3.12794i) q^{69} +(2.10627 - 6.48244i) q^{70} +(5.12349 + 5.69022i) q^{71} +(-0.913545 + 0.406737i) q^{72} +(-7.02876 - 1.49401i) q^{73} +(-0.961819 + 9.15109i) q^{74} +(-0.0125505 - 0.119410i) q^{75} +(3.46980 - 0.737529i) q^{76} +(4.23830 - 3.07931i) q^{77} +(4.17886 - 3.03612i) q^{78} +(-7.35867 + 1.56413i) q^{79} +(0.230909 + 2.19696i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(-6.88791 - 1.46407i) q^{82} +(1.39169 - 0.619622i) q^{83} +(-2.06460 - 2.29297i) q^{84} +(-3.75697 + 11.5628i) q^{85} +(-2.15040 + 2.38826i) q^{86} +(4.14961 + 7.18734i) q^{87} +(-0.848943 + 1.47041i) q^{88} +(-1.52360 - 4.68915i) q^{89} +(2.01807 + 0.898504i) q^{90} +(12.8939 + 9.36794i) q^{91} +4.20906 q^{92} +(5.42327 - 1.26020i) q^{93} -4.63184 q^{94} +(-6.33964 - 4.60602i) q^{95} +(0.913545 + 0.406737i) q^{96} +(0.0962447 + 0.296211i) q^{97} +(1.26015 - 2.18265i) q^{98} +(0.848943 + 1.47041i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 7 q^{5} - 4 q^{6} + 14 q^{7} + 2 q^{8} + q^{9} + 8 q^{10} - 7 q^{11} - q^{12} + 5 q^{13} + 16 q^{14} - q^{15} - 2 q^{16} - 12 q^{17} - q^{18} + 8 q^{19} - 3 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) $ 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 7 * q^5 - 4 * q^6 + 14 * q^7 + 2 * q^8 + q^9 + 8 * q^10 - 7 * q^11 - q^12 + 5 * q^13 + 16 * q^14 - q^15 - 2 * q^16 - 12 * q^17 - q^18 + 8 * q^19 - 3 * q^20 + 6 * q^21 - 8 * q^22 - 10 * q^23 + q^24 - q^25 - 10 * q^26 + 2 * q^27 - 6 * q^28 - 27 * q^29 - 14 * q^30 + 4 * q^31 - 8 * q^32 - 4 * q^33 - 8 * q^34 - 26 * q^35 - 4 * q^36 + 18 * q^37 + 12 * q^38 - 5 * q^39 + 3 * q^40 + 3 * q^41 - 16 * q^42 - 5 * q^43 + 13 * q^44 - 3 * q^45 + 5 * q^46 - 16 * q^47 - q^48 - 21 * q^49 + 36 * q^50 + 12 * q^51 - 10 * q^52 - 16 * q^53 - 2 * q^54 - 4 * q^55 + q^56 - 8 * q^57 - 18 * q^58 - 13 * q^59 - q^60 + 30 * q^61 + 16 * q^62 + 2 * q^63 - 2 * q^64 + 35 * q^65 - q^66 + 27 * q^67 - 7 * q^68 - 5 * q^69 + 26 * q^70 - 8 * q^71 - q^72 - 53 * q^73 - 18 * q^74 + 36 * q^75 + 3 * q^76 + 26 * q^77 + 5 * q^78 - 31 * q^79 + 7 * q^80 + q^81 - 23 * q^82 - 4 * q^83 - 14 * q^84 + 8 * q^85 + 25 * q^86 + 9 * q^87 - 3 * q^88 - 32 * q^89 + 8 * q^90 + 30 * q^91 + 30 * q^92 + 13 * q^93 - 4 * q^94 - 2 * q^95 + q^96 + 51 * q^97 + 11 * q^98 + 3 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/186\mathbb{Z}\right)^\times$.

$n$	$125$	$127$
$\chi(n)$	$1$	$e\left(\frac{2}{15}\right)$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.913545	−	0.406737i	−0.527436	−	0.234830i
$3$	−0.913545	−	0.406737i	−0.527436	−	0.234830i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.10453	−	1.91310i	0.493960	−	0.855564i	−0.506016	−	0.862524i	$-0.668882\pi$
$5$	1.10453	−	1.91310i	0.493960	−	0.855564i	0.999976	+	0.00696024i	$0.00221553\pi$
$6$	−0.500000	−	0.866025i	−0.204124	−	0.353553i
$7$	2.06460	−	2.29297i	0.780346	−	0.866662i	−0.213556	−	0.976931i	$-0.568504\pi$
$7$	2.06460	−	2.29297i	0.780346	−	0.866662i	0.993902	+	0.110269i	$0.0351711\pi$
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	0.669131	+	0.743145i	0.223044	+	0.247715i
$10$	2.01807	−	0.898504i	0.638171	−	0.284132i
$11$	1.66078	+	0.353010i	0.500745	+	0.106437i	0.451358	−	0.892343i	$-0.350940\pi$
$11$	1.66078	+	0.353010i	0.500745	+	0.106437i	0.0493873	+	0.998780i	$0.484273\pi$
$12$	0.104528	−	0.994522i	0.0301748	−	0.287094i
$13$	0.539926	+	5.13706i	0.149749	+	1.42476i	0.768839	+	0.639443i	$0.220835\pi$
$13$	0.539926	+	5.13706i	0.149749	+	1.42476i	−0.619090	+	0.785320i	$0.712498\pi$
$14$	3.01807	−	0.641511i	0.806614	−	0.171451i
$15$	−1.78716	+	1.29845i	−0.461444	+	0.335259i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−5.38335	+	1.14427i	−1.30565	+	0.277525i	−0.807656	−	0.589654i	$-0.799264\pi$
$17$	−5.38335	+	1.14427i	−1.30565	+	0.277525i	−0.497997	+	0.867179i	$0.665931\pi$
$18$	0.104528	+	0.994522i	0.0246376	+	0.234411i
$19$	0.370796	−	3.52789i	0.0850664	−	0.809352i	−0.865933	−	0.500160i	$-0.833275\pi$
$19$	0.370796	−	3.52789i	0.0850664	−	0.809352i	0.950999	−	0.309193i	$-0.100059\pi$
$20$	2.16078	+	0.459289i	0.483166	+	0.102700i
$21$	−2.81874	+	1.25499i	−0.615100	+	0.273860i
$22$	1.13611	+	1.26178i	0.242219	+	0.269011i
$23$	1.30067	−	4.00305i	0.271208	−	0.834694i	−0.718989	−	0.695021i	$-0.755395\pi$
$23$	1.30067	−	4.00305i	0.271208	−	0.834694i	0.990198	−	0.139673i	$-0.0446050\pi$
$24$	0.669131	−	0.743145i	0.136586	−	0.151694i
$25$	0.0600337	+	0.103982i	0.0120067	+	0.0207963i
$26$	−2.58268	+	4.47333i	−0.506504	+	0.877291i
$27$	−0.309017	−	0.951057i	−0.0594703	−	0.183031i
$28$	2.81874	+	1.25499i	0.532693	+	0.237170i
$29$	−6.71422	−	4.87816i	−1.24680	−	0.905852i	−0.248767	−	0.968563i	$-0.580025\pi$
$29$	−6.71422	−	4.87816i	−1.24680	−	0.905852i	−0.998032	+	0.0627112i	$0.980025\pi$
$30$	−2.20906			−0.403317
$31$	−4.44183	+	3.35710i	−0.797777	+	0.602953i
$31$	−4.44183	+	3.35710i	−0.797777	+	0.602953i
$32$	−1.00000			−0.176777
$33$	−1.37362	−	0.997993i	−0.239116	−	0.173728i
$34$	−5.02780	−	2.23852i	−0.862261	−	0.383903i
$35$	−2.10627	−	6.48244i	−0.356025	−	1.09573i
$36$	−0.500000	+	0.866025i	−0.0833333	+	0.144338i
$37$	4.60075	+	7.96873i	0.756359	+	1.31005i	0.944696	+	0.327947i	$0.106357\pi$
$37$	4.60075	+	7.96873i	0.756359	+	1.31005i	−0.188337	+	0.982104i	$0.560310\pi$
$38$	2.37362	−	2.63617i	0.385052	−	0.427643i
$39$	1.59618	−	4.91254i	0.255594	−	0.786636i
$40$	1.47815	+	1.64165i	0.233716	+	0.259568i
$41$	−6.43300	+	2.86416i	−1.00467	+	0.447306i	−0.842059	−	0.539385i	$-0.818657\pi$
$41$	−6.43300	+	2.86416i	−1.00467	+	0.447306i	−0.162606	+	0.986691i	$0.551990\pi$
$42$	−3.01807	−	0.641511i	−0.465699	−	0.0989874i
$43$	−0.335926	+	3.19612i	−0.0512282	+	0.487404i	0.938587	+	0.345044i	$0.112136\pi$
$43$	−0.335926	+	3.19612i	−0.0512282	+	0.487404i	−0.989815	+	0.142360i	$0.954531\pi$
$44$	0.177477	+	1.68859i	0.0267557	+	0.254564i
$45$	2.16078	−	0.459289i	0.322111	−	0.0684667i
$46$	3.40520	−	2.47402i	0.502069	−	0.364775i
$47$	−3.74724	+	2.72253i	−0.546591	+	0.397122i	−0.826527	−	0.562897i	$-0.809687\pi$
$47$	−3.74724	+	2.72253i	−0.546591	+	0.397122i	0.279936	+	0.960019i	$0.409687\pi$
$48$	0.978148	−	0.207912i	0.141183	−	0.0300095i
$49$	−0.263444	−	2.50650i	−0.0376348	−	0.358072i
$50$	−0.0125505	+	0.119410i	−0.00177490	+	0.0168871i
$51$	5.38335	+	1.14427i	0.753819	+	0.160229i
$52$	−4.71878	+	2.10094i	−0.654378	+	0.291348i
$53$	3.85995	+	4.28691i	0.530205	+	0.588852i	0.947435	−	0.319949i	$-0.103666\pi$
$53$	3.85995	+	4.28691i	0.530205	+	0.588852i	−0.417230	+	0.908801i	$0.636999\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	2.50973	−	2.78733i	0.338412	−	0.375844i
$56$	1.54275	+	2.67212i	0.206159	+	0.357077i
$57$	−1.77366	+	3.07207i	−0.234927	+	0.406905i
$58$	−2.56460	−	7.89303i	−0.336749	−	1.03641i
$59$	−6.43727	−	2.86606i	−0.838061	−	0.373129i	−0.0576048	−	0.998339i	$-0.518346\pi$
$59$	−6.43727	−	2.86606i	−0.838061	−	0.373129i	−0.780456	+	0.625211i	$0.785013\pi$
$60$	−1.78716	−	1.29845i	−0.230722	−	0.167629i
$61$	7.99244			1.02333			0.511664	−	0.859186i	$-0.329029\pi$
$61$	7.99244			1.02333			0.511664	+	0.859186i	$0.329029\pi$
$62$	−5.56677	+	0.105104i	−0.706981	+	0.0133483i
$63$	3.08550			0.388736
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	10.4241	+	4.64109i	1.29295	+	0.575657i
$66$	−0.524676	−	1.61479i	−0.0645831	−	0.198766i
$67$	6.85459	−	11.8725i	0.837421	−	1.45046i	−0.0546221	−	0.998507i	$-0.517395\pi$
$67$	6.85459	−	11.8725i	0.837421	−	1.45046i	0.892044	−	0.451949i	$-0.149271\pi$
$68$	−2.75181	−	4.76627i	−0.333706	−	0.577995i
$69$	−2.81641	+	3.12794i	−0.339056	+	0.376560i
$70$	2.10627	−	6.48244i	0.251748	−	0.774800i
$71$	5.12349	+	5.69022i	0.608047	+	0.675305i	0.966032	−	0.258423i	$-0.0832028\pi$
$71$	5.12349	+	5.69022i	0.608047	+	0.675305i	−0.357985	+	0.933727i	$0.616536\pi$
$72$	−0.913545	+	0.406737i	−0.107662	+	0.0479344i
$73$	−7.02876	−	1.49401i	−0.822654	−	0.174860i	−0.222692	−	0.974889i	$-0.571484\pi$
$73$	−7.02876	−	1.49401i	−0.822654	−	0.174860i	−0.599962	+	0.800028i	$0.704818\pi$
$74$	−0.961819	+	9.15109i	−0.111809	+	1.06379i
$75$	−0.0125505	−	0.119410i	−0.00144920	−	0.0137883i
$76$	3.46980	−	0.737529i	0.398013	−	0.0846004i
$77$	4.23830	−	3.07931i	0.482999	−	0.350919i
$78$	4.17886	−	3.03612i	0.473162	−	0.343773i
$79$	−7.35867	+	1.56413i	−0.827915	+	0.175979i	−0.602333	−	0.798245i	$-0.705762\pi$
$79$	−7.35867	+	1.56413i	−0.827915	+	0.175979i	−0.225583	+	0.974224i	$0.572429\pi$
$80$	0.230909	+	2.19696i	0.0258164	+	0.245627i
$81$	−0.104528	+	0.994522i	−0.0116143	+	0.110502i
$82$	−6.88791	−	1.46407i	−0.760643	−	0.161680i
$83$	1.39169	−	0.619622i	0.152758	−	0.0680123i	−0.328933	−	0.944353i	$-0.606689\pi$
$83$	1.39169	−	0.619622i	0.152758	−	0.0680123i	0.481692	+	0.876341i	$0.340023\pi$
$84$	−2.06460	−	2.29297i	−0.225267	−	0.250184i
$85$	−3.75697	+	11.5628i	−0.407500	+	1.25416i
$86$	−2.15040	+	2.38826i	−0.231884	+	0.257533i
$87$	4.14961	+	7.18734i	0.444885	+	0.770564i
$88$	−0.848943	+	1.47041i	−0.0904977	+	0.156747i
$89$	−1.52360	−	4.68915i	−0.161501	−	0.497049i	0.837260	−	0.546804i	$-0.184156\pi$
$89$	−1.52360	−	4.68915i	−0.161501	−	0.497049i	−0.998761	+	0.0497554i	$0.984156\pi$
$90$	2.01807	+	0.898504i	0.212724	+	0.0947107i
$91$	12.8939	+	9.36794i	1.35164	+	0.982027i
$92$	4.20906			0.438825
$93$	5.42327	−	1.26020i	0.562367	−	0.130677i
