LMFDB - Embedded newform 66.2.h.b.35.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [66,2,Mod(17,66)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(66, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 9]))

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

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

chi := DirichletCharacter("66.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 66 = 2 \cdot 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	66.h (of order $10$, degree $4$, 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:	$0.527012653340$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{10})$
Coefficient field:	8.0.185640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + x^{6} + x^{5} + 4x^{4} + 3x^{3} + 9x^{2} - 81x + 81 $ x^8 - 3x^7 + x^6 + x^5 + 4x^4 + 3x^3 + 9x^2 - 81*x + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			35.1
Root			$1.55470 - 0.763481i$ of defining polynomial
Character	$\chi$	$=$	66.35
Dual form			66.2.h.b.17.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(0.809017 - 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.01556 - 0.654895i) q^{5} +(1.20654 + 1.24268i) q^{6} +(-2.01556 + 2.77418i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 - 2.47802i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 - 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.01556 - 0.654895i) q^{5} +(1.20654 + 1.24268i) q^{6} +(-2.01556 + 2.77418i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 - 2.47802i) q^{9} +2.11929i q^{10} +(-0.960858 + 3.17439i) q^{11} +(-1.55470 + 0.763481i) q^{12} +(-1.79505 - 0.583248i) q^{13} +(-2.01556 - 2.77418i) q^{14} +(0.627650 - 3.61665i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-1.59384 - 4.90534i) q^{17} +(2.87928 - 0.842471i) q^{18} +(-0.141616 - 0.194917i) q^{19} +(-2.01556 - 0.654895i) q^{20} +(2.61803 + 5.33119i) q^{21} +(-2.72210 - 1.89477i) q^{22} +4.97072i q^{23} +(-0.245684 - 1.71454i) q^{24} +(-0.411491 + 0.298966i) q^{25} +(1.10940 - 1.52696i) q^{26} +(-5.16312 + 0.584981i) q^{27} +(3.26124 - 1.05964i) q^{28} +(3.37235 + 2.45016i) q^{29} +(3.24568 + 1.71454i) q^{30} +(2.02518 - 6.23285i) q^{31} -1.00000 q^{32} +(4.08423 + 4.03969i) q^{33} +5.15778 q^{34} +(-2.24568 + 6.91151i) q^{35} +(-0.0885088 + 2.99869i) q^{36} +(7.14052 + 5.18789i) q^{37} +(0.229139 - 0.0744518i) q^{38} +(-2.34547 + 2.27726i) q^{39} +(1.24568 - 1.71454i) q^{40} +(6.42001 - 4.66441i) q^{41} +(-5.87928 + 0.842471i) q^{42} -6.51583i q^{43} +(2.64321 - 2.00336i) q^{44} +(-5.03112 - 3.88718i) q^{45} +(-4.72744 - 1.53604i) q^{46} +(-1.98077 - 2.72629i) q^{47} +(1.70654 + 0.296161i) q^{48} +(-1.47047 - 4.52566i) q^{49} +(-0.157176 - 0.483737i) q^{50} +(-8.80198 - 1.52754i) q^{51} +(1.10940 + 1.52696i) q^{52} +(-5.91040 - 1.92040i) q^{53} +(1.03914 - 5.09119i) q^{54} +(0.142225 + 7.02743i) q^{55} +3.42908i q^{56} +(-0.413086 + 0.0591931i) q^{57} +(-3.37235 + 2.45016i) q^{58} +(1.62931 - 2.24256i) q^{59} +(-2.63359 + 2.55701i) q^{60} +(1.53975 - 0.500295i) q^{61} +(5.30198 + 3.85211i) q^{62} +(10.2827 + 0.303503i) q^{63} +(0.309017 - 0.951057i) q^{64} -4.00000 q^{65} +(-5.10407 + 2.63600i) q^{66} -9.98396 q^{67} +(-1.59384 + 4.90534i) q^{68} +(7.61266 + 4.02140i) q^{69} +(-5.87928 - 4.27155i) q^{70} +(9.47214 - 3.07768i) q^{71} +(-2.82458 - 1.01082i) q^{72} +(-1.45756 + 2.00616i) q^{73} +(-7.14052 + 5.18789i) q^{74} +(0.124963 + 0.872067i) q^{75} +0.240931i q^{76} +(-6.86966 - 9.06377i) q^{77} +(-1.44102 - 2.93439i) q^{78} +(10.7741 + 3.50072i) q^{79} +(1.24568 + 1.71454i) q^{80} +(-3.28115 + 8.38057i) q^{81} +(2.45223 + 7.54718i) q^{82} +(-2.12232 - 6.53182i) q^{83} +(1.01556 - 5.85186i) q^{84} +(-6.42497 - 8.84322i) q^{85} +(6.19693 + 2.01350i) q^{86} +(6.48070 - 3.18254i) q^{87} +(1.08851 + 3.13291i) q^{88} +2.47254i q^{89} +(5.25163 - 3.58367i) q^{90} +(5.23607 - 3.80423i) q^{91} +(2.92172 - 4.02140i) q^{92} +(-7.90721 - 8.14404i) q^{93} +(3.20495 - 1.04135i) q^{94} +(-0.413086 - 0.300124i) q^{95} +(-0.809017 + 1.53150i) q^{96} +(-4.08582 + 12.5749i) q^{97} +4.75856 q^{98} +(9.49099 - 2.98681i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/66\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$-1$

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 $

$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$3$	0.809017	−	1.53150i	0.467086	−	0.884212i
$3$	0.809017	−	1.53150i	0.467086	−	0.884212i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	2.01556	−	0.654895i	0.901386	−	0.292878i	0.178577	−	0.983926i	$-0.442851\pi$
$5$	2.01556	−	0.654895i	0.901386	−	0.292878i	0.722809	+	0.691048i	$0.242851\pi$
$6$	1.20654	+	1.24268i	0.492569	+	0.507322i
$7$	−2.01556	+	2.77418i	−0.761810	+	1.04854i	0.235251	+	0.971935i	$0.424409\pi$
$7$	−2.01556	+	2.77418i	−0.761810	+	1.04854i	−0.997061	+	0.0766070i	$0.975591\pi$
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	−1.69098	−	2.47802i	−0.563661	−	0.826006i
$10$			2.11929i			0.670177i
$11$	−0.960858	+	3.17439i	−0.289710	+	0.957115i
$11$	−0.960858	+	3.17439i	−0.289710	+	0.957115i
$12$	−1.55470	+	0.763481i	−0.448804	+	0.220398i
$13$	−1.79505	−	0.583248i	−0.497858	−	0.161764i	0.0493154	−	0.998783i	$-0.484296\pi$
$13$	−1.79505	−	0.583248i	−0.497858	−	0.161764i	−0.547173	+	0.837019i	$0.684296\pi$
$14$	−2.01556	−	2.77418i	−0.538681	−	0.741431i
$15$	0.627650	−	3.61665i	0.162059	−	0.933815i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−1.59384	−	4.90534i	−0.386564	−	1.18972i	−0.935340	−	0.353751i	$-0.884906\pi$
$17$	−1.59384	−	4.90534i	−0.386564	−	1.18972i	0.548776	−	0.835970i	$-0.315094\pi$
$18$	2.87928	−	0.842471i	0.678652	−	0.198572i
$19$	−0.141616	−	0.194917i	−0.0324889	−	0.0447171i	0.792464	−	0.609919i	$-0.208798\pi$
$19$	−0.141616	−	0.194917i	−0.0324889	−	0.0447171i	−0.824952	+	0.565202i	$0.808798\pi$
$20$	−2.01556	−	0.654895i	−0.450693	−	0.146439i
$21$	2.61803	+	5.33119i	0.571302	+	1.16336i
$22$	−2.72210	−	1.89477i	−0.580354	−	0.403967i
$23$			4.97072i			1.03647i	0.855239	+	0.518234i	$0.173410\pi$
$23$			4.97072i			1.03647i	−0.855239	+	0.518234i	$0.826590\pi$
$24$	−0.245684	−	1.71454i	−0.0501501	−	0.349979i
$25$	−0.411491	+	0.298966i	−0.0822982	+	0.0597932i
$26$	1.10940	−	1.52696i	0.217572	−	0.299462i
$27$	−5.16312	+	0.584981i	−0.993643	+	0.112580i
$28$	3.26124	−	1.05964i	0.616317	−	0.200254i
$29$	3.37235	+	2.45016i	0.626230	+	0.454982i	0.855092	−	0.518476i	$-0.173501\pi$
$29$	3.37235	+	2.45016i	0.626230	+	0.454982i	−0.228862	+	0.973459i	$0.573501\pi$
$30$	3.24568	+	1.71454i	0.592578	+	0.313030i
$31$	2.02518	−	6.23285i	0.363732	−	1.11945i	−0.587039	−	0.809559i	$-0.699706\pi$
$31$	2.02518	−	6.23285i	0.363732	−	1.11945i	0.950771	−	0.309894i	$-0.100294\pi$
$32$	−1.00000			−0.176777
$33$	4.08423	+	4.03969i	0.710973	+	0.703220i
$34$	5.15778			0.884553
$35$	−2.24568	+	6.91151i	−0.379590	+	1.16826i
$36$	−0.0885088	+	2.99869i	−0.0147515	+	0.499782i
$37$	7.14052	+	5.18789i	1.17389	+	0.852884i	0.991470	−	0.130335i	$-0.0416054\pi$
$37$	7.14052	+	5.18789i	1.17389	+	0.852884i	0.182425	+	0.983220i	$0.441605\pi$
$38$	0.229139	−	0.0744518i	0.0371713	−	0.0120777i
$39$	−2.34547	+	2.27726i	−0.375576	+	0.364654i
$40$	1.24568	−	1.71454i	0.196960	−	0.271092i
$41$	6.42001	−	4.66441i	1.00264	−	0.728459i	0.0399856	−	0.999200i	$-0.487269\pi$
$41$	6.42001	−	4.66441i	1.00264	−	0.728459i	0.962652	+	0.270741i	$0.0872688\pi$
$42$	−5.87928	+	0.842471i	−0.907192	+	0.129996i
$43$		−	6.51583i		−	0.993655i	−0.867849	−	0.496828i	$-0.834498\pi$
$43$		−	6.51583i		−	0.993655i	0.867849	−	0.496828i	$-0.165502\pi$
$44$	2.64321	−	2.00336i	0.398479	−	0.302017i
$45$	−5.03112	−	3.88718i	−0.749995	−	0.579466i
$46$	−4.72744	−	1.53604i	−0.697023	−	0.226476i
$47$	−1.98077	−	2.72629i	−0.288925	−	0.397671i	0.639740	−	0.768591i	$-0.279042\pi$
$47$	−1.98077	−	2.72629i	−0.288925	−	0.397671i	−0.928664	+	0.370921i	$0.879042\pi$
$48$	1.70654	+	0.296161i	0.246318	+	0.0427472i
$49$	−1.47047	−	4.52566i	−0.210068	−	0.646522i
$50$	−0.157176	−	0.483737i	−0.0222280	−	0.0684107i
$51$	−8.80198	−	1.52754i	−1.23252	−	0.213898i
$52$	1.10940	+	1.52696i	0.153847	+	0.211752i
$53$	−5.91040	−	1.92040i	−0.811856	−	0.263788i	−0.126472	−	0.991970i	$-0.540365\pi$
$53$	−5.91040	−	1.92040i	−0.811856	−	0.263788i	−0.685384	+	0.728182i	$0.740365\pi$
$54$	1.03914	−	5.09119i	0.141409	−	0.692823i
$55$	0.142225	+	7.02743i	0.0191776	+	0.947579i
$56$			3.42908i			0.458229i
$57$	−0.413086	+	0.0591931i	−0.0547145	+	0.00784031i
$58$	−3.37235	+	2.45016i	−0.442811	+	0.321721i
$59$	1.62931	−	2.24256i	0.212118	−	0.291956i	−0.689679	−	0.724115i	$-0.742248\pi$
$59$	1.62931	−	2.24256i	0.212118	−	0.291956i	0.901797	+	0.432160i	$0.142248\pi$
$60$	−2.63359	+	2.55701i	−0.339995	+	0.330108i
$61$	1.53975	−	0.500295i	0.197145	−	0.0640563i	−0.208780	−	0.977963i	$-0.566949\pi$
$61$	1.53975	−	0.500295i	0.197145	−	0.0640563i	0.405925	+	0.913906i	$0.366949\pi$
$62$	5.30198	+	3.85211i	0.673352	+	0.489219i
$63$	10.2827	+	0.303503i	1.29550	+	0.0382378i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−4.00000			−0.496139
$66$	−5.10407	+	2.63600i	−0.628267	+	0.324469i
$67$	−9.98396			−1.21973			−0.609867	−	0.792504i	$-0.708777\pi$
$67$	−9.98396			−1.21973			−0.609867	+	0.792504i	$0.708777\pi$
$68$	−1.59384	+	4.90534i	−0.193282	+	0.594860i
$69$	7.61266	+	4.02140i	0.916456	+	0.484119i
