LMFDB - Embedded newform 583.2.q.b.21.14

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.14
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.14

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41584 - 0.441194i) q^{2} +(2.35020 + 1.05774i) q^{3} +(0.163990 + 0.113194i) q^{4} +(-1.38305 - 0.0836588i) q^{5} +(-2.86084 - 2.53449i) q^{6} +(-3.89495 + 2.04423i) q^{7} +(1.64693 + 2.10216i) q^{8} +(2.41526 + 2.72626i) q^{9} +(1.92126 + 0.728639i) q^{10} +(-3.17735 - 0.951027i) q^{11} +(0.265679 + 0.439486i) q^{12} +(1.78065 - 1.22909i) q^{13} +(6.41654 - 1.17587i) q^{14} +(-3.16194 - 1.65952i) q^{15} +(-1.54566 - 4.07557i) q^{16} +(-0.367965 - 3.03047i) q^{17} +(-2.21681 - 4.92555i) q^{18} +(1.01055 - 5.51442i) q^{19} +(-0.217335 - 0.170271i) q^{20} +(-11.3162 + 0.684502i) q^{21} +(4.07904 + 2.74833i) q^{22} +(-5.25989 - 5.25989i) q^{23} +(1.64709 + 6.68251i) q^{24} +(-3.05773 - 0.371276i) q^{25} +(-3.06339 + 0.954590i) q^{26} +(0.492437 + 1.58029i) q^{27} +(-0.870126 - 0.105652i) q^{28} +(-0.923152 + 0.227537i) q^{29} +(3.74464 + 3.74464i) q^{30} +(-2.46139 + 4.07164i) q^{31} +(0.0678131 + 1.12108i) q^{32} +(-6.46146 - 5.59591i) q^{33} +(-0.816044 + 4.45301i) q^{34} +(5.55791 - 2.50141i) q^{35} +(0.0874810 + 0.720471i) q^{36} +(-2.49802 + 0.947374i) q^{37} +(-3.86371 + 7.36169i) q^{38} +(5.48494 - 1.00515i) q^{39} +(-2.10192 - 3.04516i) q^{40} +(-1.12968 - 1.86872i) q^{41} +(16.3239 + 4.02348i) q^{42} +(-2.57647 + 6.79360i) q^{43} +(-0.413402 - 0.515615i) q^{44} +(-3.11233 - 3.97260i) q^{45} +(5.12654 + 9.76781i) q^{46} +(6.71252 + 5.94677i) q^{47} +(0.678279 - 11.2133i) q^{48} +(7.01533 - 10.1635i) q^{49} +(4.16546 + 1.87472i) q^{50} +(2.34065 - 7.51141i) q^{51} +0.431134 q^{52} +(-4.06926 - 6.03665i) q^{53} -2.45470i q^{54} +(4.31486 + 1.58113i) q^{55} +(-10.7120 - 4.82109i) q^{56} +(8.20782 - 11.8911i) q^{57} +(1.40743 + 0.0851336i) q^{58} +(-6.11407 + 6.90136i) q^{59} +(-0.330679 - 0.630056i) q^{60} +(6.99009 + 8.92220i) q^{61} +(5.28133 - 4.67885i) q^{62} +(-14.9804 - 5.68132i) q^{63} +(-1.68766 + 6.84712i) q^{64} +(-2.56554 + 1.55092i) q^{65} +(6.67953 + 10.7737i) q^{66} +(4.98087 - 0.912777i) q^{67} +(0.282688 - 0.538616i) q^{68} +(-6.79820 - 17.9254i) q^{69} +(-8.97274 + 1.08949i) q^{70} +(-13.6349 + 6.13656i) q^{71} +(-1.75326 + 9.56722i) q^{72} +(-3.24221 + 4.13838i) q^{73} +(3.95478 - 0.239220i) q^{74} +(-6.79356 - 4.10685i) q^{75} +(0.789918 - 0.789918i) q^{76} +(14.3197 - 2.79102i) q^{77} +(-8.20928 - 0.996787i) q^{78} +(2.32459 + 7.45987i) q^{79} +(1.79676 + 5.76600i) q^{80} +(0.802868 - 6.61221i) q^{81} +(0.774983 + 3.14423i) q^{82} +(-6.47399 - 6.47399i) q^{83} +(-1.93322 - 1.16867i) q^{84} +(0.255387 + 4.22206i) q^{85} +(6.64517 - 8.48194i) q^{86} +(-2.41027 - 0.441698i) q^{87} +(-3.23368 - 8.24556i) q^{88} +(0.423424 + 3.48721i) q^{89} +(2.65388 + 6.99772i) q^{90} +(-4.42300 + 8.42731i) q^{91} +(-0.267180 - 1.45795i) q^{92} +(-10.0915 + 6.96566i) q^{93} +(-6.88019 - 11.3812i) q^{94} +(-1.85897 + 7.54214i) q^{95} +(-1.02644 + 2.70650i) q^{96} +(2.14930 - 1.90411i) q^{97} +(-14.4167 + 11.2947i) q^{98} +(-5.08136 - 10.9593i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.41584	−	0.441194i	−1.00115	−	0.311972i	−0.247245	−	0.968953i	$-0.579525\pi$
$2$	−1.41584	−	0.441194i	−1.00115	−	0.311972i	−0.753907	+	0.656981i	$0.771833\pi$
$3$	2.35020	+	1.05774i	1.35689	+	0.610686i	0.952678	−	0.303981i	$-0.0983158\pi$
$3$	2.35020	+	1.05774i	1.35689	+	0.610686i	0.404210	+	0.914666i	$0.367547\pi$
$4$	0.163990	+	0.113194i	0.0819948	+	0.0565969i
$5$	−1.38305	−	0.0836588i	−0.618517	−	0.0374134i	−0.251851	−	0.967766i	$-0.581039\pi$
$5$	−1.38305	−	0.0836588i	−0.618517	−	0.0374134i	−0.366666	+	0.930353i	$0.619501\pi$
$6$	−2.86084	−	2.53449i	−1.16793	−	1.03470i
$7$	−3.89495	+	2.04423i	−1.47215	+	0.772646i	−0.994383	−	0.105839i	$-0.966247\pi$
$7$	−3.89495	+	2.04423i	−1.47215	+	0.772646i	−0.477770	+	0.878485i	$0.658555\pi$
$8$	1.64693	+	2.10216i	0.582279	+	0.743224i
$9$	2.41526	+	2.72626i	0.805086	+	0.908754i
$10$	1.92126	+	0.728639i	0.607557	+	0.230416i
$11$	−3.17735	−	0.951027i	−0.958007	−	0.286746i
$11$	−3.17735	−	0.951027i	−0.958007	−	0.286746i
$12$	0.265679	+	0.439486i	0.0766948	+	0.126869i
$13$	1.78065	−	1.22909i	0.493863	−	0.340889i	−0.294960	−	0.955510i	$-0.595306\pi$
$13$	1.78065	−	1.22909i	0.493863	−	0.340889i	0.788823	+	0.614621i	$0.210691\pi$
$14$	6.41654	−	1.17587i	1.71489	−	0.314266i
$15$	−3.16194	−	1.65952i	−0.816410	−	0.428485i
$16$	−1.54566	−	4.07557i	−0.386415	−	1.01889i
$17$	−0.367965	−	3.03047i	−0.0892447	−	0.734996i	−0.966802	−	0.255525i	$-0.917752\pi$
$17$	−0.367965	−	3.03047i	−0.0892447	−	0.734996i	0.877558	−	0.479471i	$-0.159171\pi$
$18$	−2.21681	−	4.92555i	−0.522508	−	1.16096i
$19$	1.01055	−	5.51442i	0.231837	−	1.26509i	−0.637336	−	0.770586i	$-0.719964\pi$
$19$	1.01055	−	5.51442i	0.231837	−	1.26509i	0.869173	−	0.494508i	$-0.164652\pi$
$20$	−0.217335	−	0.170271i	−0.0485977	−	0.0380738i
$21$	−11.3162	+	0.684502i	−2.46939	+	0.149371i
$22$	4.07904	+	2.74833i	0.869654	+	0.585947i
$23$	−5.25989	−	5.25989i	−1.09676	−	1.09676i	−0.994787	−	0.101976i	$-0.967484\pi$
$23$	−5.25989	−	5.25989i	−1.09676	−	1.09676i	−0.101976	−	0.994787i	$-0.532516\pi$
$24$	1.64709	+	6.68251i	0.336211	+	1.36406i
$25$	−3.05773	−	0.371276i	−0.611546	−	0.0742551i
$26$	−3.06339	+	0.954590i	−0.600780	+	0.187211i
$27$	0.492437	+	1.58029i	0.0947696	+	0.304126i
$28$	−0.870126	−	0.105652i	−0.164438	−	0.0199664i
$29$	−0.923152	+	0.227537i	−0.171425	+	0.0422525i	−0.324094	−	0.946025i	$-0.605059\pi$
$29$	−0.923152	+	0.227537i	−0.171425	+	0.0422525i	0.152669	+	0.988277i	$0.451213\pi$
$30$	3.74464	+	3.74464i	0.683675	+	0.683675i
$31$	−2.46139	+	4.07164i	−0.442079	+	0.731288i	−0.994775	−	0.102095i	$-0.967445\pi$
$31$	−2.46139	+	4.07164i	−0.442079	+	0.731288i	0.552695	+	0.833383i	$0.313599\pi$
$32$	0.0678131	+	1.12108i	0.0119878	+	0.198182i
$33$	−6.46146	−	5.59591i	−1.12480	−	0.974123i
$34$	−0.816044	+	4.45301i	−0.139950	+	0.763685i
$35$	5.55791	−	2.50141i	0.939459	−	0.422816i
$36$	0.0874810	+	0.720471i	0.0145802	+	0.120078i
$37$	−2.49802	+	0.947374i	−0.410672	+	0.155747i	−0.551284	−	0.834317i	$-0.685862\pi$
$37$	−2.49802	+	0.947374i	−0.410672	+	0.155747i	0.140612	+	0.990065i	$0.455093\pi$
$38$	−3.86371	+	7.36169i	−0.626777	+	1.19422i
$39$	5.48494	−	1.00515i	0.878293	−	0.160953i
$40$	−2.10192	−	3.04516i	−0.332343	−	0.481482i
$41$	−1.12968	−	1.86872i	−0.176427	−	0.291846i	0.755035	−	0.655684i	$-0.227620\pi$
$41$	−1.12968	−	1.86872i	−0.176427	−	0.291846i	−0.931462	+	0.363839i	$0.881466\pi$
$42$	16.3239	+	4.02348i	2.51883	+	0.620837i
$43$	−2.57647	+	6.79360i	−0.392908	+	1.03601i	0.581957	+	0.813219i	$0.302287\pi$
$43$	−2.57647	+	6.79360i	−0.392908	+	1.03601i	−0.974865	+	0.222794i	$0.928482\pi$
$44$	−0.413402	−	0.515615i	−0.0623227	−	0.0777319i
$45$	−3.11233	−	3.97260i	−0.463959	−	0.592200i
$46$	5.12654	+	9.76781i	0.755867	+	1.44018i
$47$	6.71252	+	5.94677i	0.979122	+	0.867426i	0.991183	−	0.132501i	$-0.0423009\pi$
$47$	6.71252	+	5.94677i	0.979122	+	0.867426i	−0.0120613	+	0.999927i	$0.503839\pi$
$48$	0.678279	−	11.2133i	0.0979012	−	1.61850i
$49$	7.01533	−	10.1635i	1.00219	−	1.45192i
$50$	4.16546	+	1.87472i	0.589085	+	0.265126i
$51$	2.34065	−	7.51141i	0.327757	−	1.05181i
$52$	0.431134			0.0597875
$53$	−4.06926	−	6.03665i	−0.558956	−	0.829198i
$53$	−4.06926	−	6.03665i	−0.558956	−	0.829198i
$54$		−	2.45470i		−	0.334042i
$55$	4.31486	+	1.58113i	0.581815	+	0.213199i
$56$	−10.7120	−	4.82109i	−1.43145	−	0.644245i
$57$	8.20782	−	11.8911i	1.08715	−	1.57501i
$58$	1.40743	+	0.0851336i	0.184804	+	0.0111786i
$59$	−6.11407	+	6.90136i	−0.795984	+	0.898480i	−0.996700	−	0.0811694i	$-0.974135\pi$
$59$	−6.11407	+	6.90136i	−0.795984	+	0.898480i	0.200717	+	0.979649i	$0.435673\pi$
$60$	−0.330679	−	0.630056i	−0.0426904	−	0.0813398i
$61$	6.99009	+	8.92220i	0.894990	+	1.14237i	0.989164	+	0.146814i	$0.0469020\pi$
$61$	6.99009	+	8.92220i	0.894990	+	1.14237i	−0.0941743	+	0.995556i	$0.530021\pi$
$62$	5.28133	−	4.67885i	0.670730	−	0.594215i
$63$	−14.9804	−	5.68132i	−1.88735	−	0.715779i
$64$	−1.68766	+	6.84712i	−0.210958	+	0.855890i
$65$	−2.56554	+	1.55092i	−0.318216	+	0.192369i
$66$	6.67953	+	10.7737i	0.822194	+	1.32615i
$67$	4.98087	−	0.912777i	0.608510	−	0.111514i	0.132840	−	0.991138i	$-0.457590\pi$
$67$	4.98087	−	0.912777i	0.608510	−	0.111514i	0.475670	+	0.879624i	$0.342206\pi$
$68$	0.282688	−	0.538616i	0.0342809	−	0.0653168i
$69$	−6.79820	−	17.9254i	−0.818407	−	2.15796i
$70$	−8.97274	+	1.08949i	−1.07245	+	0.130219i
$71$	−13.6349	+	6.13656i	−1.61816	+	0.728275i	−0.998402	−	0.0565162i	$-0.982001\pi$
$71$	−13.6349	+	6.13656i	−1.61816	+	0.728275i	−0.619760	+	0.784792i	$0.712770\pi$
$72$	−1.75326	+	9.56722i	−0.206623	+	1.12751i
$73$	−3.24221	+	4.13838i	−0.379472	+	0.484360i	−0.938740	−	0.344627i	$-0.888006\pi$
$73$	−3.24221	+	4.13838i	−0.379472	+	0.484360i	0.559268	+	0.828987i	$0.311082\pi$
$74$	3.95478	−	0.239220i	0.459734	−	0.0278088i
$75$	−6.79356	−	4.10685i	−0.784453	−	0.474218i
$76$	0.789918	−	0.789918i	0.0906098	−	0.0906098i
$77$	14.3197	−	2.79102i	1.63189	−	0.318066i
$78$	−8.20928	−	0.996787i	−0.929518	−	0.112864i
$79$	2.32459	+	7.45987i	0.261537	+	0.839301i	0.988315	+	0.152428i	$0.0487093\pi$