$94$	−4.63184			−0.477738
$95$	−6.33964	−	4.60602i	−0.650433	−	0.472568i
$96$	0.913545	+	0.406737i	0.0932383	+	0.0415124i
$97$	0.0962447	+	0.296211i	0.00977217	+	0.0300756i	0.955824	−	0.293941i	$-0.0949668\pi$
$97$	0.0962447	+	0.296211i	0.00977217	+	0.0300756i	−0.946052	+	0.324016i	$0.894967\pi$
$98$	1.26015	−	2.18265i	0.127295	−	0.220481i
$99$	0.848943	+	1.47041i	0.0853220	+	0.147782i
$100$	−0.0803408	+	0.0892275i	−0.00803408	+	0.00892275i
$101$	2.76298	−	8.50357i	0.274926	−	0.846137i	−0.714312	−	0.699827i	$-0.753260\pi$
$101$	2.76298	−	8.50357i	0.274926	−	0.846137i	0.989239	−	0.146310i	$-0.0467396\pi$
$102$	3.68264	+	4.08998i	0.364635	+	0.404969i
$103$	−6.61300	+	2.94430i	−0.651598	+	0.290110i	−0.705791	−	0.708420i	$-0.749408\pi$
$103$	−6.61300	+	2.94430i	−0.651598	+	0.290110i	0.0541927	+	0.998530i	$0.482741\pi$
$104$	−5.05248	−	1.07394i	−0.495436	−	0.105308i
$105$	−0.712471	+	6.77871i	−0.0695300	+	0.661534i
$106$	0.602983	+	5.73700i	0.0585669	+	0.557227i
$107$	4.26801	−	0.907194i	0.412604	−	0.0877018i	0.00306739	−	0.999995i	$-0.499024\pi$
$107$	4.26801	−	0.907194i	0.412604	−	0.0877018i	0.409537	+	0.912294i	$0.365690\pi$
$108$	0.809017	−	0.587785i	0.0778477	−	0.0565597i
$109$	5.72979	−	4.16294i	0.548814	−	0.398737i	−0.278534	−	0.960426i	$-0.589848\pi$
$109$	5.72979	−	4.16294i	0.548814	−	0.398737i	0.827348	+	0.561690i	$0.189848\pi$
$110$	3.66877	−	0.779820i	0.349803	−	0.0743529i
$111$	−0.961819	−	9.15109i	−0.0912918	−	0.868583i
$112$	−0.322523	+	3.06860i	−0.0304755	+	0.289955i
$113$	15.0780	+	3.20494i	1.41842	+	0.301495i	0.852398	−	0.522893i	$-0.175147\pi$
$113$	15.0780	+	3.20494i	1.41842	+	0.301495i	0.566025	+	0.824388i	$0.308481\pi$
$114$	−3.24064	+	1.44282i	−0.303513	+	0.135133i
$115$	−6.22161	−	6.90980i	−0.580168	−	0.644342i
$116$	2.56460	−	7.89303i	0.238117	−	0.732850i
$117$	−3.45630	+	3.83860i	−0.319535	+	0.354879i
$118$	−3.52323	−	6.10242i	−0.324340	−	0.561773i
$119$	−8.49070	+	14.7063i	−0.778341	+	1.34813i
$120$	−0.682636	−	2.10094i	−0.0623159	−	0.191789i
$121$	−7.41541	−	3.30155i	−0.674129	−	0.300141i
$122$	6.46602	+	4.69784i	0.585406	+	0.425322i
$123$	7.04179			0.634937
$124$	−4.56539	−	3.18704i	−0.409984	−	0.286204i
$125$	11.3105			1.01164
$126$	2.49622	+	1.81361i	0.222381	+	0.161569i
$127$	5.35370	+	2.38362i	0.475064	+	0.211512i	0.630279	−	0.776369i	$-0.282940\pi$
$127$	5.35370	+	2.38362i	0.475064	+	0.211512i	−0.155215	+	0.987881i	$0.549607\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	1.60686	−	2.78317i	0.141476	−	0.245044i
$130$	5.70528	+	9.88183i	0.500386	+	0.866694i
$131$	8.97020	−	9.96242i	0.783730	−	0.870421i	−0.210510	−	0.977592i	$-0.567513\pi$
$131$	8.97020	−	9.96242i	0.783730	−	0.870421i	0.994241	+	0.107171i	$0.0341792\pi$
$132$	0.524676	−	1.61479i	0.0456672	−	0.140549i
$133$	−7.32380	−	8.13390i	−0.635054	−	0.705299i
$134$	12.5240	−	5.57603i	1.08191	−	0.481695i
$135$	−2.16078	−	0.459289i	−0.185971	−	0.0395293i
$136$	0.575284	−	5.47346i	0.0493302	−	0.469346i
$137$	1.27793	+	12.1587i	0.109181	+	1.03878i	0.902709	+	0.430251i	$0.141575\pi$
$137$	1.27793	+	12.1587i	0.109181	+	1.03878i	−0.793529	+	0.608533i	$0.791758\pi$
$138$	−4.11708	+	0.875112i	−0.350469	+	0.0744945i
$139$	12.5243	−	9.09947i	1.06230	−	0.771807i	0.0877884	−	0.996139i	$-0.472020\pi$
$139$	12.5243	−	9.09947i	1.06230	−	0.771807i	0.974513	+	0.224332i	$0.0720201\pi$
$140$	5.51430	−	4.00637i	0.466043	−	0.338600i
$141$	4.53062	−	0.963014i	0.381547	−	0.0811004i
$142$	0.800368	+	7.61500i	0.0671654	+	0.639036i
$143$	−0.916734	+	8.72214i	−0.0766611	+	0.729382i
$144$	−0.978148	−	0.207912i	−0.0815123	−	0.0173260i
$145$	−16.7485	+	7.45689i	−1.39088	+	0.619261i
$146$	−4.80823	−	5.34008i	−0.397932	−	0.441948i
$147$	−0.778818	+	2.39695i	−0.0642358	+	0.197697i
$148$	−6.15701	+	6.83805i	−0.506103	+	0.562084i
$149$	−11.3604	−	19.6767i	−0.930678	−	1.61198i	−0.782165	−	0.623071i	$-0.785885\pi$
$149$	−11.3604	−	19.6767i	−0.930678	−	1.61198i	−0.148513	−	0.988910i	$-0.547449\pi$
$150$	0.0600337	−	0.103982i	0.00490173	−	0.00849005i
$151$	−6.89722	−	21.2274i	−0.561288	−	1.72747i	−0.678732	−	0.734386i	$-0.737470\pi$
$151$	−6.89722	−	21.2274i	−0.561288	−	1.72747i	0.117445	−	0.993079i	$-0.462530\pi$
$152$	3.24064	+	1.44282i	0.262850	+	0.117029i
$153$	−4.45252	−	3.23494i	−0.359965	−	0.261530i
$154$	5.23883			0.422157
$155$	1.51633	+	12.2057i	0.121794	+	0.980384i
$156$	5.16535			0.413559
$157$	−12.9984	−	9.44388i	−1.03738	−	0.753704i	−0.0676113	−	0.997712i	$-0.521538\pi$
$157$	−12.9984	−	9.44388i	−1.03738	−	0.753704i	−0.969773	+	0.244008i	$0.921538\pi$
$158$	−6.87266	−	3.05991i	−0.546760	−	0.243433i
$159$	−1.78260	−	5.48627i	−0.141369	−	0.435089i
$160$	−1.10453	+	1.91310i	−0.0873206	+	0.151244i
$161$	−6.49352	−	11.2471i	−0.511761	−	0.886396i
$162$	−0.669131	+	0.743145i	−0.0525719	+	0.0583870i
$163$	−2.77599	+	8.54363i	−0.217433	+	0.669189i	0.781539	+	0.623856i	$0.214435\pi$
$163$	−2.77599	+	8.54363i	−0.217433	+	0.669189i	−0.998972	+	0.0453329i	$0.985565\pi$
$164$	−4.71188	−	5.23307i	−0.367936	−	0.408634i
$165$	−3.42646	+	1.52556i	−0.266750	+	0.118765i
$166$	1.49011	+	0.316732i	0.115655	+	0.0245832i
$167$	−0.299324	+	2.84788i	−0.0231624	+	0.220376i	0.976818	+	0.214073i	$0.0686730\pi$
$167$	−0.299324	+	2.84788i	−0.0231624	+	0.220376i	−0.999980	+	0.00630295i	$0.997994\pi$
$168$	−0.322523	−	3.06860i	−0.0248832	−	0.236747i
$169$	−13.3819	+	2.84441i	−1.02938	+	0.218801i
$170$	−9.83586	+	7.14617i	−0.754376	+	0.548086i
$171$	2.86984	−	2.08506i	0.219462	−	0.159449i
$172$	−3.14350	+	0.668171i	−0.239690	+	0.0509476i
$173$	2.16537	+	20.6022i	0.164630	+	1.56635i	0.695266	+	0.718753i	$0.255287\pi$
$173$	2.16537	+	20.6022i	0.164630	+	1.56635i	−0.530636	+	0.847600i	$0.678047\pi$
$174$	−0.867505	+	8.25376i	−0.0657654	+	0.625716i
$175$	0.362373	+	0.0770247i	0.0273928	+	0.00582252i
$176$	−1.55110	+	0.690593i	−0.116918	+	0.0520554i
$177$	4.71501	+	5.23654i	0.354402	+	0.393603i
$178$	1.52360	−	4.68915i	0.114198	−	0.351467i
$179$	−2.62727	+	2.91788i	−0.196372	+	0.218093i	−0.833287	−	0.552841i	$-0.813544\pi$
$179$	−2.62727	+	2.91788i	−0.196372	+	0.218093i	0.636915	+	0.770934i	$0.280210\pi$
$180$	1.10453	+	1.91310i	0.0823267	+	0.142594i
$181$	−10.0381	+	17.3865i	−0.746127	+	1.29233i	0.203539	+	0.979067i	$0.434756\pi$
$181$	−10.0381	+	17.3865i	−0.746127	+	1.29233i	−0.949666	+	0.313264i	$0.898578\pi$
$182$	4.92502	+	15.1576i	0.365067	+	1.12356i
$183$	−7.30146	−	3.25082i	−0.539739	−	0.240307i
$184$	3.40520	+	2.47402i	0.251035	+	0.182387i
$185$	20.3266			1.49444
$186$	5.12825	+	2.16819i	0.376021	+	0.158980i
$187$	−9.34451			−0.683338
$188$	−3.74724	−	2.72253i	−0.273295	−	0.198561i
$189$	−2.81874	−	1.25499i	−0.205033	−	0.0912868i
$190$	−2.42153	−	7.45270i	−0.175676	−	0.540675i
$191$	−5.80398	+	10.0528i	−0.419961	+	0.727394i	−0.995935	−	0.0900738i	$-0.971290\pi$
$191$	−5.80398	+	10.0528i	−0.419961	+	0.727394i	0.575974	+	0.817468i	$0.304623\pi$
$192$	0.500000	+	0.866025i	0.0360844	+	0.0625000i
$193$	12.1541	−	13.4985i	0.874873	−	0.971644i	−0.124917	−	0.992167i	$-0.539866\pi$
$193$	12.1541	−	13.4985i	0.874873	−	0.971644i	0.999789	+	0.0205228i	$0.00653305\pi$
$194$	−0.0962447	+	0.296211i	−0.00690996	+	0.0212667i
$195$	−7.63515	−	8.47970i	−0.546765	−	0.607244i
$196$	2.30242	−	1.02510i	0.164458	−	0.0732215i
$197$	−6.30711	−	1.34062i	−0.449363	−	0.0955150i	−0.0223290	−	0.999751i	$-0.507108\pi$
$197$	−6.30711	−	1.34062i	−0.449363	−	0.0955150i	−0.427034	+	0.904236i	$0.640441\pi$
$198$	−0.177477	+	1.68859i	−0.0126128	+	0.120003i
$199$	−2.04068	−	19.4158i	−0.144660	−	1.37635i	−0.790306	−	0.612712i	$-0.790079\pi$
$199$	−2.04068	−	19.4158i	−0.144660	−	1.37635i	0.645646	−	0.763637i	$-0.276588\pi$
$200$	−0.117444	+	0.0249634i	−0.00830453	+	0.00176518i
$201$	−11.0910	+	8.05805i	−0.782296	+	0.568371i
$202$	7.23357	−	5.25549i	0.508952	−	0.369775i
$203$	−25.0477	+	5.32405i	−1.75800	+	0.373675i
$204$	0.575284	+	5.47346i	0.0402780	+	0.383219i
$205$	−1.62602	+	15.4705i	−0.113566	+	1.08051i
$206$	−7.08064	−	1.50504i	−0.493332	−	0.104861i
$207$	3.84516	−	1.71198i	0.267257	−	0.118991i
$208$	−3.45630	−	3.83860i	−0.239651	−	0.266159i
$209$	1.86119	−	5.72816i	0.128741	−	0.396225i
$210$	−4.56082	+	5.06531i	−0.314727	+	0.349539i
$211$	12.6835	+	21.9685i	0.873170	+	1.51237i	0.858699	+	0.512480i	$0.171273\pi$
$211$	12.6835	+	21.9685i	0.873170	+	1.51237i	0.0144707	+	0.999895i	$0.495394\pi$
$212$	−2.88430	+	4.99576i	−0.198095	+	0.343110i
$213$	−2.36613	−	7.28218i	−0.162124	−	0.498967i
$214$	3.98613	+	1.77474i	0.272486	+	0.121319i
$215$	5.74346	+	4.17287i	0.391701	+	0.284587i
$216$	1.00000			0.0680414
$217$	−1.47289	+	17.1161i	−0.0999861	+	1.16192i
$218$	7.08241			0.479681
$219$	5.81342	+	4.22370i	0.392835	+	0.285411i
$220$	3.42646	+	1.52556i	0.231012	+	0.102853i
$221$	−8.78477	−	27.0367i	−0.590927	−	1.81869i
$222$	4.60075	−	7.96873i	0.308782	−	0.534826i
$223$	−6.54539	−	11.3369i	−0.438312	−	0.759178i	0.559248	−	0.829000i	$-0.311090\pi$
$223$	−6.54539	−	11.3369i	−0.438312	−	0.759178i	−0.997559	+	0.0698227i	$0.977757\pi$
$224$	−2.06460	+	2.29297i	−0.137947	+	0.153206i
$225$	−0.0371029	+	0.114191i	−0.00247353	+	0.00761273i
$226$	10.3146	+	11.4555i	0.686116	+	0.762009i
$227$	7.15323	−	3.18482i	0.474776	−	0.211384i	−0.155376	−	0.987855i	$-0.549659\pi$
