LMFDB - Embedded newform 603.2.e.b.202.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [603,2,Mod(202,603)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(603, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("603.202");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 603 = 3^{2} \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	603.e (of order $3$, degree $2$, 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:	$4.81497924188$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$33$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			202.13
Character	$\chi$	$=$	603.202
Dual form			603.2.e.b.403.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281257 - 0.487152i) q^{2} +(-0.338651 + 1.69862i) q^{3} +(0.841789 - 1.45802i) q^{4} +(-1.22840 + 2.12765i) q^{5} +(0.922735 - 0.312775i) q^{6} +(1.06806 + 1.84994i) q^{7} -2.07207 q^{8} +(-2.77063 - 1.15048i) q^{9} +O(q^{10})$	\(q+(-0.281257 - 0.487152i) q^{2} +(-0.338651 + 1.69862i) q^{3} +(0.841789 - 1.45802i) q^{4} +(-1.22840 + 2.12765i) q^{5} +(0.922735 - 0.312775i) q^{6} +(1.06806 + 1.84994i) q^{7} -2.07207 q^{8} +(-2.77063 - 1.15048i) q^{9} +1.38199 q^{10} +(0.559495 + 0.969073i) q^{11} +(2.19155 + 1.92364i) q^{12} +(-0.935088 + 1.61962i) q^{13} +(0.600800 - 1.04062i) q^{14} +(-3.19808 - 2.80712i) q^{15} +(-1.10079 - 1.90663i) q^{16} -6.38037 q^{17} +(0.218802 + 1.67330i) q^{18} +2.67001 q^{19} +(2.06811 + 3.58207i) q^{20} +(-3.50404 + 1.18775i) q^{21} +(0.314724 - 0.545118i) q^{22} +(-1.39538 + 2.41687i) q^{23} +(0.701707 - 3.51966i) q^{24} +(-0.517934 - 0.897088i) q^{25} +1.05200 q^{26} +(2.89251 - 4.31664i) q^{27} +3.59633 q^{28} +(-2.77233 - 4.80182i) q^{29} +(-0.468011 + 2.34747i) q^{30} +(-2.36260 + 4.09215i) q^{31} +(-2.69128 + 4.66143i) q^{32} +(-1.83556 + 0.622192i) q^{33} +(1.79453 + 3.10821i) q^{34} -5.24803 q^{35} +(-4.00971 + 3.07118i) q^{36} -6.54712 q^{37} +(-0.750958 - 1.30070i) q^{38} +(-2.43445 - 2.13685i) q^{39} +(2.54533 - 4.40863i) q^{40} +(-3.13900 + 5.43691i) q^{41} +(1.56415 + 1.37294i) q^{42} +(1.53493 + 2.65857i) q^{43} +1.88391 q^{44} +(5.85126 - 4.48169i) q^{45} +1.56984 q^{46} +(3.82531 + 6.62562i) q^{47} +(3.61143 - 1.22415i) q^{48} +(1.21849 - 2.11048i) q^{49} +(-0.291345 + 0.504625i) q^{50} +(2.16072 - 10.8378i) q^{51} +(1.57429 + 2.72676i) q^{52} +3.31020 q^{53} +(-2.91640 - 0.195003i) q^{54} -2.74913 q^{55} +(-2.21309 - 3.83319i) q^{56} +(-0.904200 + 4.53533i) q^{57} +(-1.55948 + 2.70109i) q^{58} +(-0.246015 + 0.426111i) q^{59} +(-6.78494 + 2.29986i) q^{60} +(3.18798 + 5.52175i) q^{61} +2.65800 