$79$	2.32459	+	7.45987i	0.261537	+	0.839301i	−0.726778	+	0.686873i	$0.758983\pi$
$80$	1.79676	+	5.76600i	0.200884	+	0.644658i
$81$	0.802868	−	6.61221i	0.0892076	−	0.734690i
$82$	0.774983	+	3.14423i	0.0855826	+	0.347222i
$83$	−6.47399	−	6.47399i	−0.710613	−	0.710613i	0.256051	−	0.966663i	$-0.417579\pi$
$83$	−6.47399	−	6.47399i	−0.710613	−	0.710613i	−0.966663	+	0.256051i	$0.917579\pi$
$84$	−1.93322	−	1.16867i	−0.210931	−	0.127512i
$85$	0.255387	+	4.22206i	0.0277006	+	0.457946i
$86$	6.64517	−	8.48194i	0.716568	−	0.914631i
$87$	−2.41027	−	0.441698i	−0.258408	−	0.0473549i
$88$	−3.23368	−	8.24556i	−0.344711	−	0.878980i
$89$	0.423424	+	3.48721i	0.0448828	+	0.369643i	0.997794	+	0.0663924i	$0.0211489\pi$
$89$	0.423424	+	3.48721i	0.0448828	+	0.369643i	−0.952911	+	0.303251i	$0.901928\pi$
$90$	2.65388	+	6.99772i	0.279744	+	0.737624i
$91$	−4.42300	+	8.42731i	−0.463656	+	0.883422i
$92$	−0.267180	−	1.45795i	−0.0278554	−	0.152002i
$93$	−10.0915	+	6.96566i	−1.04644	+	0.722305i
$94$	−6.88019	−	11.3812i	−0.709637	−	1.17388i
$95$	−1.85897	+	7.54214i	−0.190726	+	0.773808i
$96$	−1.02644	+	2.70650i	−0.104761	+	0.276231i
$97$	2.14930	−	1.90411i	0.218228	−	0.193333i	−0.546925	−	0.837182i	$-0.684202\pi$
$97$	2.14930	−	1.90411i	0.218228	−	0.193333i	0.765153	+	0.643848i	$0.222663\pi$
$98$	−14.4167	+	11.2947i	−1.45630	+	1.14094i
$99$	−5.08136	−	10.9593i	−0.510696	−	1.10145i
$100$	−0.459410	−	0.407001i	−0.0459410	−	0.0407001i
$101$	−6.87993	−	0.416159i	−0.684579	−	0.0414094i	−0.285572	−	0.958357i	$-0.592184\pi$
$101$	−6.87993	−	0.416159i	−0.684579	−	0.0414094i	−0.399007	+	0.916948i	$0.630645\pi$
$102$	−6.62799	+	9.60229i	−0.656268	+	0.950769i
$103$	5.06321	−	11.2500i	0.498893	−	1.10850i	−0.474688	−	0.880154i	$-0.657439\pi$
$103$	5.06321	−	11.2500i	0.498893	−	1.10850i	0.973581	−	0.228341i	$-0.0733301\pi$
$104$	5.51636	+	1.71897i	0.540923	+	0.168559i
$105$	15.7080			1.53295
$106$	3.09809	+	10.3423i	0.300913	+	1.00453i
$107$		−	13.5985i		−	1.31462i	−0.753622	−	0.657308i	$-0.771695\pi$
$107$		−	13.5985i		−	1.31462i	0.753622	−	0.657308i	$-0.228305\pi$
$108$	−0.0981242	+	0.314892i	−0.00944200	+	0.0303004i
$109$	−2.95822	+	6.57289i	−0.283346	+	0.629569i	−0.997519	−	0.0704004i	$-0.977572\pi$
$109$	−2.95822	+	6.57289i	−0.283346	+	0.629569i	0.714173	+	0.699969i	$0.246803\pi$
$110$	−5.41157	−	4.14232i	−0.515973	−	0.394954i
$111$	−6.87292	−	0.415735i	−0.652349	−	0.0394598i
$112$	14.3517	+	12.7145i	1.35610	+	1.20140i
$113$	−4.78228	−	9.11187i	−0.449879	−	0.857173i	−0.999760	−	0.0219296i	$-0.993019\pi$
$113$	−4.78228	−	9.11187i	−0.449879	−	0.857173i	0.549880	−	0.835243i	$-0.314673\pi$
$114$	−16.8672	+	13.2146i	−1.57976	+	1.23766i
$115$	6.83463	+	7.71470i	0.637332	+	0.719400i
$116$	−0.177143	−	0.0671815i	−0.0164473	−	0.00623765i
$117$	7.65155	+	1.88594i	0.707386	+	0.174355i
$118$	11.7014	−	7.07374i	1.07720	−	0.651191i
$119$	7.62817	+	11.0513i	0.699274	+	1.01307i
$120$	−1.71895	−	9.38001i	−0.156918	−	0.856274i
$121$	9.19109	+	6.04349i	0.835554	+	0.549408i
$122$	−5.96045	−	15.7164i	−0.539634	−	1.42290i
$123$	−0.678359	−	5.58679i	−0.0611655	−	0.503743i
$124$	−0.864528	+	0.389092i	−0.0776369	+	0.0349415i
$125$	11.0123	+	2.01808i	0.984970	+	0.180503i
$126$	18.7033	+	14.6531i	1.66623	+	1.30540i
$127$	−13.3607	+	0.808172i	−1.18557	+	0.0717136i	−0.641362	−	0.767238i	$-0.721630\pi$
$127$	−13.3607	+	0.808172i	−1.18557	+	0.0717136i	−0.544206	+	0.838952i	$0.683169\pi$
$128$	6.57246	−	10.8722i	0.580929	−	0.960973i
$129$	−13.2411	+	13.2411i	−1.16581	+	1.16581i
$130$	4.31666	−	1.06396i	0.378596	−	0.0933156i
$131$	2.45337	−	20.2053i	0.214352	−	1.76534i	−0.347093	−	0.937831i	$-0.612831\pi$
$131$	2.45337	−	20.2053i	0.214352	−	1.76534i	0.561445	−	0.827514i	$-0.310246\pi$
$132$	−0.426190	−	1.64907i	−0.0370951	−	0.143533i
$133$	7.33667	+	23.5442i	0.636170	+	2.04154i
$134$	−7.45483	−	0.905181i	−0.643999	−	0.0781957i
$135$	−0.548858	−	2.22681i	−0.0472382	−	0.191653i
$136$	5.76450	−	5.76450i	0.494302	−	0.494302i
$137$	2.98118	−	4.93147i	0.254699	−	0.421324i	−0.702098	−	0.712080i	$-0.747753\pi$
$137$	2.98118	−	4.93147i	0.254699	−	0.421324i	0.956797	+	0.290757i	$0.0939070\pi$
$138$	1.71660	+	28.3788i	0.146127	+	2.41577i
$139$	13.0802	+	10.2477i	1.10945	+	0.869199i	0.992293	−	0.123914i	$-0.0395447\pi$
$139$	13.0802	+	10.2477i	1.10945	+	0.869199i	0.117158	+	0.993113i	$0.462622\pi$
$140$	1.19458	+	0.218916i	0.100961	+	0.0185018i
$141$	9.48562	+	21.0762i	0.798834	+	1.77494i
$142$	22.0122	−	2.67277i	1.84723	−	0.224294i
$143$	−6.82665	+	2.21181i	−0.570873	+	0.184961i
$144$	7.37790	−	14.0574i	0.614825	−	1.17145i
$145$	1.29580	−	0.237464i	0.107610	−	0.0197203i
$146$	6.41629	−	4.42885i	0.531016	−	0.366534i
$147$	27.2377	−	16.4658i	2.24653	−	1.35807i
$148$	−0.516886	−	0.127401i	−0.0424878	−	0.0104723i
$149$	4.40886	−	11.6252i	0.361188	−	0.952375i	−0.624080	−	0.781360i	$-0.714526\pi$
$149$	4.40886	−	11.6252i	0.361188	−	0.952375i	0.985268	−	0.171015i	$-0.0547046\pi$
$150$	7.80669	+	8.81193i	0.637414	+	0.719491i
$151$	−3.01118	+	2.35911i	−0.245046	+	0.191981i	−0.731726	−	0.681599i	$-0.761285\pi$
$151$	−3.01118	+	2.35911i	−0.245046	+	0.191981i	0.486680	+	0.873580i	$0.338208\pi$
$152$	13.2565	−	6.95754i	1.07524	−	0.564331i
$153$	7.37311	−	8.32253i	0.596081	−	0.672836i
$154$	−21.5059	−	2.36614i	−1.73299	−	0.190669i
$155$	3.74485	−	5.42535i	0.300793	−	0.435774i
$156$	1.01325	+	0.456027i	0.0811249	+	0.0365114i
$157$	6.47456	+	2.01756i	0.516726	+	0.161018i	0.544766	−	0.838588i	$-0.316619\pi$
$157$	6.47456	+	2.01756i	0.516726	+	0.161018i	−0.0280392	+	0.999607i	$0.508926\pi$
$158$		−	11.5876i		−	0.921860i
$159$	−3.17837	−	18.4915i	−0.252061	−	1.46647i
$160$		−	1.55618i		−	0.123027i
$161$	31.2394	+	9.73460i	2.46201	+	0.767194i
$162$	−4.05401	+	9.00763i	−0.318513	+	0.707706i
$163$	8.00876	+	5.52805i	0.627294	+	0.432990i	0.838840	−	0.544378i	$-0.183234\pi$
$163$	8.00876	+	5.52805i	0.627294	+	0.432990i	−0.211546	+	0.977368i	$0.567850\pi$
$164$	0.0262718	−	0.434325i	0.00205148	−	0.0339151i
$165$	8.46835	+	8.27995i	0.659260	+	0.644593i
$166$	6.30986	+	12.0224i	0.489740	+	0.933122i
$167$	3.08119	+	3.93285i	0.238429	+	0.304333i	0.891551	−	0.452920i	$-0.149618\pi$
$167$	3.08119	+	3.93285i	0.238429	+	0.304333i	−0.653121	+	0.757253i	$0.726541\pi$
$168$	−20.0759	−	22.6610i	−1.54889	−	1.74834i
$169$	−2.94982	+	7.77804i	−0.226909	+	0.598311i
$170$	1.50116	−	6.09044i	0.115134	−	0.467116i
$171$	17.4745	−	10.5637i	1.33631	−	0.807826i
$172$	−1.19151	+	0.822438i	−0.0908516	+	0.0627103i
$173$	0.496343	+	2.70846i	0.0377363	+	0.205920i	0.997085	−	0.0763048i	$-0.0243122\pi$
$173$	0.496343	+	2.70846i	0.0377363	+	0.205920i	−0.959348	+	0.282225i	$0.908928\pi$
$174$	3.21768	+	1.68877i	0.243932	+	0.128025i
$175$	12.6687	−	4.80460i	0.957662	−	0.363193i
$176$	1.03512	+	14.4195i	0.0780252	+	1.08691i
$177$	−21.6691	+	9.75247i	−1.62875	+	0.733041i
$178$	0.939035	−	5.12415i	0.0703837	−	0.384071i
$179$	−1.21855	−	0.954673i	−0.0910787	−	0.0713556i	0.570147	−	0.821543i	$-0.306886\pi$
$179$	−1.21855	−	0.954673i	−0.0910787	−	0.0713556i	−0.661225	+	0.750187i	$0.729963\pi$
$180$	−0.0607164	−	1.00376i	−0.00452553	−	0.0748160i
$181$	−8.88545	−	5.37144i	−0.660450	−	0.399256i	0.147045	−	0.989130i	$-0.453024\pi$
$181$	−8.88545	−	5.37144i	−0.660450	−	0.399256i	−0.807496	+	0.589874i	$0.799178\pi$
$182$	9.98035	−	9.98035i	0.739793	−	0.739793i
$183$	6.99076	+	28.3626i	0.516772	+	2.09663i
$184$	2.39442	−	19.7198i	0.176519	−	1.45376i
$185$	3.53413	−	1.10128i	0.259835	−	0.0809677i
$186$	17.3612	−	5.40996i	1.27298	−	0.396678i
$187$	−1.71290	+	9.97880i	−0.125260	+	0.729722i
$188$	0.427645	+	1.73502i	0.0311892	+	0.126540i
$189$	−5.14849	−	5.14849i	−0.374497	−	0.374497i
$190$	5.95956	−	9.85832i	0.432352	−	0.715198i
$191$	−26.4889	+	1.60228i	−1.91667	+	0.115937i	−0.975222	−	0.221227i	$-0.928994\pi$
$191$	−26.4889	+	1.60228i	−1.91667	+	0.115937i	−0.941446	+	0.337164i	$0.890532\pi$
$192$	−11.2088	+	14.3070i	−0.808926	+	1.03252i
$193$	−22.2532	−	4.07804i	−1.60182	−	0.293544i	−0.696267	−	0.717783i	$-0.745157\pi$
$193$	−22.2532	−	4.07804i	−1.60182	−	0.293544i	−0.905550	+	0.424239i	$0.860542\pi$
$194$	−3.88315	+	1.74766i	−0.278794	+	0.125475i
$195$	−7.67001	+	0.931308i	−0.549261	+	0.0666923i
$196$	2.30088	−	0.872609i	0.164349	−	0.0623292i
$197$	4.69287	+	2.46301i	0.334353	+	0.175482i	0.623542	−	0.781790i	$-0.285693\pi$
$197$	4.69287	+	2.46301i	0.334353	+	0.175482i	−0.289188	+	0.957272i	$0.593385\pi$
$198$	2.35925	+	17.7585i	0.167665	+	1.26204i
$199$	−2.13733	+	1.47529i	−0.151511	+	0.104580i	−0.641408	−	0.767200i	$-0.721650\pi$
$199$	−2.13733	+	1.47529i	−0.151511	+	0.104580i	0.489897	+	0.871780i	$0.337034\pi$
$200$	−4.25540	−	7.03929i	−0.300902	−	0.497753i
$201$	12.6715	+	3.12325i	0.893779	+	0.220297i
$202$	9.55729	+	3.62460i	0.672449	+	0.255026i
$203$	3.13050	−	2.77338i	0.219718	−	0.194653i
$204$	1.23409	−	0.966846i	0.0864034	−	0.0676928i
$205$	1.40607	+	2.67904i	0.0982041	+	0.187112i
$206$	−12.1321	+	13.6944i	−0.845287	+	0.954131i
$207$	1.63585	−	27.0438i	0.113699	−	1.87968i
$208$	−7.76153	−	5.35740i	−0.538165	−	0.371469i
$209$	−8.45524	+	16.5602i	−0.584861	+	1.14549i
$210$	−22.2401	−	6.93030i	−1.53471	−	0.478236i
$211$	−15.2069			−1.04688			−0.523442	−	0.852061i	$-0.675352\pi$
$211$	−15.2069			−1.04688			−0.523442	+	0.852061i	$0.675352\pi$