$227$	7.15323	−	3.18482i	0.474776	−	0.211384i	0.630153	+	0.776471i	$0.282992\pi$
$228$	−3.46980	−	0.737529i	−0.229793	−	0.0488440i
$229$	2.70069	−	25.6953i	0.178467	−	1.69800i	−0.428721	−	0.903437i	$-0.641036\pi$
$229$	2.70069	−	25.6953i	0.178467	−	1.69800i	0.607187	−	0.794559i	$-0.292298\pi$
$230$	−0.971910	−	9.24711i	−0.0640859	−	0.609736i
$231$	−5.12435	+	1.08921i	−0.337157	+	0.0716650i
$232$	6.71422	−	4.87816i	0.440810	−	0.320267i
$233$	1.60607	−	1.16688i	0.105217	−	0.0764449i	−0.533932	−	0.845527i	$-0.679286\pi$
$233$	1.60607	−	1.16688i	0.105217	−	0.0764449i	0.639150	+	0.769082i	$0.279286\pi$
$234$	−5.05248	+	1.07394i	−0.330291	+	0.0702055i
$235$	1.06954	+	10.1759i	0.0697688	+	0.663806i
$236$	0.736556	−	7.00786i	0.0479457	−	0.456173i
$237$	7.35867	+	1.56413i	0.477997	+	0.101601i
$238$	−15.5133	+	6.90696i	−1.00558	+	0.447711i
$239$	−20.2291	−	22.4667i	−1.30851	−	1.45325i	−0.810078	−	0.586322i	$-0.800576\pi$
$239$	−20.2291	−	22.4667i	−1.30851	−	1.45325i	−0.498433	−	0.866928i	$-0.666091\pi$
$240$	0.682636	−	2.10094i	0.0440640	−	0.135615i
$241$	6.74267	−	7.48849i	0.434334	−	0.482376i	−0.485750	−	0.874098i	$-0.661454\pi$
$241$	6.74267	−	7.48849i	0.434334	−	0.482376i	0.920084	+	0.391721i	$0.128120\pi$
$242$	−4.05859	−	7.02968i	−0.260896	−	0.451885i
$243$	0.500000	−	0.866025i	0.0320750	−	0.0555556i
$244$	2.46980	+	7.60127i	0.158113	+	0.486621i
$245$	−5.08617	−	2.26451i	−0.324943	−	0.144674i
$246$	5.69693	+	4.13906i	0.363223	+	0.263897i
$247$	18.3231			1.16587
$248$	−1.82019	−	5.26184i	−0.115582	−	0.334127i
$249$	−1.52340			−0.0965414
$250$	9.15040	+	6.64816i	0.578722	+	0.420466i
$251$	14.2118	+	6.32749i	0.897039	+	0.399388i	0.802860	−	0.596168i	$-0.203311\pi$
$251$	14.2118	+	6.32749i	0.897039	+	0.399388i	0.0941794	+	0.995555i	$0.469977\pi$
$252$	0.953472	+	2.93448i	0.0600631	+	0.184855i
$253$	3.57325	−	6.18905i	0.224648	−	0.389102i
$254$	2.93018	+	5.07521i	0.183856	+	0.318447i
$255$	8.13515	−	9.03500i	0.509443	−	0.565794i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	4.02261	+	4.46756i	0.250923	+	0.278679i	0.855427	−	0.517924i	$-0.173295\pi$
$257$	4.02261	+	4.46756i	0.250923	+	0.278679i	−0.604503	+	0.796603i	$0.706628\pi$
$258$	2.93589	−	1.30714i	0.182780	−	0.0813790i
$259$	27.7708	+	5.90287i	1.72559	+	0.366786i
$260$	−1.19273	+	11.3480i	−0.0739698	+	0.703776i
$261$	−0.867505	−	8.25376i	−0.0536972	−	0.510895i
$262$	13.1128	−	2.78721i	0.810112	−	0.172195i
$263$	−8.99632	+	6.53621i	−0.554737	+	0.403040i	−0.829529	−	0.558464i	$-0.811391\pi$
$263$	−8.99632	+	6.53621i	−0.554737	+	0.403040i	0.274792	+	0.961504i	$0.411391\pi$
$264$	1.37362	−	0.997993i	0.0845404	−	0.0614222i
$265$	12.4647	−	2.64945i	0.765701	−	0.162755i
$266$	−1.14409	−	10.8853i	−0.0701487	−	0.667420i
$267$	−0.515374	+	4.90346i	−0.0315404	+	0.300087i
$268$	13.4096	+	2.85030i	0.819122	+	0.174110i
$269$	2.77396	−	1.23505i	0.169131	−	0.0753021i	−0.320425	−	0.947274i	$-0.603826\pi$
$269$	2.77396	−	1.23505i	0.169131	−	0.0753021i	0.489556	+	0.871972i	$0.337159\pi$
$270$	−1.47815	−	1.64165i	−0.0899572	−	0.0999076i
$271$	−5.71664	+	17.5940i	−0.347261	+	1.06876i	0.613101	+	0.790004i	$0.289922\pi$
$271$	−5.71664	+	17.5940i	−0.347261	+	1.06876i	−0.960362	+	0.278755i	$0.910078\pi$
$272$	3.68264	−	4.08998i	0.223293	−	0.247992i
$273$	−7.96885	−	13.8024i	−0.482296	−	0.835362i
$274$	−6.11281	+	10.5877i	−0.369288	+	0.639626i
$275$	0.0629965	+	0.193883i	0.00379883	+	0.0116916i
$276$	−3.84516	−	1.71198i	−0.231452	−	0.103049i
$277$	15.5549	+	11.3013i	0.934604	+	0.679030i	0.947116	−	0.320892i	$-0.103983\pi$
$277$	15.5549	+	11.3013i	0.934604	+	0.679030i	−0.0125116	+	0.999922i	$0.503983\pi$
$278$	15.4809			0.928485
$279$	−5.46698	−	1.05459i	−0.327299	−	0.0631366i
$280$	6.81604			0.407337
$281$	19.4800	+	14.1530i	1.16208	+	0.844298i	0.990039	−	0.140792i	$-0.0449650\pi$
$281$	19.4800	+	14.1530i	1.16208	+	0.844298i	0.172037	+	0.985090i	$0.444965\pi$
$282$	4.23140	+	1.88394i	0.251976	+	0.112187i
$283$	−2.39512	−	7.37142i	−0.142375	−	0.438186i	0.854289	−	0.519798i	$-0.173993\pi$
$283$	−2.39512	−	7.37142i	−0.142375	−	0.438186i	−0.996664	+	0.0816128i	$0.973993\pi$
$284$	−3.82847	+	6.63111i	−0.227178	+	0.393484i
$285$	3.91811	+	6.78637i	0.232089	+	0.401990i
$286$	−5.86840	+	6.51752i	−0.347006	+	0.385389i
$287$	−6.71415	+	20.6640i	−0.396324	+	1.21976i
$288$	−0.669131	−	0.743145i	−0.0394289	−	0.0437902i
$289$	12.1408	−	5.40543i	0.714165	−	0.317967i
$290$	−17.9328	−	3.81174i	−1.05305	−	0.223833i
$291$	0.0325558	−	0.309748i	0.00190846	−	0.0181578i
$292$	−0.751119	−	7.14642i	−0.0439559	−	0.418212i
$293$	13.5096	−	2.87155i	0.789237	−	0.167758i	0.204378	−	0.978892i	$-0.434483\pi$
$293$	13.5096	−	2.87155i	0.789237	−	0.167758i	0.584859	+	0.811135i	$0.301150\pi$
$294$	−2.03897	+	1.48140i	−0.118915	+	0.0863970i
$295$	−12.5932	+	9.14949i	−0.733204	+	0.532704i
$296$	−9.00043	+	1.91310i	−0.523139	+	0.111197i
$297$	−0.177477	−	1.68859i	−0.0102983	−	0.0979817i
$298$	2.37496	−	22.5963i	0.137578	−	1.30897i
$299$	21.2662	+	4.52026i	1.22985	+	0.261414i
$300$	0.109687	−	0.0488358i	0.00633279	−	0.00281954i
$301$	6.63507	+	7.36899i	0.382439	+	0.424742i
$302$	6.89722	−	21.2274i	0.396890	−	1.22150i
$303$	−5.98282	+	6.64459i	−0.343704	+	0.381722i
$304$	1.77366	+	3.07207i	0.101726	+	0.176195i
$305$	8.82788	−	15.2903i	0.505483	−	0.875522i
$306$	−1.70071	−	5.23425i	−0.0972231	−	0.299222i
$307$	−11.6201	−	5.17362i	−0.663196	−	0.295274i	0.0473978	−	0.998876i	$-0.484907\pi$
$307$	−11.6201	−	5.17362i	−0.663196	−	0.295274i	−0.710594	+	0.703602i	$0.751574\pi$
$308$	4.23830	+	3.07931i	0.241500	+	0.175460i
$309$	7.23883			0.411803
$310$	−5.94758	+	10.7659i	−0.337800	+	0.611461i
$311$	−22.7252			−1.28863			−0.644313	−	0.764762i	$-0.722857\pi$
$311$	−22.7252			−1.28863			−0.644313	+	0.764762i	$0.722857\pi$
$312$	4.17886	+	3.03612i	0.236581	+	0.171886i
$313$	13.4688	+	5.99669i	0.761301	+	0.338953i	0.750397	−	0.660988i	$-0.229862\pi$
$313$	13.4688	+	5.99669i	0.761301	+	0.338953i	0.0109039	+	0.999941i	$0.496529\pi$
$314$	−4.96494	−	15.2805i	−0.280188	−	0.862330i
$315$	3.40802	−	5.90287i	0.192020	−	0.332589i
$316$	−3.76153	−	6.51517i	−0.211603	−	0.366507i
$317$	−13.7619	+	15.2841i	−0.772943	+	0.858440i	−0.993130	−	0.117018i	$-0.962667\pi$
$317$	−13.7619	+	15.2841i	−0.772943	+	0.858440i	0.220187	+	0.975458i	$0.429333\pi$
$318$	1.78260	−	5.48627i	0.0999630	−	0.307655i
$319$	−9.42882	−	10.4718i	−0.527912	−	0.586306i
$320$	−2.01807	+	0.898504i	−0.112814	+	0.0502279i
$321$	−4.26801	−	0.907194i	−0.238217	−	0.0506346i
$322$	1.35752	−	12.9159i	0.0756514	−	0.719775i
$323$	2.04072	+	19.4161i	0.113548	+	1.08034i
$324$	−0.978148	+	0.207912i	−0.0543415	+	0.0115506i
$325$	−0.501745	+	0.364539i	−0.0278318	+	0.0202210i
$326$	−7.26765	+	5.28025i	−0.402518	+	0.292446i
$327$	−6.92764	+	1.47252i	−0.383099	+	0.0814303i
$328$	−0.736068	−	7.00322i	−0.0406426	−	0.386688i
$329$	−1.49387	+	14.2133i	−0.0823599	+	0.783602i
$330$	−3.66877	−	0.779820i	−0.201959	−	0.0429277i
$331$	17.0420	−	7.58760i	0.936715	−	0.417052i	0.119142	−	0.992877i	$-0.461986\pi$
$331$	17.0420	−	7.58760i	0.936715	−	0.417052i	0.817573	+	0.575825i	$0.195319\pi$
$332$	1.01935	+	1.13211i	0.0559442	+	0.0621323i
$333$	−2.84342	+	8.75115i	−0.155818	+	0.479560i
$334$	−1.91610	+	2.12805i	−0.104844	+	0.116442i
$335$	−15.1422	−	26.2270i	−0.827306	−	1.43294i
$336$	1.54275	−	2.67212i	0.0841639	−	0.145776i
$337$	−8.88479	−	27.3446i	−0.483985	−	1.48955i	−0.833445	−	0.552602i	$-0.813635\pi$
$337$	−8.88479	−	27.3446i	−0.483985	−	1.48955i	0.349460	−	0.936951i	$-0.386365\pi$
$338$	−12.4981	−	5.56451i	−0.679806	−	0.302669i
$339$	−12.4709	−	9.06065i	−0.677327	−	0.492107i
$340$	−12.1578			−0.659349
$341$	−8.56202	+	4.00740i	−0.463659	+	0.217013i
$342$	3.54732			0.191817
$343$	11.1823	+	8.12442i	0.603788	+	0.438677i
$344$	−2.93589	−	1.30714i	−0.158292	−	0.0704763i
$345$	2.87325	+	8.84297i	0.154691	+	0.476089i
$346$	−10.3578	+	17.9403i	−0.556840	+	0.964475i
$347$	12.1414	+	21.0295i	0.651785	+	1.12892i	0.982690	+	0.185260i	$0.0593127\pi$
$347$	12.1414	+	21.0295i	0.651785	+	1.12892i	−0.330905	+	0.943664i	$0.607354\pi$
$348$	−5.55327	+	6.16753i	−0.297686	+	0.330614i
$349$	4.39037	−	13.5122i	0.235011	−	0.723290i	−0.762109	−	0.647449i	$-0.775836\pi$
$349$	4.39037	−	13.5122i	0.235011	−	0.723290i	0.997120	−	0.0758412i	$-0.0241642\pi$
$350$	0.247892	+	0.275312i	0.0132504	+	0.0147160i
$351$	4.71878	−	2.10094i	0.251870	−	0.112140i
$352$	−1.66078	−	0.353010i	−0.0885201	−	0.0188155i
$353$	0.952784	−	9.06513i	0.0507116	−	0.482488i	−0.939463	−	0.342651i	$-0.888675\pi$
$353$	0.952784	−	9.06513i	0.0507116	−	0.482488i	0.990174	−	0.139838i	$-0.0446581\pi$
$354$	0.736556	+	7.00786i	0.0391475	+	0.372464i
$355$	16.5450	−	3.51675i	0.878117	−	0.186650i
$356$	3.98883	−	2.89805i	0.211408	−	0.153597i
$357$	13.7382	−	9.98141i	0.727105	−	0.528272i
$358$	−3.84060	+	0.816344i	−0.202982	+	0.0431451i
$359$	0.932732	+	8.87436i	0.0492277	+	0.468371i	0.991170	+	0.132596i	$0.0423313\pi$
$359$	0.932732	+	8.87436i	0.0492277	+	0.468371i	−0.941942	+	0.335774i	$0.891002\pi$
$360$	−0.230909	+	2.19696i	−0.0121700	+	0.115790i
$361$	6.27632	+	1.33407i	0.330332	+	0.0702143i
$362$	−18.3406	+	8.16574i	−0.963958	+	0.429182i
$363$	5.43145	+	6.03224i	0.285077	+	0.316611i
$364$	−4.92502	+	15.1576i	−0.258141	+	0.794476i