$70$	−5.87928	−	4.27155i	−0.702708	−	0.510547i
$71$	9.47214	−	3.07768i	1.12414	−	0.365254i	0.312791	−	0.949822i	$-0.398736\pi$
$71$	9.47214	−	3.07768i	1.12414	−	0.365254i	0.811345	+	0.584568i	$0.198736\pi$
$72$	−2.82458	−	1.01082i	−0.332880	−	0.119127i
$73$	−1.45756	+	2.00616i	−0.170595	+	0.234803i	−0.885751	−	0.464162i	$-0.846356\pi$
$73$	−1.45756	+	2.00616i	−0.170595	+	0.234803i	0.715156	+	0.698965i	$0.246356\pi$
$74$	−7.14052	+	5.18789i	−0.830069	+	0.603080i
$75$	0.124963	+	0.872067i	0.0144295	+	0.100698i
$76$			0.240931i			0.0276367i
$77$	−6.86966	−	9.06377i	−0.782871	−	1.03291i
$78$	−1.44102	−	2.93439i	−0.163163	−	0.332254i
$79$	10.7741	+	3.50072i	1.21218	+	0.393862i	0.844229	−	0.535982i	$-0.180059\pi$
$79$	10.7741	+	3.50072i	1.21218	+	0.393862i	0.367953	+	0.929844i	$0.380059\pi$
$80$	1.24568	+	1.71454i	0.139272	+	0.191691i
$81$	−3.28115	+	8.38057i	−0.364573	+	0.931175i
$82$	2.45223	+	7.54718i	0.270803	+	0.833447i
$83$	−2.12232	−	6.53182i	−0.232954	−	0.716960i	−0.997386	−	0.0722554i	$-0.976980\pi$
$83$	−2.12232	−	6.53182i	−0.232954	−	0.716960i	0.764432	−	0.644705i	$-0.223020\pi$
$84$	1.01556	−	5.85186i	0.110807	−	0.638491i
$85$	−6.42497	−	8.84322i	−0.696886	−	0.959181i
$86$	6.19693	+	2.01350i	0.668232	+	0.217122i
$87$	6.48070	−	3.18254i	0.694804	−	0.341204i
$88$	1.08851	+	3.13291i	0.116035	+	0.333970i
$89$			2.47254i			0.262088i	0.991377	+	0.131044i	$0.0418330\pi$
$89$			2.47254i			0.262088i	−0.991377	+	0.131044i	$0.958167\pi$
$90$	5.25163	−	3.58367i	0.553570	−	0.377753i
$91$	5.23607	−	3.80423i	0.548889	−	0.398791i
$92$	2.92172	−	4.02140i	0.304610	−	0.419260i
$93$	−7.90721	−	8.14404i	−0.819939	−	0.844498i
$94$	3.20495	−	1.04135i	0.330565	−	0.107407i
$95$	−0.413086	−	0.300124i	−0.0423817	−	0.0307921i
$96$	−0.809017	+	1.53150i	−0.0825700	+	0.156308i
$97$	−4.08582	+	12.5749i	−0.414852	+	1.27678i	0.497531	+	0.867446i	$0.334240\pi$
$97$	−4.08582	+	12.5749i	−0.414852	+	1.27678i	−0.912383	+	0.409338i	$0.865760\pi$
$98$	4.75856			0.480687
$99$	9.49099	−	2.98681i	0.953881	−	0.300186i
$100$	0.508631			0.0508631
$101$	−0.760259	+	2.33984i	−0.0756486	+	0.232822i	−0.981729	−	0.190282i	$-0.939060\pi$
$101$	−0.760259	+	2.33984i	−0.0756486	+	0.232822i	0.906081	+	0.423105i	$0.139060\pi$
$102$	4.17274	−	7.89915i	0.413162	−	0.782132i
$103$	3.72914	+	2.70938i	0.367443	+	0.266963i	0.756150	−	0.654399i	$-0.227078\pi$
$103$	3.72914	+	2.70938i	0.367443	+	0.266963i	−0.388707	+	0.921361i	$0.627078\pi$
$104$	−1.79505	+	0.583248i	−0.176019	+	0.0571921i
$105$	8.76817	+	9.03079i	0.855686	+	0.881315i
$106$	3.65283	−	5.02768i	0.354794	−	0.488332i
$107$	−14.6716	+	10.6596i	−1.41836	+	1.03050i	−0.426322	+	0.904572i	$0.640191\pi$
$107$	−14.6716	+	10.6596i	−1.41836	+	1.03050i	−0.992039	+	0.125928i	$0.959809\pi$
$108$	4.52089	+	2.56155i	0.435023	+	0.246485i
$109$			0.702783i			0.0673144i	0.999433	+	0.0336572i	$0.0107154\pi$
$109$			0.702783i			0.0673144i	−0.999433	+	0.0336572i	$0.989285\pi$
$110$	−6.72744	−	2.03633i	−0.641436	−	0.194157i
$111$	13.7221	−	6.73861i	1.30244	−	0.639601i
$112$	−3.26124	−	1.05964i	−0.308159	−	0.100127i
$113$	−2.51821	−	3.46601i	−0.236893	−	0.326055i	0.673974	−	0.738755i	$-0.264586\pi$
$113$	−2.51821	−	3.46601i	−0.236893	−	0.326055i	−0.910867	+	0.412700i	$0.864586\pi$
$114$	0.0713545	−	0.411159i	0.00668296	−	0.0385086i
$115$	3.25530	+	10.0188i	0.303558	+	0.934257i
$116$	−1.28812	−	3.96443i	−0.119599	−	0.368089i
$117$	1.59010	+	5.43443i	0.147005	+	0.502414i
$118$	1.62931	+	2.24256i	0.149990	+	0.206444i
$119$	16.8208	+	5.46541i	1.54196	+	0.501013i
$120$	−1.61803	−	3.29486i	−0.147706	−	0.300778i
$121$	−9.15350	−	6.10028i	−0.832137	−	0.554571i
$122$			1.61899i			0.146576i
$123$	−1.94965	−	13.6058i	−0.175794	−	1.22680i
$124$	−5.30198	+	3.85211i	−0.476132	+	0.345930i
$125$	−6.86202	+	9.44475i	−0.613757	+	0.844765i
$126$	−3.46619	+	9.68569i	−0.308793	+	0.862870i
$127$	−16.6803	+	5.41975i	−1.48013	+	0.480925i	−0.934153	−	0.356872i	$-0.883843\pi$
$127$	−16.6803	+	5.41975i	−1.48013	+	0.480925i	−0.545982	+	0.837797i	$0.683843\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	−9.97900	−	5.27142i	−0.878602	−	0.464123i
$130$	1.23607	−	3.80423i	0.108410	−	0.333653i
$131$	−4.82298			−0.421386			−0.210693	−	0.977552i	$-0.567572\pi$
$131$	−4.82298			−0.421386			−0.210693	+	0.977552i	$0.567572\pi$
$132$	−0.929739	−	5.66883i	−0.0809234	−	0.493408i
$133$	0.826171			0.0716381
$134$	3.08521	−	9.49531i	0.266522	−	0.820270i
$135$	−10.0235	+	4.56037i	−0.862683	+	0.392494i
$136$	−4.17274	−	3.03167i	−0.357809	−	0.259964i
$137$	17.1743	−	5.58026i	1.46730	−	0.476754i	0.537008	−	0.843577i	$-0.319555\pi$
$137$	17.1743	−	5.58026i	1.46730	−	0.476754i	0.930291	+	0.366823i	$0.119555\pi$
$138$	−6.17702	+	5.99739i	−0.525823	+	0.510532i
$139$	0.581539	−	0.800420i	0.0493255	−	0.0678907i	−0.783642	−	0.621213i	$-0.786640\pi$
$139$	0.581539	−	0.800420i	0.0493255	−	0.0678907i	0.832967	+	0.553322i	$0.186640\pi$
$140$	5.87928	−	4.27155i	0.496890	−	0.361012i
$141$	−5.77779	+	0.827928i	−0.486578	+	0.0697241i
$142$			9.95959i			0.835790i
$143$	3.57625	−	5.13778i	0.299061	−	0.429642i
$144$	1.83419	−	2.37397i	0.152849	−	0.197831i
$145$	8.40177	+	2.72990i	0.697729	+	0.226706i
$146$	−1.45756	−	2.00616i	−0.120629	−	0.166031i
$147$	−8.12068	−	1.40930i	−0.669782	−	0.116237i
$148$	−2.72744	−	8.39419i	−0.224194	−	0.689998i
$149$	4.32227	+	13.3026i	0.354094	+	1.08979i	0.956533	+	0.291624i	$0.0941956\pi$
$149$	4.32227	+	13.3026i	0.354094	+	1.08979i	−0.602439	+	0.798165i	$0.705804\pi$
$150$	−0.868001	−	0.150637i	−0.0708720	−	0.0122995i
$151$	−3.71979	−	5.11985i	−0.302712	−	0.416648i	0.630379	−	0.776288i	$-0.282900\pi$
$151$	−3.71979	−	5.11985i	−0.302712	−	0.416648i	−0.933091	+	0.359640i	$0.882900\pi$
$152$	−0.229139	−	0.0744518i	−0.0185856	−	0.00603884i
$153$	−9.46037	+	12.2444i	−0.764826	+	0.989903i
$154$	10.7430	−	3.73258i	0.865695	−	0.300780i
$155$		−	13.8890i		−	1.11559i
$156$	3.23607	−	0.463712i	0.259093	−	0.0371267i
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	−0.461601	−	0.887087i	$-0.652725\pi$
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	0.701028	+	0.713134i	$0.252725\pi$
$158$	−6.65877	+	9.16501i	−0.529743	+	0.729129i
$159$	−7.72271	+	7.49813i	−0.612451	+	0.594641i
$160$	−2.01556	+	0.654895i	−0.159344	+	0.0517740i
$161$	−13.7897	−	10.0188i	−1.08678	−	0.789591i
$162$	−6.95647	−	5.71030i	−0.546552	−	0.448644i
$163$	2.64222	−	8.13193i	0.206955	−	0.636942i	−0.792672	−	0.609648i	$-0.791311\pi$
$163$	2.64222	−	8.13193i	0.206955	−	0.636942i	0.999627	−	0.0272943i	$-0.00868912\pi$
$164$	−7.93557			−0.619664
$165$	10.8776	+	5.46750i	0.846818	+	0.425644i
$166$	6.86796			0.533057
$167$	−0.508631	+	1.56541i	−0.0393591	+	0.121135i	−0.968805	−	0.247822i	$-0.920285\pi$
$167$	−0.508631	+	1.56541i	−0.0393591	+	0.121135i	0.929446	+	0.368957i	$0.120285\pi$
$168$	5.25163	+	2.77418i	0.405172	+	0.214033i
$169$	−7.63519	−	5.54729i	−0.587322	−	0.426715i
$170$	10.3958	−	3.37781i	0.797323	−	0.259066i
$171$	−0.243539	+	0.680529i	−0.0186239	+	0.0520413i
$172$	−3.82991	+	5.27142i	−0.292028	+	0.401942i
$173$	−2.83854	+	2.06232i	−0.215810	+	0.156795i	−0.690439	−	0.723391i	$-0.742582\pi$
$173$	−2.83854	+	2.06232i	−0.215810	+	0.156795i	0.474628	+	0.880186i	$0.342582\pi$
$174$	1.02412	+	7.14697i	0.0776387	+	0.541810i
$175$		−	1.74413i		−	0.131844i
$176$	−3.31595	+	0.0671098i	−0.249949	+	0.00505859i
$177$	−2.11633	−	4.30956i	−0.159073	−	0.323926i
$178$	−2.35152	−	0.764056i	−0.176254	−	0.0572684i
$179$	7.80160	+	10.7380i	0.583119	+	0.802595i	0.994033	−	0.109079i	$-0.0347903\pi$
$179$	7.80160	+	10.7380i	0.583119	+	0.802595i	−0.410914	+	0.911674i	$0.634790\pi$
$180$	1.78544	+	6.10201i	0.133078	+	0.454817i
$181$	−2.29709	−	7.06971i	−0.170741	−	0.525488i	0.828672	−	0.559734i	$-0.189097\pi$
$181$	−2.29709	−	7.06971i	−0.170741	−	0.525488i	−0.999413	+	0.0342467i	$0.989097\pi$
$182$	2.00000	+	6.15537i	0.148250	+	0.456266i
$183$	0.479482	−	2.76288i	0.0354444	−	0.204238i
$184$	2.92172	+	4.02140i	0.215392	+	0.296461i
$185$	17.7897	+	5.78022i	1.30792	+	0.424970i
$186$	10.1889	−	5.00356i	0.747087	−	0.366879i
$187$	17.1029	−	0.346138i	1.25069	−	0.0253121i
$188$			3.36988i			0.245774i
$189$	8.78373	−	15.5025i	0.638923	−	1.12764i
$190$	0.413086	−	0.300124i	0.0299684	−	0.0217733i
$191$	1.52249	−	2.09553i	0.110163	−	0.151627i	−0.750375	−	0.661012i	$-0.770127\pi$
$191$	1.52249	−	2.09553i	0.110163	−	0.151627i	0.860539	+	0.509385i	$0.170127\pi$
$192$	−1.20654	−	1.24268i	−0.0870747	−	0.0896827i
$193$	18.5702	−	6.03383i	1.33671	−	0.434325i	0.448511	−	0.893777i	$-0.351954\pi$
$193$	18.5702	−	6.03383i	1.33671	−	0.434325i	0.888202	+	0.459453i	$0.151954\pi$
$194$	−10.6968	−	7.77169i	−0.767987	−	0.557975i
$195$	−3.23607	+	6.12600i	−0.231740	+	0.438692i
$196$	−1.47047	+	4.52566i	−0.105034	+	0.323261i
$197$	−5.38713			−0.383817			−0.191908	−	0.981413i	$-0.561468\pi$
$197$	−5.38713			−0.383817			−0.191908	+	0.981413i	$0.561468\pi$
$198$	−0.0922486	+	9.94945i	−0.00655583	+	0.707076i
$199$	7.38713			0.523659			0.261830	−	0.965114i	$-0.415674\pi$
$199$	7.38713			0.523659			0.261830	+	0.965114i	$0.415674\pi$
$200$	−0.157176	+	0.483737i	−0.0111140	+	0.0342054i
$201$	−8.07719	+	15.2904i	−0.569721	+	1.07850i
$202$	−1.99038	−	1.44610i	−0.140043	−	0.101747i
$203$	−13.5943	+	4.41707i	−0.954136	+	0.310018i