$212$	0.0159955	−	1.45056i	0.00109858	−	0.0996250i
$213$	−38.5355			−2.64041
$214$	−5.99958	+	19.2533i	−0.410123	+	1.31613i
$215$	4.13172	−	9.18031i	0.281781	−	0.626092i
$216$	−2.51100	+	3.63781i	−0.170852	+	0.247522i
$217$	1.26364	−	20.8905i	0.0857816	−	1.41814i
$218$	7.08830	−	8.00103i	0.480080	−	0.541898i
$219$	−11.9972	+	6.29660i	−0.810693	+	0.425485i
$220$	0.528618	+	0.747703i	0.0356394	+	0.0504101i
$221$	−4.37994	−	4.94394i	−0.294627	−	0.332565i
$222$	9.54755	+	3.62091i	0.640790	+	0.243020i
$223$	−3.39507	+	13.7743i	−0.227351	+	0.922398i	0.740739	+	0.671793i	$0.234476\pi$
$223$	−3.39507	+	13.7743i	−0.227351	+	0.922398i	−0.968090	+	0.250605i	$0.919371\pi$
$224$	−2.55588	−	4.22794i	−0.170772	−	0.282491i
$225$	−6.37301	−	9.23289i	−0.424867	−	0.615526i
$226$	2.75085	+	15.0109i	0.182984	+	0.998510i
$227$	−6.80272	+	12.9615i	−0.451513	+	0.860285i	0.548201	+	0.836347i	$0.315313\pi$
$227$	−6.80272	+	12.9615i	−0.451513	+	0.860285i	−0.999713	+	0.0239386i	$0.992379\pi$
$228$	2.69199	−	1.02094i	0.178282	−	0.0676133i
$229$	14.8924	−	1.80826i	0.984115	−	0.119493i	0.387370	−	0.921924i	$-0.373383\pi$
$229$	14.8924	−	1.80826i	0.984115	−	0.119493i	0.596745	+	0.802431i	$0.296460\pi$
$230$	−6.27307	−	13.9382i	−0.413634	−	0.919058i
$231$	36.6064	+	8.58709i	2.40852	+	0.564989i
$232$	−1.99869	−	1.56587i	−0.131220	−	0.102805i
$233$	21.0007	−	1.27031i	1.37580	−	0.0832205i	0.644149	−	0.764900i	$-0.277212\pi$
$233$	21.0007	−	1.27031i	1.37580	−	0.0832205i	0.731651	+	0.681680i	$0.238750\pi$
$234$	−10.0013	−	6.04601i	−0.653807	−	0.395240i
$235$	−8.78622	−	8.78622i	−0.573150	−	0.573150i
$236$	−1.78383	+	0.439676i	−0.116118	+	0.0286204i
$237$	−2.42735	+	19.9910i	−0.157673	+	1.29855i
$238$	−5.92451	−	19.0124i	−0.384029	−	1.23239i
$239$	−21.3876	+	6.66466i	−1.38345	+	0.431101i	−0.896777	−	0.442482i	$-0.854098\pi$
$239$	−21.3876	+	6.66466i	−1.38345	+	0.431101i	−0.486675	+	0.873583i	$0.661790\pi$
$240$	−1.87618	+	15.4518i	−0.121107	+	0.997406i
$241$	8.70419	−	2.14539i	0.560686	−	0.138197i	0.0512201	−	0.998687i	$-0.483689\pi$
$241$	8.70419	−	2.14539i	0.560686	−	0.138197i	0.509466	+	0.860491i	$0.329843\pi$
$242$	−10.3468	−	12.6117i	−0.665117	−	0.810710i
$243$	11.4498	−	18.9403i	0.734508	−	1.21502i
$244$	0.136365	+	2.25438i	0.00872988	+	0.144322i
$245$	−10.5528	+	13.4696i	−0.674192	+	0.860543i
$246$	−1.50441	+	8.20930i	−0.0959176	+	0.523406i
$247$	−4.97829	−	11.0613i	−0.316761	−	0.703814i
$248$	−12.6130	+	1.53149i	−0.800925	+	0.0972499i
$249$	−8.36737	−	22.0629i	−0.530261	−	1.39818i
$250$	−14.7013	−	7.71585i	−0.929793	−	0.487993i
$251$	2.30222	+	12.5628i	0.145315	+	0.792957i	0.972831	+	0.231516i	$0.0743685\pi$
$251$	2.30222	+	12.5628i	0.145315	+	0.792957i	−0.827516	+	0.561442i	$0.810247\pi$
$252$	−1.81354	−	2.62737i	−0.114242	−	0.165509i
$253$	11.7102	+	21.7148i	0.736214	+	1.36520i
$254$	19.2732	+	4.75041i	1.20931	+	0.298067i
$255$	−3.86562	+	10.1928i	−0.242075	+	0.638298i
$256$	−3.54525	+	3.14081i	−0.221578	+	0.196301i
$257$	−13.4996	−	17.2310i	−0.842081	−	1.07484i	−0.996227	−	0.0867890i	$-0.972339\pi$
$257$	−13.4996	−	17.2310i	−0.842081	−	1.07484i	0.154146	−	0.988048i	$-0.450738\pi$
$258$	24.5892	−	12.9054i	1.53085	−	0.803454i
$259$	7.79302	−	8.79650i	0.484235	−	0.546588i
$260$	−0.596277	−	0.0360681i	−0.0369796	−	0.00223685i
$261$	−2.84997	−	1.96719i	−0.176409	−	0.121766i
$262$	−12.3880	+	27.5251i	−0.765336	+	1.70051i
$263$	3.28096	−	10.5290i	0.202313	−	0.649244i	−0.796681	−	0.604400i	$-0.793413\pi$
$263$	3.28096	−	10.5290i	0.202313	−	0.649244i	0.998994	−	0.0448447i	$-0.0142793\pi$
$264$	1.12187	−	22.7991i	0.0690461	−	1.40319i
$265$	5.12295	+	8.68939i	0.314700	+	0.533785i
$266$		−	36.5718i		−	2.24236i
$267$	−2.69342	+	8.64350i	−0.164835	+	0.528974i
$268$	0.920131	+	0.414117i	0.0562059	+	0.0252962i
$269$	23.9152	+	16.5075i	1.45814	+	1.00648i	0.992598	+	0.121450i	$0.0387544\pi$
$269$	23.9152	+	16.5075i	1.45814	+	1.00648i	0.465538	+	0.885028i	$0.345861\pi$
$270$	−0.205357	+	3.39496i	−0.0124976	+	0.206611i
$271$	7.06210	+	6.25648i	0.428992	+	0.380054i	0.849808	−	0.527092i	$-0.176718\pi$
$271$	7.06210	+	6.25648i	0.428992	+	0.380054i	−0.420816	+	0.907146i	$0.638256\pi$
$272$	−11.7821	+	6.18373i	−0.714396	+	0.374944i
$273$	−19.3088	+	15.1275i	−1.16862	+	0.915557i
$274$	−6.39661	+	5.66690i	−0.386433	+	0.342350i
$275$	9.36238	+	4.08766i	0.564573	+	0.246495i
$276$	0.914208	−	3.70909i	0.0550289	−	0.223261i
$277$	−6.05730	+	3.66177i	−0.363948	+	0.220014i	−0.687480	−	0.726203i	$-0.741283\pi$
$277$	−6.05730	+	3.66177i	−0.363948	+	0.220014i	0.323533	+	0.946217i	$0.395129\pi$
$278$	−13.9983	−	20.2801i	−0.839563	−	1.21632i
$279$	−17.0453	+	3.12366i	−1.02047	+	0.187009i
$280$	14.4119	+	7.56394i	0.861274	+	0.452032i
$281$	−6.05416	+	2.29604i	−0.361161	+	0.136970i	−0.528509	−	0.848928i	$-0.677249\pi$
$281$	−6.05416	+	2.29604i	−0.361161	+	0.136970i	0.167348	+	0.985898i	$0.446480\pi$
$282$	−4.13145	−	34.0256i	−0.246024	−	2.02619i
$283$	−2.41816	−	5.37293i	−0.143745	−	0.319388i	0.825936	−	0.563764i	$-0.190647\pi$
$283$	−2.41816	−	5.37293i	−0.143745	−	0.319388i	−0.969680	+	0.244377i	$0.921417\pi$
$284$	−2.93060	−	0.537052i	−0.173899	−	0.0318682i
$285$	−12.3466	+	15.7592i	−0.731348	+	0.933497i
$286$	10.6413	−	0.119701i	0.629233	−	0.00707808i
$287$	8.22016	+	4.96926i	0.485221	+	0.293326i
$288$	−2.89258	+	2.89258i	−0.170447	+	0.170447i
$289$	7.45768	−	1.83815i	0.438687	−	0.108127i
$290$	−1.93941	−	0.235487i	−0.113886	−	0.0138283i
$291$	7.06533	−	2.20165i	0.414177	−	0.129063i
$292$	−1.00013	+	0.311652i	−0.0585281	+	0.0182381i
$293$	−1.71545	−	0.208294i	−0.100218	−	0.0121687i	0.0702741	−	0.997528i	$-0.477613\pi$
$293$	−1.71545	−	0.208294i	−0.100218	−	0.0121687i	−0.170492	+	0.985359i	$0.554536\pi$
$294$	−45.8289	+	11.2958i	−2.67279	+	0.658785i
$295$	9.03339	−	9.03339i	0.525944	−	0.525944i
$296$	−6.10560	−	3.69097i	−0.354881	−	0.214533i
$297$	−0.0617494	−	5.48945i	−0.00358306	−	0.318530i
$298$	−11.3712	+	14.5143i	−0.658718	+	0.840792i
$299$	−15.8309	−	2.90112i	−0.915525	−	0.167776i
$300$	−0.649203	−	1.44247i	−0.0374817	−	0.0832810i
$301$	−3.85243	−	31.7276i	−0.222050	−	1.82875i
$302$	5.30418	−	2.01161i	0.305221	−	0.115755i
$303$	−15.7290	−	8.25523i	−0.903609	−	0.474250i
$304$	−24.0363	+	4.40482i	−1.37858	+	0.252634i
$305$	−8.92120	−	12.9246i	−0.510826	−	0.740059i
$306$	−14.1110	+	8.53041i	−0.806673	+	0.487651i
$307$	0.454379	−	1.84349i	0.0259328	−	0.105213i	−0.956549	−	0.291571i	$-0.905822\pi$
$307$	0.454379	−	1.84349i	0.0259328	−	0.105213i	0.982482	+	0.186357i	$0.0596682\pi$
$308$	2.66421	+	1.16321i	0.151808	+	0.0662799i
$309$	23.7991	−	21.0842i	1.35388	−	1.19944i
$310$	−7.69575	+	6.02923i	−0.437089	+	0.342437i
$311$	−2.26456	+	1.18853i	−0.128411	+	0.0673955i	−0.527705	−	0.849427i	$-0.676948\pi$
$311$	−2.26456	+	1.18853i	−0.128411	+	0.0673955i	0.399294	+	0.916823i	$0.369255\pi$
$312$	11.1463	+	9.87478i	0.631036	+	0.559049i
$313$	0.0467465	−	0.772811i	0.00264227	−	0.0436819i	−0.996615	−	0.0822050i	$-0.973804\pi$
$313$	0.0467465	−	0.772811i	0.00264227	−	0.0436819i	0.999258	+	0.0385231i	$0.0122653\pi$
$314$	−8.27683	−	5.71308i	−0.467088	−	0.322408i
$315$	20.2433	+	9.11076i	1.14058	+	0.513333i
$316$	−0.463203	+	1.48647i	−0.0260572	+	0.0836205i
$317$			7.42596i			0.417084i	0.978013	+	0.208542i	$0.0668717\pi$
$317$			7.42596i			0.417084i	−0.978013	+	0.208542i	$0.933128\pi$
$318$	−3.65829	+	27.5834i	−0.205147	+	1.54680i
$319$	3.14957	+	0.154980i	0.176342	+	0.00867720i
$320$	2.90694	−	9.32869i	0.162503	−	0.521490i
$321$	14.3837	−	31.9592i	0.802818	−	1.78379i
$322$	−39.9353	−	27.5653i	−2.22551	−	1.53616i
$323$	−17.0831	−	1.03334i	−0.950529	−	0.0574964i
$324$	0.880124	−	0.993454i	0.0488958	−	0.0551919i
$325$	−5.90108	+	3.09712i	−0.327333	+	0.171797i
$326$	−8.90020	−	11.3603i	−0.492936	−	0.629187i
$327$	−13.9048	+	12.3186i	−0.768938	+	0.681219i
$328$	2.06784	−	5.45244i	0.114177	−	0.301061i
$329$	−38.3015	−	9.44047i	−2.11163	−	0.520470i
$330$	−8.33678	−	15.4593i	−0.458925	−	0.851006i
$331$	−8.27073	−	11.9822i	−0.454601	−	0.658603i	0.526930	−	0.849909i	$-0.323343\pi$
$331$	−8.27073	−	11.9822i	−0.454601	−	0.658603i	−0.981530	+	0.191306i	$0.938728\pi$
$332$	−0.328851	−	1.79448i	−0.0180480	−	0.0984850i
$333$	−8.61615	−	4.52210i	−0.472162	−	0.247810i
$334$	−2.62733	−	6.92769i	−0.143761	−	0.379066i
$335$	−6.96512	+	0.845719i	−0.380545	+	0.0462066i
$336$	20.2807	+	45.0618i	1.10640	+	2.45832i
$337$	3.18088	−	17.3575i	0.173274	−	0.945524i	−0.775920	−	0.630831i	$-0.782714\pi$
$337$	3.18088	−	17.3575i	0.173274	−	0.945524i	0.949194	−	0.314693i	$-0.101901\pi$
$338$	7.60811	−	9.71104i	0.413827	−	0.528211i
$339$	−1.60133	−	26.4731i	−0.0869722	−	1.43782i
$340$	−0.436030	+	0.721282i	−0.0236470	+	0.0391170i
$341$	11.6929	−	10.5962i	0.633209	−	0.573815i
$342$	−29.4018	+	7.24688i	−1.58987	+	0.391867i
$343$	−2.83641	+	23.3599i	−0.153152	+	1.26132i
$344$	−18.5245	+	5.77246i	−0.998773	+	0.311230i
$345$	7.90260	+	25.3603i	0.425462	+	1.36535i
$346$	0.492212	−	4.05373i	0.0264615	−	0.217930i
$347$	−15.8910	+	3.91677i	−0.853071	+	0.210263i	−0.641523	−	0.767104i	$-0.721697\pi$
$347$	−15.8910	+	3.91677i	−0.853071	+	0.210263i	−0.211549	+	0.977367i	$0.567851\pi$
$348$	−0.345261	−	0.345261i	−0.0185079	−	0.0185079i