$365$	−10.6216	+	11.7965i	−0.555962	+	0.617459i
$366$	−3.99622	−	6.92166i	−0.208886	−	0.361801i
$367$	−15.7824	+	27.3360i	−0.823836	+	1.42693i	0.0789693	+	0.996877i	$0.474837\pi$
$367$	−15.7824	+	27.3360i	−0.823836	+	1.42693i	−0.902806	+	0.430049i	$0.858496\pi$
$368$	1.30067	+	4.00305i	0.0678021	+	0.208673i
$369$	−6.43300	−	2.86416i	−0.334889	−	0.149102i
$370$	16.4446	+	11.9477i	0.854914	+	0.621131i
$371$	17.7990			0.924079
$372$	2.87441	+	4.76841i	0.149031	+	0.247231i
$373$	−7.43736			−0.385092			−0.192546	−	0.981288i	$-0.561674\pi$
$373$	−7.43736			−0.385092			−0.192546	+	0.981288i	$0.561674\pi$
$374$	−7.55987	−	5.49257i	−0.390911	−	0.284014i
$375$	−10.3327	−	4.60040i	−0.533577	−	0.237564i
$376$	−1.43132	−	4.40514i	−0.0738146	−	0.227178i
$377$	21.4342	−	37.1251i	1.10392	−	1.91204i
$378$	−1.54275	−	2.67212i	−0.0793505	−	0.137439i
$379$	−16.6966	+	18.5435i	−0.857649	+	0.952516i	−0.999300	−	0.0374007i	$-0.988092\pi$
$379$	−16.6966	+	18.5435i	−0.857649	+	0.952516i	0.141651	+	0.989917i	$0.454759\pi$
$380$	2.42153	−	7.45270i	0.124222	−	0.382315i
$381$	−3.92134	−	4.35509i	−0.200896	−	0.223118i
$382$	−10.6044	+	4.72138i	−0.542568	+	0.241567i
$383$	1.40254	+	0.298119i	0.0716665	+	0.0152332i	0.243605	−	0.969874i	$-0.421670\pi$
$383$	1.40254	+	0.298119i	0.0716665	+	0.0152332i	−0.171939	+	0.985108i	$0.555003\pi$
$384$	−0.104528	+	0.994522i	−0.00533420	+	0.0507515i
$385$	−1.20969	−	11.5095i	−0.0616517	−	0.586577i
$386$	17.7671	−	3.77652i	0.904322	−	0.192220i
$387$	−2.59996	+	1.88898i	−0.132163	+	0.0960223i
$388$	−0.251972	+	0.183068i	−0.0127919	+	0.00929388i
$389$	24.0385	−	5.10954i	1.21880	−	0.259064i	0.446769	−	0.894649i	$-0.352575\pi$
$389$	24.0385	−	5.10954i	1.21880	−	0.259064i	0.772030	+	0.635586i	$0.219241\pi$
$390$	−1.19273	−	11.3480i	−0.0603961	−	0.574631i
$391$	−2.42140	+	23.0381i	−0.122456	+	1.16509i
$392$	2.46523	+	0.524001i	0.124513	+	0.0264661i
$393$	−12.2468	+	5.45261i	−0.617768	+	0.275048i
$394$	−4.31456	−	4.79181i	−0.217364	−	0.241408i
$395$	−5.13552	+	15.8055i	−0.258396	+	0.795261i
$396$	−1.13611	+	1.26178i	−0.0570916	+	0.0634066i
$397$	7.85650	+	13.6079i	0.394306	+	0.682959i	0.993012	−	0.118010i	$-0.0376515\pi$
$397$	7.85650	+	13.6079i	0.394306	+	0.682959i	−0.598706	+	0.800969i	$0.704318\pi$
$398$	9.76137	−	16.9072i	0.489293	−	0.847481i
$399$	3.38227	+	10.4095i	0.169325	+	0.521129i
$400$	−0.109687	−	0.0488358i	−0.00548436	−	0.00244179i
$401$	−26.3083	−	19.1141i	−1.31377	−	0.954513i	−0.999987	−	0.00502010i	$-0.998402\pi$
$401$	−26.3083	−	19.1141i	−1.31377	−	0.954513i	−0.313788	−	0.949493i	$-0.601598\pi$
$402$	−13.7092			−0.683752
$403$	−19.6439	−	21.0054i	−0.978530	−	1.04635i
$404$	8.94118			0.444840
$405$	1.78716	+	1.29845i	0.0888049	+	0.0645206i
$406$	−23.3934	−	10.4154i	−1.16099	−	0.516908i
$407$	4.82780	+	14.8585i	0.239305	+	0.736506i
$408$	−2.75181	+	4.76627i	−0.136235	+	0.235965i
$409$	1.83934	+	3.18583i	0.0909495	+	0.157529i	0.907911	−	0.419163i	$-0.137676\pi$
$409$	1.83934	+	3.18583i	0.0909495	+	0.157529i	−0.816961	+	0.576692i	$0.804343\pi$
$410$	−10.4088	+	11.5602i	−0.514055	+	0.570915i
$411$	3.77793	−	11.6273i	0.186351	−	0.573530i
$412$	−4.84372	−	5.37950i	−0.238633	−	0.265029i
$413$	−19.8622	+	8.84321i	−0.977354	+	0.435146i
$414$	4.11708	+	0.875112i	0.202343	+	0.0430094i
$415$	0.351767	−	3.34684i	0.0172676	−	0.164290i
$416$	−0.539926	−	5.13706i	−0.0264721	−	0.251865i
$417$	−15.1426	+	3.21867i	−0.741539	+	0.157619i
$418$	4.87266	−	3.54020i	0.238330	−	0.173157i
$419$	5.31523	−	3.86174i	0.259666	−	0.188658i	−0.450334	−	0.892860i	$-0.648695\pi$
$419$	5.31523	−	3.86174i	0.259666	−	0.188658i	0.710000	+	0.704202i	$0.248695\pi$
$420$	−6.66710	+	1.41714i	−0.325321	+	0.0691491i
$421$	2.44394	+	23.2526i	0.119111	+	1.13326i	0.876870	+	0.480727i	$0.159627\pi$
$421$	2.44394	+	23.2526i	0.119111	+	1.13326i	−0.757760	+	0.652534i	$0.773706\pi$
$422$	−2.65158	+	25.2281i	−0.129077	+	1.22808i
$423$	−4.53062	−	0.963014i	−0.220286	−	0.0468233i
$424$	−5.26988	+	2.34630i	−0.255928	+	0.113946i
$425$	−0.442165	−	0.491074i	−0.0214481	−	0.0238206i
$426$	2.36613	−	7.28218i	0.114639	−	0.352823i
$427$	16.5012	−	18.3265i	0.798550	−	0.886879i
$428$	2.18168	+	3.77878i	0.105456	+	0.182654i
$429$	4.38509	−	7.59520i	0.211714	−	0.366700i
$430$	2.19381	+	6.75184i	0.105795	+	0.325603i
$431$	−19.6094	−	8.73068i	−0.944553	−	0.420542i	−0.124108	−	0.992269i	$-0.539607\pi$
$431$	−19.6094	−	8.73068i	−0.944553	−	0.420542i	−0.820444	+	0.571727i	$0.806274\pi$
$432$	0.809017	+	0.587785i	0.0389238	+	0.0282798i
$433$	−22.3519			−1.07417			−0.537083	−	0.843529i	$-0.680474\pi$
$433$	−22.3519			−1.07417			−0.537083	+	0.843529i	$0.680474\pi$
$434$	−11.2522	+	12.9815i	−0.540121	+	0.623130i
$435$	18.3335			0.879022
$436$	5.72979	+	4.16294i	0.274407	+	0.199368i
$437$	−13.6400	−	6.07293i	−0.652491	−	0.290508i
$438$	2.22053	+	6.83409i	0.106101	+	0.326545i
$439$	1.38473	−	2.39842i	0.0660894	−	0.114470i	−0.831087	−	0.556142i	$-0.812281\pi$
$439$	1.38473	−	2.39842i	0.0660894	−	0.114470i	0.897177	+	0.441672i	$0.145614\pi$
$440$	1.87536	+	3.24823i	0.0894045	+	0.154853i
$441$	1.68641	−	1.87295i	0.0803055	−	0.0891882i
$442$	8.78477	−	27.0367i	0.417849	−	1.28601i
$443$	−8.10798	−	9.00482i	−0.385222	−	0.427832i	0.519080	−	0.854725i	$-0.326275\pi$
$443$	−8.10798	−	9.00482i	−0.385222	−	0.427832i	−0.904302	+	0.426894i	$0.859608\pi$
$444$	8.40599	−	3.74259i	0.398931	−	0.177615i
$445$	−10.6537	−	2.26451i	−0.505032	−	0.107348i
$446$	1.36836	−	13.0191i	0.0647936	−	0.616470i
$447$	2.37496	+	22.5963i	0.112332	+	1.06877i
$448$	−3.01807	+	0.641511i	−0.142591	+	0.0303086i
$449$	−4.36628	+	3.17229i	−0.206058	+	0.149710i	−0.686028	−	0.727575i	$-0.740647\pi$
$449$	−4.36628	+	3.17229i	−0.206058	+	0.149710i	0.479971	+	0.877285i	$0.340647\pi$
$450$	−0.0971366	+	0.0705739i	−0.00457907	+	0.00332689i
$451$	−11.6949	+	2.48583i	−0.550691	+	0.117053i
$452$	1.61130	+	15.3305i	0.0757890	+	0.721084i
$453$	−2.33306	+	22.1976i	−0.109617	+	1.04293i
$454$	7.65907	+	1.62799i	0.359458	+	0.0764052i
$455$	32.1634	−	14.3201i	1.50785	−	0.671336i
$456$	−2.37362	−	2.63617i	−0.111155	−	0.123450i
$457$	−0.262615	+	0.808246i	−0.0122846	+	0.0378081i	−0.957011	−	0.290052i	$-0.906327\pi$
$457$	−0.262615	+	0.808246i	−0.0122846	+	0.0378081i	0.944726	+	0.327860i	$0.106327\pi$
$458$	17.2882	−	19.2005i	0.807827	−	0.897182i
$459$	2.75181	+	4.76627i	0.128443	+	0.222470i
$460$	4.64902	−	8.05234i	0.216762	−	0.375442i
$461$	−9.01112	−	27.7334i	−0.419690	−	1.29167i	−0.907988	−	0.418996i	$-0.862382\pi$
$461$	−9.01112	−	27.7334i	−0.419690	−	1.29167i	0.488299	−	0.872677i	$-0.337618\pi$
$462$	−4.78591	−	2.13082i	−0.222661	−	0.0991349i
$463$	6.06927	+	4.40958i	0.282063	+	0.204931i	0.719817	−	0.694164i	$-0.244226\pi$
$463$	6.06927	+	4.40958i	0.282063	+	0.204931i	−0.437754	+	0.899095i	$0.644226\pi$
$464$	8.29923			0.385282
$465$	3.57926	−	11.7672i	0.165984	−	0.545690i
$466$	1.98522			0.0919634
$467$	−4.25191	−	3.08919i	−0.196755	−	0.142951i	0.485046	−	0.874489i	$-0.338803\pi$
$467$	−4.25191	−	3.08919i	−0.196755	−	0.142951i	−0.681801	+	0.731538i	$0.738803\pi$
$468$	−4.71878	−	2.10094i	−0.218126	−	0.0971159i
$469$	−13.0713	−	40.2294i	−0.603577	−	1.85762i
$470$	−5.11600	+	8.86117i	−0.235984	+	0.408735i
$471$	8.03345	+	13.9143i	0.370162	+	0.641139i
$472$	4.71501	−	5.23654i	0.217026	−	0.241031i
$473$	−1.68617	+	5.18948i	−0.0775300	+	0.238613i
$474$	5.03391	+	5.59073i	0.231215	+	0.256791i
$475$	0.389095	−	0.173236i	0.0178529	−	0.00794863i
$476$	−16.6103	−	3.53063i	−0.761332	−	0.161826i
$477$	−0.602983	+	5.73700i	−0.0276087	+	0.262679i
$478$	−3.16010	−	30.0663i	−0.144539	−	1.37520i
$479$	33.2613	−	7.06990i	1.51975	−	0.323032i	0.628954	−	0.777443i	$-0.283484\pi$
$479$	33.2613	−	7.06990i	1.51975	−	0.323032i	0.890792	+	0.454411i	$0.150150\pi$
$480$	1.78716	−	1.29845i	0.0815725	−	0.0592659i
$481$	−38.4518	+	27.9368i	−1.75325	+	1.27381i
$482$	9.85656	−	2.09508i	0.448954	−	0.0954281i
$483$	1.35752	+	12.9159i	0.0617691	+	0.587694i
$484$	0.848476	−	8.07271i	0.0385671	−	0.366942i
$485$	0.672985	+	0.143047i	0.0305587	+	0.00649545i
$486$	0.913545	−	0.406737i	0.0414393	−	0.0184499i
$487$	−7.33793	−	8.14960i	−0.332513	−	0.369294i	0.553583	−	0.832794i	$-0.313260\pi$
$487$	−7.33793	−	8.14960i	−0.332513	−	0.369294i	−0.886097	+	0.463500i	$0.846593\pi$
$488$	−2.46980	+	7.60127i	−0.111803	+	0.344093i
$489$	6.01101	−	6.67590i	0.271827	−	0.301895i
$490$	−2.78375	−	4.82160i	−0.125757	−	0.217818i
$491$	1.41210	−	2.44583i	0.0637273	−	0.110379i	−0.832401	−	0.554173i	$-0.813035\pi$
$491$	1.41210	−	2.44583i	0.0637273	−	0.110379i	0.896129	+	0.443794i	$0.146368\pi$
$492$	2.17603	+	6.69714i	0.0981032	+	0.301931i
$493$	41.7269	+	18.5780i	1.87928	+	0.836711i
$494$	14.8237	+	10.7701i	0.666951	+	0.484569i
$495$	3.75073			0.168583
$496$	1.62027	−	5.32679i	0.0727521	−	0.239180i
$497$	23.6255			1.05975
$498$	−1.23245	−	0.895431i	−0.0552276	−	0.0401252i
$499$	−21.4488	−	9.54960i	−0.960178	−	0.427499i	−0.134046	−	0.990975i	$-0.542797\pi$
$499$	−21.4488	−	9.54960i	−0.960178	−	0.427499i	−0.826132	+	0.563476i	$0.809464\pi$
$500$	3.49514	+	10.7569i	0.156308	+	0.481065i
$501$	1.43178	−	2.47992i	0.0639674	−	0.110795i
$502$	7.77836	+	13.4725i	0.347165	+	0.601308i
$503$	3.79135	−	4.21072i	0.169048	−	0.187747i	−0.652668	−	0.757644i	$-0.726350\pi$