q^{62} +(-0.830889 - 6.35428i) q^{63} -1.37541 q^{64} +(-2.29732 - 3.97908i) q^{65} +(0.819367 + 0.719201i) q^{66} +(0.500000 - 0.866025i) q^{67} +(-5.37093 + 9.30272i) q^{68} +(-3.63280 - 3.18870i) q^{69} +(1.47605 + 2.55659i) q^{70} -7.05659 q^{71} +(5.74093 + 2.38387i) q^{72} -11.5552 q^{73} +(1.84143 + 3.18944i) q^{74} +(1.69921 - 0.575974i) q^{75} +(2.24758 - 3.89292i) q^{76} +(-1.19515 + 2.07006i) q^{77} +(-0.356261 + 1.78695i) q^{78} +(-4.62755 - 8.01516i) q^{79} +5.40886 q^{80} +(6.35279 + 6.37511i) q^{81} +3.53147 q^{82} +(7.44155 + 12.8891i) q^{83} +(-1.21790 + 6.10880i) q^{84} +(7.83765 - 13.5752i) q^{85} +(0.863419 - 1.49548i) q^{86} +(9.09533 - 3.08300i) q^{87} +(-1.15931 - 2.00798i) q^{88} +11.9229 q^{89} +(-3.82897 - 1.58995i) q^{90} -3.99493 q^{91} +(2.34923 + 4.06899i) q^{92} +(-6.15092 - 5.39898i) q^{93} +(2.15179 - 3.72701i) q^{94} +(-3.27983 + 5.68084i) q^{95} +(-7.00660 - 6.15006i) q^{96} +(8.25294 + 14.2945i) q^{97} -1.37084 q^{98} +(-0.435254 - 3.32863i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/603\mathbb{Z}\right)^\times$.

$n$	$136$	$470$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.281257	−	0.487152i	−0.198879	−	0.344468i	0.749286	−	0.662246i	$-0.230397\pi$
$2$	−0.281257	−	0.487152i	−0.198879	−	0.344468i	−0.948165	+	0.317778i	$0.897063\pi$
$3$	−0.338651	+	1.69862i	−0.195520	+	0.980700i
$3$	−0.338651	+	1.69862i	−0.195520	+	0.980700i
$4$	0.841789	−	1.45802i	0.420894	−	0.729010i
$5$	−1.22840	+	2.12765i	−0.549357	+	0.951515i	0.448961	+	0.893551i	$0.351794\pi$
$5$	−1.22840	+	2.12765i	−0.549357	+	0.951515i	−0.998319	+	0.0579636i	$0.981539\pi$
$6$	0.922735	−	0.312775i	0.376705	−	0.127690i
$7$	1.06806	+	1.84994i	0.403689	+	0.699210i	0.994168	−	0.107843i	$-0.0343943\pi$
$7$	1.06806	+	1.84994i	0.403689	+	0.699210i	−0.590479	+	0.807053i	$0.701061\pi$
$8$	−2.07207			−0.732586
$9$	−2.77063	−	1.15048i	−0.923544	−	0.383493i
$10$	1.38199			0.437022
$11$	0.559495	+	0.969073i	0.168694	+	0.292187i	0.937961	−	0.346741i	$-0.112712\pi$
$11$	0.559495	+	0.969073i	0.168694	+	0.292187i	−0.769267	+	0.638928i	$0.779378\pi$
$12$	2.19155	+	1.92364i	0.632647	+	0.555307i
$13$	−0.935088	+	1.61962i	−0.259347	+	0.449202i	−0.966067	−	0.258291i	$-0.916841\pi$
$13$	−0.935088	+	1.61962i	−0.259347	+	0.449202i	0.706720	+	0.707493i	$0.250174\pi$
$14$	0.600800	−	1.04062i	0.160571	−	0.278116i
$15$	−3.19808	−	2.80712i	−0.825740	−	0.724795i
$16$	−1.10079	−	1.90663i	−0.275199	−	0.476658i
$17$	−6.38037			−1.54747			−0.773734	−	0.633511i	$-0.781613\pi$
$17$	−6.38037			−1.54747			−0.773734	+	0.633511i	$0.781613\pi$