$349$	3.53784	+	2.13870i	0.189376	+	0.114482i	0.608849	−	0.793286i	$-0.291631\pi$
$349$	3.53784	+	2.13870i	0.189376	+	0.114482i	−0.419473	+	0.907768i	$0.637785\pi$
$350$	−20.0566	+	1.21320i	−1.07207	+	0.0648484i
$351$	2.81918	+	2.20869i	0.150477	+	0.117891i
$352$	0.850716	−	3.62657i	0.0453433	−	0.193297i
$353$	11.7407	+	26.0868i	0.624895	+	1.38846i	0.903722	+	0.428119i	$0.140824\pi$
$353$	11.7407	+	26.0868i	0.624895	+	1.38846i	−0.278827	+	0.960341i	$0.589946\pi$
$354$	34.9828	−	4.24768i	1.85931	−	0.225762i
$355$	19.3710	−	7.34646i	1.02811	−	0.389910i
$356$	−0.325293	+	0.619795i	−0.0172405	+	0.0328490i
$357$	6.23832	+	34.0414i	0.330167	+	1.80166i
$358$	1.30408	+	1.88928i	0.0689227	+	0.0998517i
$359$	−5.23475	−	8.65933i	−0.276280	−	0.457022i	0.686569	−	0.727065i	$-0.259116\pi$
$359$	−5.23475	−	8.65933i	−0.276280	−	0.457022i	−0.962848	+	0.270043i	$0.912962\pi$
$360$	3.22522	−	13.0852i	0.169984	−	0.689652i
$361$	−11.6223	−	4.40774i	−0.611698	−	0.231986i
$362$	10.2105	+	11.5253i	0.536654	+	0.605758i
$363$	15.2085	+	23.9252i	0.798238	+	1.25575i
$364$	−1.67924	+	0.881336i	−0.0880164	+	0.0461945i
$365$	4.83034	−	5.45232i	0.252831	−	0.285388i
$366$	2.61562	−	43.2413i	0.136720	−	2.26026i
$367$	−0.969693	+	1.40484i	−0.0506175	+	0.0733322i	−0.847475	−	0.530835i	$-0.821879\pi$
$367$	−0.969693	+	1.40484i	−0.0506175	+	0.0733322i	0.796858	+	0.604167i	$0.206494\pi$
$368$	−13.3070	+	29.5670i	−0.693677	+	1.54129i
$369$	2.36616	−	7.59326i	0.123177	−	0.395289i
$370$	−5.48965			−0.285393
$371$	28.1899	+	15.1940i	1.46354	+	0.788831i
$372$	−2.44337			−0.126683
$373$	−15.0428	−	4.68752i	−0.778886	−	0.242711i	−0.117817	−	0.993035i	$-0.537590\pi$
$373$	−15.0428	−	4.68752i	−0.778886	−	0.242711i	−0.661070	+	0.750325i	$0.729897\pi$
$374$	6.82779	−	13.3727i	0.353057	−	0.691485i
$375$	23.7465	+	16.3910i	1.22626	+	0.846429i
$376$	−1.44597	+	23.9047i	−0.0745701	+	1.23279i
$377$	−1.36415	+	1.53980i	−0.0702571	+	0.0793039i
$378$	5.01796	+	9.56093i	0.258096	+	0.491761i
$379$	14.7455	−	11.5524i	0.757425	−	0.593404i	−0.161945	−	0.986800i	$-0.551777\pi$
$379$	14.7455	−	11.5524i	0.757425	−	0.593404i	0.919369	+	0.393395i	$0.128700\pi$
$380$	−1.15858	+	1.02641i	−0.0594337	+	0.0526537i
$381$	−32.2551	−	12.2327i	−1.65248	−	0.626702i
$382$	38.2110	+	9.41817i	1.95504	+	0.481875i
$383$	−6.01402	−	9.94840i	−0.307302	−	0.508339i	0.663515	−	0.748163i	$-0.269064\pi$
$383$	−6.01402	−	9.94840i	−0.307302	−	0.508339i	−0.970816	+	0.239824i	$0.922910\pi$
$384$	26.9465	−	18.5998i	1.37511	−	0.949168i
$385$	−20.0383	+	2.66214i	−1.02125	+	0.135675i
$386$	29.7078	+	15.5918i	1.51208	+	0.793603i
$387$	−24.7440	+	9.38415i	−1.25781	+	0.477023i
$388$	0.567996	−	0.0689672i	0.0288356	−	0.00350128i
$389$	23.1857	−	10.4350i	1.17556	−	0.529077i	0.274000	−	0.961730i	$-0.411653\pi$
$389$	23.1857	−	10.4350i	1.17556	−	0.529077i	0.901561	+	0.432652i	$0.142422\pi$
$390$	11.2704	+	2.06538i	0.570700	+	0.104585i
$391$	−14.0045	+	17.8754i	−0.708236	+	0.903997i
$392$	32.9190	−	1.99123i	1.66266	−	0.100572i
$393$	27.1378	−	44.8914i	1.36892	−	2.26447i
$394$	−5.55770	−	5.55770i	−0.279993	−	0.279993i
$395$	−2.59093	−	10.5118i	−0.130364	−	0.528907i
$396$	0.407230	−	2.37238i	0.0204641	−	0.119217i
$397$	6.31827	−	1.96885i	0.317105	−	0.0988138i	−0.134819	−	0.990870i	$-0.543045\pi$
$397$	6.31827	−	1.96885i	0.317105	−	0.0988138i	0.451924	+	0.892056i	$0.350738\pi$
$398$	3.67700	−	1.14580i	0.184312	−	0.0574338i
$399$	−7.66098	+	63.0938i	−0.383528	+	3.15864i
$400$	3.21305	+	13.0358i	0.160652	+	0.651792i
$401$	13.0476	−	13.0476i	0.651568	−	0.651568i	−0.301802	−	0.953370i	$-0.597588\pi$
$401$	13.0476	−	13.0476i	0.651568	−	0.651568i	0.953370	+	0.301802i	$0.0975883\pi$
$402$	−16.5629	−	10.0126i	−0.826082	−	0.499384i
$403$	0.621550	+	10.2754i	0.0309616	+	0.511856i
$404$	−1.08113	−	0.847012i	−0.0537883	−	0.0421404i
$405$	−1.66357	+	9.07782i	−0.0826636	+	0.451081i
$406$	−5.65589	+	2.54551i	−0.280697	+	0.126331i
$407$	8.83806	−	0.634453i	0.438087	−	0.0314487i
$408$	19.6451	−	7.45039i	0.972575	−	0.368849i
$409$	21.2155	+	11.1347i	1.04904	+	0.550577i	0.898930	−	0.438092i	$-0.144346\pi$
$409$	21.2155	+	11.1347i	1.04904	+	0.550577i	0.150108	+	0.988670i	$0.452038\pi$
$410$	−0.808794	−	4.41345i	−0.0399435	−	0.217965i
$411$	12.2226	−	8.43662i	0.602894	−	0.416148i
$412$	2.10374	−	1.27176i	0.103644	−	0.0626550i
$413$	9.70605	−	39.3790i	0.477604	−	1.93771i
$414$	−14.2477	+	37.5681i	−0.700235	+	1.84637i
$415$	8.41221	+	9.49542i	0.412939	+	0.466112i
$416$	1.49867	+	1.91291i	0.0734783	+	0.0937881i
$417$	19.9018	+	37.9196i	0.974593	+	1.85693i
$418$	19.2775	−	19.7162i	0.942895	−	0.964349i
$419$	−0.887579	+	14.6734i	−0.0433611	+	0.716844i	0.909925	+	0.414774i	$0.136139\pi$
$419$	−0.887579	+	14.6734i	−0.0433611	+	0.716844i	−0.953286	+	0.302070i	$0.902322\pi$
$420$	2.57596	+	1.77805i	0.125694	+	0.0867601i
$421$	15.7800	−	35.0618i	0.769072	−	1.70881i	0.0658601	−	0.997829i	$-0.479021\pi$
$421$	15.7800	−	35.0618i	0.769072	−	1.70881i	0.703212	−	0.710980i	$-0.251748\pi$
$422$	21.5305	+	6.70918i	1.04809	+	0.326598i
$423$			32.6631i			1.58813i
$424$	5.98818	−	18.4962i	0.290812	−	0.898254i
$425$			9.40296i			0.456111i
$426$	54.5602	+	17.0017i	2.64345	+	0.823733i
$427$	−45.4651	−	20.4622i	−2.20021	−	0.990234i
$428$	1.53927	−	2.23001i	0.0744033	−	0.107792i
$429$	−18.3835	−	2.02261i	−0.887564	−	0.0976524i
$430$	−9.90017	+	11.1750i	−0.477428	+	0.538905i
$431$	−32.1605	+	16.8791i	−1.54912	+	0.813039i	−0.999746	−	0.0225403i	$-0.992825\pi$
$431$	−32.1605	+	16.8791i	−1.54912	+	0.813039i	−0.549370	+	0.835579i	$0.685132\pi$
$432$	5.67943	−	4.44955i	0.273251	−	0.214079i
$433$	−25.9116	−	29.2481i	−1.24523	−	1.40558i	−0.880215	−	0.474574i	$-0.842602\pi$
$433$	−25.9116	−	29.2481i	−1.24523	−	1.40558i	−0.365016	−	0.931001i	$-0.618936\pi$
$434$	−11.0059	+	29.0201i	−0.528300	+	1.39301i
$435$	3.29655	+	0.812528i	0.158058	+	0.0389577i
$436$	−1.22913	+	0.743034i	−0.0588646	+	0.0355849i
$437$	−34.3206	+	23.6898i	−1.64178	+	1.13324i
$438$	19.7641	−	3.62191i	0.944366	−	0.173062i
$439$	6.68766	−	12.7423i	0.319184	−	0.608155i	−0.672014	−	0.740538i	$-0.734571\pi$
$439$	6.68766	−	12.7423i	0.319184	−	0.608155i	0.991199	+	0.132383i	$0.0422629\pi$
$440$	3.78251	+	11.6745i	0.180324	+	0.556560i
$441$	44.6520	−	5.42174i	2.12629	−	0.258178i
$442$	4.02007	+	8.93224i	0.191215	+	0.424863i
$443$	−5.30432	−	0.972052i	−0.252016	−	0.0461836i	0.0527620	−	0.998607i	$-0.483198\pi$
$443$	−5.30432	−	0.972052i	−0.252016	−	0.0461836i	−0.304778	+	0.952424i	$0.598582\pi$
$444$	−1.08003	−	0.846148i	−0.0512559	−	0.0401564i
$445$	−0.293878	−	4.85839i	−0.0139312	−	0.230310i
$446$	10.8840	−	18.0044i	0.515374	−	0.852533i
$447$	22.6582	−	22.6582i	1.07169	−	1.07169i
$448$	−7.42371	−	30.1192i	−0.350737	−	1.42300i
$449$	−37.0307	−	4.49634i	−1.74759	−	0.212195i	−0.816589	−	0.577220i	$-0.804138\pi$
$449$	−37.0307	−	4.49634i	−1.74759	−	0.212195i	−0.930998	+	0.365024i	$0.881061\pi$
$450$	4.94967	+	15.8841i	0.233330	+	0.748782i
$451$	1.81219	+	7.01195i	0.0853327	+	0.330180i
$452$	0.247164	−	2.03558i	0.0116256	−	0.0957455i
$453$	−9.57218	+	2.35933i	−0.449740	+	0.110851i
$454$	15.3501	−	15.3501i	0.720417	−	0.720417i
$455$	6.82222	−	11.2853i	0.319831	−	0.529065i
$456$	38.5146	−	2.32971i	1.80361	−	0.109098i
$457$	−17.3510	−	13.5936i	−0.811645	−	0.635884i	0.122623	−	0.992453i	$-0.460869\pi$
$457$	−17.3510	−	13.5936i	−0.811645	−	0.635884i	−0.934269	+	0.356570i	$0.883946\pi$
$458$	−21.8830	−	4.01022i	−1.02253	−	0.187385i
$459$	4.60781	−	2.07381i	0.215074	−	0.0967970i
$460$	0.247551	+	2.03877i	0.0115421	+	0.0950581i
$461$	−10.9088	−	28.7642i	−0.508075	−	1.33968i	−0.906393	−	0.422437i	$-0.861175\pi$
$461$	−10.9088	−	28.7642i	−0.508075	−	1.33968i	0.398317	−	0.917248i	$-0.369594\pi$
$462$	−48.0403	−	28.3085i	−2.23504	−	1.31703i
$463$	−7.28072	−	39.7296i	−0.338364	−	1.84639i	−0.508618	−	0.860992i	$-0.669843\pi$
$463$	−7.28072	−	39.7296i	−0.338364	−	1.84639i	0.170254	−	0.985400i	$-0.445541\pi$
$464$	2.35422	+	3.41067i	0.109292	+	0.158337i
$465$	14.5397	−	8.78958i	0.674264	−	0.407607i
$466$	−30.2941	−	7.46682i	−1.40335	−	0.345894i
$467$	38.1168	+	14.4558i	1.76384	+	0.668935i	0.999715	+	0.0238626i	$0.00759642\pi$
$467$	38.1168	+	14.4558i	1.76384	+	0.668935i	0.764121	+	0.645072i	$0.223173\pi$
$468$	1.04130	+	1.17538i	0.0481340	+	0.0543321i
$469$	−17.5343	+	13.7373i	−0.809659	+	0.634327i
$470$	8.56347	+	16.3163i	0.395003	+	0.752616i
$471$	13.0825	+	11.5901i	0.602808	+	0.534041i
$472$	−24.5772	−	1.48665i	−1.13126	−	0.0684284i
$473$	14.6472	−	19.1353i	0.673481	−	0.879844i
$474$	12.2567	−	27.2332i	0.562967	−	1.25086i
$475$	−5.13737	+	16.4864i	−0.235719	+	0.756448i
$476$			2.67576i			0.122643i
$477$	6.62918	−	25.6739i	0.303529	−	1.17553i
$478$	33.2219			1.51954
$479$	16.9579	+	5.28430i	0.774828	+	0.241446i	0.659322	−	0.751861i	$-0.270843\pi$
$479$	16.9579	+	5.28430i	0.774828	+	0.241446i	0.115506	+	0.993307i	$0.463151\pi$
$480$	1.64604	−	3.65734i	0.0751309	−	0.166934i
$481$	−3.28369	+	4.75724i	−0.149723	+	0.216912i
$482$	−13.2703	−	0.802705i	−0.604446	−	0.0365622i
$483$	63.1222	+	55.9214i	2.87216	+	2.54451i
$484$	0.823158	+	2.03144i	0.0374163	+	0.0923384i
$485$	−3.13187	+	2.45366i	−0.142211	+	0.111415i
$486$	−24.5675	+	21.7649i	−1.11441	+	0.987278i
$487$	−8.19931	+	21.6198i	−0.371546	+	0.979687i	0.610662	+	0.791892i	$0.290904\pi$