$503$	3.79135	−	4.21072i	0.169048	−	0.187747i	0.821716	+	0.569897i	$0.193017\pi$
$504$	−0.953472	+	2.93448i	−0.0424710	+	0.130712i
$505$	−13.2164	−	14.6783i	−0.588121	−	0.653175i
$506$	6.52865	−	2.90674i	0.290234	−	0.129221i
$507$	13.3819	+	2.84441i	0.594311	+	0.126325i
$508$	−0.612574	+	5.82825i	−0.0271786	+	0.258587i
$509$	3.12211	+	29.7049i	0.138385	+	1.31665i	0.814634	+	0.579975i	$0.196938\pi$
$509$	3.12211	+	29.7049i	0.138385	+	1.31665i	−0.676249	+	0.736673i	$0.736396\pi$
$510$	11.8921	−	2.52775i	0.526592	−	0.111931i
$511$	−17.9373	+	13.0322i	−0.793500	+	0.576511i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−3.46980	+	0.737529i	−0.153195	+	0.0325627i
$514$	0.628393	+	5.97876i	0.0277172	+	0.263712i
$515$	−1.67151	+	15.9034i	−0.0736557	+	0.700787i
$516$	3.14350	+	0.668171i	0.138385	+	0.0294146i
$517$	−7.18443	+	3.19872i	−0.315971	+	0.140679i
$518$	18.9974	+	21.0988i	0.834699	+	0.927028i
$519$	6.40148	−	19.7017i	0.280994	−	0.864810i
$520$	−7.63515	+	8.47970i	−0.334824	+	0.371859i
$521$	2.60561	+	4.51304i	0.114154	+	0.197720i	0.917441	−	0.397872i	$-0.130251\pi$
$521$	2.60561	+	4.51304i	0.114154	+	0.197720i	−0.803287	+	0.595592i	$0.796918\pi$
$522$	4.14961	−	7.18734i	0.181624	−	0.314581i
$523$	−0.622518	−	1.91591i	−0.0272208	−	0.0837770i	0.936523	−	0.350606i	$-0.114024\pi$
$523$	−0.622518	−	1.91591i	−0.0272208	−	0.0837770i	−0.963744	+	0.266829i	$0.914024\pi$
$524$	12.2468	+	5.45261i	0.535003	+	0.238199i
$525$	−0.299715	−	0.217756i	−0.0130806	−	0.00950364i
$526$	−11.1201			−0.484858
$527$	20.0705	−	23.1551i	0.874286	−	1.00865i
$528$	1.69789			0.0738910
$529$	4.27472	+	3.10576i	0.185857	+	0.135033i
$530$	11.6415	+	5.18311i	0.505673	+	0.225140i
$531$	−2.17748	−	6.70159i	−0.0944945	−	0.290824i
$532$	5.47262	−	9.47886i	0.237268	−	0.410961i
$533$	−18.1867	−	31.5002i	−0.787752	−	1.36443i
$534$	−3.29912	+	3.66405i	−0.142767	+	0.158559i
$535$	2.97859	−	9.16715i	0.128776	−	0.396331i
$536$	9.17323	+	10.1879i	0.396223	+	0.440051i
$537$	3.58694	−	1.59701i	0.154788	−	0.0689161i
$538$	2.97012	+	0.631319i	0.128051	+	0.0272181i
$539$	0.447298	−	4.25575i	0.0192665	−	0.183308i
$540$	−0.230909	−	2.19696i	−0.00993676	−	0.0945419i
$541$	3.10282	−	0.659524i	0.133401	−	0.0283552i	−0.140727	−	0.990048i	$-0.544944\pi$
$541$	3.10282	−	0.659524i	0.133401	−	0.0283552i	0.274128	+	0.961693i	$0.411611\pi$
$542$	−14.9663	+	10.8737i	−0.642860	+	0.467065i
$543$	16.2420	−	11.8005i	0.697012	−	0.506409i
$544$	5.38335	−	1.14427i	0.230809	−	0.0490600i
$545$	−1.63539	−	15.5597i	−0.0700526	−	0.666506i
$546$	1.66594	−	15.8504i	0.0712958	−	0.678334i
$547$	7.65450	+	1.62702i	0.327283	+	0.0695661i	0.368623	−	0.929579i	$-0.379829\pi$
$547$	7.65450	+	1.62702i	0.327283	+	0.0695661i	−0.0413400	+	0.999145i	$0.513163\pi$
$548$	−11.1687	+	4.97261i	−0.477102	+	0.212419i
$549$	5.34799	+	5.93954i	0.228247	+	0.253494i
$550$	−0.0629965	+	0.193883i	−0.00268618	+	0.00826721i
$551$	−19.6992	+	21.8782i	−0.839214	+	0.932042i
$552$	−2.10453	−	3.64515i	−0.0895747	−	0.155148i
$553$	−11.6062	+	20.1025i	−0.493546	+	0.854847i
$554$	5.94145	+	18.2859i	0.252428	+	0.776893i
$555$	−18.5693	−	8.26759i	−0.788223	−	0.350940i
$556$	12.5243	+	9.09947i	0.531151	+	0.385903i
$557$	−18.6987			−0.792289			−0.396145	−	0.918188i	$-0.629652\pi$
$557$	−18.6987			−0.792289			−0.396145	+	0.918188i	$0.629652\pi$
$558$	−3.80301	−	4.06659i	−0.160994	−	0.172152i
$559$	−16.6000			−0.702107
$560$	5.51430	+	4.00637i	0.233022	+	0.169300i
$561$	8.53664	+	3.80076i	0.360417	+	0.160468i
$562$	7.44068	+	22.9001i	0.313866	+	0.965981i
$563$	8.65701	−	14.9944i	0.364849	−	0.631937i	−0.623903	−	0.781502i	$-0.714454\pi$
$563$	8.65701	−	14.9944i	0.364849	−	0.631937i	0.988752	+	0.149565i	$0.0477872\pi$
$564$	2.31592	+	4.01129i	0.0975178	+	0.168906i
$565$	22.7855	−	25.3059i	0.958593	−	1.06463i
$566$	2.39512	−	7.37142i	0.100674	−	0.309844i
$567$	2.06460	+	2.29297i	0.0867051	+	0.0962958i
$568$	−6.99496	+	3.11436i	−0.293502	+	0.130676i
$569$	37.3020	+	7.92879i	1.56378	+	0.332392i	0.906816	−	0.421528i	$-0.138506\pi$
$569$	37.3020	+	7.92879i	1.56378	+	0.332392i	0.656967	+	0.753920i	$0.271839\pi$
$570$	−0.819109	+	7.79330i	−0.0343087	+	0.326425i
$571$	−4.65847	−	44.3224i	−0.194951	−	1.85483i	−0.456602	−	0.889671i	$-0.650934\pi$
$571$	−4.65847	−	44.3224i	−0.194951	−	1.85483i	0.261651	−	0.965163i	$-0.415733\pi$
$572$	−8.57853	+	1.82342i	−0.358686	+	0.0762412i
$573$	9.39104	−	6.82299i	0.392316	−	0.285034i
$574$	−17.5779	+	12.7711i	−0.733687	+	0.533054i
$575$	0.494327	−	0.105073i	0.0206149	−	0.00438183i
$576$	−0.104528	−	0.994522i	−0.00435535	−	0.0414384i
$577$	2.39957	−	22.8304i	0.0998953	−	0.950441i	−0.823688	−	0.567043i	$-0.808087\pi$
$577$	2.39957	−	22.8304i	0.0998953	−	0.950441i	0.923583	−	0.383398i	$-0.125246\pi$
$578$	12.9993	+	2.76310i	0.540702	+	0.114930i
$579$	−16.5937	+	7.38798i	−0.689610	+	0.307034i
$580$	−12.2675	−	13.6244i	−0.509379	−	0.565723i
$581$	1.45252	−	4.47039i	0.0602605	−	0.185463i
$582$	0.208404	−	0.231456i	0.00863861	−	0.00959414i
$583$	4.89722	+	8.48223i	0.202822	+	0.351298i
$584$	3.59289	−	6.22307i	0.148675	−	0.257512i
$585$	3.52606	+	10.8521i	0.145784	+	0.448678i
$586$	12.6173	+	5.61759i	0.521217	+	0.232061i
$587$	−27.6887	−	20.1170i	−1.14283	−	0.830318i	−0.155322	−	0.987864i	$-0.549642\pi$
$587$	−27.6887	−	20.1170i	−1.14283	−	0.830318i	−0.987512	+	0.157546i	$0.949642\pi$
$588$	−2.52031			−0.103936
$589$	10.1964	+	16.9151i	0.420137	+	0.696974i
$590$	−15.5660			−0.640844
$591$	5.21655	+	3.79005i	0.214580	+	0.155902i
$592$	−8.40599	−	3.74259i	−0.345484	−	0.153819i
$593$	14.6909	+	45.2141i	0.603285	+	1.85672i	0.508178	+	0.861252i	$0.330319\pi$
$593$	14.6909	+	45.2141i	0.603285	+	1.85672i	0.0951068	+	0.995467i	$0.469681\pi$
$594$	0.848943	−	1.47041i	0.0348326	−	0.0603318i
$595$	18.7564	+	32.4871i	0.768939	+	1.33184i
$596$	15.2031	−	16.8848i	0.622745	−	0.691629i
$597$	−6.03286	+	18.5672i	−0.246908	+	0.759906i
$598$	14.5477	+	16.1569i	0.594901	+	0.660705i
$599$	−38.9981	+	17.3631i	−1.59342	+	0.709436i	−0.995732	−	0.0922934i	$-0.970580\pi$
$599$	−38.9981	+	17.3631i	−1.59342	+	0.709436i	−0.597687	+	0.801729i	$0.703914\pi$
$600$	0.117444	+	0.0249634i	0.00479462	+	0.00101913i
$601$	−0.957806	+	9.11292i	−0.0390697	+	0.371724i	0.957465	+	0.288549i	$0.0931727\pi$
$601$	−0.957806	+	9.11292i	−0.0390697	+	0.371724i	−0.996535	+	0.0831749i	$0.973494\pi$
$602$	1.03650	+	9.86163i	0.0422446	+	0.401930i
$603$	13.4096	−	2.85030i	0.546081	−	0.116073i
$604$	18.0571	−	13.1193i	0.734735	−	0.533816i
$605$	−14.5067	+	10.5398i	−0.589783	+	0.428502i
$606$	−8.74580	+	1.85898i	−0.355274	+	0.0755157i
$607$	1.07984	+	10.2740i	0.0438293	+	0.417008i	0.994334	+	0.106299i	$0.0339000\pi$
$607$	1.07984	+	10.2740i	0.0438293	+	0.417008i	−0.950505	+	0.310710i	$0.899433\pi$
$608$	−0.370796	+	3.52789i	−0.0150378	+	0.143075i
$609$	25.0477	+	5.32405i	1.01498	+	0.215741i
$610$	16.1293	−	7.18125i	0.653058	−	0.290760i
$611$	−16.0090	−	17.7798i	−0.647655	−	0.719294i
$612$	1.70071	−	5.23425i	0.0687471	−	0.211582i
$613$	0.471728	−	0.523908i	0.0190529	−	0.0211604i	−0.733543	−	0.679643i	$-0.762135\pi$
$613$	0.471728	−	0.523908i	0.0190529	−	0.0211604i	0.752596	+	0.658483i	$0.228801\pi$
$614$	−6.35991	−	11.0157i	−0.256665	−	0.444557i
$615$	7.77786	−	13.4717i	0.313634	−	0.543229i
$616$	1.61889	+	4.98242i	0.0652268	+	0.200747i
$617$	28.9201	+	12.8760i	1.16428	+	0.518370i	0.895600	−	0.444860i	$-0.146747\pi$
$617$	28.9201	+	12.8760i	1.16428	+	0.518370i	0.268678	+	0.963230i	$0.413413\pi$
$618$	5.85634	+	4.25488i	0.235576	+	0.171156i
$619$	−25.9249			−1.04201			−0.521005	−	0.853554i	$-0.674443\pi$
$619$	−25.9249			−1.04201			−0.521005	+	0.853554i	$0.674443\pi$
$620$	−11.1397	+	5.21388i	−0.447382	+	0.209394i
$621$	−4.20906			−0.168904
$622$	−18.3850	−	13.3575i	−0.737173	−	0.535588i
$623$	−13.8977	−	6.18766i	−0.556800	−	0.247903i
$624$	1.59618	+	4.91254i	0.0638984	+	0.196659i
$625$	12.1926	−	21.1182i	0.487705	−	0.844730i
$626$	7.37171	+	12.7682i	0.294633	+	0.510319i
$627$	−4.03014	+	4.47592i	−0.160948	+	0.178751i
$628$	4.96494	−	15.2805i	0.198123	−	0.609759i
$629$	−33.8858	−	37.6340i	−1.35111	−	1.50056i
$630$	6.22677	−	2.77233i	0.248080	−	0.110452i
$631$	25.9536	+	5.51661i	1.03320	+	0.219613i	0.693148	−	0.720795i	$-0.256223\pi$
$631$	25.9536	+	5.51661i	1.03320	+	0.219613i	0.340049	+	0.940408i	$0.389556\pi$
$632$	0.786375	−	7.48186i	0.0312803	−	0.297612i
$633$	−2.65158	−	25.2281i	−0.105391	−	1.00273i
$634$	−20.1173	+	4.27607i	−0.798962	+	0.169825i
$635$	10.4734	−	7.60938i	0.415625	−	0.301969i
$636$	4.66690	−	3.39070i	0.185055	−	0.134450i
$637$	12.7338	−	2.70665i	0.504531	−	0.107241i
$638$	−1.47293	−	14.0140i	−0.0583137	−	0.554818i
$639$	−0.800368	+	7.61500i	−0.0316621	+	0.301245i
$640$	−2.16078	−	0.459289i	−0.0854125	−	0.0181550i
$641$	−9.00487	+	4.00923i	−0.355671	+	0.158355i	−0.576791	−	0.816892i	$-0.695695\pi$
$641$	−9.00487	+	4.00923i	−0.355671	+	0.158355i	0.221120	+	0.975247i	$0.429029\pi$
$642$	−2.91966	−	3.24261i	−0.115230	−	0.127976i
$643$	0.569210	−	1.75185i	0.0224474	−	0.0690861i	−0.939205	−	0.343356i	$-0.888436\pi$
$643$	0.569210	−	1.75185i	0.0224474	−	0.0690861i	0.961653	+	0.274270i	$0.0884362\pi$
$644$	8.69003	−	9.65125i	0.342435	−	0.380313i
$645$	−3.54965	−	6.14818i	−0.139767	−	0.242084i