$18$	0.218802	+	1.67330i	0.0515720	+	0.394400i
$19$	2.67001			0.612541			0.306271	−	0.951944i	$-0.400919\pi$
$19$	2.67001			0.612541			0.306271	+	0.951944i	$0.400919\pi$
$20$	2.06811	+	3.58207i	0.462443	+	0.800974i
$21$	−3.50404	+	1.18775i	−0.764645	+	0.259188i
$22$	0.314724	−	0.545118i	0.0670993	−	0.116219i
$23$	−1.39538	+	2.41687i	−0.290957	+	0.503953i	−0.974036	−	0.226392i	$-0.927307\pi$
$23$	−1.39538	+	2.41687i	−0.290957	+	0.503953i	0.683079	+	0.730344i	$0.260640\pi$
$24$	0.701707	−	3.51966i	0.143235	−	0.718447i
$25$	−0.517934	−	0.897088i	−0.103587	−	0.179418i
$26$	1.05200			0.206314
$27$	2.89251	−	4.31664i	0.556663	−	0.830738i
$28$	3.59633			0.679642
$29$	−2.77233	−	4.80182i	−0.514809	−	0.891675i	−0.999852	−	0.0171852i	$-0.994529\pi$
$29$	−2.77233	−	4.80182i	−0.514809	−	0.891675i	0.485043	−	0.874490i	$-0.338804\pi$
$30$	−0.468011	+	2.34747i	−0.0854467	+	0.428588i
$31$	−2.36260	+	4.09215i	−0.424336	+	0.734972i	−0.996358	−	0.0852664i	$-0.972826\pi$
$31$	−2.36260	+	4.09215i	−0.424336	+	0.734972i	0.572022	+	0.820238i	$0.306159\pi$
$32$	−2.69128	+	4.66143i	−0.475755	+	0.824032i
$33$	−1.83556	+	0.622192i	−0.319530	+	0.108310i
$34$	1.79453	+	3.10821i	0.307759	+	0.533054i
$35$	−5.24803			−0.887079
$36$	−4.00971	+	3.07118i	−0.668285	+	0.511863i
$37$	−6.54712			−1.07634			−0.538170	−	0.842836i	$-0.680884\pi$
$37$	−6.54712			−1.07634			−0.538170	+	0.842836i	$0.680884\pi$
$38$	−0.750958	−	1.30070i	−0.121821	−	0.211001i
$39$	−2.43445	−	2.13685i	−0.389824	−	0.342169i
$40$	2.54533	−	4.40863i	0.402451	−	0.697066i
$41$	−3.13900	+	5.43691i	−0.490230	+	0.849103i	−0.999937	−	0.0112453i	$-0.996420\pi$
$41$	−3.13900	+	5.43691i	−0.490230	+	0.849103i	0.509707	+	0.860348i	$0.329754\pi$
$42$	1.56415	+	1.37294i	0.241354	+	0.211849i
$43$	1.53493	+	2.65857i	0.234074	+	0.405428i	0.959003	−	0.283395i	$-0.0914608\pi$
$43$	1.53493	+	2.65857i	0.234074	+	0.405428i	−0.724929	+	0.688824i	$0.758127\pi$
$44$	1.88391			0.284009
$45$	5.85126	−	4.48169i	0.872255	−	0.668091i
$46$	1.56984			0.231461
$47$	3.82531	+	6.62562i	0.557978	+	0.966447i	0.997665	+	0.0682956i	$0.0217561\pi$
$47$	3.82531	+	6.62562i	0.557978	+	0.966447i	−0.439687	+	0.898151i	$0.644911\pi$
$48$	3.61143	−	1.22415i	0.521265	−	0.176691i
$49$	1.21849	−	2.11048i	0.174070	−	0.301498i
$50$	−0.291345	+	0.504625i	−0.0412024	+	0.0713647i
$51$	2.16072	−	10.8378i	0.302561	−	1.51760i
$52$	1.57429	+	2.72676i	0.218315	+	0.378133i
$53$	3.31020			0.454691			0.227345	−	0.973814i	$-0.426995\pi$
$53$	3.31020			0.454691			0.227345	+	0.973814i	$0.426995\pi$