$487$	−8.19931	+	21.6198i	−0.371546	+	0.979687i	−0.982208	+	0.187796i	$0.939866\pi$
$488$	−7.24362	+	29.3885i	−0.327903	+	1.33036i
$489$	12.9749	+	21.4632i	0.586747	+	0.970599i
$490$	20.8838	−	14.4150i	0.943434	−	0.651205i
$491$	3.39265	+	18.5131i	0.153108	+	0.835485i	0.967059	+	0.254551i	$0.0819278\pi$
$491$	3.39265	+	18.5131i	0.153108	+	0.835485i	−0.813951	+	0.580934i	$0.802688\pi$
$492$	0.521146	−	0.992961i	0.0234951	−	0.0447661i
$493$	1.02923	+	2.71386i	0.0463542	+	0.122226i
$494$	2.16829	+	17.8575i	0.0975559	+	0.803445i
$495$	6.11092	+	15.5822i	0.274665	+	0.700370i
$496$	20.3987	+	3.73820i	0.915930	+	0.167850i
$497$	40.5626	−	51.7744i	1.81948	−	2.32240i
$498$	2.11283	+	34.9293i	0.0946783	+	1.56522i
$499$	−1.04549	−	0.632020i	−0.0468025	−	0.0282931i	0.493743	−	0.869608i	$-0.335628\pi$
$499$	−1.04549	−	0.632020i	−0.0468025	−	0.0282931i	−0.540546	+	0.841315i	$0.681782\pi$
$500$	1.57747	+	1.57747i	0.0705465	+	0.0705465i
$501$	3.08148	+	12.5021i	0.137670	+	0.558551i
$502$	2.28306	−	18.8027i	0.101898	−	0.839205i
$503$	5.55264	+	17.8190i	0.247580	+	0.794511i	0.991937	+	0.126730i	$0.0404482\pi$
$503$	5.55264	+	17.8190i	0.247580	+	0.794511i	−0.744357	+	0.667781i	$0.767244\pi$
$504$	−12.7287	−	40.8479i	−0.566982	−	1.81951i
$505$	9.48044	+	1.15113i	0.421874	+	0.0512248i
$506$	−6.99936	−	35.9112i	−0.311159	−	1.59645i
$507$	−15.1598	+	15.1598i	−0.673271	+	0.673271i
$508$	−2.28249	−	1.37981i	−0.101269	−	0.0612193i
$509$	3.66796	−	0.221871i	0.162579	−	0.00983424i	0.0211118	−	0.999777i	$-0.493279\pi$
$509$	3.66796	−	0.221871i	0.162579	−	0.00983424i	0.141468	+	0.989943i	$0.454818\pi$
$510$	9.97012	−	12.7259i	0.441484	−	0.563513i
$511$	4.16847	−	22.7466i	0.184402	−	1.00625i
$512$	−16.7650	+	7.54533i	−0.740917	+	0.333459i
$513$	9.21200	−	1.11854i	0.406720	−	0.0493847i
$514$	11.5111	+	30.3523i	0.507732	+	1.33878i
$515$	−7.94381	+	15.1357i	−0.350046	+	0.666957i
$516$	−3.67021	+	0.672590i	−0.161572	+	0.0296091i
$517$	−15.6725	−	25.2788i	−0.689275	−	1.11176i
$518$	−14.9147	+	9.01622i	−0.655312	+	0.396150i
$519$	−1.69833	+	6.89041i	−0.0745486	+	0.302456i
$520$	−7.48557	−	2.83890i	−0.328264	−	0.124494i
$521$	−1.42942	+	1.26636i	−0.0626241	+	0.0554801i	−0.693854	−	0.720115i	$-0.744089\pi$
$521$	−1.42942	+	1.26636i	−0.0626241	+	0.0554801i	0.631230	+	0.775596i	$0.282550\pi$
$522$	3.16720	+	4.04263i	0.138624	+	0.176941i
$523$	−5.69921	−	10.8589i	−0.249209	−	0.474828i	0.728430	−	0.685121i	$-0.240251\pi$
$523$	−5.69921	−	10.8589i	−0.249209	−	0.474828i	−0.977638	+	0.210293i	$0.932558\pi$
$524$	2.68944	−	3.03575i	0.117489	−	0.132617i
$525$	34.8559	+	2.10840i	1.52124	+	0.0920179i
$526$	−9.29065	+	13.4598i	−0.405091	+	0.586876i
$527$	13.2447	+	5.96095i	0.576947	+	0.259663i
$528$	−12.8193	+	34.9835i	−0.557888	+	1.52246i
$529$			32.3329i			1.40578i
$530$	−3.41958	−	14.5630i	−0.148537	−	0.632577i
$531$	−33.5819			−1.45733
$532$	−1.46192	+	4.69147i	−0.0633823	+	0.203401i
$533$	−4.30841	−	1.93906i	−0.186618	−	0.0839899i
$534$	7.62693	−	11.0495i	0.330050	−	0.478159i
$535$	−1.13763	+	18.8073i	−0.0491842	+	0.813112i
$536$	10.1220	+	8.96727i	0.437202	+	0.387327i
$537$	−1.85404	−	3.53258i	−0.0800077	−	0.152442i
$538$	−26.5771	−	33.9232i	−1.14582	−	1.46253i
$539$	−31.9559	+	25.6211i	−1.37644	+	1.10358i
$540$	0.162054	−	0.427300i	0.00697368	−	0.0183881i
$541$	−6.17213	−	1.52129i	−0.265361	−	0.0654055i	0.104390	−	0.994536i	$-0.466711\pi$
$541$	−6.17213	−	1.52129i	−0.265361	−	0.0654055i	−0.369751	+	0.929131i	$0.620557\pi$
$542$	−7.23850	−	11.9739i	−0.310920	−	0.514325i
$543$	−15.2010	−	22.0224i	−0.652337	−	0.945073i
$544$	3.37246	−	0.618026i	0.144593	−	0.0264976i
$545$	4.64123	−	8.84313i	0.198809	−	0.378798i
$546$	34.0124	−	12.8992i	1.45560	−	0.552035i
$547$	−4.05254	−	33.3757i	−0.173274	−	1.42704i	−0.776825	−	0.629716i	$-0.783171\pi$
$547$	−4.05254	−	33.3757i	−0.173274	−	1.42704i	0.603551	−	0.797324i	$-0.293752\pi$
$548$	1.04709	−	0.471258i	0.0447296	−	0.0201312i
$549$	−7.44136	+	40.6062i	−0.317590	+	1.73303i
$550$	−11.4522	−	9.91811i	−0.488324	−	0.422909i
$551$	0.321836	+	5.32058i	0.0137107	+	0.226664i
$552$	26.4858	−	43.8128i	1.12731	−	1.86480i
$553$	−24.3038	−	24.3038i	−1.03350	−	1.03350i
$554$	10.1917	−	2.51204i	0.433005	−	0.106726i
$555$	9.47078	+	1.14996i	0.402012	+	0.0488131i
$556$	0.985044	+	3.16112i	0.0417752	+	0.134061i
$557$	−3.72162	+	1.15970i	−0.157690	+	0.0491383i	−0.375332	−	0.926890i	$-0.622471\pi$
$557$	−3.72162	+	1.15970i	−0.157690	+	0.0491383i	0.217642	+	0.976029i	$0.430164\pi$
$558$	25.5115	+	3.09766i	1.07999	+	0.131134i
$559$	3.76217	+	15.2637i	0.159123	+	0.645587i
$560$	−18.7853	−	18.7853i	−0.793824	−	0.793824i
$561$	−14.5806	+	21.6404i	−0.615594	+	0.913657i
$562$	9.58473	−	0.579770i	0.404308	−	0.0244561i
$563$	20.7571	+	16.2622i	0.874809	+	0.685369i	0.950152	−	0.311789i	$-0.100928\pi$
$563$	20.7571	+	16.2622i	0.874809	+	0.685369i	−0.0753424	+	0.997158i	$0.524005\pi$
$564$	−0.830151	+	4.52999i	−0.0349557	+	0.190747i
$565$	5.85182	+	13.0022i	0.246188	+	0.547007i
$566$	1.05323	+	8.67411i	0.0442704	+	0.364600i
$567$	10.3897	+	27.3955i	0.436328	+	1.15050i
$568$	−35.3557	−	18.5561i	−1.48349	−	0.778598i
$569$	39.5064	−	7.23982i	1.65619	−	0.303509i	0.730822	−	0.682568i	$-0.239137\pi$
$569$	39.5064	−	7.23982i	1.65619	−	0.303509i	0.925372	+	0.379059i	$0.123752\pi$
$570$	24.4337	−	16.8654i	1.02341	−	0.706412i
$571$	12.9927	+	21.4926i	0.543728	+	0.899436i	0.999954	+	0.00957213i	$0.00304695\pi$
$571$	12.9927	+	21.4926i	0.543728	+	0.899436i	−0.456226	+	0.889864i	$0.650799\pi$
$572$	−1.36986	−	0.410020i	−0.0572768	−	0.0171438i
$573$	−63.9489	−	24.2526i	−2.67151	−	1.01317i
$574$	−9.44605	−	10.6624i	−0.394270	−	0.445039i
$575$	14.1304	+	18.0362i	0.589280	+	0.752161i
$576$	−22.7432	+	11.9365i	−0.947633	+	0.497356i
$577$	−33.4527	−	29.6365i	−1.39265	−	1.23378i	−0.939589	−	0.342304i	$-0.888793\pi$
$577$	−33.4527	−	29.6365i	−1.39265	−	1.23378i	−0.453063	−	0.891478i	$-0.649669\pi$
$578$	−11.3699	−	0.687751i	−0.472925	−	0.0286067i
$579$	−47.9858	−	33.1222i	−1.99422	−	1.37651i
$580$	0.239377	+	0.107735i	0.00993957	+	0.00447344i
$581$	38.4502	+	11.9816i	1.59518	+	0.497079i
$582$	−10.9747			−0.454918
$583$	7.18844	+	23.0505i	0.297715	+	0.954655i
$584$	−14.0392			−0.580947
$585$	−10.4247	−	3.24846i	−0.431007	−	0.134307i
$586$	2.33691	+	1.05176i	0.0965371	+	0.0434478i
$587$	−9.67819	−	6.68037i	−0.399462	−	0.275728i	0.351351	−	0.936244i	$-0.385722\pi$
$587$	−9.67819	−	6.68037i	−0.399462	−	0.275728i	−0.750812	+	0.660515i	$0.770338\pi$
$588$	6.33052	+	0.382926i	0.261066	+	0.0157916i
$589$	19.9654	+	17.6878i	0.822658	+	0.728811i
$590$	−16.7753	+	8.80438i	−0.690630	+	0.362470i
$591$	8.42396	+	10.7524i	0.346516	+	0.442294i
$592$	7.72217	+	8.71653i	0.317379	+	0.358247i
$593$	−6.95855	−	2.63903i	−0.285753	−	0.108372i	0.207564	−	0.978221i	$-0.433447\pi$
$593$	−6.95855	−	2.63903i	−0.285753	−	0.108372i	−0.493317	+	0.869850i	$0.664216\pi$
$594$	−2.33448	+	7.79943i	−0.0957851	+	0.320015i
$595$	−9.62557	−	15.9226i	−0.394610	−	0.652764i
$596$	2.03891	−	1.40736i	0.0835170	−	0.0576477i
$597$	−6.58361	+	1.20649i	−0.269449	+	0.0493784i
$598$	21.1341	+	11.0920i	0.864238	+	0.453587i
$599$	−8.64138	−	22.7855i	−0.353077	−	0.930989i	−0.987446	−	0.157958i	$-0.949509\pi$
$599$	−8.64138	−	22.7855i	−0.353077	−	0.930989i	0.634369	−	0.773031i	$-0.281260\pi$
$600$	−2.55531	−	21.0448i	−0.104320	−	0.859152i
$601$	−6.32471	−	14.0529i	−0.257990	−	0.573231i	0.736691	−	0.676229i	$-0.236387\pi$
$601$	−6.32471	−	14.0529i	−0.257990	−	0.573231i	−0.994682	+	0.102998i	$0.967156\pi$
$602$	−8.54362	+	46.6210i	−0.348212	+	1.90013i
$603$	14.5185	+	11.3745i	0.591241	+	0.463207i
$604$	−0.760838	+	0.0460222i	−0.0309580	+	0.00187262i
$605$	−12.2061	−	9.12734i	−0.496249	−	0.371079i
$606$	18.6277	+	18.6277i	0.756697	+	0.756697i
$607$	7.71948	+	31.3191i	0.313324	+	1.27121i	0.890649	+	0.454691i	$0.150250\pi$
$607$	7.71948	+	31.3191i	0.313324	+	1.27121i	−0.577325	+	0.816514i	$0.695904\pi$
$608$	6.25065	+	0.758967i	0.253497	+	0.0307802i
$609$	10.2908	−	3.20674i	0.417004	−	0.129944i
$610$	6.92875	+	22.2352i	0.280537	+	0.900275i
$611$	19.2618	+	2.33880i	0.779248	+	0.0946179i
$612$	2.15117	−	0.530216i	0.0869560	−	0.0214327i
$613$	−10.4386	−	10.4386i	−0.421610	−	0.421610i	0.464147	−	0.885758i	$-0.346361\pi$
$613$	−10.4386	−	10.4386i	−0.421610	−	0.421610i	−0.885758	+	0.464147i	$0.846361\pi$
$614$	−1.45667	+	2.40962i	−0.0587862	+	0.0972443i
$615$	0.470817	+	7.78353i	0.0189852	+	0.313862i
$616$	29.4508	+	25.5057i	1.18661	+	1.02765i
$617$	−2.43926	+	13.3106i	−0.0982010	+	0.535865i	0.897324	+	0.441372i	$0.145508\pi$
$617$	−2.43926	+	13.3106i	−0.0982010	+	0.535865i	−0.995525	+	0.0944939i	$0.969877\pi$
$618$	−42.9980	+	19.3518i	−1.72963	+	0.778445i
$619$	−1.38392	−	11.3976i	−0.0556245	−	0.458109i	−0.993734	−	0.111770i	$-0.964348\pi$
$619$	−1.38392	−	11.3976i	−0.0556245	−	0.458109i	0.938110	−	0.346338i	$-0.112575\pi$
$620$	1.22823	−	0.465807i	0.0493270	−	0.0187073i
$621$	5.72197	−	10.9023i	0.229615	−	0.437494i
$622$	3.73063	−	0.683664i	0.149585	−	0.0274124i
$623$	−8.77786	−	12.7169i	−0.351678	−	0.509493i
$624$	−12.5744	−	20.8006i	−0.503379	−	0.832691i
$625$	−0.108270	−	0.0266861i	−0.00433078	−	0.00106744i
$626$	−0.407146	+	1.07355i	−0.0162728	+	0.0429079i