$204$	6.22309	+	6.40948i	0.435703	+	0.448753i
$205$	9.88522	−	13.6058i	0.690414	−	0.950273i
$206$	−3.72914	+	2.70938i	−0.259821	+	0.188771i
$207$	12.3175	−	8.40541i	0.856128	−	0.584216i
$208$		−	1.88743i		−	0.130870i
$209$	0.754817	−	0.262256i	0.0522118	−	0.0181406i
$210$	−11.2983	+	5.54836i	−0.779657	+	0.382873i
$211$	−8.14317	−	2.64588i	−0.560599	−	0.182150i	0.0149917	−	0.999888i	$-0.495228\pi$
$211$	−8.14317	−	2.64588i	−0.560599	−	0.182150i	−0.575591	+	0.817738i	$0.695228\pi$
$212$	3.65283	+	5.02768i	0.250877	+	0.345303i
$213$	2.94965	−	16.9965i	0.202107	−	1.16458i
$214$	−5.60407	−	17.2475i	−0.383086	−	1.17902i
$215$	−4.26719	−	13.1331i	−0.291020	−	0.895667i
$216$	−3.83321	+	3.50806i	−0.260817	+	0.238694i
$217$	13.2092	+	18.1809i	0.896698	+	1.23420i
$218$	−0.668387	−	0.217172i	−0.0452689	−	0.0147087i
$219$	1.89324	+	3.85527i	0.127934	+	0.260515i
$220$	4.01556	−	5.76891i	0.270729	−	0.388940i
$221$			9.73495i			0.654844i
$222$	2.16845	+	15.1328i	0.145537	+	1.01565i
$223$	−0.0407361	+	0.0295965i	−0.00272789	+	0.00198193i	−0.589148	−	0.808025i	$-0.700537\pi$
$223$	−0.0407361	+	0.0295965i	−0.00272789	+	0.00198193i	0.586420	+	0.810007i	$0.300537\pi$
$224$	2.01556	−	2.77418i	0.134670	−	0.185358i
$225$	1.43667	+	0.514137i	0.0957778	+	0.0342758i
$226$	4.07454	−	1.32390i	0.271035	−	0.0880645i
$227$	11.5589	+	8.39806i	0.767194	+	0.557399i	0.901108	−	0.433594i	$-0.142755\pi$
$227$	11.5589	+	8.39806i	0.767194	+	0.557399i	−0.133914	+	0.990993i	$0.542755\pi$
$228$	0.368986	+	0.194917i	0.0244367	+	0.0129087i
$229$	−9.34547	+	28.7624i	−0.617566	+	1.90067i	−0.271783	+	0.962359i	$0.587613\pi$
$229$	−9.34547	+	28.7624i	−0.617566	+	1.90067i	−0.345783	+	0.938314i	$0.612387\pi$
$230$	−10.5344			−0.694616
$231$	−19.4388	+	3.18814i	−1.27898	+	0.209764i
$232$	4.16845			0.273672
$233$	0.874011	−	2.68993i	0.0572583	−	0.176223i	−0.918337	−	0.395799i	$-0.870468\pi$
$233$	0.874011	−	2.68993i	0.0572583	−	0.176223i	0.975595	+	0.219576i	$0.0704675\pi$
$234$	−5.65982	−	0.167054i	−0.369994	−	0.0109207i
$235$	−5.77779	−	4.19781i	−0.376901	−	0.273835i
$236$	−2.63628	+	0.856580i	−0.171607	+	0.0557586i
$237$	14.0778	−	13.6684i	0.914451	−	0.887859i
$238$	−10.3958	+	14.3086i	−0.673861	+	0.927490i
$239$	0.918528	−	0.667349i	0.0594146	−	0.0431672i	−0.557682	−	0.830055i	$-0.688309\pi$
$239$	0.918528	−	0.667349i	0.0594146	−	0.0431672i	0.617096	+	0.786888i	$0.288309\pi$
$240$	3.63359	−	0.520675i	0.234547	−	0.0336095i
$241$		−	15.0464i		−	0.969223i	−0.874730	−	0.484611i	$-0.838961\pi$
$241$		−	15.0464i		−	0.969223i	0.874730	−	0.484611i	$-0.161039\pi$
$242$	8.63030	−	6.82041i	0.554777	−	0.438432i
$243$	10.1803	+	11.8051i	0.653069	+	0.757298i
$244$	−1.53975	−	0.500295i	−0.0985724	−	0.0320281i
$245$	−5.92766	−	8.15872i	−0.378704	−	0.521242i
$246$	13.5424	+	2.35021i	0.863432	+	0.149844i
$247$	0.140523	+	0.432484i	0.00894124	+	0.0275183i
$248$	−2.02518	−	6.23285i	−0.128599	−	0.395786i
$249$	−11.7205	−	2.03402i	−0.742754	−	0.128901i
$250$	−6.86202	−	9.44475i	−0.433992	−	0.597339i
$251$	−9.16478	−	2.97782i	−0.578476	−	0.187958i	0.00514185	−	0.999987i	$-0.498363\pi$
$251$	−9.16478	−	2.97782i	−0.578476	−	0.187958i	−0.583618	+	0.812029i	$0.698363\pi$
$252$	−8.14052	−	6.28959i	−0.512805	−	0.396207i
$253$	−15.7790	−	4.77616i	−0.992018	−	0.300275i
$254$		−	17.5387i		−	1.10047i
$255$	−18.7413	+	2.68553i	−1.17363	+	0.168175i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	7.85036	−	10.8051i	0.489692	−	0.674003i	−0.490639	−	0.871363i	$-0.663237\pi$
$257$	7.85036	−	10.8051i	0.489692	−	0.674003i	0.980331	+	0.197360i	$0.0632366\pi$
$258$	8.09710	−	7.86163i	0.504103	−	0.489444i
$259$	−28.7843	+	9.35259i	−1.78857	+	0.581141i
$260$	3.23607	+	2.35114i	0.200692	+	0.145812i
$261$	0.368945	−	12.4999i	0.0228371	−	0.773725i
$262$	1.49038	−	4.58693i	0.0920762	−	0.283381i
$263$	9.33677			0.575730			0.287865	−	0.957671i	$-0.407055\pi$
$263$	9.33677			0.575730			0.287865	+	0.957671i	$0.407055\pi$
$264$	5.67868	+	0.867529i	0.349499	+	0.0533927i
$265$	−13.1704			−0.809053
$266$	−0.255301	+	0.785736i	−0.0156535	+	0.0481765i
$267$	3.78669	+	2.00032i	0.231742	+	0.122418i
$268$	8.07719	+	5.86842i	0.493393	+	0.358471i
$269$	−12.9581	+	4.21035i	−0.790071	+	0.256710i	−0.676134	−	0.736778i	$-0.736346\pi$
$269$	−12.9581	+	4.21035i	−0.790071	+	0.256710i	−0.113937	+	0.993488i	$0.536346\pi$
$270$	−1.23974	−	10.9421i	−0.0754482	−	0.665916i
$271$	2.75734	−	3.79515i	0.167496	−	0.230539i	−0.717015	−	0.697058i	$-0.754492\pi$
$271$	2.75734	−	3.79515i	0.167496	−	0.230539i	0.884511	+	0.466519i	$0.154492\pi$
$272$	4.17274	−	3.03167i	0.253009	−	0.183822i
$273$	−1.59010	−	11.0967i	−0.0962374	−	0.671604i
$274$			18.0581i			1.09093i
$275$	−0.553649	−	1.59350i	−0.0333863	−	0.0960915i
$276$	−3.79505	−	7.72799i	−0.228435	−	0.465170i
$277$	−7.87652	−	2.55924i	−0.473254	−	0.153770i	0.0626723	−	0.998034i	$-0.480038\pi$
$277$	−7.87652	−	2.55924i	−0.473254	−	0.153770i	−0.535927	+	0.844264i	$0.680038\pi$
$278$	0.581539	+	0.800420i	0.0348784	+	0.0480060i
$279$	−18.8697	+	5.52122i	−1.12970	+	0.330547i
$280$	2.24568	+	6.91151i	0.134205	+	0.413041i
$281$	3.91369	+	12.0451i	0.233471	+	0.718551i	0.997320	+	0.0731563i	$0.0233072\pi$
$281$	3.91369	+	12.0451i	0.233471	+	0.718551i	−0.763849	+	0.645395i	$0.776693\pi$
$282$	0.998029	−	5.75085i	0.0594318	−	0.342458i
$283$	13.2896	+	18.2916i	0.789985	+	1.08732i	0.994110	+	0.108377i	$0.0345652\pi$
$283$	13.2896	+	18.2916i	0.789985	+	1.08732i	−0.204125	+	0.978945i	$0.565435\pi$
$284$	−9.47214	−	3.07768i	−0.562068	−	0.182627i
$285$	−0.793834	+	0.389835i	−0.0470226	+	0.0230918i
$286$	3.78119	+	4.98887i	0.223587	+	0.294998i
$287$			27.2117i			1.60625i
$288$	1.69098	+	2.47802i	0.0996421	+	0.146019i
$289$	−7.76878	+	5.64435i	−0.456987	+	0.332021i
$290$	−5.19258	+	7.14697i	−0.304919	+	0.419685i
$291$	15.9529	+	16.4307i	0.935176	+	0.963185i
$292$	2.35838	−	0.766285i	0.138014	−	0.0448435i
$293$	20.2998	+	14.7487i	1.18593	+	0.861626i	0.992828	−	0.119553i	$-0.0381462\pi$
$293$	20.2998	+	14.7487i	1.18593	+	0.861626i	0.193099	+	0.981179i	$0.438146\pi$
$294$	3.84975	−	7.28773i	0.224522	−	0.425029i
$295$	1.81534	−	5.58703i	0.105693	−	0.325290i
$296$	8.82617			0.513011
$297$	3.10407	−	16.9518i	0.180116	−	0.983645i
$298$	−13.9871			−0.810254
$299$	2.89916	−	8.92270i	0.167663	−	0.516013i
$300$	0.411491	−	0.778968i	0.0237575	−	0.0449738i
$301$	18.0761	+	13.1331i	1.04189	+	0.756977i
$302$	6.01875	−	1.95561i	0.346340	−	0.112533i
$303$	2.96840	+	3.05730i	0.170530	+	0.175637i
$304$	0.141616	−	0.194917i	0.00812222	−	0.0111793i
$305$	2.77582	−	2.01675i	0.158943	−	0.115479i
$306$	−8.72173	−	12.7811i	−0.498588	−	0.730646i
$307$		−	16.0682i		−	0.917058i	−0.888679	−	0.458529i	$-0.848377\pi$
$307$		−	16.0682i		−	0.917058i	0.888679	−	0.458529i	$-0.151623\pi$
$308$	0.230125	+	11.3706i	0.0131126	+	0.647902i
$309$	7.16635	−	3.51924i	0.407679	−	0.200203i
$310$	13.2092	+	4.29193i	0.750232	+	0.243765i
$311$	−5.65772	−	7.78718i	−0.320820	−	0.441571i	0.617897	−	0.786259i	$-0.287985\pi$
$311$	−5.65772	−	7.78718i	−0.320820	−	0.441571i	−0.938717	+	0.344688i	$0.887985\pi$
$312$	−0.558984	+	3.22098i	−0.0316462	+	0.182352i
$313$	6.21555	+	19.1295i	0.351324	+	1.08126i	0.958111	+	0.286399i	$0.0924581\pi$
$313$	6.21555	+	19.1295i	0.351324	+	1.08126i	−0.606787	+	0.794865i	$0.707542\pi$
$314$	1.14590	+	3.52671i	0.0646668	+	0.199024i
$315$	20.9243	−	6.12239i	1.17895	−	0.344958i
$316$	−6.65877	−	9.16501i	−0.374585	−	0.515572i
$317$	−17.5481	−	5.70172i	−0.985599	−	0.320241i	−0.228503	−	0.973543i	$-0.573383\pi$
$317$	−17.5481	−	5.70172i	−0.985599	−	0.320241i	−0.757097	+	0.653303i	$0.773383\pi$
$318$	−4.74470	−	9.66179i	−0.266070	−	0.541806i
$319$	−11.0181	+	8.35090i	−0.616895	+	0.467561i
$320$		−	2.11929i		−	0.118472i
$321$	4.45552	+	31.0934i	0.248683	+	1.73546i
$322$	13.7897	−	10.0188i	0.768469	−	0.558325i
$323$	−0.730424	+	1.00534i	−0.0406419	+	0.0559387i
$324$	7.58049	−	4.85141i	0.421138	−	0.269523i
$325$	0.913019	−	0.296658i	0.0506452	−	0.0164556i
$326$	6.91743	+	5.02581i	0.383121	+	0.278354i
$327$	1.07631	+	0.568564i	0.0595202	+	0.0314416i
$328$	2.45223	−	7.54718i	0.135402	−	0.416723i
$329$	11.5556			0.637080
$330$	−8.56125	+	8.65564i	−0.471282	+	0.476477i
$331$	−5.03641			−0.276826			−0.138413	−	0.990375i	$-0.544200\pi$
$331$	−5.03641			−0.276826			−0.138413	+	0.990375i	$0.544200\pi$
$332$	−2.12232	+	6.53182i	−0.116477	+	0.358480i
$333$	0.781194	−	26.4670i	0.0428092	−	1.45038i
$334$	−1.33161	−	0.967474i	−0.0728626	−	0.0529378i
$335$	−20.1233	+	6.53844i	−1.09945	+	0.357233i
$336$	−4.26124	+	4.13733i	−0.232470	+	0.225710i
$337$	10.3769	−	14.2826i	0.565267	−	0.778024i	−0.426717	−	0.904385i	$-0.640330\pi$
$337$	10.3769	−	14.2826i	0.565267	−	0.778024i	0.991984	+	0.126361i	$0.0403299\pi$
$338$	7.63519	−	5.54729i	0.415299	−	0.301733i
$339$	−7.34547	+	1.05257i	−0.398951	+	0.0571677i
$340$			10.9308i			0.592807i
$341$	17.8396	+	12.4176i	0.966068	+	0.672450i
$342$	−0.571964	−	0.441914i	−0.0309282	−	0.0238960i
$343$	−7.30989	−	2.37513i	−0.394697	−	0.128245i
$344$	−3.82991	−	5.27142i	−0.206495	−	0.284216i
$345$	17.9774	+	3.11988i	0.967869	+	0.167968i
$346$	−1.08423	−	3.33691i	−0.0582884	−	0.179393i
$347$	−4.64355	−	14.2914i	−0.249279	−	0.767201i	−0.994903	−	0.100834i	$-0.967849\pi$
$347$	−4.64355	−	14.2914i	−0.249279	−	0.767201i	0.745625	−	0.666366i	$-0.232151\pi$