$646$	−9.76153	+	16.9075i	−0.384062	+	0.665216i
$647$	−1.44267	−	4.44010i	−0.0567174	−	0.174558i	0.918685	−	0.394992i	$-0.129253\pi$
$647$	−1.44267	−	4.44010i	−0.0567174	−	0.174558i	−0.975402	+	0.220434i	$0.929253\pi$
$648$	−0.913545	−	0.406737i	−0.0358875	−	0.0159781i
$649$	−9.67916	−	7.03232i	−0.379940	−	0.276043i
$650$	−0.620191			−0.0243259
$651$	8.30729	−	15.0372i	0.325588	−	0.589356i
$652$	−8.98331			−0.351813
$653$	5.40599	+	3.92768i	0.211553	+	0.153702i	0.688516	−	0.725221i	$-0.258263\pi$
$653$	5.40599	+	3.92768i	0.211553	+	0.153702i	−0.476963	+	0.878923i	$0.658263\pi$
$654$	−6.47010	−	2.88068i	−0.253001	−	0.112643i
$655$	−9.15126	−	28.1647i	−0.357569	−	1.10048i
$656$	3.52090	−	6.09837i	0.137468	−	0.238101i
$657$	−3.59289	−	6.22307i	−0.140172	−	0.242785i
$658$	−9.56291	+	10.6207i	−0.372801	+	0.414037i
$659$	−11.0001	+	33.8550i	−0.428505	+	1.31880i	0.471093	+	0.882084i	$0.343860\pi$
$659$	−11.0001	+	33.8550i	−0.428505	+	1.31880i	−0.899598	+	0.436719i	$0.856140\pi$
$660$	−2.50973	−	2.78733i	−0.0976910	−	0.108497i
$661$	−15.5631	+	6.92915i	−0.605335	+	0.269513i	−0.686432	−	0.727194i	$-0.740824\pi$
$661$	−15.5631	+	6.92915i	−0.605335	+	0.269513i	0.0810973	+	0.996706i	$0.474158\pi$
$662$	18.2472	+	3.87856i	0.709197	+	0.150744i
$663$	−2.97155	+	28.2724i	−0.115405	+	1.09801i
$664$	0.159238	+	1.51505i	0.00617965	+	0.0587954i
$665$	−23.6503	+	5.02703i	−0.917120	+	0.194940i
$666$	−7.44417	+	5.40851i	−0.288456	+	0.209575i
$667$	−28.2605	+	20.5325i	−1.09425	+	0.795020i
$668$	−2.80099	+	0.595369i	−0.108374	+	0.0230355i
$669$	1.36836	+	13.0191i	0.0529038	+	0.503346i
$670$	3.16558	−	30.1185i	0.122297	−	1.16358i
$671$	13.2737	+	2.82142i	0.512426	+	0.108920i
$672$	2.81874	−	1.25499i	0.108735	−	0.0484121i
$673$	−3.46347	−	3.84658i	−0.133507	−	0.148275i	0.672684	−	0.739930i	$-0.265141\pi$
$673$	−3.46347	−	3.84658i	−0.133507	−	0.148275i	−0.806191	+	0.591655i	$0.798475\pi$
$674$	8.88479	−	27.3446i	0.342229	−	1.05327i
$675$	0.0803408	−	0.0892275i	0.00309232	−	0.00343437i
$676$	−6.84043	−	11.8480i	−0.263094	−	0.455691i
$677$	−5.59464	+	9.69019i	−0.215019	+	0.372424i	−0.953279	−	0.302093i	$-0.902315\pi$
$677$	−5.59464	+	9.69019i	−0.215019	+	0.372424i	0.738259	+	0.674517i	$0.235648\pi$
$678$	−4.76347	−	14.6604i	−0.182940	−	0.563031i
$679$	0.877910	+	0.390871i	0.0336911	+	0.0150002i
$680$	−9.83586	−	7.14617i	−0.377188	−	0.274043i
$681$	−7.83018			−0.300053
$682$	−9.28231	−	1.79057i	−0.355438	−	0.0685646i
$683$	33.3213			1.27500			0.637502	−	0.770448i	$-0.279968\pi$
$683$	33.3213			1.27500			0.637502	+	0.770448i	$0.279968\pi$
$684$	2.86984	+	2.08506i	0.109731	+	0.0797243i
$685$	24.6722	+	10.9848i	0.942677	+	0.419707i
$686$	4.27126	+	13.1456i	0.163077	+	0.501901i
$687$	−12.9184	+	22.3754i	−0.492869	+	0.853674i
$688$	−1.60686	−	2.78317i	−0.0612611	−	0.106107i
$689$	−19.9380	+	22.1434i	−0.759577	+	0.843596i
$690$	−2.87325	+	8.84297i	−0.109383	+	0.336646i
$691$	15.7485	+	17.4905i	0.599102	+	0.665371i	0.964070	−	0.265650i	$-0.0855865\pi$
$691$	15.7485	+	17.4905i	0.599102	+	0.665371i	−0.364967	+	0.931020i	$0.618920\pi$
$692$	−18.9247	+	8.42581i	−0.719408	+	0.320301i
$693$	5.12435	+	1.08921i	0.194658	+	0.0413758i
$694$	−2.53824	+	24.1498i	−0.0963504	+	0.916713i
$695$	−3.57469	−	34.0109i	−0.135596	−	1.29011i
$696$	−8.11787	+	1.72551i	−0.307707	+	0.0654051i
$697$	31.3537	−	22.7798i	1.18761	−	0.862847i
$698$	11.4941	−	8.35099i	0.435060	−	0.316089i
$699$	−1.94183	+	0.412750i	−0.0734469	+	0.0156116i
$700$	0.0387245	+	0.368439i	0.00146365	+	0.0139257i
$701$	0.234192	−	2.22819i	0.00884532	−	0.0841576i	−0.989209	−	0.146514i	$-0.953195\pi$
$701$	0.234192	−	2.22819i	0.00884532	−	0.0841576i	0.998054	+	0.0623560i	$0.0198614\pi$
$702$	5.05248	+	1.07394i	0.190693	+	0.0405331i
$703$	29.8187	−	13.2761i	1.12463	−	0.500719i
$704$	−1.13611	−	1.26178i	−0.0428187	−	0.0475550i
$705$	3.16186	−	9.73121i	0.119083	−	0.366499i
$706$	6.09917	−	6.77381i	0.229545	−	0.254936i
$707$	−13.7940	−	23.8919i	−0.518777	−	0.898548i
$708$	−3.52323	+	6.10242i	−0.132411	+	0.229343i
$709$	5.84240	+	17.9811i	0.219416	+	0.675293i	0.998811	+	0.0487596i	$0.0155268\pi$
$709$	5.84240	+	17.9811i	0.219416	+	0.675293i	−0.779395	+	0.626533i	$0.784473\pi$
$710$	15.4523	+	6.87980i	0.579914	+	0.258194i
$711$	−6.08629	−	4.42195i	−0.228254	−	0.165836i
$712$	4.93046			0.184777
$713$	7.66127	+	22.1474i	0.286917	+	0.829425i
$714$	16.9814			0.635513
$715$	15.6738	+	11.3877i	0.586165	+	0.425874i
$716$	−3.58694	−	1.59701i	−0.134050	−	0.0596831i
$717$	9.34218	+	28.7523i	0.348890	+	1.07377i
$718$	−4.46162	+	7.72775i	−0.166506	+	0.288397i
$719$	−10.7219	−	18.5708i	−0.399858	−	0.692575i	0.593850	−	0.804576i	$-0.297607\pi$
$719$	−10.7219	−	18.5708i	−0.399858	−	0.692575i	−0.993708	+	0.112001i	$0.964274\pi$
$720$	−1.47815	+	1.64165i	−0.0550873	+	0.0611807i
$721$	−6.90202	+	21.2422i	−0.257045	+	0.791102i
$722$	4.29350	+	4.76841i	0.159787	+	0.177462i
$723$	−9.20558	+	4.09859i	−0.342359	+	0.152428i
$724$	−19.6375	−	4.17408i	−0.729823	−	0.155129i
$725$	0.104159	−	0.991009i	0.00386838	−	0.0368051i
$726$	0.848476	+	8.07271i	0.0314899	+	0.299607i
$727$	−25.8755	+	5.50000i	−0.959668	+	0.203984i	−0.661010	−	0.750377i	$-0.729872\pi$
$727$	−25.8755	+	5.50000i	−0.959668	+	0.203984i	−0.298657	+	0.954360i	$0.596539\pi$
$728$	−12.8939	+	9.36794i	−0.477878	+	0.347199i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	−15.5269	+	3.30035i	−0.574677	+	0.122151i
$731$	−1.84881	−	17.5902i	−0.0683806	−	0.650598i
$732$	0.835438	−	7.94866i	0.0308787	−	0.293791i
$733$	−46.3242	−	9.84651i	−1.71102	−	0.363689i	−0.754715	−	0.656053i	$-0.772225\pi$
$733$	−46.3242	−	9.84651i	−1.71102	−	0.363689i	−0.956307	+	0.292363i	$0.905558\pi$
$734$	−28.8359	+	12.8386i	−1.06435	+	0.473881i
$735$	3.72539	+	4.13746i	0.137413	+	0.152613i
$736$	−1.30067	+	4.00305i	−0.0479433	+	0.147554i
$737$	15.5751	−	17.2979i	0.573716	−	0.637177i
$738$	−3.52090	−	6.09837i	−0.129606	−	0.224484i
$739$	23.4314	−	40.5844i	0.861938	−	1.49292i	−0.00811841	−	0.999967i	$-0.502584\pi$
$739$	23.4314	−	40.5844i	0.861938	−	1.49292i	0.870056	−	0.492953i	$-0.164082\pi$
$740$	6.28128	+	19.3318i	0.230904	+	0.710650i
$741$	−16.7390	−	7.45270i	−0.614924	−	0.273782i
$742$	14.3997	+	10.4620i	0.528630	+	0.384072i
$743$	9.68529			0.355319			0.177659	−	0.984092i	$-0.443147\pi$
$743$	9.68529			0.355319			0.177659	+	0.984092i	$0.443147\pi$
$744$	−0.477358	+	5.54726i	−0.0175008	+	0.203373i
$745$	−50.1914			−1.83887
$746$	−6.01695	−	4.37157i	−0.220296	−	0.160055i
$747$	1.39169	+	0.619622i	0.0509194	+	0.0226708i
$748$	−2.88761	−	8.88716i	−0.105582	−	0.324947i
$749$	6.73158	−	11.6594i	0.245966	−	0.426026i
$750$	−5.65526	−	9.79520i	−0.206501	−	0.357670i
$751$	23.3163	−	25.8954i	0.850824	−	0.944936i	−0.148206	−	0.988956i	$-0.547350\pi$
$751$	23.3163	−	25.8954i	0.850824	−	0.944936i	0.999031	+	0.0440202i	$0.0140166\pi$
$752$	1.43132	−	4.40514i	0.0521948	−	0.160639i
$753$	−10.4095	−	11.5609i	−0.379343	−	0.421303i
$754$	39.1623	−	17.4362i	1.42621	−	0.634988i
$755$	−48.2284	−	10.2513i	−1.75521	−	0.373082i
$756$	0.322523	−	3.06860i	0.0117300	−	0.111604i
$757$	0.885380	+	8.42383i	0.0321797	+	0.306169i	0.998759	+	0.0498019i	$0.0158590\pi$
$757$	0.885380	+	8.42383i	0.0321797	+	0.306169i	−0.966579	+	0.256367i	$0.917474\pi$
$758$	−24.4075	+	5.18797i	−0.886519	+	0.188435i
$759$	−5.78164	+	4.20061i	−0.209860	+	0.152472i
$760$	6.33964	−	4.60602i	0.229963	−	0.167078i
$761$	−10.3808	+	2.20652i	−0.376305	+	0.0799862i	−0.392182	−	0.919888i	$-0.628280\pi$
$761$	−10.3808	+	2.20652i	−0.376305	+	0.0799862i	0.0158763	+	0.999874i	$0.494946\pi$
$762$	−0.612574	−	5.82825i	−0.0221912	−	0.211135i
$763$	2.28424	−	21.7331i	0.0826949	−	0.786789i
$764$	−11.3543	−	2.41343i	−0.410784	−	0.0873149i
$765$	−11.1067	+	4.94502i	−0.401564	+	0.178788i
$766$	0.959449	+	1.06558i	0.0346663	+	0.0385008i
$767$	11.2474	−	34.6161i	0.406121	−	1.24991i
$768$	−0.669131	+	0.743145i	−0.0241452	+	0.0268159i
$769$	13.9389	+	24.1430i	0.502651	+	0.870618i	0.999995	+	0.00306420i	$0.000975366\pi$
$769$	13.9389	+	24.1430i	0.502651	+	0.870618i	−0.497344	+	0.867553i	$0.665691\pi$
$770$	5.78643	−	10.0224i	0.208529	−	0.361182i
$771$	−1.85772	−	5.71746i	−0.0669040	−	0.205909i
$772$	16.5937	+	7.38798i	0.597220	+	0.265899i
$773$	27.4773	+	19.9634i	0.988289	+	0.718034i	0.959546	−	0.281553i	$-0.0908494\pi$
$773$	27.4773	+	19.9634i	0.988289	+	0.718034i	0.0287435	+	0.999587i	$0.490849\pi$
$774$	−3.21373			−0.115515
$775$	−0.615736	−	0.260329i	−0.0221179	−	0.00935131i
$776$	−0.311454			−0.0111806
$777$	−22.9690	−	16.6879i	−0.824008	−	0.598677i
$778$	22.4508	+	9.99576i	0.804902	+	0.358365i
$779$	7.71909	+	23.7569i	0.276565	+	0.851179i
$780$	5.70528	−	9.88183i	0.204282	−	0.353826i
$781$	6.50031	+	11.2589i	0.232599	+	0.402874i
$782$	−15.5004	+	17.2150i	−0.554294	+	0.615606i
$783$	−2.56460	+	7.89303i	−0.0916514	+	0.282074i
$784$	1.68641	+	1.87295i	0.0602291	+	0.0668912i
$785$	−32.4242	+	14.4362i	−1.15727	+	0.515249i
$786$	−13.1128	−	2.78721i	−0.467719	−	0.0994166i
$787$	0.416759	−	3.96520i	0.0148559	−	0.141344i	−0.984580	−	0.174936i	$-0.944028\pi$
$787$	0.416759	−	3.96520i	0.0148559	−	0.141344i	0.999436	+	0.0335921i	$0.0106947\pi$
$788$	−0.674001	−	6.41269i	−0.0240103	−	0.228443i
$789$	10.8771	−	2.31199i	0.387234	−	0.0823091i