$627$	−37.3878	+	29.9762i	−1.49313	+	1.19714i
$628$	0.833386	+	1.06374i	0.0332557	+	0.0424478i
$629$	3.79017	+	7.22157i	0.151124	+	0.287943i
$630$	−24.6417	−	21.8306i	−0.981748	−	0.869753i
$631$	−2.79862	+	46.2667i	−0.111411	+	1.84185i	0.329329	+	0.944215i	$0.393178\pi$
$631$	−2.79862	+	46.2667i	−0.111411	+	1.84185i	−0.440740	+	0.897635i	$0.645284\pi$
$632$	−11.8534	+	17.1726i	−0.471502	+	0.683088i
$633$	−35.7391	−	16.0849i	−1.42050	−	0.639317i
$634$	3.27629	−	10.5140i	0.130118	−	0.417564i
$635$	18.5460			0.735976
$636$	1.57191	−	3.39219i	0.0623302	−	0.134509i
$637$		−	26.7200i		−	1.05869i
$638$	−4.39092	−	1.60900i	−0.173838	−	0.0637009i
$639$	−49.6616	−	22.3509i	−1.96458	−	0.884186i
$640$	−9.99956	+	14.4869i	−0.395267	+	0.572643i
$641$	2.25683	+	0.136513i	0.0891394	+	0.00539194i	0.104888	−	0.994484i	$-0.466552\pi$
$641$	2.25683	+	0.136513i	0.0891394	+	0.00539194i	−0.0157486	+	0.999876i	$0.505013\pi$
$642$	−34.4652	+	38.9032i	−1.36023	+	1.53539i
$643$	−1.79972	−	3.42907i	−0.0709739	−	0.135229i	0.847384	−	0.530981i	$-0.178176\pi$
$643$	−1.79972	−	3.42907i	−0.0709739	−	0.135229i	−0.918358	+	0.395752i	$0.870484\pi$
$644$	4.02104	+	5.13248i	0.158451	+	0.202248i
$645$	19.4207	−	17.2053i	0.764691	−	0.677457i
$646$	23.7311	+	9.00001i	0.933687	+	0.354101i
$647$	9.93281	−	40.2990i	0.390499	−	1.58432i	−0.366189	−	0.930541i	$-0.619338\pi$
$647$	9.93281	−	40.2990i	0.390499	−	1.58432i	0.756688	−	0.653776i	$-0.226816\pi$
$648$	15.2222	−	9.20213i	0.597983	−	0.361494i
$649$	25.9899	−	16.1134i	1.02019	−	0.632505i
$650$	9.72143	−	1.78152i	0.381306	−	0.0698769i
$651$	25.0665	−	47.7602i	0.982434	−	1.87187i
$652$	0.687612	+	1.81308i	0.0269290	+	0.0710058i
$653$	−34.9311	+	4.24140i	−1.36696	+	0.165979i	−0.770897	−	0.636960i	$-0.780192\pi$
$653$	−34.9311	+	4.24140i	−1.36696	+	0.165979i	−0.596061	+	0.802939i	$0.703269\pi$
$654$	25.1219	−	11.3065i	0.982344	−	0.442117i
$655$	−5.08347	+	27.7396i	−0.198628	+	1.08388i
$656$	−5.87001	+	7.49251i	−0.229185	+	0.292533i
$657$	−19.1131	+	1.15613i	−0.745672	+	0.0451048i
$658$	50.0638	+	30.2646i	1.95169	+	1.17984i
$659$	−19.3977	+	19.3977i	−0.755628	+	0.755628i	−0.975523	−	0.219895i	$-0.929428\pi$
$659$	−19.3977	+	19.3977i	−0.755628	+	0.755628i	0.219895	+	0.975523i	$0.429428\pi$
$660$	0.451482	+	2.31639i	0.0175739	+	0.0901654i
$661$	15.1923	+	1.84468i	0.590911	+	0.0717496i	0.410530	−	0.911847i	$-0.365344\pi$
$661$	15.1923	+	1.84468i	0.590911	+	0.0717496i	0.180381	+	0.983597i	$0.442267\pi$
$662$	6.42356	+	20.6139i	0.249659	+	0.801184i
$663$	−5.06435	−	16.2521i	−0.196683	−	0.631178i
$664$	2.94710	−	24.2716i	0.114370	−	0.941919i
$665$	−8.17726	−	33.1765i	−0.317101	−	1.28653i
$666$	10.2040	+	10.2040i	0.395396	+	0.395396i
$667$	6.05250	+	3.65886i	0.234354	+	0.141672i
$668$	0.0601088	+	0.993717i	0.00232568	+	0.0384481i
$669$	−22.5487	+	28.7813i	−0.871784	+	1.11275i
$670$	10.2346	+	1.87557i	0.395399	+	0.0724595i
$671$	−13.7247	−	34.9967i	−0.529837	−	1.35103i
$672$	−1.53477	−	12.6400i	−0.0592050	−	0.487597i
$673$	8.62916	+	22.7532i	0.332630	+	0.877072i	0.992112	+	0.125352i	$0.0400062\pi$
$673$	8.62916	+	22.7532i	0.332630	+	0.877072i	−0.659483	+	0.751720i	$0.729225\pi$
$674$	−12.1617	+	23.1721i	−0.468450	+	0.892557i
$675$	−0.919018	−	5.01492i	−0.0353730	−	0.193024i
$676$	−1.36417	+	0.941616i	−0.0524679	+	0.0362160i
$677$	−9.65814	−	15.9765i	−0.371192	−	0.614027i	0.613218	−	0.789914i	$-0.289875\pi$
$677$	−9.65814	−	15.9765i	−0.371192	−	0.614027i	−0.984410	+	0.175886i	$0.943721\pi$
$678$	−9.41256	+	38.1883i	−0.361487	+	1.46661i
$679$	−4.47897	+	11.8101i	−0.171887	+	0.453229i
$680$	−8.45482	+	7.49031i	−0.324227	+	0.287240i
$681$	−29.6976	+	23.2666i	−1.13802	+	0.891579i
$682$	−21.2303	+	9.84365i	−0.812952	+	0.376933i
$683$	−6.80689	−	6.03037i	−0.260458	−	0.230746i	0.522780	−	0.852468i	$-0.324895\pi$
$683$	−6.80689	−	6.03037i	−0.260458	−	0.230746i	−0.783238	+	0.621722i	$0.786433\pi$
$684$	4.06138	+	0.245668i	0.155291	+	0.00939336i
$685$	−4.53566	+	6.57104i	−0.173299	+	0.251067i
$686$	14.3222	−	31.8226i	0.546824	−	1.21499i
$687$	36.9127	+	11.5025i	1.40831	+	0.438846i
$688$	31.6701			1.20741
$689$	−14.6655	−	5.74766i	−0.558712	−	0.218968i
$690$		−	39.3928i		−	1.49966i
$691$	8.85725	−	28.4239i	0.336946	−	1.08130i	−0.618415	−	0.785852i	$-0.712225\pi$
$691$	8.85725	−	28.4239i	0.336946	−	1.08130i	0.955360	−	0.295444i	$-0.0954676\pi$
$692$	−0.225185	+	0.500342i	−0.00856027	+	0.0190201i
$693$	42.1949	+	32.2983i	1.60285	+	1.22691i
$694$	24.2272	+	1.46547i	0.919650	+	0.0556286i
$695$	−17.2332	−	15.2673i	−0.653694	−	0.579122i
$696$	−3.04103	−	5.79420i	−0.115270	−	0.219629i
$697$	−5.24743	+	4.11110i	−0.198760	+	0.155719i
$698$	−4.06544	−	4.58894i	−0.153879	−	0.173694i
$699$	50.6994	+	19.2277i	1.91763	+	0.727260i
$700$	2.62138	+	0.646113i	0.0990789	+	0.0244208i
$701$	40.3305	−	24.3806i	1.52326	−	0.920843i	0.525727	−	0.850653i	$-0.323793\pi$
$701$	40.3305	−	24.3806i	1.52326	−	0.920843i	0.997534	−	0.0701902i	$-0.0223606\pi$
$702$	−3.01705	−	4.37096i	−0.113871	−	0.164971i
$703$	2.69983	+	14.7325i	0.101826	+	0.555647i
$704$	11.8741	−	20.1507i	0.447522	−	0.759457i
$705$	−11.3558	−	29.9429i	−0.427686	−	1.12771i
$706$	−5.11365	−	42.1147i	−0.192455	−	1.58501i
$707$	27.6477	−	12.4432i	1.03980	−	0.467976i
$708$	−4.65743	−	0.853505i	−0.175037	−	0.0320767i
$709$	−17.3934	−	13.6269i	−0.653224	−	0.511769i	0.234516	−	0.972112i	$-0.424649\pi$
$709$	−17.3934	−	13.6269i	−0.653224	−	0.511769i	−0.887741	+	0.460343i	$0.847726\pi$
$710$	−30.6675	+	1.85504i	−1.15093	+	0.0696185i
$711$	−14.7231	+	24.3549i	−0.552158	+	0.913382i
$712$	−6.63330	+	6.63330i	−0.248594	+	0.248594i
$713$	34.3630	−	8.46973i	1.28691	−	0.317194i
$714$	6.18640	−	50.9496i	0.231520	−	1.90674i
$715$	9.62660	−	2.48793i	0.360014	−	0.0930432i
$716$	−0.0917664	−	0.294489i	−0.00342947	−	0.0110056i
$717$	−57.3147	−	6.95926i	−2.14046	−	0.259898i
$718$	3.59113	+	14.5698i	0.134020	+	0.543740i
$719$	10.6352	−	10.6352i	0.396626	−	0.396626i	−0.480415	−	0.877041i	$-0.659514\pi$
$719$	10.6352	−	10.6352i	0.396626	−	0.396626i	0.877041	+	0.480415i	$0.159514\pi$
$720$	−11.3800	+	18.8248i	−0.424107	+	0.701559i
$721$	3.27659	+	54.1686i	0.122027	+	2.01734i
$722$	14.5106	+	11.3683i	0.540029	+	0.423086i
$723$	22.7258	+	4.16467i	0.845183	+	0.154886i
$724$	−0.849107	−	1.88664i	−0.0315568	−	0.0701164i
$725$	2.90723	−	0.353001i	0.107972	−	0.0131101i
$726$	−10.9771	−	40.5842i	−0.407400	−	1.50622i
$727$	4.44296	−	8.46536i	0.164780	−	0.313963i	−0.789039	−	0.614343i	$-0.789421\pi$
$727$	4.44296	−	8.46536i	0.164780	−	0.313963i	0.953820	+	0.300380i	$0.0971135\pi$
$728$	−24.9999	+	4.58140i	−0.926558	+	0.169798i
$729$	30.4982	−	21.0514i	1.12956	−	0.779681i
$730$	−9.24453	+	5.58851i	−0.342155	+	0.206840i
$731$	21.5358	+	5.30810i	0.796531	+	0.196327i
$732$	−2.06406	+	5.44249i	−0.0762900	+	0.201160i
$733$	−9.09111	−	10.2617i	−0.335788	−	0.379026i	0.556228	−	0.831029i	$-0.312248\pi$
$733$	−9.09111	−	10.2617i	−0.335788	−	0.379026i	−0.892016	+	0.452003i	$0.850710\pi$
$734$	1.99274	−	1.56121i	0.0735534	−	0.0576254i
$735$	−39.0485	+	20.4942i	−1.44032	+	0.755941i
$736$	5.54009	−	6.25347i	0.204210	−	0.230506i
$737$	−16.6940	−	1.83673i	−0.614932	−	0.0676567i
$738$	−6.70021	+	9.70693i	−0.246638	+	0.357317i
$739$	−2.36198	−	1.06304i	−0.0868868	−	0.0391046i	0.366503	−	0.930417i	$-0.380555\pi$
$739$	−2.36198	−	1.06304i	−0.0868868	−	0.0391046i	−0.453390	+	0.891312i	$0.649786\pi$
$740$	0.704219	+	0.219443i	0.0258876	+	0.00806690i
$741$		−	31.2620i		−	1.14844i
$742$	−33.2089	−	33.9495i	−1.21914	−	1.24632i
$743$		−	19.3819i		−	0.711054i	−0.934666	−	0.355527i	$-0.884301\pi$
$743$		−	19.3819i		−	0.711054i	0.934666	−	0.355527i	$-0.115699\pi$
$744$	−31.2629	−	9.74192i	−1.14615	−	0.357156i
$745$	−7.07021	+	15.7094i	−0.259032	+	0.575547i
$746$	19.2301	+	13.2736i	0.704065	+	0.485981i
$747$	2.01344	−	33.2861i	0.0736679	−	1.21788i
$748$	−1.41044	+	1.44253i	−0.0515707	+	0.0527441i
$749$	27.7984	+	52.9655i	1.01573	+	1.93532i
$750$	−26.3897	−	33.6839i	−0.963615	−	1.22996i
$751$	34.8781	+	39.3692i	1.27272	+	1.43660i	0.846863	+	0.531811i	$0.178488\pi$
$751$	34.8781	+	39.3692i	1.27272	+	1.43660i	0.425855	+	0.904791i	$0.359973\pi$
$752$	13.8612	−	36.5490i	0.505466	−	1.33280i
$753$	−7.87749	+	31.9602i	−0.287072	+	1.16470i
$754$	2.61077	−	1.57826i	0.0950786	−	0.0574770i
$755$	4.36195	−	3.01084i	0.158748	−	0.109576i
$756$	−0.261521	−	1.42708i	−0.00951144	−	0.0519022i
$757$	−34.4817	−	18.0974i	−1.25326	−	0.657761i	−0.298292	−	0.954475i	$-0.596417\pi$
$757$	−34.4817	−	18.0974i	−1.25326	−	0.657761i	−0.954966	+	0.296714i	$0.904109\pi$
$758$	−25.9741	+	9.85068i	−0.943422	+	0.357793i
$759$	4.55273	+	63.4205i	0.165254	+	2.30202i
$760$	−18.9164	+	8.51357i	−0.686169	+	0.308820i
$761$	−1.99706	+	10.8976i	−0.0723935	+	0.395038i	0.927387	+	0.374103i	$0.122049\pi$
$761$	−1.99706	+	10.8976i	−0.0723935	+	0.395038i	−0.999781	+	0.0209359i	$0.993335\pi$
$762$	40.2711	+	31.5504i	1.45887	+	1.14295i
$763$	−1.91437	−	31.6484i	−0.0693050	−	1.14575i
$764$	−4.52527	−	2.73562i	−0.163718	−	0.0989713i
$765$	−10.8936	+	10.8936i	−0.393859	+	0.393859i
$766$	4.12572	+	16.7387i	0.149068	+	0.604794i
$767$	−2.40460	+	19.8037i	−0.0868250	+	0.715068i
$768$	−11.6542	+	3.63159i	−0.420534	+	0.131044i