$348$	−7.11364	−	1.23454i	−0.381331	−	0.0661780i
$349$	2.05443	+	2.82768i	0.109971	+	0.151362i	0.860455	−	0.509527i	$-0.170179\pi$
$349$	2.05443	+	2.82768i	0.109971	+	0.151362i	−0.750484	+	0.660889i	$0.770179\pi$
$350$	1.65877	+	0.538967i	0.0886650	+	0.0288090i
$351$	9.60925	+	1.96131i	0.512904	+	0.104687i
$352$	0.960858	−	3.17439i	0.0512139	−	0.169196i
$353$		−	25.2674i		−	1.34485i	−0.740167	−	0.672423i	$-0.765253\pi$
$353$		−	25.2674i		−	1.34485i	0.740167	−	0.672423i	$-0.234747\pi$
$354$	4.75261	−	0.681025i	0.252599	−	0.0361961i
$355$	17.0761	−	12.4065i	0.906305	−	0.658469i
$356$	1.45332	−	2.00032i	0.0770258	−	0.106017i
$357$	21.9786	−	21.3394i	1.16323	−	1.12940i
$358$	−12.6233	+	4.10155i	−0.667160	+	0.216773i
$359$	−15.6095	−	11.3409i	−0.823836	−	0.598552i	0.0939725	−	0.995575i	$-0.470043\pi$
$359$	−15.6095	−	11.3409i	−0.823836	−	0.598552i	−0.917809	+	0.397023i	$0.870043\pi$
$360$	−6.35509	−	0.187575i	−0.334943	−	0.00988609i
$361$	5.85339	−	18.0149i	0.308073	−	0.948151i
$362$	7.43354			0.390698
$363$	−16.7479	+	9.08336i	−0.879037	+	0.476753i
$364$	−6.47214			−0.339232
$365$	−1.62398	+	4.99809i	−0.0850029	+	0.261612i
$366$	2.47948	+	1.30979i	0.129605	+	0.0684638i
$367$	0.726385	+	0.527749i	0.0379170	+	0.0275483i	0.606582	−	0.795021i	$-0.292540\pi$
$367$	0.726385	+	0.527749i	0.0379170	+	0.0275483i	−0.568665	+	0.822569i	$0.692540\pi$
$368$	−4.72744	+	1.53604i	−0.246435	+	0.0800715i
$369$	−22.4146	−	8.02147i	−1.16686	−	0.417581i
$370$	−10.9946	+	15.1328i	−0.571583	+	0.786717i
$371$	17.2403	−	12.5258i	0.895072	−	0.650308i
$372$	1.61012	+	11.2364i	0.0834808	+	0.582581i
$373$			26.3407i			1.36387i	0.731413	+	0.681935i	$0.238861\pi$
$373$			26.3407i			1.36387i	−0.731413	+	0.681935i	$0.761139\pi$
$374$	−4.95590	+	16.3728i	−0.256264	+	0.846618i
$375$	8.91315	+	18.1501i	0.460273	+	0.937269i
$376$	−3.20495	−	1.04135i	−0.165283	−	0.0537036i
$377$	−4.62449	−	6.36507i	−0.238174	−	0.327818i
$378$	12.0294	+	13.1444i	0.618726	+	0.676073i
$379$	−0.823525	−	2.53455i	−0.0423016	−	0.130191i	0.927675	−	0.373388i	$-0.121804\pi$
$379$	−0.823525	−	2.53455i	−0.0423016	−	0.130191i	−0.969977	+	0.243197i	$0.921804\pi$
$380$	0.157785	+	0.485611i	0.00809418	+	0.0249113i
$381$	−5.19428	+	29.9305i	−0.266111	+	1.53339i
$382$	1.52249	+	2.09553i	0.0778973	+	0.107216i
$383$	−31.1072	−	10.1073i	−1.58950	−	0.516461i	−0.625022	−	0.780607i	$-0.714910\pi$
$383$	−31.1072	−	10.1073i	−1.58950	−	0.516461i	−0.964483	+	0.264146i	$0.914910\pi$
$384$	1.55470	−	0.763481i	0.0793380	−	0.0389612i
$385$	−19.7820	−	13.7697i	−1.00819	−	0.701767i
$386$			19.5259i			0.993841i
$387$	−16.1464	+	11.0182i	−0.820766	+	0.560085i
$388$	10.6968	−	7.77169i	0.543049	−	0.394548i
$389$	0.990218	−	1.36292i	0.0502060	−	0.0691027i	−0.783176	−	0.621800i	$-0.786402\pi$
$389$	0.990218	−	1.36292i	0.0502060	−	0.0691027i	0.833382	+	0.552698i	$0.186402\pi$
$390$	−4.82617	−	4.97072i	−0.244383	−	0.251702i
$391$	24.3831	−	7.92255i	1.23311	−	0.400661i
$392$	−3.84975	−	2.79701i	−0.194442	−	0.141270i
$393$	−3.90187	+	7.38640i	−0.196824	+	0.372594i
$394$	1.66471	−	5.12346i	0.0838671	−	0.258116i
$395$	24.0085			1.20800
$396$	−9.43398	−	3.16228i	−0.474075	−	0.158911i
$397$	−8.89235			−0.446294			−0.223147	−	0.974785i	$-0.571633\pi$
$397$	−8.89235			−0.446294			−0.223147	+	0.974785i	$0.571633\pi$
$398$	−2.28275	+	7.02557i	−0.114424	+	0.352160i
$399$	0.668387	−	1.26528i	0.0334612	−	0.0633433i
$400$	−0.411491	−	0.298966i	−0.0205746	−	0.0149483i
$401$	−18.6014	+	6.04398i	−0.928912	+	0.301822i	−0.734118	−	0.679022i	$-0.762404\pi$
$401$	−18.6014	+	6.04398i	−0.928912	+	0.301822i	−0.194794	+	0.980844i	$0.562404\pi$
$402$	−12.0461	−	12.4069i	−0.600803	−	0.618798i
$403$	−7.27059	+	10.0071i	−0.362174	+	0.498490i
$404$	1.99038	−	1.44610i	0.0990253	−	0.0719461i
$405$	−1.12496	+	19.0404i	−0.0558998	+	0.946123i
$406$		−	14.2939i		−	0.709396i
$407$	−23.3294	+	17.6820i	−1.15640	+	0.876463i
$408$	−8.01882	+	3.93787i	−0.396991	+	0.194954i
$409$	23.5359	+	7.64727i	1.16377	+	0.378133i	0.826315	−	0.563208i	$-0.190433\pi$
$409$	23.5359	+	7.64727i	1.16377	+	0.378133i	0.337458	+	0.941341i	$0.390433\pi$
$410$	9.88522	+	13.6058i	0.488196	+	0.671945i
$411$	5.34812	−	30.8169i	0.263803	−	1.52009i
$412$	−1.42440	−	4.38387i	−0.0701754	−	0.215978i
$413$	2.93728	+	9.04001i	0.144534	+	0.444830i
$414$	4.18769	+	14.3121i	0.205814	+	0.703401i
$415$	−8.55531	−	11.7754i	−0.419964	−	0.578030i
$416$	1.79505	+	0.583248i	0.0880096	+	0.0285961i
$417$	−0.755368	−	1.53818i	−0.0369905	−	0.0753250i
$418$	0.0161689	+	0.798915i	0.000790845	+	0.0390762i
$419$		−	34.8462i		−	1.70235i	−0.524883	−	0.851174i	$-0.675891\pi$
$419$		−	34.8462i		−	1.70235i	0.524883	−	0.851174i	$-0.324109\pi$
$420$	−1.78544	−	12.4599i	−0.0871203	−	0.607979i
$421$	−14.1996	+	10.3166i	−0.692045	+	0.502800i	−0.877332	−	0.479884i	$-0.840679\pi$
$421$	−14.1996	+	10.3166i	−0.692045	+	0.502800i	0.185287	+	0.982684i	$0.440679\pi$
$422$	5.03276	−	6.92699i	0.244991	−	0.337201i
$423$	−3.40636	+	9.51849i	−0.165623	+	0.462805i
$424$	−5.91040	+	1.92040i	−0.287034	+	0.0932631i
$425$	2.12238	+	1.54200i	0.102951	+	0.0747981i
$426$	15.2531	+	8.05748i	0.739016	+	0.390386i
$427$	−1.71555	+	5.27992i	−0.0830213	+	0.255513i
$428$	18.1351			0.876595
$429$	−4.97526	−	9.63357i	−0.240208	−	0.465113i
$430$	13.8089			0.665925
$431$	10.3275	−	31.7846i	0.497456	−	1.53101i	−0.315638	−	0.948880i	$-0.602218\pi$
$431$	10.3275	−	31.7846i	0.497456	−	1.53101i	0.813094	−	0.582133i	$-0.197782\pi$
$432$	−2.15184	−	4.72965i	−0.103531	−	0.227555i
$433$	−21.9952	−	15.9805i	−1.05702	−	0.767973i	−0.0834881	−	0.996509i	$-0.526606\pi$
$433$	−21.9952	−	15.9805i	−1.05702	−	0.767973i	−0.973535	+	0.228536i	$0.926606\pi$
$434$	−21.3729	+	6.94448i	−1.02593	+	0.333346i
$435$	10.9780	−	10.6588i	0.526355	−	0.511049i
$436$	0.413086	−	0.568564i	0.0197832	−	0.0272293i
$437$	0.968880	−	0.703933i	0.0463478	−	0.0336737i
$438$	−4.25163	+	0.609237i	−0.203151	+	0.0291104i
$439$		−	13.4068i		−	0.639873i	−0.947439	−	0.319936i	$-0.896338\pi$
$439$		−	13.4068i		−	0.639873i	0.947439	−	0.319936i	$-0.103662\pi$
$440$	4.24568	+	5.60172i	0.202405	+	0.267051i
$441$	−8.72811	+	11.2967i	−0.415624	+	0.537937i
$442$	−9.25849	−	3.00827i	−0.440381	−	0.143089i
$443$	10.8348	+	14.9128i	0.514777	+	0.708530i	0.984716	−	0.174169i	$-0.0557240\pi$
$443$	10.8348	+	14.9128i	0.514777	+	0.708530i	−0.469939	+	0.882699i	$0.655724\pi$
$444$	−15.0622	−	2.61397i	−0.714822	−	0.124054i
$445$	1.61925	+	4.98355i	0.0767599	+	0.236243i
$446$	−0.0155598	−	0.0478882i	−0.000736779	−	0.00226757i
$447$	23.8697	+	4.14245i	1.12900	+	0.195931i
$448$	2.01556	+	2.77418i	0.0952263	+	0.131068i
$449$	−28.8836	−	9.38485i	−1.36310	−	0.442898i	−0.466024	−	0.884772i	$-0.654314\pi$
$449$	−28.8836	−	9.38485i	−1.36310	−	0.442898i	−0.897077	+	0.441874i	$0.854314\pi$
$450$	−0.932928	+	1.20748i	−0.0439786	+	0.0569209i
$451$	8.63794	+	24.8615i	0.406745	+	1.17068i
$452$			4.28423i			0.201513i
$453$	−10.8504	+	1.55481i	−0.509798	+	0.0730514i
$454$	−11.5589	+	8.39806i	−0.542488	+	0.394141i
$455$	8.06224	−	11.0967i	0.377964	−	0.520222i
$456$	−0.299400	+	0.290694i	−0.0140207	+	0.0136130i
$457$	32.9901	−	10.7191i	1.54321	−	0.501419i	0.590950	−	0.806708i	$-0.298753\pi$
$457$	32.9901	−	10.7191i	1.54321	−	0.501419i	0.952260	+	0.305289i	$0.0987530\pi$
$458$	−24.4668	−	17.7761i	−1.14326	−	0.830625i
$459$	11.0987	+	24.3945i	0.518045	+	1.13864i
$460$	3.25530	−	10.0188i	0.151779	−	0.467128i
$461$	−20.8777			−0.972370			−0.486185	−	0.873856i	$-0.661612\pi$
$461$	−20.8777			−0.972370			−0.486185	+	0.873856i	$0.661612\pi$
$462$	2.97482	−	19.4726i	0.138401	−	0.905948i
$463$	6.14371			0.285522			0.142761	−	0.989757i	$-0.454402\pi$
$463$	6.14371			0.285522			0.142761	+	0.989757i	$0.454402\pi$
$464$	−1.28812	+	3.96443i	−0.0597996	+	0.184044i
$465$	−21.2709	−	11.2364i	−0.986416	−	0.521076i
$466$	2.28819	+	1.66247i	0.105998	+	0.0770123i
$467$	33.1013	−	10.7553i	1.53174	−	0.497694i	0.582660	−	0.812716i	$-0.302012\pi$
$467$	33.1013	−	10.7553i	1.53174	−	0.497694i	0.949084	+	0.315022i	$0.102012\pi$
$468$	1.90786	−	5.33119i	0.0881908	−	0.246434i
$469$	20.1233	−	27.6973i	0.929206	−	1.27894i
$470$	5.77779	−	4.19781i	0.266510	−	0.193631i
$471$	−0.911048	−	6.35786i	−0.0419789	−	0.292954i
$472$		−	2.77195i		−	0.127589i
$473$	20.6838	+	6.26079i	0.951042	+	0.287872i
$474$	8.64915	+	17.6126i	0.397269	+	0.808971i
$475$	0.116547	+	0.0378685i	0.00534756	+	0.00173753i
$476$	−10.3958	−	14.3086i	−0.476492	−	0.655835i
$477$	5.23558	+	17.8934i	0.239721	+	0.819285i
$478$	0.350846	+	1.07979i	0.0160473	+	0.0493886i
$479$	10.7639	+	33.1280i	0.491817	+	1.51366i	0.821860	+	0.569690i	$0.192937\pi$
$479$	10.7639	+	33.1280i	0.491817	+	1.51366i	−0.330043	+	0.943966i	$0.607063\pi$
$480$	−0.627650	+	3.61665i	−0.0286482	+	0.165077i
$481$	−9.79178	−	13.4772i	−0.446467	−	0.614509i
$482$	14.3100	+	4.64959i	0.651801	+	0.211783i
$483$	−26.4999	+	13.0135i	−1.20578	+	0.592136i
$484$	3.81969	+	10.3155i	0.173622	+	0.468887i
$485$			28.0212i			1.27238i
$486$	−14.3732	+	6.03410i	−0.651983	+	0.273712i
$487$	4.66471	−	3.38911i	0.211378	−	0.153575i	−0.477059	−	0.878871i	$-0.658297\pi$
$487$	4.66471	−	3.38911i	0.211378	−	0.153575i	0.688437	+	0.725296i	$0.258297\pi$
$488$	0.951618	−	1.30979i	0.0430777	−	0.0592914i