$790$	−13.4450	+	9.76834i	−0.478350	+	0.347542i
$791$	38.4790	−	27.9566i	1.36816	−	0.994023i
$792$	−1.66078	+	0.353010i	−0.0590134	+	0.0125437i
$793$	4.31533	+	41.0576i	0.153242	+	1.45800i
$794$	−1.64246	+	15.6269i	−0.0582886	+	0.554579i
$795$	−12.4647	−	2.64945i	−0.442077	−	0.0939665i
$796$	17.8349	−	7.94061i	0.632142	−	0.281448i
$797$	19.4991	+	21.6559i	0.690693	+	0.767092i	0.981866	−	0.189579i	$-0.0607122\pi$
$797$	19.4991	+	21.6559i	0.690693	+	0.767092i	−0.291173	+	0.956670i	$0.594046\pi$
$798$	−3.38227	+	10.4095i	−0.119731	+	0.368494i
$799$	17.0574	−	18.9441i	0.603447	−	0.670196i
$800$	−0.0600337	−	0.103982i	−0.00212251	−	0.00367630i
$801$	2.46523	−	4.26991i	0.0871047	−	0.150870i
$802$	−10.0489	−	30.9273i	−0.354838	−	1.09208i
$803$	−11.1458	−	4.96245i	−0.393328	−	0.175121i
$804$	−11.0910	−	8.05805i	−0.391148	−	0.284186i
$805$	−28.6891			−1.01116
$806$	−3.54557	−	28.5401i	−0.124887	−	1.00528i
$807$	−3.03648			−0.106889
$808$	7.23357	+	5.25549i	0.254476	+	0.184888i
$809$	1.15923	+	0.516120i	0.0407562	+	0.0181458i	0.427014	−	0.904245i	$-0.359566\pi$
$809$	1.15923	+	0.516120i	0.0407562	+	0.0181458i	−0.386257	+	0.922391i	$0.626232\pi$
$810$	0.682636	+	2.10094i	0.0239854	+	0.0738194i
$811$	−26.2964	+	45.5466i	−0.923390	+	1.59936i	−0.129260	+	0.991611i	$0.541260\pi$
$811$	−26.2964	+	45.5466i	−0.923390	+	1.59936i	−0.794130	+	0.607748i	$0.792073\pi$
$812$	−12.8036	−	22.1765i	−0.449319	−	0.778244i
$813$	12.3785	−	13.7477i	0.434134	−	0.482155i
$814$	−4.82780	+	14.8585i	−0.169214	+	0.520789i
$815$	13.2787	+	14.7474i	0.465131	+	0.516580i
$816$	−5.02780	+	2.23852i	−0.176008	+	0.0783639i
$817$	11.1510	+	2.37022i	0.390124	+	0.0829234i
$818$	−0.384527	+	3.65853i	−0.0134447	+	0.127917i
$819$	1.66594	+	15.8504i	0.0582127	+	0.553857i
$820$	−15.2158	+	3.23422i	−0.531359	+	0.112944i
$821$	−30.3011	+	22.0150i	−1.05751	+	0.768329i	−0.973627	−	0.228146i	$-0.926734\pi$
$821$	−30.3011	+	22.0150i	−1.05751	+	0.768329i	−0.0838876	+	0.996475i	$0.526734\pi$
$822$	9.89074	−	7.18604i	0.344979	−	0.250642i
$823$	26.8055	−	5.69769i	0.934382	−	0.198609i	0.284527	−	0.958668i	$-0.408163\pi$
$823$	26.8055	−	5.69769i	0.934382	−	0.198609i	0.649854	+	0.760059i	$0.274830\pi$
$824$	−0.756664	−	7.19917i	−0.0263596	−	0.250795i
$825$	0.0213093	−	0.202744i	0.000741894	−	0.00705865i
$826$	−21.2668	−	4.52039i	−0.739965	−	0.157284i
$827$	17.4591	−	7.77330i	0.607113	−	0.270304i	−0.0800693	−	0.996789i	$-0.525514\pi$
$827$	17.4591	−	7.77330i	0.607113	−	0.270304i	0.687182	+	0.726485i	$0.258848\pi$
$828$	2.81641	+	3.12794i	0.0978770	+	0.108703i
$829$	−8.77809	+	27.0162i	−0.304876	+	0.938311i	0.674848	+	0.737957i	$0.264209\pi$
$829$	−8.77809	+	27.0162i	−0.304876	+	0.938311i	−0.979724	+	0.200354i	$0.935791\pi$
$830$	2.25181	−	2.50088i	0.0781614	−	0.0868070i
$831$	−9.61347	−	16.6510i	−0.333487	−	0.577617i
$832$	2.58268	−	4.47333i	0.0895382	−	0.155085i
$833$	4.28631	+	13.1919i	0.148512	+	0.457073i
$834$	−14.1425	−	6.29667i	−0.489716	−	0.218036i
$835$	5.11767	+	3.71820i	0.177104	+	0.128674i
$836$	6.02294			0.208308
$837$	4.56539	+	3.18704i	0.157803	+	0.110160i
$838$	6.56999			0.226957
$839$	−6.84927	−	4.97628i	−0.236463	−	0.171800i	0.463243	−	0.886231i	$-0.346686\pi$
$839$	−6.84927	−	4.97628i	−0.236463	−	0.171800i	−0.699706	+	0.714431i	$0.746686\pi$
$840$	−6.22677	−	2.77233i	−0.214844	−	0.0956546i
$841$	12.3227	+	37.9254i	0.424921	+	1.30777i
$842$	−11.6903	+	20.2482i	−0.402875	+	0.697801i
$843$	−12.0393	−	20.8526i	−0.414655	−	0.718203i
$844$	−16.9739	+	18.8514i	−0.584265	+	0.648892i
$845$	−9.33905	+	28.7426i	−0.321273	+	0.988777i
$846$	−3.09931	−	3.44213i	−0.106556	−	0.118343i
$847$	−22.8803	+	10.1869i	−0.786175	+	0.350028i
$848$	−5.64254	−	1.19936i	−0.193766	−	0.0411862i
$849$	−0.810176	+	7.70831i	−0.0278052	+	0.264549i
$850$	−0.0690729	−	0.657185i	−0.00236918	−	0.0225413i
$851$	37.8833	−	8.05234i	1.29862	−	0.276031i
$852$	6.19460	−	4.50064i	0.212223	−	0.154189i
$853$	20.1045	−	14.6068i	0.688365	−	0.500126i	−0.187757	−	0.982215i	$-0.560122\pi$
$853$	20.1045	−	14.6068i	0.688365	−	0.500126i	0.876122	+	0.482089i	$0.160122\pi$
$854$	24.1218	−	5.12724i	0.825430	−	0.175451i
$855$	−0.819109	−	7.79330i	−0.0280129	−	0.266525i
$856$	−0.456096	+	4.33946i	−0.0155890	+	0.148320i
$857$	−0.645334	−	0.137170i	−0.0220442	−	0.00468563i	0.196876	−	0.980428i	$-0.436920\pi$
$857$	−0.645334	−	0.137170i	−0.0220442	−	0.00468563i	−0.218921	+	0.975743i	$0.570254\pi$
$858$	8.01196	−	3.56715i	0.273524	−	0.121781i
$859$	16.1414	+	17.9268i	0.550737	+	0.611656i	0.952667	−	0.304015i	$-0.0983272\pi$
$859$	16.1414	+	17.9268i	0.550737	+	0.611656i	−0.401930	+	0.915670i	$0.631660\pi$
$860$	−2.19381	+	6.75184i	−0.0748082	+	0.230236i
$861$	14.5385	−	16.1466i	0.495471	−	0.550276i
$862$	−10.7326	−	18.5894i	−0.365554	−	0.633157i
$863$	0.528194	−	0.914859i	0.0179799	−	0.0311422i	−0.856895	−	0.515490i	$-0.827610\pi$
$863$	0.528194	−	0.914859i	0.0179799	−	0.0311422i	0.874875	+	0.484348i	$0.160943\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	41.8057	+	18.6131i	1.42144	+	0.632864i
$866$	−18.0831	−	13.1381i	−0.614489	−	0.446452i
$867$	−13.2898			−0.451344
$868$	−16.7335	+	3.88836i	−0.567972	+	0.131980i
$869$	−12.7733			−0.433305
$870$	14.8321	+	10.7761i	0.502855	+	0.365345i
$871$	64.6907	+	28.8021i	2.19196	+	0.975923i
$872$	2.18858	+	6.73577i	0.0741148	+	0.228102i
$873$	−0.155727	+	0.269727i	−0.00527057	+	0.00912889i
$874$	−7.46543	−	12.9305i	−0.252522	−	0.437381i
$875$	23.3517	−	25.9347i	0.789432	−	0.876753i
$876$	−2.22053	+	6.83409i	−0.0750247	+	0.230902i
$877$	−14.2501	−	15.8263i	−0.481190	−	0.534416i	0.452848	−	0.891588i	$-0.350408\pi$
$877$	−14.2501	−	15.8263i	−0.481190	−	0.534416i	−0.934039	+	0.357171i	$0.883741\pi$
$878$	2.53002	−	1.12644i	0.0853841	−	0.0380154i
$879$	−13.5096	−	2.87155i	−0.455666	−	0.0968548i
$880$	−0.392058	+	3.73018i	−0.0132163	+	0.125744i
$881$	2.78238	+	26.4726i	0.0937407	+	0.891883i	0.935808	+	0.352510i	$0.114672\pi$
$881$	2.78238	+	26.4726i	0.0937407	+	0.891883i	−0.842067	+	0.539373i	$0.818661\pi$
$882$	2.46523	−	0.524001i	0.0830087	−	0.0176440i
$883$	−15.1583	+	11.0131i	−0.510117	+	0.370622i	−0.812868	−	0.582448i	$-0.802095\pi$
$883$	−15.1583	+	11.0131i	−0.510117	+	0.370622i	0.302751	+	0.953070i	$0.402095\pi$
$884$	22.9988	−	16.7096i	0.773534	−	0.562005i
$885$	15.2259	−	3.23636i	0.511813	−	0.108789i
$886$	−1.26659	−	12.0508i	−0.0425519	−	0.404855i
$887$	1.93895	−	18.4479i	0.0651036	−	0.619420i	−0.912516	−	0.409040i	$-0.865863\pi$
$887$	1.93895	−	18.4479i	0.0651036	−	0.619420i	0.977620	−	0.210379i	$-0.0674699\pi$
$888$	9.00043	+	1.91310i	0.302034	+	0.0641994i
$889$	16.5188	−	7.35466i	0.554024	−	0.246667i
$890$	−7.28795	−	8.09409i	−0.244293	−	0.271315i
$891$	−0.524676	+	1.61479i	−0.0175773	+	0.0540974i
$892$	8.75944	−	9.72834i	0.293288	−	0.325729i
$893$	8.21531	+	14.2293i	0.274915	+	0.476166i
$894$	−11.3604	+	19.6767i	−0.379948	+	0.658089i
$895$	2.68030	+	8.24912i	0.0895926	+	0.275738i
$896$	−2.81874	−	1.25499i	−0.0941676	−	0.0419261i
$897$	−17.5890	−	12.7792i	−0.587281	−	0.426685i
$898$	−5.39702			−0.180101
$899$	46.1999	−	0.872284i	1.54085	−	0.0290923i
$900$	−0.120067			−0.00400225
$901$	−25.6848	−	18.6611i	−0.855685	−	0.621691i
$902$	−10.9225	−	4.86301i	−0.363680	−	0.161921i
$903$	−3.06420	−	9.43063i	−0.101970	−	0.313832i
$904$	−7.70745	+	13.3497i	−0.256346	+	0.444004i
$905$	22.1748	+	38.4078i	0.737114	+	1.27672i
$906$	−14.9349	+	16.5869i	−0.496179	+	0.551062i
$907$	10.6507	−	32.7795i	0.353651	−	1.08843i	−0.603137	−	0.797638i	$-0.706083\pi$
$907$	10.6507	−	32.7795i	0.353651	−	1.08843i	0.956788	−	0.290788i	$-0.0939173\pi$
$908$	5.23941	+	5.81896i	0.173876	+	0.193109i
$909$	8.16818	−	3.63671i	0.270921	−	0.120622i
$910$	34.4379	+	7.32000i	1.14161	+	0.242656i
$911$	1.37988	−	13.1287i	0.0457176	−	0.434974i	−0.947591	−	0.319485i	$-0.896490\pi$
$911$	1.37988	−	13.1287i	0.0457176	−	0.434974i	0.993309	−	0.115489i	$-0.0368434\pi$
$912$	−0.370796	−	3.52789i	−0.0122783	−	0.116820i
$913$	2.53003	−	0.537775i	0.0837319	−	0.0177978i
$914$	−0.687535	+	0.499523i	−0.0227416	+	0.0165228i
$915$	−14.2838	+	10.3778i	−0.472208	+	0.343079i
$916$	25.2723	−	5.37179i	0.835020	−	0.177489i
$917$	−4.32366	−	41.1369i	−0.142780	−	1.35846i
$918$	−0.575284	+	5.47346i	−0.0189872	+	0.180651i
$919$	−24.2314	−	5.15054i	−0.799320	−	0.169901i	−0.209895	−	0.977724i	$-0.567312\pi$
$919$	−24.2314	−	5.15054i	−0.799320	−	0.169901i	−0.589425	+	0.807823i	$0.700646\pi$
$920$	8.49419	−	3.78186i	0.280045	−	0.124684i
$921$	8.51123	+	9.45267i	0.280454	+	0.311476i
$922$	9.01112	−	27.7334i	0.296765	−	0.913350i
$923$	−26.4647	+	29.3920i	−0.871095	+	0.967449i
$924$	−2.61941	−	4.53696i	−0.0861724	−	0.149255i
$925$	−0.552401	+	0.956786i	−0.0181628	+	0.0314589i
$926$	2.31826	+	7.13486i	0.0761826	+	0.234466i
$927$	−6.61300	−	2.94430i	−0.217199	−	0.0967034i
$928$	6.71422	+	4.87816i	0.220405	+	0.160134i
$929$	−22.2191			−0.728985			−0.364493	−	0.931206i	$-0.618758\pi$
$929$	−22.2191			−0.728985			−0.364493	+	0.931206i	$0.618758\pi$
$930$	9.81227	−	7.41602i	0.321757	−	0.243181i
$931$	−8.94033			−0.293008
$932$	1.60607	+	1.16688i	0.0526087	+	0.0382225i
$933$	20.7605	+	9.24316i	0.679667	+	0.302607i
$934$	−1.62408	−	4.99842i	−0.0531417	−	0.163553i
$935$	−10.3213	+	17.8770i	−0.337542	+	0.584640i