$769$	38.7532	−	12.0760i	1.39748	−	0.435471i	0.496008	−	0.868318i	$-0.334799\pi$
$769$	38.7532	−	12.0760i	1.39748	−	0.435471i	0.901468	+	0.432847i	$0.142491\pi$
$770$	29.5457	+	5.07164i	1.06475	+	0.182769i
$771$	−13.5009	−	54.7752i	−0.486222	−	1.97268i
$772$	−3.18768	−	3.18768i	−0.114727	−	0.114727i
$773$	−9.88928	+	16.3589i	−0.355693	+	0.588388i	−0.981470	−	0.191614i	$-0.938628\pi$
$773$	−9.88928	+	16.3589i	−0.355693	+	0.588388i	0.625778	+	0.780002i	$0.284782\pi$
$774$	39.1738	−	2.36958i	1.40807	−	0.0851727i
$775$	9.03797	−	11.5361i	0.324654	−	0.414390i
$776$	7.54249	+	1.38221i	0.270760	+	0.0496185i
$777$	27.6196	−	12.4306i	0.990846	−	0.445944i
$778$	−37.4312	+	4.54497i	−1.34197	+	0.162945i
$779$	−11.4465	+	4.34110i	−0.410115	+	0.155536i
$780$	−1.36322	−	0.715473i	−0.0488111	−	0.0256180i
$781$	49.1588	−	6.53085i	1.75904	−	0.233692i
$782$	27.7146	−	19.1300i	0.991073	−	0.684088i
$783$	−0.814168	−	1.34680i	−0.0290960	−	0.0481306i
$784$	−52.2651	−	12.8822i	−1.86661	−	0.460079i
$785$	−8.78583	−	3.33202i	−0.313580	−	0.118925i
$786$	−58.2287	+	51.5862i	−2.07695	+	1.84002i
$787$	26.9119	−	21.0842i	0.959307	−	0.751569i	−0.00935397	−	0.999956i	$-0.502978\pi$
$787$	26.9119	−	21.0842i	0.959307	−	0.751569i	0.968661	+	0.248387i	$0.0799006\pi$
$788$	0.490785	+	0.935112i	0.0174835	+	0.0333120i
$789$	18.8478	−	21.2748i	0.671000	−	0.757402i
$790$	−0.969405	+	16.0262i	−0.0344899	+	0.570186i
$791$	37.2535	+	25.7142i	1.32458	+	0.914293i
$792$	14.6694	−	28.7310i	0.521254	−	1.02091i
$793$	23.4131	+	7.29582i	0.831424	+	0.259082i
$794$	−9.81432			−0.348297
$795$	2.84885	+	25.8405i	0.101038	+	0.916469i
$796$	−0.517493			−0.0183420
$797$	12.5091	−	40.1432i	0.443096	−	1.42194i	−0.415641	−	0.909529i	$-0.636443\pi$
$797$	12.5091	−	40.1432i	0.443096	−	1.42194i	0.858737	−	0.512416i	$-0.171249\pi$
$798$	38.6834	−	85.9509i	1.36938	−	3.04263i
$799$	15.5515	−	22.5303i	0.550173	−	0.797064i
$800$	0.208877	−	3.45315i	0.00738492	−	0.122087i
$801$	−8.48436	+	9.57686i	−0.299780	+	0.338382i
$802$	−24.2299	+	12.7169i	−0.855589	+	0.449048i
$803$	14.2373	−	10.0656i	0.502425	−	0.355209i
$804$	1.72446	+	1.94652i	0.0608171	+	0.0686483i
$805$	−42.3912	−	16.0768i	−1.49409	−	0.566634i
$806$	3.65345	−	14.8226i	0.128687	−	0.522105i
$807$	38.7449	+	64.0919i	1.36388	+	2.25614i
$808$	−10.4560	−	15.1481i	−0.367840	−	0.532908i
$809$	0.0362858	+	0.198005i	0.00127574	+	0.00696148i	0.984252	−	0.176773i	$-0.0565659\pi$
$809$	0.0362858	+	0.198005i	0.00127574	+	0.00696148i	−0.982976	+	0.183735i	$0.941181\pi$
$810$	6.36044	−	12.1188i	0.223483	−	0.425811i
$811$	15.3577	−	5.82440i	0.539281	−	0.204522i	−0.0698993	−	0.997554i	$-0.522268\pi$
$811$	15.3577	−	5.82440i	0.539281	−	0.204522i	0.609180	+	0.793032i	$0.291499\pi$
$812$	0.827298	−	0.100452i	0.0290325	−	0.00352518i
$813$	9.97963	+	22.1738i	0.350001	+	0.777670i
$814$	−12.7932	−	3.00102i	−0.448402	−	0.105186i
$815$	−10.6140	−	8.31554i	−0.371792	−	0.291281i
$816$	−34.2311	+	2.07060i	−1.19833	+	0.0724855i
$817$	34.8591	+	21.0730i	1.21956	+	0.737252i
$818$	−25.1252	−	25.1252i	−0.878481	−	0.878481i
$819$	−33.6577	+	8.29588i	−1.17610	+	0.289882i
$820$	−0.0726702	+	0.598493i	−0.00253775	+	0.0209003i
$821$	1.03666	+	3.32677i	0.0361798	+	0.116105i	0.971044	−	0.238900i	$-0.0767868\pi$
$821$	1.03666	+	3.32677i	0.0361798	+	0.116105i	−0.934864	+	0.355005i	$0.884479\pi$
$822$	−21.0274	+	6.55241i	−0.733415	+	0.228541i
$823$	−2.88834	+	23.7876i	−0.100681	+	0.829185i	0.851648	+	0.524114i	$0.175603\pi$
$823$	−2.88834	+	23.7876i	−0.100681	+	0.829185i	−0.952330	+	0.305071i	$0.901320\pi$
$824$	31.9880	−	7.88434i	1.11436	−	0.274664i
$825$	17.6798	+	19.5098i	0.615531	+	0.679243i
$826$	−31.1160	+	51.4722i	−1.08267	+	1.79095i
$827$	0.522133	+	8.63189i	0.0181564	+	0.300160i	0.995907	+	0.0903880i	$0.0288107\pi$
$827$	0.522133	+	8.63189i	0.0181564	+	0.300160i	−0.977750	+	0.209772i	$0.932728\pi$
$828$	3.32946	−	4.24974i	0.115707	−	0.147689i
$829$	−1.59757	+	8.71767i	−0.0554860	+	0.302777i	−0.999643	−	0.0267187i	$-0.991494\pi$
$829$	−1.59757	+	8.71767i	−0.0554860	+	0.302777i	0.944157	+	0.329496i	$0.106879\pi$
$830$	−7.72104	−	17.1554i	−0.268001	−	0.595474i
$831$	−18.1091	+	2.19884i	−0.628196	+	0.0762768i
$832$	5.41061	+	14.2666i	0.187579	+	0.494606i
$833$	−33.3814	−	17.5199i	−1.15660	−	0.607029i
$834$	−11.4478	−	62.4687i	−0.396406	−	2.16312i
$835$	−3.93240	−	5.69707i	−0.136086	−	0.197155i
$836$	−3.26108	+	1.75861i	−0.112787	+	0.0608229i
$837$	−7.64645	−	1.88468i	−0.264300	−	0.0651441i
$838$	7.73051	−	20.3837i	0.267046	−	0.704142i
$839$	−23.5995	+	20.9074i	−0.814746	+	0.721802i	−0.963684	−	0.267045i	$-0.913953\pi$
$839$	−23.5995	+	20.9074i	−0.814746	+	0.721802i	0.148938	+	0.988847i	$0.452414\pi$
$840$	25.8701	+	33.0208i	0.892604	+	1.13932i
$841$	−24.8778	+	13.0569i	−0.857855	+	0.450237i
$842$	−37.8111	+	42.6800i	−1.30306	+	1.47085i
$843$	−16.6571	−	1.00757i	−0.573700	−	0.0347025i
$844$	−2.49377	−	1.72132i	−0.0858390	−	0.0592504i
$845$	4.73044	−	10.5106i	0.162732	−	0.361576i
$846$	14.4108	−	46.2457i	0.495452	−	1.58996i
$847$	−48.1531	−	4.75041i	−1.65456	−	0.163226i
$848$	−18.3131	+	25.9151i	−0.628874	+	0.889929i
$849$		−	15.1852i		−	0.521156i
$850$	4.14853	−	13.3131i	0.142294	−	0.456636i
$851$	18.1224	+	8.15623i	0.621228	+	0.279592i
$852$	−6.31943	−	4.36199i	−0.216500	−	0.149439i
$853$	−2.43652	+	40.2804i	−0.0834247	+	1.37918i	0.679969	+	0.733241i	$0.261993\pi$
$853$	−2.43652	+	40.2804i	−0.0834247	+	1.37918i	−0.763393	+	0.645934i	$0.776468\pi$
$854$	55.3436	+	49.0302i	1.89382	+	1.67778i
$855$	−25.0517	+	13.1482i	−0.856752	+	0.449658i
$856$	28.5862	−	22.3958i	0.977055	−	0.765474i
$857$	38.9327	−	34.4913i	1.32991	−	1.17820i	0.360504	−	0.932758i	$-0.382605\pi$
$857$	38.9327	−	34.4913i	1.32991	−	1.17820i	0.969411	−	0.245444i	$-0.0789337\pi$
$858$	25.1358	+	10.9744i	0.858121	+	0.374659i
$859$	0.402247	−	1.63198i	0.0137245	−	0.0556824i	−0.963680	−	0.267058i	$-0.913948\pi$
$859$	0.402247	−	1.63198i	0.0137245	−	0.0556824i	0.977405	+	0.211376i	$0.0677945\pi$
$860$	1.71671	−	1.03779i	0.0585394	−	0.0353883i
$861$	14.0628	+	20.3735i	0.479260	+	0.694328i
$862$	52.9812	−	9.70916i	1.80455	−	0.330695i
$863$	−13.6545	−	7.16645i	−0.464805	−	0.243949i	0.216028	−	0.976387i	$-0.430690\pi$
$863$	−13.6545	−	7.16645i	−0.464805	−	0.243949i	−0.680833	+	0.732439i	$0.738382\pi$
$864$	−1.73824	+	0.659228i	−0.0591362	+	0.0224274i
$865$	−0.459879	−	3.78744i	−0.0156363	−	0.128777i
$866$	23.7826	+	52.8428i	0.808166	+	1.79567i
$867$	19.4713	+	3.56825i	0.661280	+	0.121184i
$868$	2.57190	−	3.28279i	0.0872960	−	0.111425i
$869$	−0.291493	−	25.9134i	−0.00988822	−	0.879051i
$870$	−4.30892	−	2.60483i	−0.146086	−	0.0883121i
$871$	7.74728	−	7.74728i	0.262507	−	0.262507i
$872$	−18.6892	+	4.60648i	−0.632898	+	0.155995i
$873$	10.3822	+	1.26063i	0.351384	+	0.0426658i
$874$	59.0444	−	18.3990i	1.99721	−	0.622355i
$875$	−47.0178	+	14.6513i	−1.58949	+	0.495306i
$876$	−2.68015	−	0.325429i	−0.0905538	−	0.0109952i
$877$	−31.5802	+	7.78383i	−1.06639	+	0.262841i	−0.733196	−	0.680017i	$-0.761972\pi$
$877$	−31.5802	+	7.78383i	−1.06639	+	0.262841i	−0.333193	+	0.942859i	$0.608126\pi$
$878$	−15.0905	+	15.0905i	−0.509279	+	0.509279i
$879$	−3.81134	−	2.30403i	−0.128553	−	0.0777132i
$880$	−0.225305	−	20.0294i	−0.00759504	−	0.675190i
$881$	1.44399	−	1.84312i	0.0486493	−	0.0620963i	−0.762246	−	0.647287i	$-0.775903\pi$
$881$	1.44399	−	1.84312i	0.0486493	−	0.0620963i	0.810896	+	0.585191i	$0.198980\pi$
$882$	−65.6123	−	12.0239i	−2.20928	−	0.404866i
$883$	−1.22406	−	2.71975i	−0.0411929	−	0.0915269i	0.890154	−	0.455659i	$-0.150596\pi$
$883$	−1.22406	−	2.71975i	−0.0411929	−	0.0915269i	−0.931347	+	0.364132i	$0.881366\pi$
$884$	−0.158642	−	1.30654i	−0.00533572	−	0.0439436i
$885$	30.7852	−	11.6753i	1.03483	−	0.392461i
$886$	7.08121	+	3.71651i	0.237898	+	0.124858i
$887$	−27.9279	+	5.11798i	−0.937727	+	0.171845i	−0.627322	−	0.778760i	$-0.715849\pi$
$887$	−27.9279	+	5.11798i	−0.937727	+	0.171845i	−0.310405	+	0.950604i	$0.600465\pi$
$888$	−10.4453	−	15.1326i	−0.350522	−	0.507818i
$889$	50.3871	−	30.4601i	1.68993	−	1.02160i
$890$	−1.72741	+	7.00837i	−0.0579028	+	0.234921i
$891$	−8.83939	+	20.2458i	−0.296131	+	0.678258i
$892$	−2.11593	+	1.87455i	−0.0708464	+	0.0627645i
$893$	39.5763	−	31.0061i	1.32437	−	1.03758i
$894$	−42.0770	+	22.0837i	−1.40727	+	0.738590i
$895$	1.60544	+	1.42230i	0.0536640	+	0.0475422i
$896$	−3.37420	+	55.7822i	−0.112724	+	1.86355i
$897$	−34.1372	−	23.5632i	−1.13981	−	0.786752i
$898$	50.4459	+	22.7038i	1.68340	+	0.757637i
$899$	1.34579	−	4.31880i	0.0448847	−	0.144040i
$900$		−	2.23548i		−	0.0745161i
$901$	−16.7965	+	14.5530i	−0.559573	+	0.484832i
$902$	0.527857	−	10.7273i	0.0175757	−	0.357182i
$903$	24.5056	−	78.6411i	0.815494	−	2.61701i
$904$	11.2785	−	25.0598i	0.375117	−	0.833475i
$905$	11.8396	+	8.17229i	0.393562	+	0.271656i
$906$	14.5936	+	0.882752i	0.484841	+	0.0293275i
$907$	−22.7817	+	25.7153i	−0.756455	+	0.853861i	−0.993043	−	0.117749i	$-0.962432\pi$
$907$	−22.7817	+	25.7153i	−0.756455	+	0.853861i	0.236588	+	0.971610i	$0.423971\pi$
$908$	−2.58274	+	1.35553i	−0.0857112	+	0.0449847i
$909$	−15.4822	−	19.7616i	−0.513514	−	0.655452i
$910$	−14.6382	+	12.9683i	−0.485252	+	0.429896i
$911$	−15.1268	+	39.8862i	−0.501174	+	1.32149i	0.410981	+	0.911644i	$0.365186\pi$