$489$	−10.3164	−	10.6254i	−0.466526	−	0.480499i
$490$	9.59116	−	3.11636i	0.433284	−	0.140783i
$491$	8.42871	+	6.12382i	0.380382	+	0.276364i	0.761503	−	0.648161i	$-0.224462\pi$
$491$	8.42871	+	6.12382i	0.380382	+	0.276364i	−0.381121	+	0.924525i	$0.624462\pi$
$492$	−6.42001	+	12.1533i	−0.289437	+	0.547914i
$493$	6.64386	−	20.4477i	0.299224	−	0.920918i
$494$	−0.454741			−0.0204597
$495$	17.1736	−	12.2357i	0.771897	−	0.549954i
$496$	6.55361			0.294266
$497$	−10.5536	+	32.4807i	−0.473394	+	1.45696i
$498$	5.55630	−	10.5183i	0.248984	−	0.471335i
$499$	17.7151	+	12.8708i	0.793038	+	0.576176i	0.908864	−	0.417094i	$-0.136951\pi$
$499$	17.7151	+	12.8708i	0.793038	+	0.576176i	−0.115825	+	0.993270i	$0.536951\pi$
$500$	11.1030	−	3.60758i	0.496540	−	0.161336i
$501$	1.98593	+	2.04541i	0.0887247	+	0.0913821i
$502$	5.66415	−	7.79603i	0.252803	−	0.347954i
$503$	15.8347	−	11.5045i	0.706032	−	0.512962i	−0.175859	−	0.984415i	$-0.556270\pi$
$503$	15.8347	−	11.5045i	0.706032	−	0.512962i	0.881891	+	0.471453i	$0.156270\pi$
$504$	8.49731	−	5.79851i	0.378500	−	0.258286i
$505$			5.21397i			0.232019i
$506$	9.41838	−	13.5308i	0.418698	−	0.601518i
$507$	−14.6727	+	7.20544i	−0.651636	+	0.320005i
$508$	16.6803	+	5.41975i	0.740067	+	0.240462i
$509$	21.3064	+	29.3257i	0.944389	+	1.29984i	0.953975	+	0.299886i	$0.0969486\pi$
$509$	21.3064	+	29.3257i	0.944389	+	1.29984i	−0.00958605	+	0.999954i	$0.503051\pi$
$510$	3.23729	−	18.6539i	0.143349	−	0.826009i
$511$	−2.62765	−	8.08708i	−0.116240	−	0.357751i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	0.845202	+	0.923539i	0.0373166	+	0.0407753i
$514$	7.85036	+	10.8051i	0.346265	+	0.476592i
$515$	9.29066	+	3.01872i	0.409395	+	0.133021i
$516$	4.97472	+	10.1302i	0.219000	+	0.445956i
$517$	10.5575	−	3.66815i	0.464321	−	0.161325i
$518$		−	30.2656i		−	1.32979i
$519$	0.862016	+	6.01568i	0.0378383	+	0.264059i
$520$	−3.23607	+	2.35114i	−0.141911	+	0.103104i
$521$	−10.6363	+	14.6396i	−0.465985	+	0.641373i	−0.975736	−	0.218948i	$-0.929737\pi$
$521$	−10.6363	+	14.6396i	−0.465985	+	0.641373i	0.509751	+	0.860322i	$0.329737\pi$
$522$	11.7741	+	4.21357i	0.515339	+	0.184423i
$523$	−23.8450	+	7.74771i	−1.04267	+	0.338784i	−0.779787	−	0.626045i	$-0.784673\pi$
$523$	−23.8450	+	7.74771i	−1.04267	+	0.338784i	−0.262881	+	0.964828i	$0.584673\pi$
$524$	3.90187	+	2.83488i	0.170454	+	0.123842i
$525$	−2.67114	−	1.41103i	−0.116578	−	0.0615826i
$526$	−2.88522	+	8.87980i	−0.125802	+	0.387178i
$527$	−33.8021			−1.47244
$528$	−2.57988	+	5.13266i	−0.112275	+	0.223370i
$529$	−1.70807			−0.0742639
$530$	4.06988	−	12.5258i	0.176785	−	0.544087i
$531$	−8.31223	−	0.245342i	−0.360720	−	0.0106469i
$532$	−0.668387	−	0.485611i	−0.0289782	−	0.0210539i
$533$	−14.2448	+	4.62840i	−0.617009	+	0.200478i
$534$	−3.07257	+	2.98322i	−0.132963	+	0.129097i
$535$	−22.5907	+	31.0934i	−0.976680	+	1.34428i
$536$	−8.07719	+	5.86842i	−0.348881	+	0.253477i
$537$	22.7569	−	3.26094i	0.982031	−	0.140720i
$538$		−	13.6250i		−	0.587415i
$539$	15.7791	−	0.319346i	0.679655	−	0.0137552i
$540$	10.7897	+	2.20224i	0.464314	+	0.0947692i
$541$	−37.4648	−	12.1730i	−1.61074	−	0.523360i	−0.641006	−	0.767536i	$-0.721483\pi$
$541$	−37.4648	−	12.1730i	−1.61074	−	0.523360i	−0.969731	+	0.244176i	$0.921483\pi$
$542$	2.75734	+	3.79515i	0.118438	+	0.163016i
$543$	−12.6856	−	2.20153i	−0.544393	−	0.0944766i
$544$	1.59384	+	4.90534i	0.0683355	+	0.210315i
$545$	0.460249	+	1.41650i	0.0197149	+	0.0606763i
$546$	11.0450	+	1.91680i	0.472681	+	0.0820313i
$547$	1.05599	+	1.45344i	0.0451507	+	0.0621446i	0.830995	−	0.556279i	$-0.187772\pi$
$547$	1.05599	+	1.45344i	0.0451507	+	0.0621446i	−0.785845	+	0.618424i	$0.787772\pi$
$548$	−17.1743	−	5.58026i	−0.733649	−	0.238377i
$549$	−3.84343	−	2.96954i	−0.164034	−	0.126737i
$550$	1.68659	−	0.0341341i	0.0719166	−	0.00145548i
$551$		−	1.00431i		−	0.0427851i
$552$	8.52249	−	1.22123i	0.362741	−	0.0519790i
$553$	−31.4275	+	22.8334i	−1.33643	+	0.970976i
$554$	4.86796	−	6.70017i	0.206820	−	0.284663i
$555$	23.2446	−	22.5686i	0.986676	−	0.957983i
$556$	−0.940950	+	0.305733i	−0.0399052	+	0.0129660i
$557$	−34.6574	−	25.1801i	−1.46848	−	1.06691i	−0.981051	−	0.193750i	$-0.937935\pi$
$557$	−34.6574	−	25.1801i	−1.46848	−	1.06691i	−0.487429	−	0.873163i	$-0.662065\pi$
$558$	0.580052	−	19.6523i	0.0245556	−	0.831947i
$559$	−3.80034	+	11.6963i	−0.160737	+	0.494699i
$560$	−7.26719			−0.307095
$561$	13.3065	−	26.4732i	0.561799	−	1.11770i
$562$	−12.6650			−0.534240
$563$	5.33623	−	16.4232i	0.224895	−	0.692157i	−0.773407	−	0.633910i	$-0.781449\pi$
$563$	5.33623	−	16.4232i	0.224895	−	0.692157i	0.998302	−	0.0582467i	$-0.0185510\pi$
$564$	5.16097	+	2.72629i	0.217316	+	0.114798i
$565$	−7.34547	−	5.33680i	−0.309026	−	0.224521i
$566$	−21.5030	+	6.98676i	−0.903840	+	0.293675i
$567$	−16.6359	−	25.9941i	−0.698641	−	1.09165i
$568$	5.85410	−	8.05748i	0.245633	−	0.338084i
$569$	4.41418	−	3.20709i	0.185052	−	0.134448i	−0.491402	−	0.870933i	$-0.663516\pi$
$569$	4.41418	−	3.20709i	0.185052	−	0.134448i	0.676454	+	0.736484i	$0.263516\pi$
$570$	−0.125447	−	0.875446i	−0.00525440	−	0.0366684i
$571$			18.8259i			0.787838i	0.919145	+	0.393919i	$0.128881\pi$
$571$			18.8259i			0.787838i	−0.919145	+	0.393919i	$0.871119\pi$
$572$	−5.91315	+	2.05448i	−0.247241	+	0.0859023i
$573$	−1.97758	−	4.02701i	−0.0826145	−	0.168231i
$574$	−25.8798	−	8.40887i	−1.08020	−	0.350980i
$575$	−1.48608	−	2.04541i	−0.0619736	−	0.0852994i
$576$	−2.87928	+	0.842471i	−0.119970	+	0.0351029i
$577$	4.84849	+	14.9221i	0.201845	+	0.621216i	0.999828	+	0.0185361i	$0.00590056\pi$
$577$	4.84849	+	14.9221i	0.201845	+	0.621216i	−0.797983	+	0.602680i	$0.794099\pi$
$578$	−2.96741	−	9.13275i	−0.123428	−	0.379872i
$579$	5.78281	−	33.3218i	0.240326	−	1.38481i
$580$	−5.19258	−	7.14697i	−0.215610	−	0.296762i
$581$	22.3981	+	7.27758i	0.929230	+	0.301925i
$582$	−20.5563	+	10.0947i	−0.852084	+	0.418441i
$583$	11.7752	−	16.9167i	0.487678	−	0.700617i
$584$			2.47975i			0.102613i
$585$	6.76393	+	9.91207i	0.279654	+	0.409814i
$586$	−20.2998	+	14.7487i	−0.838577	+	0.609262i
$587$	1.74399	−	2.40039i	0.0719821	−	0.0990748i	−0.771508	−	0.636220i	$-0.780497\pi$
$587$	1.74399	−	2.40039i	0.0719821	−	0.0990748i	0.843490	+	0.537145i	$0.180497\pi$
$588$	5.74140	+	5.91336i	0.236771	+	0.243863i
$589$	−1.50169	+	0.487928i	−0.0618760	+	0.0201047i
$590$	4.75261	+	3.45298i	0.195662	+	0.142157i
$591$	−4.35828	+	8.25038i	−0.179276	+	0.339375i
$592$	−2.72744	+	8.39419i	−0.112097	+	0.344999i
$593$	43.4839			1.78567			0.892836	−	0.450383i	$-0.148712\pi$
$593$	43.4839			1.78567			0.892836	+	0.450383i	$0.148712\pi$
$594$	15.1629	+	8.19055i	0.622143	+	0.336062i
$595$	37.4826			1.53664
$596$	4.32227	−	13.3026i	0.177047	−	0.544894i
$597$	5.97631	−	11.3134i	0.244594	−	0.463026i
$598$	7.59010	+	5.51453i	0.310382	+	0.225506i
$599$	−24.7770	+	8.05055i	−1.01236	+	0.328936i	−0.767795	−	0.640696i	$-0.778646\pi$
$599$	−24.7770	+	8.05055i	−1.01236	+	0.328936i	−0.244567	+	0.969632i	$0.578646\pi$
$600$	0.613685	+	0.632066i	0.0250536	+	0.0258040i
$601$	−27.1211	+	37.3290i	−1.10629	+	1.52268i	−0.279529	+	0.960137i	$0.590178\pi$
$601$	−27.1211	+	37.3290i	−1.10629	+	1.52268i	−0.826766	+	0.562546i	$0.809822\pi$
$602$	−18.0761	+	13.1331i	−0.736727	+	0.535263i
$603$	16.8827	+	24.7404i	0.687517	+	1.00751i
$604$			6.32849i			0.257502i
$605$	−22.4445	−	6.30089i	−0.912498	−	0.256168i
$606$	−3.82495	+	1.87835i	−0.155378	+	0.0763029i
$607$	−9.07413	−	2.94836i	−0.368307	−	0.119670i	0.119015	−	0.992892i	$-0.462026\pi$
$607$	−9.07413	−	2.94836i	−0.368307	−	0.119670i	−0.487322	+	0.873222i	$0.662026\pi$
$608$	0.141616	+	0.194917i	0.00574328	+	0.00790495i
$609$	−4.23331	+	24.3932i	−0.171543	+	0.988463i
$610$	1.06027	+	3.26317i	0.0429290	+	0.132122i
$611$	1.96548	+	6.04911i	0.0795146	+	0.244721i
$612$	14.8507	−	4.34528i	0.600304	−	0.175648i
$613$	−6.16173	−	8.48089i	−0.248870	−	0.342540i	0.666245	−	0.745733i	$-0.267900\pi$
$613$	−6.16173	−	8.48089i	−0.248870	−	0.342540i	−0.915115	+	0.403193i	$0.867900\pi$
$614$	15.2817	+	4.96533i	0.616720	+	0.200384i
$615$	−12.8400	−	26.1466i	−0.517760	−	1.05433i
$616$	−10.8852	−	3.29486i	−0.438578	−	0.132754i
$617$		−	26.7867i		−	1.07839i	−0.842180	−	0.539196i	$-0.818728\pi$
$617$		−	26.7867i		−	1.07839i	0.842180	−	0.539196i	$-0.181272\pi$
$618$	1.13248	+	7.90311i	0.0455548	+	0.317910i
$619$	6.51821	−	4.73575i	0.261989	−	0.190346i	−0.449035	−	0.893514i	$-0.648232\pi$
$619$	6.51821	−	4.73575i	0.261989	−	0.190346i	0.711023	+	0.703168i	$0.248232\pi$
$620$	−8.16373	+	11.2364i	−0.327863	+	0.451265i
$621$	−2.90778	−	25.6644i	−0.116685	−	1.02988i
$622$	9.15438	−	2.97444i	0.367057	−	0.119264i
$623$	−6.85926	−	4.98355i	−0.274811	−	0.199662i
$624$	−2.89060	−	1.52696i	−0.115716	−	0.0611274i
$625$	−6.85960	+	21.1117i	−0.274384	+	0.844467i
$626$	−20.1139			−0.803915
$627$	0.209015	−	1.36817i	0.00834725	−	0.0546395i
$628$	−3.70820			−0.147973
$629$	14.0675	−	43.2954i	0.560909	−	1.72630i
$630$	−0.643210	+	21.7921i	−0.0256261	+	0.868217i
$631$	16.5719	+	12.0402i	0.659718	+	0.479313i	0.866568	−	0.499060i	$-0.166321\pi$
$631$	16.5719	+	12.0402i	0.659718	+	0.479313i	−0.206850	+	0.978373i	$0.566321\pi$
$632$	10.7741	−	3.50072i	0.428571	−	0.139251i
$633$	−10.6401	+	10.3307i	−0.422907	+	0.410609i
$634$	10.8453	−	14.9273i	0.430723	−	0.592839i
$635$	−30.0707	+	21.8477i	−1.19332	+	0.866998i