$936$	−2.58268	−	4.47333i	−0.0844174	−	0.146215i
$937$	10.9058	−	12.1121i	0.356276	−	0.395685i	−0.538188	−	0.842825i	$-0.680891\pi$
$937$	10.9058	−	12.1121i	0.356276	−	0.395685i	0.894464	+	0.447140i	$0.147558\pi$
$938$	13.0713	−	40.2294i	0.426794	−	1.31354i
$939$	−9.86527	−	10.9565i	−0.321941	−	0.357552i
$940$	−9.34740	+	4.16173i	−0.304879	+	0.135741i
$941$	−28.1614	−	5.98589i	−0.918036	−	0.195135i	−0.275421	−	0.961324i	$-0.588817\pi$
$941$	−28.1614	−	5.98589i	−0.918036	−	0.195135i	−0.642615	+	0.766189i	$0.722151\pi$
$942$	−1.67945	+	15.9789i	−0.0547194	+	0.520620i
$943$	3.09815	+	29.4769i	0.100890	+	0.959901i
$944$	6.89248	−	1.46504i	0.224331	−	0.0476831i
$945$	−5.51430	+	4.00637i	−0.179380	+	0.130327i
$946$	−4.41444	+	3.20728i	−0.143526	+	0.104278i
$947$	17.8162	−	3.78694i	0.578947	−	0.123059i	0.0908751	−	0.995862i	$-0.471034\pi$
$947$	17.8162	−	3.78694i	0.578947	−	0.123059i	0.488072	+	0.872803i	$0.337700\pi$
$948$	0.786375	+	7.48186i	0.0255403	+	0.242999i
$949$	3.87979	−	36.9138i	0.125943	−	1.19827i
$950$	0.416610	+	0.0885532i	0.0135166	+	0.00287305i
$951$	18.7887	−	8.36526i	0.609265	−	0.271262i
$952$	−11.3628	−	12.6196i	−0.368270	−	0.409005i
$953$	3.30792	−	10.1807i	0.107154	−	0.329786i	−0.883076	−	0.469230i	$-0.844531\pi$
$953$	3.30792	−	10.1807i	0.107154	−	0.329786i	0.990230	+	0.139444i	$0.0445315\pi$
$954$	−3.85995	+	4.28691i	−0.124970	+	0.138794i
$955$	12.8213	+	22.2072i	0.414888	+	0.718608i
$956$	15.1160	−	26.1816i	0.488885	−	0.846774i
$957$	4.35440	+	13.4015i	0.140758	+	0.433208i
$958$	31.0645	+	13.8308i	1.00365	+	0.446853i
$959$	30.5179	+	22.1725i	0.985473	+	0.715988i
$960$	2.20906			0.0712970
$961$	8.45979	−	29.8233i	0.272896	−	0.962043i
$962$	−47.5290			−1.53240
$963$	3.53003	+	2.56472i	0.113754	+	0.0826469i
$964$	9.20558	+	4.09859i	0.296492	+	0.132007i
$965$	−12.3994	−	38.1615i	−0.399152	−	1.22846i
$966$	−6.49352	+	11.2471i	−0.208926	+	0.361870i
$967$	−11.1903	−	19.3822i	−0.359857	−	0.623290i	0.628080	−	0.778149i	$-0.283841\pi$
$967$	−11.1903	−	19.3822i	−0.359857	−	0.623290i	−0.987937	+	0.154859i	$0.950508\pi$
$968$	5.43145	−	6.03224i	0.174574	−	0.193884i
$969$	6.03296	−	18.5675i	0.193807	−	0.596475i
$970$	0.460375	+	0.511299i	0.0147818	+	0.0164168i
$971$	55.4164	−	24.6730i	1.77840	−	0.791794i	0.795923	−	0.605398i	$-0.206986\pi$
$971$	55.4164	−	24.6730i	1.77840	−	0.791794i	0.982475	−	0.186396i	$-0.0596806\pi$
$972$	0.978148	+	0.207912i	0.0313741	+	0.00666877i
$973$	4.99295	−	47.5048i	0.160067	−	1.52293i
$974$	−1.14630	−	10.9063i	−0.0367297	−	0.349460i
$975$	0.606638	−	0.128945i	0.0194280	−	0.00412954i
$976$	−6.46602	+	4.69784i	−0.206972	+	0.150374i
$977$	−13.2765	+	9.64595i	−0.424753	+	0.308601i	−0.779548	−	0.626343i	$-0.784551\pi$
$977$	−13.2765	+	9.64595i	−0.424753	+	0.308601i	0.354794	+	0.934944i	$0.384551\pi$
$978$	8.78700	−	1.86773i	0.280977	−	0.0597236i
$979$	−0.875046	−	8.32551i	−0.0279666	−	0.266084i
$980$	0.581962	−	5.53700i	0.0185901	−	0.176873i
$981$	6.92764	+	1.47252i	0.221183	+	0.0470138i
$982$	2.58004	−	1.14871i	0.0823324	−	0.0366567i
$983$	27.8128	+	30.8892i	0.887091	+	0.985214i	0.999965	−	0.00839542i	$-0.00267238\pi$
$983$	27.8128	+	30.8892i	0.887091	+	0.985214i	−0.112874	+	0.993609i	$0.536006\pi$
$984$	−2.17603	+	6.69714i	−0.0693694	+	0.213497i
$985$	−9.53111	+	10.5854i	−0.303686	+	0.337278i
$986$	22.8379	+	39.5563i	0.727306	+	1.25973i
$987$	7.14577	−	12.3768i	0.227452	−	0.393959i
$988$	5.66216	+	17.4263i	0.180137	+	0.554406i
$989$	12.3573	+	5.50183i	0.392940	+	0.174948i
$990$	3.03440	+	2.20462i	0.0964397	+	0.0700675i
$991$	9.65314			0.306642			0.153321	−	0.988176i	$-0.451003\pi$
$991$	9.65314			0.306642			0.153321	+	0.988176i	$0.451003\pi$
$992$	4.44183	−	3.35710i	0.141028	−	0.106588i
$993$	−18.6548			−0.591993
$994$	19.1134	+	13.8867i	0.606241	+	0.440460i
$995$	−39.3983	−	17.5413i	−1.24901	−	0.556095i
$996$	−0.470756	−	1.44884i	−0.0149165	−	0.0459082i
$997$	29.2774	−	50.7099i	0.927223	−	1.60600i	0.139277	−	0.990253i	$-0.455522\pi$
$997$	29.2774	−	50.7099i	0.927223	−	1.60600i	0.787946	−	0.615744i	$-0.211144\pi$
$998$	−11.7393	−	20.3331i	−0.371601	−	0.643632i
$999$	6.15701	−	6.83805i	0.194799	−	0.216346i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	186.2.m.b.19.1	✓	8
3.2	odd	2		558.2.ba.a.19.1		8
31.7	even	15		5766.2.a.w.1.2		4
31.18	even	15	inner	186.2.m.b.49.1	yes	8
31.24	odd	30		5766.2.a.z.1.2		4
93.80	odd	30		558.2.ba.a.235.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
186.2.m.b.19.1	✓	8	1.1	even	1	trivial
186.2.m.b.49.1	yes	8	31.18	even	15	inner
558.2.ba.a.19.1		8	3.2	odd	2
558.2.ba.a.235.1		8	93.80	odd	30
5766.2.a.w.1.2		4	31.7	even	15
5766.2.a.z.1.2		4	31.24	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 186 = 2 \cdot 3 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	186.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.913545 - 0.406737i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.10453 - 1.91310i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(2.06460 - 2.29297i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.669131 + 0.743145i) q^{9} +(2.01807 - 0.898504i) q^{10} +(1.66078 + 0.353010i) q^{11} +(0.104528 - 0.994522i) q^{12} +(0.539926 + 5.13706i) q^{13} +(3.01807 - 0.641511i) q^{14} +(-1.78716 + 1.29845i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-5.38335 + 1.14427i) q^{17} +(0.104528 + 0.994522i) q^{18} +(0.370796 - 3.52789i) q^{19} +(2.16078 + 0.459289i) q^{20} +(-2.81874 + 1.25499i) q^{21} +(1.13611 + 1.26178i) q^{22} +(1.30067 - 4.00305i) q^{23} +(0.669131 - 0.743145i) q^{24} +(0.0600337 + 0.103982i) q^{25} +(-2.58268 + 4.47333i) q^{26} +(-0.309017 - 0.951057i) q^{27} +(2.81874 + 1.25499i) q^{28} +(-6.71422 - 4.87816i) q^{29} -2.20906 q^{30} +(-4.44183 + 3.35710i) q^{31} -1.00000 q^{32} +(-1.37362 - 0.997993i) q^{33} +(-5.02780 - 2.23852i) q^{34} +(-2.10627 - 6.48244i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(4.60075 + 7.96873i) q^{37} +(2.37362 - 2.63617i) q^{38} +(1.59618 - 4.91254i) q^{39} +(1.47815 + 1.64165i) q^{40} +(-6.43300 + 2.86416i) q^{41} +(-3.01807 - 0.641511i) q^{42} +(-0.335926 + 3.19612i) q^{43} +(0.177477 + 1.68859i) q^{44} +(2.16078 - 0.459289i) q^{45} +(3.40520 - 2.47402i) q^{46} +(-3.74724 + 2.72253i) q^{47} +(0.978148 - 0.207912i) q^{48} +(-0.263444 - 2.50650i) q^{49} +(-0.0125505 + 0.119410i) q^{50} +(5.38335 + 1.14427i) q^{51} +(-4.71878 + 2.10094i) q^{52} +(3.85995 + 4.28691i) q^{53} +(0.309017 - 0.951057i) q^{54} +(2.50973 - 2.78733i) q^{55} +(1.54275 + 2.67212i) q^{56} +(-1.77366 + 3.07207i) q^{57} +(-2.56460 - 7.89303i) q^{58} +(-6.43727 - 2.86606i) q^{59} +(-1.78716 - 1.29845i) q^{60} +7.99244 q^{61} +(-5.56677 + 0.105104i) q^{62} +3.08550 q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.4241 + 4.64109i) q^{65} +(-0.524676 - 1.61479i) q^{66} +(6.85459 - 11.8725i) q^{67} +(-2.75181 - 4.76627i) q^{68} +(-2.81641 + 3.12794i) q^{69} +(2.10627 - 6.48244i) q^{70} +(5.12349 + 5.69022i) q^{71} +(-0.913545 + 0.406737i) q^{72} +(-7.02876 - 1.49401i) q^{73} +(-0.961819 + 9.15109i) q^{74} +(-0.0125505 - 0.119410i) q^{75} +(3.46980 - 0.737529i) q^{76} +(4.23830 - 3.07931i) q^{77} +(4.17886 - 3.03612i) q^{78} +(-7.35867 + 1.56413i) q^{79} +(0.230909 + 2.19696i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(-6.88791 - 1.46407i) q^{82} +(1.39169 - 0.619622i) q^{83} +(-2.06460 - 2.29297i) q^{84} +(-3.75697 + 11.5628i) q^{85} +(-2.15040 + 2.38826i) q^{86} +(4.14961 + 7.18734i) q^{87} +(-0.848943 + 1.47041i) q^{88} +(-1.52360 - 4.68915i) q^{89} +(2.01807 + 0.898504i) q^{90} +(12.8939 + 9.36794i) q^{91} +4.20906 q^{92} +(5.42327 - 1.26020i) q^{93} -4.63184 q^{94} +(-6.33964 - 4.60602i) q^{95} +(0.913545 + 0.406737i) q^{96} +(0.0962447 + 0.296211i) q^{97} +(1.26015 - 2.18265i) q^{98} +(0.848943 + 1.47041i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 7 q^{5} - 4 q^{6} + 14 q^{7} + 2 q^{8} + q^{9} + 8 q^{10} - 7 q^{11} - q^{12} + 5 q^{13} + 16 q^{14} - q^{15} - 2 q^{16} - 12 q^{17} - q^{18} + 8 q^{19} - 3 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 7 * q^5 - 4 * q^6 + 14 * q^7 + 2 * q^8 + q^9 + 8 * q^10 - 7 * q^11 - q^12 + 5 * q^13 + 16 * q^14 - q^15 - 2 * q^16 - 12 * q^17 - q^18 + 8 * q^19 - 3 * q^20 + 6 * q^21 - 8 * q^22 - 10 * q^23 + q^24 - q^25 - 10 * q^26 + 2 * q^27 - 6 * q^28 - 27 * q^29 - 14 * q^30 + 4 * q^31 - 8 * q^32 - 4 * q^33 - 8 * q^34 - 26 * q^35 - 4 * q^36 + 18 * q^37 + 12 * q^38 - 5 * q^39 + 3 * q^40 + 3 * q^41 - 16 * q^42 - 5 * q^43 + 13 * q^44 - 3 * q^45 + 5 * q^46 - 16 * q^47 - q^48 - 21 * q^49 + 36 * q^50 + 12 * q^51 - 10 * q^52 - 16 * q^53 - 2 * q^54 - 4 * q^55 + q^56 - 8 * q^57 - 18 * q^58 - 13 * q^59 - q^60 + 30 * q^61 + 16 * q^62 + 2 * q^63 - 2 * q^64 + 35 * q^65 - q^66 + 27 * q^67 - 7 * q^68 - 5 * q^69 + 26 * q^70 - 8 * q^71 - q^72 - 53 * q^73 - 18 * q^74 + 36 * q^75 + 3 * q^76 + 26 * q^77 + 5 * q^78 - 31 * q^79 + 7 * q^80 + q^81 - 23 * q^82 - 4 * q^83 - 14 * q^84 + 8 * q^85 + 25 * q^86 + 9 * q^87 - 3 * q^88 - 32 * q^89 + 8 * q^90 + 30 * q^91 + 30 * q^92 + 13 * q^93 - 4 * q^94 - 2 * q^95 + q^96 + 51 * q^97 + 11 * q^98 + 3 * q^99

Introduction

L-functions

Modular forms

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Database

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