$911$	−15.1268	+	39.8862i	−0.501174	+	1.32149i	−0.912156	+	0.409844i	$0.865583\pi$
$912$	−61.1493	−	15.0720i	−2.02486	−	0.499082i
$913$	14.4132	+	26.7271i	0.477007	+	0.884537i
$914$	18.5688	+	26.9016i	0.614203	+	0.889826i
$915$	−7.29575	−	39.8116i	−0.241190	−	1.31613i
$916$	2.64688	+	1.38919i	0.0874553	+	0.0459001i
$917$	31.7485	+	83.7139i	1.04843	+	2.76448i
$918$	−7.43888	+	0.903244i	−0.245520	+	0.0298115i
$919$	−19.0087	−	42.2357i	−0.627040	−	1.39323i	−0.901986	−	0.431766i	$-0.857891\pi$
$919$	−19.0087	−	42.2357i	−0.627040	−	1.39323i	0.274945	−	0.961460i	$-0.411340\pi$
$920$	−4.96132	+	27.0731i	−0.163570	+	0.892572i
$921$	3.01781	−	3.85195i	0.0994402	−	0.126926i
$922$	2.75457	+	45.5385i	0.0907171	+	1.49973i
$923$	−16.7365	+	27.6856i	−0.550889	+	0.911282i
$924$	5.03106	+	5.55181i	0.165510	+	0.182641i
$925$	7.99001	−	1.96936i	0.262710	−	0.0647522i
$926$	−7.22013	+	59.4631i	−0.237268	+	1.95408i
$927$	42.8994	−	13.3680i	1.40900	−	0.439062i
$928$	−0.317689	−	1.01950i	−0.0104287	−	0.0334668i
$929$	1.90942	−	15.7255i	0.0626459	−	0.515936i	−0.927282	−	0.374364i	$-0.877861\pi$
$929$	1.90942	−	15.7255i	0.0626459	−	0.515936i	0.989928	−	0.141572i	$-0.0452157\pi$
$930$	−24.4639	+	6.02981i	−0.802202	+	0.197725i
$931$	−48.9562	−	48.9562i	−1.60447	−	1.60447i
$932$	3.58768	+	2.16883i	0.117518	+	0.0710424i
$933$	−6.57932	+	0.397976i	−0.215397	+	0.0130291i
$934$	−47.5896	−	37.2841i	−1.55718	−	1.21997i
$935$	3.20384	−	13.6578i	0.104777	−	0.446659i
$936$	8.63707	+	19.1908i	0.282311	+	0.627270i
$937$	−44.2446	+	5.37227i	−1.44541	+	0.175504i	−0.805339	−	0.592814i	$-0.798017\pi$
$937$	−44.2446	+	5.37227i	−1.44541	+	0.175504i	−0.640068	+	0.768318i	$0.721094\pi$
$938$	30.8866	−	11.7137i	1.00848	−	0.382467i
$939$	0.927296	−	1.76681i	0.0302612	−	0.0576578i
$940$	−0.446302	−	2.43539i	−0.0145568	−	0.0794338i
$941$	−21.7801	−	31.5539i	−0.710011	−	1.02863i	−0.997488	−	0.0708409i	$-0.977432\pi$
$941$	−21.7801	−	31.5539i	−0.710011	−	1.02863i	0.287477	−	0.957788i	$-0.407184\pi$
$942$	−13.4092	−	22.1816i	−0.436897	−	0.722715i
$943$	−3.88728	+	15.7713i	−0.126587	+	0.513584i
$944$	37.5772	+	14.2512i	1.22303	+	0.463835i
$945$	6.68988	+	7.55131i	0.217622	+	0.245644i
$946$	−29.1806	+	20.6303i	−0.948743	+	0.670750i
$947$	−8.32500	+	4.36930i	−0.270526	+	0.141983i	−0.594532	−	0.804072i	$-0.702663\pi$
$947$	−8.32500	+	4.36930i	−0.270526	+	0.141983i	0.324006	+	0.946055i	$0.394970\pi$
$948$	−2.66092	+	3.00355i	−0.0864225	+	0.0975509i
$949$	−0.686789	+	11.3540i	−0.0222941	+	0.368566i
$950$	14.5474	−	21.0756i	0.471980	−	0.683782i
$951$	−7.85473	+	17.4525i	−0.254707	+	0.565936i
$952$	−10.6685	+	34.2364i	−0.345768	+	1.10961i
$953$	41.7254			1.35162			0.675810	−	0.737076i	$-0.263794\pi$
$953$	41.7254			1.35162			0.675810	+	0.737076i	$0.263794\pi$
$954$	−20.7131	+	33.4255i	−0.670610	+	1.08219i
$955$	36.7694			1.18983
$956$	−4.26175	−	1.32801i	−0.137835	−	0.0429511i
$957$	7.23819	+	3.69566i	0.233977	+	0.119464i
$958$	−21.6784	−	14.9635i	−0.700396	−	0.483448i
$959$	−1.53049	+	25.3020i	−0.0494221	+	0.817045i
$960$	16.6992	−	18.8495i	0.538964	−	0.608365i
$961$	3.88661	+	7.40532i	0.125374	+	0.238881i
$962$	6.74805	−	5.28676i	0.217566	−	0.170452i
$963$	37.0731	−	32.8439i	1.19466	−	1.05838i
$964$	1.67024	+	0.633439i	0.0537949	+	0.0204017i
$965$	30.4360	+	7.50179i	0.979768	+	0.241491i
$966$	−64.6989	−	107.025i	−2.08165	−	3.44348i
$967$	37.0286	−	25.5590i	1.19076	−	0.821921i	0.203195	−	0.979138i	$-0.434868\pi$
$967$	37.0286	−	25.5590i	1.19076	−	0.821921i	0.987564	+	0.157217i	$0.0502522\pi$
$968$	2.43277	+	29.2743i	0.0781920	+	0.940913i
$969$	−39.0557	−	20.4980i	−1.25465	−	0.658491i
$970$	5.51678	−	2.09224i	0.177133	−	0.0671777i
$971$	−23.1184	+	2.80708i	−0.741904	+	0.0900835i	−0.482757	−	0.875754i	$-0.660365\pi$
$971$	−23.1184	+	2.80708i	−0.741904	+	0.0900835i	−0.259147	+	0.965838i	$0.583441\pi$
$972$	4.02159	−	1.80997i	0.128992	−	0.0580548i
$973$	−71.8955	−	13.1753i	−2.30486	−	0.422382i
$974$	21.1475	−	26.9928i	0.677609	−	0.864904i
$975$	−17.1446	+	1.03706i	−0.549068	+	0.0332125i
$976$	25.5587	−	42.2793i	0.818114	−	1.35333i
$977$	23.9033	+	23.9033i	0.764735	+	0.764735i	0.977174	−	0.212439i	$-0.0681408\pi$
$977$	23.9033	+	23.9033i	0.764735	+	0.764735i	−0.212439	+	0.977174i	$0.568141\pi$
$978$	−8.90104	−	36.1130i	−0.284624	−	1.15476i
$979$	1.97106	−	11.4828i	0.0629955	−	0.366991i
$980$	−3.25522	+	1.01437i	−0.103984	+	0.0324028i
$981$	−25.0643	+	7.81035i	−0.800241	+	0.249365i
$982$	3.36442	−	27.7085i	0.107363	−	0.884213i
$983$	−2.55289	−	10.3575i	−0.0814244	−	0.330352i	0.916077	−	0.401003i	$-0.131338\pi$
$983$	−2.55289	−	10.3575i	−0.0814244	−	0.330352i	−0.997501	+	0.0706513i	$0.977492\pi$
$984$	10.6271	−	10.6271i	0.338779	−	0.338779i
$985$	−6.28440	−	3.79905i	−0.200238	−	0.121048i
$986$	−0.259889	−	4.29648i	−0.00827656	−	0.136828i
$987$	−80.0306	−	62.7000i	−2.54740	−	1.99576i
$988$	0.435684	−	2.37745i	0.0138610	−	0.0756368i
$989$	49.2855	−	22.1816i	1.56719	−	0.705334i
$990$	−1.77730	−	24.7581i	−0.0564862	−	0.786864i
$991$	−25.2596	+	9.57971i	−0.802398	+	0.304309i	−0.721501	−	0.692413i	$-0.756548\pi$
$991$	−25.2596	+	9.57971i	−0.802398	+	0.304309i	−0.0808966	+	0.996722i	$0.525778\pi$
$992$	−4.73157	−	2.48332i	−0.150227	−	0.0788454i
$993$	−6.76381	−	36.9089i	−0.214643	−	1.17127i
$994$	−80.2729	+	55.4084i	−2.54610	+	1.75745i
$995$	3.07944	−	1.86159i	0.0976248	−	0.0590162i
$996$	1.12523	−	4.56523i	0.0356542	−	0.144655i
$997$	−13.9276	+	36.7242i	−0.441093	+	1.16307i	0.511624	+	0.859209i	$0.329044\pi$
$997$	−13.9276	+	36.7242i	−0.441093	+	1.16307i	−0.952717	+	0.303858i	$0.901725\pi$
$998$	1.20140	+	1.35610i	0.0380297	+	0.0429267i
$999$	−2.72724	−	3.48107i	−0.0862861	−	0.110136i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.14	✓	1200
11.10	odd	2	inner	583.2.q.b.21.37	yes	1200
53.48	odd	52	inner	583.2.q.b.472.37	yes	1200
583.472	even	52	inner	583.2.q.b.472.14	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.14	✓	1200	1.1	even	1	trivial
583.2.q.b.21.37	yes	1200	11.10	odd	2	inner
583.2.q.b.472.14	yes	1200	583.472	even	52	inner
583.2.q.b.472.37	yes	1200	53.48	odd	52	inner

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:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41584 - 0.441194i) q^{2} +(2.35020 + 1.05774i) q^{3} +(0.163990 + 0.113194i) q^{4} +(-1.38305 - 0.0836588i) q^{5} +(-2.86084 - 2.53449i) q^{6} +(-3.89495 + 2.04423i) q^{7} +(1.64693 + 2.10216i) q^{8} +(2.41526 + 2.72626i) q^{9} +(1.92126 + 0.728639i) q^{10} +(-3.17735 - 0.951027i) q^{11} +(0.265679 + 0.439486i) q^{12} +(1.78065 - 1.22909i) q^{13} +(6.41654 - 1.17587i) q^{14} +(-3.16194 - 1.65952i) q^{15} +(-1.54566 - 4.07557i) q^{16} +(-0.367965 - 3.03047i) q^{17} +(-2.21681 - 4.92555i) q^{18} +(1.01055 - 5.51442i) q^{19} +(-0.217335 - 0.170271i) q^{20} +(-11.3162 + 0.684502i) q^{21} +(4.07904 + 2.74833i) q^{22} +(-5.25989 - 5.25989i) q^{23} +(1.64709 + 6.68251i) q^{24} +(-3.05773 - 0.371276i) q^{25} +(-3.06339 + 0.954590i) q^{26} +(0.492437 + 1.58029i) q^{27} +(-0.870126 - 0.105652i) q^{28} +(-0.923152 + 0.227537i) q^{29} +(3.74464 + 3.74464i) q^{30} +(-2.46139 + 4.07164i) q^{31} +(0.0678131 + 1.12108i) q^{32} +(-6.46146 - 5.59591i) q^{33} +(-0.816044 + 4.45301i) q^{34} +(5.55791 - 2.50141i) q^{35} +(0.0874810 + 0.720471i) q^{36} +(-2.49802 + 0.947374i) q^{37} +(-3.86371 + 7.36169i) q^{38} +(5.48494 - 1.00515i) q^{39} +(-2.10192 - 3.04516i) q^{40} +(-1.12968 - 1.86872i) q^{41} +(16.3239 + 4.02348i) q^{42} +(-2.57647 + 6.79360i) q^{43} +(-0.413402 - 0.515615i) q^{44} +(-3.11233 - 3.97260i) q^{45} +(5.12654 + 9.76781i) q^{46} +(6.71252 + 5.94677i) q^{47} +(0.678279 - 11.2133i) q^{48} +(7.01533 - 10.1635i) q^{49} +(4.16546 + 1.87472i) q^{50} +(2.34065 - 7.51141i) q^{51} +0.431134 q^{52} +(-4.06926 - 6.03665i) q^{53} -2.45470i q^{54} +(4.31486 + 1.58113i) q^{55} +(-10.7120 - 4.82109i) q^{56} +(8.20782 - 11.8911i) q^{57} +(1.40743 + 0.0851336i) q^{58} +(-6.11407 + 6.90136i) q^{59} +(-0.330679 - 0.630056i) q^{60} +(6.99009 + 8.92220i) q^{61} +(5.28133 - 4.67885i) q^{62} +(-14.9804 - 5.68132i) q^{63} +(-1.68766 + 6.84712i) q^{64} +(-2.56554 + 1.55092i) q^{65} +(6.67953 + 10.7737i) q^{66} +(4.98087 - 0.912777i) q^{67} +(0.282688 - 0.538616i) q^{68} +(-6.79820 - 17.9254i) q^{69} +(-8.97274 + 1.08949i) q^{70} +(-13.6349 + 6.13656i) q^{71} +(-1.75326 + 9.56722i) q^{72} +(-3.24221 + 4.13838i) q^{73} +(3.95478 - 0.239220i) q^{74} +(-6.79356 - 4.10685i) q^{75} +(0.789918 - 0.789918i) q^{76} +(14.3197 - 2.79102i) q^{77} +(-8.20928 - 0.996787i) q^{78} +(2.32459 + 7.45987i) q^{79} +(1.79676 + 5.76600i) q^{80} +(0.802868 - 6.61221i) q^{81} +(0.774983 + 3.14423i) q^{82} +(-6.47399 - 6.47399i) q^{83} +(-1.93322 - 1.16867i) q^{84} +(0.255387 + 4.22206i) q^{85} +(6.64517 - 8.48194i) q^{86} +(-2.41027 - 0.441698i) q^{87} +(-3.23368 - 8.24556i) q^{88} +(0.423424 + 3.48721i) q^{89} +(2.65388 + 6.99772i) q^{90} +(-4.42300 + 8.42731i) q^{91} +(-0.267180 - 1.45795i) q^{92} +(-10.0915 + 6.96566i) q^{93} +(-6.88019 - 11.3812i) q^{94} +(-1.85897 + 7.54214i) q^{95} +(-1.02644 + 2.70650i) q^{96} +(2.14930 - 1.90411i) q^{97} +(-14.4167 + 11.2947i) q^{98} +(-5.08136 - 10.9593i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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