$636$	10.6551	−	1.52682i	0.422502	−	0.0605424i
$637$			8.98144i			0.355858i
$638$	−4.53740	−	13.0594i	−0.179637	−	0.517027i
$639$	−23.6438	−	18.2678i	−0.935333	−	0.722664i
$640$	2.01556	+	0.654895i	0.0796720	+	0.0258870i
$641$	−1.82529	−	2.51229i	−0.0720946	−	0.0992296i	0.771447	−	0.636294i	$-0.219533\pi$
$641$	−1.82529	−	2.51229i	−0.0720946	−	0.0992296i	−0.843541	+	0.537064i	$0.819533\pi$
$642$	−30.9484	−	5.37093i	−1.22144	−	0.211974i
$643$	−12.1432	−	37.3728i	−0.478880	−	1.47384i	−0.840653	−	0.541574i	$-0.817828\pi$
$643$	−12.1432	−	37.3728i	−0.478880	−	1.47384i	0.361773	−	0.932266i	$-0.382172\pi$
$644$	5.26719	+	16.2107i	0.207556	+	0.638793i
$645$	−23.5655	−	4.08967i	−0.927890	−	0.161030i
$646$	−0.730424	−	1.00534i	−0.0287381	−	0.0395547i
$647$	34.1070	+	11.0820i	1.34088	+	0.435680i	0.889616	−	0.456709i	$-0.150972\pi$
$647$	34.1070	+	11.0820i	1.34088	+	0.435680i	0.451268	+	0.892388i	$0.350972\pi$
$648$	2.27147	+	8.70864i	0.0892318	+	0.342108i
$649$	5.55321	+	7.32685i	0.217982	+	0.287604i
$650$			0.960005i			0.0376545i
$651$	38.5305	−	5.52122i	1.51013	−	0.216394i
$652$	−6.91743	+	5.02581i	−0.270908	+	0.196826i
$653$	−1.38621	+	1.90795i	−0.0542465	+	0.0746639i	−0.835278	−	0.549827i	$-0.814694\pi$
$653$	−1.38621	+	1.90795i	−0.0542465	+	0.0746639i	0.781032	+	0.624491i	$0.214694\pi$
$654$	−0.873335	+	0.847938i	−0.0341501	+	0.0331570i
$655$	−9.72101	+	3.15855i	−0.379831	+	0.123415i
$656$	6.42001	+	4.66441i	0.250659	+	0.182115i
$657$	7.43602	+	0.219480i	0.290107	+	0.00856273i
$658$	−3.57087	+	10.9900i	−0.139207	+	0.428435i
$659$	8.51039			0.331518			0.165759	−	0.986166i	$-0.446993\pi$
$659$	8.51039			0.331518			0.165759	+	0.986166i	$0.446993\pi$
$660$	−5.58643	−	10.8170i	−0.217451	−	0.421050i
$661$	42.4546			1.65129			0.825646	−	0.564189i	$-0.190811\pi$
$661$	42.4546			1.65129			0.825646	+	0.564189i	$0.190811\pi$
$662$	1.55634	−	4.78991i	0.0604888	−	0.186165i
$663$	14.9091	+	7.87574i	0.579021	+	0.305868i
$664$	−5.55630	−	4.03689i	−0.215626	−	0.156662i
$665$	1.66520	−	0.541056i	0.0645736	−	0.0209812i
$666$	24.9302	+	8.92171i	0.966026	+	0.345709i
$667$	−12.1790	+	16.7630i	−0.471574	+	0.649066i
$668$	1.33161	−	0.967474i	0.0515217	−	0.0374327i
$669$	0.0123709	+	0.0863315i	0.000478285	+	0.00333777i
$670$		−	21.1588i		−	0.817438i
$671$	0.108650	+	5.36848i	0.00419439	+	0.207248i
$672$	−2.61803	−	5.33119i	−0.100993	−	0.205655i
$673$	45.4817	+	14.7779i	1.75319	+	0.569646i	0.996459	−	0.0840801i	$-0.0267952\pi$
$673$	45.4817	+	14.7779i	1.75319	+	0.569646i	0.756731	+	0.653726i	$0.226795\pi$
$674$	10.3769	+	14.2826i	0.399704	+	0.550146i
$675$	1.94969	−	1.78431i	0.0750435	−	0.0686781i
$676$	2.91638	+	8.97570i	0.112169	+	0.345219i
$677$	−1.70016	−	5.23254i	−0.0653423	−	0.201103i	0.913055	−	0.407837i	$-0.133717\pi$
$677$	−1.70016	−	5.23254i	−0.0653423	−	0.201103i	−0.978397	+	0.206734i	$0.933717\pi$
$678$	1.26882	−	7.31122i	0.0487289	−	0.280786i
$679$	−26.6497	−	36.6802i	−1.02272	−	1.40766i
$680$	−10.3958	−	3.37781i	−0.398662	−	0.129533i
$681$	22.2130	−	10.9083i	0.851205	−	0.418009i
$682$	−17.3226	+	13.1292i	−0.663315	+	0.502744i
$683$			40.1110i			1.53480i	0.641166	+	0.767402i	$0.278451\pi$
$683$			40.1110i			1.53480i	−0.641166	+	0.767402i	$0.721549\pi$
$684$	0.597032	−	0.407411i	0.0228281	−	0.0155777i
$685$	30.9613	−	22.4947i	1.18297	−	0.859479i
$686$	4.51776	−	6.21817i	0.172489	−	0.237411i
$687$	36.4890	+	37.5819i	1.39214	+	1.43384i
$688$	6.19693	−	2.01350i	0.236256	−	0.0767641i
$689$	9.48940	+	6.89445i	0.361517	+	0.262658i
$690$	−8.52249	+	16.1334i	−0.324446	+	0.614188i
$691$	9.77418	−	30.0818i	0.371827	−	1.14437i	−0.573767	−	0.819019i	$-0.694518\pi$
$691$	9.77418	−	30.0818i	0.371827	−	1.14437i	0.945594	−	0.325348i	$-0.105482\pi$
$692$	3.50863			0.133378
$693$	−10.8437	+	32.3498i	−0.411918	+	1.22887i
$694$	15.0268			0.570411
$695$	0.647936	−	1.99414i	0.0245776	−	0.0756421i
$696$	3.37235	−	6.38399i	0.127829	−	0.241984i
$697$	−33.1131	−	24.0580i	−1.25425	−	0.911263i
$698$	−3.32413	+	1.08008i	−0.125820	+	0.0408815i
$699$	−3.41253	−	3.51474i	−0.129074	−	0.132940i
$700$	−1.02518	+	1.41103i	−0.0387480	+	0.0533321i
$701$	−12.7136	+	9.23696i	−0.480185	+	0.348875i	−0.801397	−	0.598132i	$-0.795910\pi$
$701$	−12.7136	+	9.23696i	−0.480185	+	0.348875i	0.321212	+	0.947007i	$0.395910\pi$
$702$	−4.83474	+	8.53287i	−0.182475	+	0.322052i
$703$		−	2.12650i		−	0.0802025i
$704$	2.72210	+	1.89477i	0.102593	+	0.0714119i
$705$	−11.1033	+	5.45258i	−0.418174	+	0.205356i
$706$	24.0307	+	7.80805i	0.904407	+	0.293860i
$707$	−4.95878	−	6.82517i	−0.186494	−	0.256687i
$708$	−0.820945	+	4.73045i	−0.0308530	+	0.177781i
$709$	1.83617	+	5.65115i	0.0689588	+	0.212233i	0.979597	−	0.200971i	$-0.0644096\pi$
$709$	1.83617	+	5.65115i	0.0689588	+	0.212233i	−0.910638	+	0.413204i	$0.864410\pi$
$710$	6.52249	+	20.0742i	0.244785	+	0.753370i
$711$	−9.54399	−	32.6181i	−0.357928	−	1.22328i
$712$	1.45332	+	2.00032i	0.0544655	+	0.0749653i
$713$	30.9818	+	10.0666i	1.16028	+	0.376997i
$714$	13.5033	+	27.4971i	0.505347	+	1.02905i
$715$	3.84343	−	12.6976i	0.143736	−	0.474862i
$716$		−	13.2729i		−	0.496031i
$717$	−0.278941	−	1.94662i	−0.0104172	−	0.0726979i
$718$	15.6095	−	11.3409i	0.582540	−	0.423240i
$719$	−18.1483	+	24.9789i	−0.676816	+	0.931557i	−0.999890	−	0.0148168i	$-0.995284\pi$
$719$	−18.1483	+	24.9789i	−0.676816	+	0.931557i	0.323075	+	0.946373i	$0.395284\pi$
$720$	2.14222	−	5.98608i	0.0798360	−	0.223088i
$721$	−15.0326	+	4.88439i	−0.559844	+	0.181904i
$722$	15.3244	+	11.1338i	0.570314	+	0.414357i
$723$	−23.0435	−	12.1728i	−0.856998	−	0.452711i
$724$	−2.29709	+	7.06971i	−0.0853706	+	0.262744i
$725$	−2.12020			−0.0787424
$726$	−3.46340	−	18.7351i	−0.128539	−	0.695326i
$727$	−23.3566			−0.866249			−0.433124	−	0.901334i	$-0.642589\pi$
$727$	−23.3566			−0.866249			−0.433124	+	0.901334i	$0.642589\pi$
$728$	2.00000	−	6.15537i	0.0741249	−	0.228133i
$729$	26.3156	−	6.04065i	0.974652	−	0.223728i
$730$	−4.25163	−	3.08899i	−0.157360	−	0.114329i
$731$	−31.9624	+	10.3852i	−1.18217	+	0.384111i
$732$	−2.01189	+	1.95338i	−0.0743615	+	0.0721990i
$733$	24.3752	−	33.5495i	0.900317	−	1.23918i	−0.0700499	−	0.997543i	$-0.522316\pi$
$733$	24.3752	−	33.5495i	0.900317	−	1.23918i	0.970367	−	0.241636i	$-0.0776842\pi$
$734$	−0.726385	+	0.527749i	−0.0268114	+	0.0194796i
$735$	−17.2907	+	2.47766i	−0.637776	+	0.0913900i
$736$		−	4.97072i		−	0.183223i
$737$	9.59317	−	31.6930i	0.353369	−	1.16743i
$738$	14.5554	−	18.8388i	0.535791	−	0.693466i
$739$	29.5635	+	9.60577i	1.08751	+	0.353354i	0.797284	−	0.603604i	$-0.206269\pi$
$739$	29.5635	+	9.60577i	1.08751	+	0.353354i	0.290227	+	0.956958i	$0.406269\pi$
$740$	−10.9946	−	15.1328i	−0.404170	−	0.556293i
$741$	0.776034	+	0.134677i	0.0285083	+	0.00494747i
$742$	6.58521	+	20.2672i	0.241751	+	0.744032i
$743$	9.47940	+	29.1746i	0.347765	+	1.07031i	0.960087	+	0.279703i	$0.0902360\pi$
$743$	9.47940	+	29.1746i	0.347765	+	1.07031i	−0.612321	+	0.790609i	$0.709764\pi$
$744$	−11.1840	−	1.94093i	−0.410026	−	0.0711578i
$745$	17.4236	+	23.9815i	0.638350	+	0.878614i
$746$	−25.0515	−	8.13972i	−0.917200	−	0.298016i
$747$	−12.5972	+	16.3043i	−0.460906	+	0.596544i
$748$	−14.0400	−	9.77282i	−0.513354	−	0.357330i
$749$		−	62.1868i		−	2.27226i
$750$	−20.0161	+	2.86821i	−0.730886	+	0.104732i
$751$	6.03982	−	4.38818i	0.220396	−	0.160127i	−0.472109	−	0.881540i	$-0.656507\pi$
$751$	6.03982	−	4.38818i	0.220396	−	0.160127i	0.692505	+	0.721413i	$0.256507\pi$
$752$	1.98077	−	2.72629i	0.0722311	−	0.0994176i
$753$	−11.9750	+	11.6268i	−0.436393	+	0.423702i
$754$	7.48259	−	2.43124i	0.272500	−	0.0885406i
$755$	−10.8504	−	7.88330i	−0.394888	−	0.286903i
$756$	−16.2183	+	7.37883i	−0.589855	+	0.268365i
$757$	−7.21548	+	22.2070i	−0.262251	+	0.807126i	0.730063	+	0.683380i	$0.239491\pi$
$757$	−7.21548	+	22.2070i	−0.262251	+	0.807126i	−0.992314	+	0.123746i	$0.960509\pi$
$758$	2.66498			0.0967965
$759$	−20.0802	+	20.3016i	−0.728864	+	0.736900i
$760$	−0.510602			−0.0185215
$761$	2.97052	−	9.14231i	0.107681	−	0.331408i	−0.882669	−	0.469995i	$-0.844256\pi$
$761$	2.97052	−	9.14231i	0.107681	−	0.331408i	0.990350	+	0.138586i	$0.0442558\pi$
$762$	−26.8605	−	14.1891i	−0.973053	−	0.514016i
$763$	−1.94965	−	1.41650i	−0.0705820	−	0.0512808i
$764$	−2.46344	+	0.800420i	−0.0891241	+	0.0289582i
$765$	−11.0491	+	30.8749i	−0.399482	+	1.11629i
$766$	19.2253	−	26.4614i	0.694639	−	0.956088i
$767$	−4.23266	+	3.07521i	−0.152833	+	0.111039i
$768$	0.245684	+	1.71454i	0.00886537	+	0.0618680i
$769$		−	34.6298i		−	1.24878i	−0.781112	−	0.624391i	$-0.785347\pi$
$769$		−	34.6298i		−	1.24878i	0.781112	−	0.624391i	$-0.214653\pi$
$770$	19.2087	−	14.5588i	0.692234	−	0.524662i
$771$	−10.1969	−	20.7643i	−0.367233	−	0.747809i
$772$	−18.5702	−	6.03383i	−0.668357	−	0.217162i
$773$	7.96896	+	10.9683i	0.286624	+	0.394504i	0.927914	−	0.372795i	$-0.121600\pi$
$773$	7.96896	+	10.9683i	0.286624	+	0.394504i	−0.641290	+	0.767299i	$0.721600\pi$
$774$	−5.48940	−	18.7609i	−0.197312	−	0.674347i
$775$	1.03007	+	3.17022i	0.0370011	+	0.113878i
$776$	4.08582	+	12.5749i	0.146672	+	0.451411i
$777$	−8.96350	+	51.6496i	−0.321564	+	1.85292i
$778$	0.990218	+	1.36292i	0.0355010	+	0.0488630i
$779$	−1.81835	−	0.590818i	−0.0651492	−	0.0211683i
$780$	6.21881	−	3.05392i	0.222669	−	0.109348i
$781$	0.668387	+	33.0255i	0.0239168	+	1.18174i
$782$			25.6379i			0.916810i
$783$	−18.8451	−	10.6777i	−0.673470	−	0.381589i
$784$	3.84975	−	2.79701i	0.137491	−	0.0998932i
$785$	4.61925	−	6.35786i	0.164868	−	0.226922i
$786$	−5.81913	−	5.99343i	−0.207562	−	0.213778i
$787$	−17.6164	+	5.72391i	−0.627957	+	0.204036i	−0.605670	−	0.795716i	$-0.707095\pi$
$787$	−17.6164	+	5.72391i	−0.627957	+	0.204036i	−0.0222870	+	0.999752i	$0.507095\pi$
$788$	4.35828	+	3.16647i	0.155257	+	0.112801i
$789$	7.55361	−	14.2993i	0.268916	−	0.509067i
$790$	−7.41903	+	22.8334i	−0.263957	+	0.812377i
$791$	14.6909			0.522350
$792$	5.92277	−	7.99505i	0.210456	−	0.284092i
$793$	−3.05573			−0.108512
$794$	2.74789	−	8.45713i	0.0975189	−	0.300132i
$795$	−10.6551	+	20.1705i	−0.377897	+	0.715374i
$796$	−5.97631	−	4.34204i	−0.211825	−	0.153900i
$797$	49.0135	−	15.9254i	1.73615	−	0.564108i	0.741831	−	0.670587i	$-0.233958\pi$
$797$	49.0135	−	15.9254i	1.73615	−	0.564108i	0.994315	+	0.106479i	$0.0339578\pi$
$798$	0.996811	+	1.02667i	0.0352867	+	0.0363436i
$799$	−10.2164	+	14.0616i	−0.361429	+	0.497465i
$800$	0.411491	−	0.298966i	0.0145484	−	0.0105700i
$801$	6.12699	−	4.18102i	0.216487	−	0.147729i
$802$		−	19.5587i		−	0.690642i
$803$	−4.96783	−	6.55451i	−0.175311	−	0.231303i
$804$	15.5221	−	7.62256i	0.547421	−	0.268827i
$805$	−34.3552	−	11.1627i	−1.21086	−	0.393432i
$806$	−7.27059	−	10.0071i	−0.256096	−	0.352485i
$807$	−4.03519	+	23.2516i	−0.142046	+	0.818496i
$808$	0.760259	+	2.33984i	0.0267458	+	0.0823151i
$809$	−10.8032	−	33.2488i	−0.379820	−	1.16897i	−0.940169	−	0.340709i	$-0.889333\pi$
$809$	−10.8032	−	33.2488i	−0.379820	−	1.16897i	0.560348	−	0.828257i	$-0.310667\pi$
$810$	−17.7608	−	6.95370i	−0.624052	−	0.244328i
$811$	−10.5779	−	14.5592i	−0.371440	−	0.511243i	0.581852	−	0.813295i	$-0.302328\pi$
$811$	−10.5779	−	14.5592i	−0.371440	−	0.511243i	−0.953291	+	0.302052i	$0.902328\pi$
$812$	13.5943	+	4.41707i	0.477068	+	0.155009i
$813$	−3.58154	−	7.29320i	−0.125610	−	0.255784i
$814$	−9.60737	−	27.6516i	−0.336738	−	0.969189i
$815$		−	18.1208i		−	0.634743i
$816$	−1.26719	−	8.84322i	−0.0443604	−	0.309574i
$817$	−1.27005	+	0.922745i	−0.0444334	+	0.0322828i
$818$	−14.5460	+	20.0208i	−0.508588	+	0.700011i
$819$	−18.2810	−	6.54219i	−0.638791	−	0.228603i
$820$	−15.9946	+	5.19697i	−0.558557	+	0.181486i
$821$	7.34398	+	5.33572i	0.256307	+	0.186218i	0.708517	−	0.705693i	$-0.249364\pi$
$821$	7.34398	+	5.33572i	0.256307	+	0.186218i	−0.452210	+	0.891911i	$0.649364\pi$
$822$	27.6560	+	14.6093i	0.964614	+	0.509559i
$823$	−0.237770	+	0.731782i	−0.00828815	+	0.0255083i	−0.955115	−	0.296235i	$-0.904269\pi$
$823$	−0.237770	+	0.731782i	−0.00828815	+	0.0255083i	0.946827	+	0.321743i	$0.104269\pi$
$824$	4.60947			0.160578
$825$	−2.88835	−	0.441252i	−0.100560	−	0.0153624i
$826$	−9.50523			−0.330729
$827$	−15.2780	+	47.0207i	−0.531267	+	1.63507i	0.220314	+	0.975429i	$0.429292\pi$
$827$	−15.2780	+	47.0207i	−0.531267	+	1.63507i	−0.751581	+	0.659641i	$0.770708\pi$
$828$	−14.9057	−	0.439953i	−0.518008	−	0.0152894i
$829$	14.2060	+	10.3212i	0.493393	+	0.358471i	0.806488	−	0.591251i	$-0.201366\pi$
$829$	14.2060	+	10.3212i	0.493393	+	0.358471i	−0.313095	+	0.949722i	$0.601366\pi$
$830$	13.8428	−	4.49779i	0.480490	−	0.156121i
$831$	−10.2917	+	9.99243i	−0.357016	+	0.346633i
$832$	−1.10940	+	1.52696i	−0.0384616	+	0.0529379i
$833$	−19.8562	+	14.4264i	−0.687976	+	0.499844i
$834$	1.69632	−	0.243074i	0.0587387	−	0.00841695i
$835$			3.48827i			0.120717i
$836$	−0.764810	−	0.231501i	−0.0264515	−	0.00800662i
$837$	−6.81013	+	33.3656i	−0.235392	+	1.15329i
$838$	33.1407	+	10.7681i	1.14483	+	0.371977i
$839$	0.712228	+	0.980298i	0.0245888	+	0.0338436i	0.821134	−	0.570735i	$-0.193342\pi$
$839$	0.712228	+	0.980298i	0.0245888	+	0.0338436i	−0.796546	+	0.604578i	$0.793342\pi$
$840$	12.4018	+	2.15226i	0.427902	+	0.0742600i
$841$	−3.59201	−	11.0551i	−0.123863	−	0.381210i
$842$	−5.42375	−	16.6926i	−0.186915	−	0.575265i
$843$	21.6133	+	3.75088i	0.744403	+	0.129187i
$844$	5.03276	+	6.92699i	0.173235	+	0.238437i
$845$	−19.0221	−	6.18065i	−0.654379	−	0.212621i
$846$	−8.00000	−	6.18102i	−0.275046	−	0.212508i
$847$	35.3727	−	13.0980i	1.21542	−	0.450052i
$848$		−	6.21456i		−	0.213409i
$849$	38.7651	−	5.55484i	1.33041	−	0.190641i
$850$	−2.12238	+	1.54200i	−0.0727971	+	0.0528902i
$851$	−25.7876	+	35.4935i	−0.883987	+	1.21670i
$852$	−12.3766	+	12.0167i	−0.424015	+	0.411685i
$853$	2.04187	−	0.663444i	0.0699123	−	0.0227159i	−0.273852	−	0.961772i	$-0.588298\pi$
$853$	2.04187	−	0.663444i	0.0699123	−	0.0227159i	0.343764	+	0.939056i	$0.388298\pi$
$854$	−4.49137	−	3.26317i	−0.153691	−	0.111663i
$855$	−0.0451928	+	1.53114i	−0.00154556	+	0.0523638i
$856$	−5.60407	+	17.2475i	−0.191543	+	0.589509i
$857$	−55.7274			−1.90361			−0.951805	−	0.306704i	$-0.900774\pi$
$857$	−55.7274			−1.90361			−0.951805	+	0.306704i	$0.900774\pi$
$858$	10.6995	−	1.75482i	0.365275	−	0.0599084i
$859$	−36.2927			−1.23829			−0.619146	−	0.785276i	$-0.712521\pi$
$859$	−36.2927			−1.23829			−0.619146	+	0.785276i	$0.712521\pi$
$860$	−4.26719	+	13.1331i	−0.145510	+	0.447833i
$861$	41.6747	+	22.0147i	1.42027	+	0.750259i
$862$	27.0376	+	19.6440i	0.920905	+	0.669077i
$863$	29.6543	−	9.63527i	1.00944	−	0.327988i	0.242811	−	0.970074i	$-0.421930\pi$
$863$	29.6543	−	9.63527i	1.00944	−	0.327988i	0.766633	+	0.642085i	$0.221930\pi$
$864$	5.16312	−	0.584981i	0.175653	−	0.0199015i
$865$	−4.37065	+	6.01568i	−0.148606	+	0.204539i
$866$	21.9952	−	15.9805i	0.747428	−	0.543039i
$867$	2.35924	+	16.4643i	0.0801242	+	0.559156i
$868$		−	22.4728i		−	0.762777i
$869$	−21.4651	+	30.8375i	−0.728152	+	1.04609i
$870$	6.74470	+	13.7345i	0.228667	+	0.465642i
$871$	17.9217	+	5.82312i	0.607254	+	0.197309i
$872$	0.413086	+	0.568564i	0.0139888	+	0.0192540i
$873$	38.0698	−	11.1391i	1.28847	−	0.377003i
$874$	0.370079	+	1.13899i	0.0125181	+	0.0385268i
$875$	−12.3706	−	38.0729i	−0.418204	−	1.28710i
$876$	0.734407	−	4.23180i	0.0248133	−	0.142979i
$877$	−10.8949	−	14.9956i	−0.367895	−	0.506365i	0.584432	−	0.811443i	$-0.301317\pi$
$877$	−10.8949	−	14.9956i	−0.367895	−	0.506365i	−0.952327	+	0.305078i	$0.901317\pi$
$878$	12.7506	+	4.14293i	0.430313	+	0.139817i
$879$	39.0105	−	19.1572i	1.31579	−	0.646157i
$880$	−6.63954	+	2.30686i	−0.223819	+	0.0777643i
$881$			22.0893i			0.744207i	0.928191	+	0.372103i	$0.121363\pi$
$881$			22.0893i			0.744207i	−0.928191	+	0.372103i	$0.878637\pi$
$882$	−8.04664	−	11.7918i	−0.270944	−	0.397050i
$883$	−35.3330	+	25.6709i	−1.18905	+	0.863894i	−0.993163	−	0.116733i	$-0.962758\pi$
$883$	−35.3330	+	25.6709i	−1.18905	+	0.863894i	−0.195885	+	0.980627i	$0.562758\pi$
$884$	5.72206	−	7.87574i	0.192454	−	0.264890i
$885$	−7.08790	−	7.30019i	−0.238257	−	0.245393i
$886$	−17.5311	+	5.69619i	−0.588968	+	0.191367i
$887$	−6.82936	−	4.96182i	−0.229307	−	0.166602i	0.467199	−	0.884152i	$-0.345263\pi$
$887$	−6.82936	−	4.96182i	−0.229307	−	0.166602i	−0.696506	+	0.717551i	$0.745263\pi$
$888$	7.14052	−	13.5173i	0.239620	−	0.453610i
$889$	18.5847	−	57.1979i	0.623312	−	1.91836i
$890$	−5.24001			−0.175646
$891$	−23.4505	−	18.4682i	−0.785621	−	0.618708i
$892$	0.0503526			0.00168593
$893$	−0.250894	+	0.772172i	−0.00839585	+	0.0258398i
$894$	−11.3158	+	21.4213i	−0.378458	+	0.716436i
$895$	22.7569	+	16.5338i	0.760678	+	0.552665i
$896$	−3.26124	+	1.05964i	−0.108951	+	0.0354002i
$897$	−11.3196	−	11.6587i	−0.377952	−	0.389272i
$898$	17.8510	−	24.5698i	0.595697	−	0.819906i
$899$	22.1011	−	16.0574i	0.737112	−	0.535543i
$900$	−0.860086	−	1.26040i	−0.0286695	−	0.0420132i
$901$			32.0534i			1.06785i
$902$	−26.3139	+	0.532555i	−0.876158	+	0.0177321i
$903$	34.7371	−	17.0587i	1.15598	−	0.567677i
$904$	−4.07454	−	1.32390i	−0.135517	−	0.0440322i
$905$	−9.25984	−	12.7451i	−0.307808	−	0.423661i
$906$	1.87425	−	10.7998i	0.0622679	−	0.358800i
$907$	−3.70460	−	11.4016i	−0.123009	−	0.378583i	0.870524	−	0.492126i	$-0.163780\pi$
$907$	−3.70460	−	11.4016i	−0.123009	−	0.378583i	−0.993533	+	0.113543i	$0.963780\pi$
$908$	−4.41512	−	13.5884i	−0.146521	−	0.450945i
$909$	7.08374	−	2.07269i	0.234953	−	0.0687467i
$910$	8.06224	+	11.0967i	0.267261	+	0.367853i
$911$	27.1492	+	8.82132i	0.899494	+	0.292263i	0.722028	−	0.691864i	$-0.243210\pi$
$911$	27.1492	+	8.82132i	0.899494	+	0.292263i	0.177466	+	0.984127i	$0.443210\pi$
$912$	−0.183946	−	0.374576i	−0.00609108	−	0.0124035i
$913$	22.7738	−	0.460908i	0.753702	−	0.0152538i
$914$			34.6878i			1.14737i
$915$	−0.842968	−	5.88275i	−0.0278677	−	0.194478i
$916$	24.4668	−	17.7761i	0.808405	−	0.587340i
$917$	9.72101	−	13.3798i	0.321016	−	0.441841i
$918$	−26.6303	+	3.01721i	−0.878929	+	0.0995826i
$919$	52.3547	−	17.0111i	1.72702	−	0.561143i	0.734008	−	0.679141i	$-0.237648\pi$
$919$	52.3547	−	17.0111i	1.72702	−	0.561143i	0.993014	+	0.117998i	$0.0376475\pi$
$920$	8.52249	+	6.19195i	0.280978	+	0.204143i
$921$	−24.6084	−	12.9994i	−0.810873	−	0.428345i
$922$	6.45155	−	19.8558i	0.212471	−	0.653917i
$923$	−18.7980			−0.618745
$924$	17.6003	+	8.84659i	0.579007	+	0.291032i
$925$	−4.48926			−0.147606
$926$	−1.89851	+	5.84302i	−0.0623890	+	0.192013i
$927$	0.407979	−	13.8224i	0.0133998	−	0.453987i
$928$	−3.37235	−	2.45016i	−0.110703	−	0.0804303i
$929$	−10.6108	+	3.44764i	−0.348128	+	0.113114i	−0.477861	−	0.878435i	$-0.658588\pi$
$929$	−10.6108	+	3.44764i	−0.348128	+	0.113114i	0.129734	+	0.991549i	$0.458588\pi$
$930$	17.2595	−	16.7576i	0.565963	−	0.549504i
$931$	−0.673887	+	0.927526i	−0.0220858	+	0.0303984i
$932$	−2.28819	+	1.66247i	−0.0749521	+	0.0544559i
$933$	−16.5033	+	2.36483i	−0.540292	+	0.0774211i
$934$			34.8047i			1.13885i
$935$	34.2453	−	11.8983i	1.11994	−	0.389116i
$936$	4.48070	+	3.46191i	0.146456	+	0.113156i
$937$	−30.0019	−	9.74821i	−0.980120	−	0.318460i	−0.225225	−	0.974307i	$-0.572312\pi$
$937$	−30.0019	−	9.74821i	−0.980120	−	0.318460i	−0.754894	+	0.655847i	$0.772312\pi$
$938$	20.1233	+	27.6973i	0.657048	+	0.904349i
$939$	34.3253	+	5.95697i	1.12016	+	0.194399i
$940$	2.20692	+	6.79220i	0.0719818	+	0.221537i
$941$	−15.7950	−	48.6119i	−0.514901	−	1.58470i	−0.783462	−	0.621440i	$-0.786548\pi$
$941$	−15.7950	−	48.6119i	−0.514901	−	1.58470i	0.268560	−	0.963263i	$-0.413452\pi$
$942$	6.32821	+	1.09823i	0.206184	+	0.0357822i
$943$	23.1855	+	31.9121i	0.755024	+	1.03920i
$944$	2.63628	+	0.856580i	0.0858037	+	0.0278793i
$945$	7.55164	−	36.9986i	0.245655	−	1.20356i
$946$	−12.3460	+	17.7368i	−0.401404	+	0.576672i
$947$			23.9467i			0.778162i	0.921204	+	0.389081i	$0.127207\pi$
$947$			23.9467i			0.778162i	−0.921204	+	0.389081i	$0.872793\pi$
$948$	−19.4233	+	2.78326i	−0.630838	+	0.0903959i
$949$	3.78649	−	2.75104i	0.122915	−	0.0893027i
$950$	−0.0720302	+	0.0991411i	−0.00233697	+	0.00321656i
$951$	−22.9289	+	22.2621i	−0.743520	+	0.721899i
$952$	16.8208	−	5.46541i	0.545165	−	0.177135i
$953$	−16.1924	−	11.7645i	−0.524524	−	0.381089i	0.293781	−	0.955873i	$-0.405086\pi$
$953$	−16.1924	−	11.7645i	−0.524524	−	0.381089i	−0.818306	+	0.574784i	$0.805086\pi$
$954$	−18.6356	−	0.550043i	−0.603349	−	0.0178083i
$955$	1.69632	−	5.22073i	0.0548915	−	0.168939i
$956$	−1.13536			−0.0367203
$957$	3.87557	+	23.6302i	0.125279	+	0.763857i
$958$	−34.8328			−1.12540
$959$	−19.1351	+	58.8919i	−0.617906	+	1.90172i
$960$	−3.24568	−	1.71454i	−0.104754	−	0.0553365i
$961$	−9.66758	−	7.02390i	−0.311857	−	0.226578i
$962$	15.8434	−	5.14784i	0.510813	−	0.165973i
$963$	51.2241	+	18.3314i	1.65067	+	0.590723i
$964$	−8.84404	+	12.1728i	−0.284847	+	0.392059i
$965$	33.4779	−	24.3231i	1.07769	−	0.782988i
$966$	−4.18769	−	29.2243i	−0.134737	−	0.940275i
$967$			48.8703i			1.57156i	0.618505	+	0.785781i	$0.287739\pi$
$967$			48.8703i			1.57156i	−0.618505	+	0.785781i	$0.712261\pi$
$968$	−10.9910	+	0.445065i	−0.353264	+	0.0143049i
$969$	0.948756	+	1.93198i	0.0304784	+	0.0620642i
$970$	−26.6497	−	8.65902i	−0.855671	−	0.278024i
$971$	−16.0664	−	22.1135i	−0.515595	−	0.709656i	0.469255	−	0.883063i	$-0.344522\pi$
$971$	−16.0664	−	22.1135i	−0.515595	−	0.709656i	−0.984850	+	0.173407i	$0.944522\pi$
$972$	−1.29720	−	15.5344i	−0.0416076	−	0.498266i
$973$	1.04838	+	3.22659i	0.0336096	+	0.103440i
$974$	1.78176	+	5.48370i	0.0570913	+	0.175709i
$975$	0.284316	−	1.63829i	0.00910541	−	0.0524673i
$976$	0.951618	+	1.30979i	0.0304606	+	0.0419254i
$977$	−14.7096	−	4.77945i	−0.470603	−	0.152908i	0.0641084	−	0.997943i	$-0.479580\pi$
$977$	−14.7096	−	4.77945i	−0.470603	−	0.152908i	−0.534711	+	0.845035i	$0.679580\pi$
$978$	13.2933	−	6.52808i	0.425074	−	0.208745i
$979$	−7.84880	−	2.37576i	−0.250849	−	0.0759295i
$980$			10.0847i			0.322145i
$981$	1.74151	−	1.18839i	0.0556021	−	0.0379425i
$982$	−8.42871	+	6.12382i	−0.268971	+	0.195419i
$983$	25.9872	−	35.7683i	0.828863	−	1.14083i	−0.159271	−	0.987235i	$-0.550914\pi$
$983$	25.9872	−	35.7683i	0.828863	−	1.14083i	0.988134	−	0.153597i	$-0.0490857\pi$
$984$	−9.57461	−	9.86138i	−0.305227	−	0.314369i
$985$	−10.8581	+	3.52800i	−0.345967	+	0.112411i
$986$	17.3939	+	12.6374i	0.553933	+	0.402456i
$987$	9.34866	−	17.6974i	0.297571	−	0.563313i
$988$	0.140523	−	0.432484i	0.00447062	−	0.0137591i
$989$	32.3884			1.02989
$990$	6.32991	+	20.1141i	0.201178	+	0.639269i
$991$	−36.1335			−1.14782			−0.573909	−	0.818919i	$-0.694574\pi$
$991$	−36.1335			−1.14782			−0.573909	+	0.818919i	$0.694574\pi$
$992$	−2.02518	+	6.23285i	−0.0642994	+	0.197893i
$993$	−4.07454	+	7.71326i	−0.129302	+	0.244773i
$994$	−27.6297	−	20.0742i	−0.876361	−	0.636714i
$995$	14.8892	−	4.83779i	0.472019	−	0.153368i
$996$	8.28649	+	8.53468i	0.262567	+	0.270432i
$997$	4.77670	−	6.57457i	0.151280	−	0.208219i	−0.726650	−	0.687007i	$-0.758924\pi$
$997$	4.77670	−	6.57457i	0.151280	−	0.208219i	0.877930	+	0.478789i	$0.158924\pi$
$998$	−17.7151	+	12.8708i	−0.560763	+	0.407418i
$999$	−39.9022	−	22.6086i	−1.26245	−	0.715306i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	66.2.h.b.35.1	yes	8
3.2	odd	2		66.2.h.a.35.2	yes	8
4.3	odd	2		528.2.bn.a.497.2		8
11.2	odd	10		726.2.h.c.239.1		8
11.3	even	5		726.2.h.f.161.2		8
11.4	even	5		726.2.b.c.725.4		8
11.5	even	5		726.2.h.j.215.2		8
11.6	odd	10		66.2.h.a.17.2	✓	8
11.7	odd	10		726.2.b.e.725.4		8
11.8	odd	10		726.2.h.a.161.2		8
11.9	even	5		726.2.h.h.239.1		8
11.10	odd	2		726.2.h.d.233.1		8
12.11	even	2		528.2.bn.b.497.1		8
33.2	even	10		726.2.h.f.239.2		8
33.5	odd	10		726.2.h.d.215.2		8
33.8	even	10		726.2.h.h.161.1		8
33.14	odd	10		726.2.h.c.161.1		8
33.17	even	10	inner	66.2.h.b.17.2	yes	8
33.20	odd	10		726.2.h.a.239.2		8
33.26	odd	10		726.2.b.e.725.3		8
33.29	even	10		726.2.b.c.725.3		8
33.32	even	2		726.2.h.j.233.2		8
44.39	even	10		528.2.bn.b.17.1		8
132.83	odd	10		528.2.bn.a.17.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
66.2.h.a.17.2	✓	8	11.6	odd	10
66.2.h.a.35.2	yes	8	3.2	odd	2
66.2.h.b.17.2	yes	8	33.17	even	10	inner
66.2.h.b.35.1	yes	8	1.1	even	1	trivial
528.2.bn.a.17.1		8	132.83	odd	10
528.2.bn.a.497.2		8	4.3	odd	2
528.2.bn.b.17.1		8	44.39	even	10
528.2.bn.b.497.1		8	12.11	even	2
726.2.b.c.725.3		8	33.29	even	10
726.2.b.c.725.4		8	11.4	even	5
726.2.b.e.725.3		8	33.26	odd	10
726.2.b.e.725.4		8	11.7	odd	10
726.2.h.a.161.2		8	11.8	odd	10
726.2.h.a.239.2		8	33.20	odd	10
726.2.h.c.161.1		8	33.14	odd	10
726.2.h.c.239.1		8	11.2	odd	10
726.2.h.d.215.2		8	33.5	odd	10
726.2.h.d.233.1		8	11.10	odd	2
726.2.h.f.161.2		8	11.3	even	5
726.2.h.f.239.2		8	33.2	even	10
726.2.h.h.161.1		8	33.8	even	10
726.2.h.h.239.1		8	11.9	even	5
726.2.h.j.215.2		8	11.5	even	5
726.2.h.j.233.2		8	33.32	even	2

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:	\( N \)	\(=\)	\( 66 = 2 \cdot 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	66.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 - 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.01556 - 0.654895i) q^{5} +(1.20654 + 1.24268i) q^{6} +(-2.01556 + 2.77418i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 - 2.47802i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 - 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.01556 - 0.654895i) q^{5} +(1.20654 + 1.24268i) q^{6} +(-2.01556 + 2.77418i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 - 2.47802i) q^{9} +2.11929i q^{10} +(-0.960858 + 3.17439i) q^{11} +(-1.55470 + 0.763481i) q^{12} +(-1.79505 - 0.583248i) q^{13} +(-2.01556 - 2.77418i) q^{14} +(0.627650 - 3.61665i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-1.59384 - 4.90534i) q^{17} +(2.87928 - 0.842471i) q^{18} +(-0.141616 - 0.194917i) q^{19} +(-2.01556 - 0.654895i) q^{20} +(2.61803 + 5.33119i) q^{21} +(-2.72210 - 1.89477i) q^{22} +4.97072i q^{23} +(-0.245684 - 1.71454i) q^{24} +(-0.411491 + 0.298966i) q^{25} +(1.10940 - 1.52696i) q^{26} +(-5.16312 + 0.584981i) q^{27} +(3.26124 - 1.05964i) q^{28} +(3.37235 + 2.45016i) q^{29} +(3.24568 + 1.71454i) q^{30} +(2.02518 - 6.23285i) q^{31} -1.00000 q^{32} +(4.08423 + 4.03969i) q^{33} +5.15778 q^{34} +(-2.24568 + 6.91151i) q^{35} +(-0.0885088 + 2.99869i) q^{36} +(7.14052 + 5.18789i) q^{37} +(0.229139 - 0.0744518i) q^{38} +(-2.34547 + 2.27726i) q^{39} +(1.24568 - 1.71454i) q^{40} +(6.42001 - 4.66441i) q^{41} +(-5.87928 + 0.842471i) q^{42} -6.51583i q^{43} +(2.64321 - 2.00336i) q^{44} +(-5.03112 - 3.88718i) q^{45} +(-4.72744 - 1.53604i) q^{46} +(-1.98077 - 2.72629i) q^{47} +(1.70654 + 0.296161i) q^{48} +(-1.47047 - 4.52566i) q^{49} +(-0.157176 - 0.483737i) q^{50} +(-8.80198 - 1.52754i) q^{51} +(1.10940 + 1.52696i) q^{52} +(-5.91040 - 1.92040i) q^{53} +(1.03914 - 5.09119i) q^{54} +(0.142225 + 7.02743i) q^{55} +3.42908i q^{56} +(-0.413086 + 0.0591931i) q^{57} +(-3.37235 + 2.45016i) q^{58} +(1.62931 - 2.24256i) q^{59} +(-2.63359 + 2.55701i) q^{60} +(1.53975 - 0.500295i) q^{61} +(5.30198 + 3.85211i) q^{62} +(10.2827 + 0.303503i) q^{63} +(0.309017 - 0.951057i) q^{64} -4.00000 q^{65} +(-5.10407 + 2.63600i) q^{66} -9.98396 q^{67} +(-1.59384 + 4.90534i) q^{68} +(7.61266 + 4.02140i) q^{69} +(-5.87928 - 4.27155i) q^{70} +(9.47214 - 3.07768i) q^{71} +(-2.82458 - 1.01082i) q^{72} +(-1.45756 + 2.00616i) q^{73} +(-7.14052 + 5.18789i) q^{74} +(0.124963 + 0.872067i) q^{75} +0.240931i q^{76} +(-6.86966 - 9.06377i) q^{77} +(-1.44102 - 2.93439i) q^{78} +(10.7741 + 3.50072i) q^{79} +(1.24568 + 1.71454i) q^{80} +(-3.28115 + 8.38057i) q^{81} +(2.45223 + 7.54718i) q^{82} +(-2.12232 - 6.53182i) q^{83} +(1.01556 - 5.85186i) q^{84} +(-6.42497 - 8.84322i) q^{85} +(6.19693 + 2.01350i) q^{86} +(6.48070 - 3.18254i) q^{87} +(1.08851 + 3.13291i) q^{88} +2.47254i q^{89} +(5.25163 - 3.58367i) q^{90} +(5.23607 - 3.80423i) q^{91} +(2.92172 - 4.02140i) q^{92} +(-7.90721 - 8.14404i) q^{93} +(3.20495 - 1.04135i) q^{94} +(-0.413086 - 0.300124i) q^{95} +(-0.809017 + 1.53150i) q^{96} +(-4.08582 + 12.5749i) q^{97} +4.75856 q^{98} +(9.49099 - 2.98681i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

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