$54$	−2.91640	−	0.195003i	−0.396872	−	0.0265366i
$55$	−2.74913			−0.370693
$56$	−2.21309	−	3.83319i	−0.295737	−	0.512232i
$57$	−0.904200	+	4.53533i	−0.119764	+	0.600719i
$58$	−1.55948	+	2.70109i	−0.204769	+	0.354671i
$59$	−0.246015	+	0.426111i	−0.0320285	+	0.0554749i	−0.881595	−	0.472006i	$-0.843530\pi$
$59$	−0.246015	+	0.426111i	−0.0320285	+	0.0554749i	0.849567	+	0.527481i	$0.176863\pi$
$60$	−6.78494	+	2.29986i	−0.875932	+	0.296911i
$61$	3.18798	+	5.52175i	0.408179	+	0.706987i	0.994686	−	0.102957i	$-0.0328305\pi$
$61$	3.18798	+	5.52175i	0.408179	+	0.706987i	−0.586506	+	0.809945i	$0.699497\pi$
$62$	2.65800			0.337566
$63$	−0.830889	−	6.35428i	−0.104682	−	0.800564i
$64$	−1.37541			−0.171926
$65$	−2.29732	−	3.97908i	−0.284948	−	0.493544i
$66$	0.819367	+	0.719201i	0.100857	+	0.0885276i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$67$	0.500000	−	0.866025i	0.0610847	−	0.105802i
$68$	−5.37093	+	9.30272i	−0.651321	+	1.12812i
$69$	−3.63280	−	3.18870i	−0.437338	−	0.383875i
$70$	1.47605	+	2.55659i	0.176421	+	0.305570i
$71$	−7.05659			−0.837463			−0.418731	−	0.908110i	$-0.637525\pi$
$71$	−7.05659			−0.837463			−0.418731	+	0.908110i	$0.637525\pi$
$72$	5.74093	+	2.38387i	0.676575	+	0.280942i
$73$	−11.5552			−1.35243			−0.676217	−	0.736703i	$-0.736382\pi$
$73$	−11.5552			−1.35243			−0.676217	+	0.736703i	$0.736382\pi$
$74$	1.84143	+	3.18944i	0.214061	+	0.370765i
$75$	1.69921	−	0.575974i	0.196208	−	0.0665078i
$76$	2.24758	−	3.89292i	0.257815	−	0.446549i
$77$	−1.19515	+	2.07006i	−0.136200	+	0.235905i
$78$	−0.356261	+	1.78695i	−0.0403386	+	0.202332i
$79$	−4.62755	−	8.01516i	−0.520640	−	0.901775i	−0.999712	−	0.0239997i	$-0.992360\pi$
$79$	−4.62755	−	8.01516i	−0.520640	−	0.901775i	0.479072	−	0.877776i	$-0.340973\pi$
$80$	5.40886			0.604729
$81$	6.35279	+	6.37511i	0.705866	+	0.708346i
$82$	3.53147			0.389985
$83$	7.44155	+	12.8891i	0.816816	+	1.41477i	0.908016	+	0.418935i	$0.137596\pi$
$83$	7.44155	+	12.8891i	0.816816	+	1.41477i	−0.0912002	+	0.995833i	$0.529070\pi$
$84$	−1.21790	+	6.10880i	−0.132884	+	0.666525i
$85$	7.83765	−	13.5752i	0.850113	−	1.47244i
$86$	0.863419	−	1.49548i	0.0931048	−	0.161262i
$87$	9.09533	−	3.08300i	0.975121	−	0.330532i
$88$	−1.15931	−	2.00798i	−0.123583	−	0.214052i
$89$	11.9229			1.26383			0.631914	−	0.775039i	$-0.282270\pi$
$89$	11.9229			1.26383			0.631914	+	0.775039i	$0.282270\pi$
$90$	−3.82897	−	1.58995i	−0.403609	−	0.167595i
$91$	−3.99493			−0.418782
$92$	2.34923	+	4.06899i	0.244925	+	0.424222i
$93$	−6.15092	−	5.39898i	−0.637820	−	0.559848i
$94$	2.15179	−	3.72701i	0.221940	−	0.384412i
$95$	−3.27983	+	5.68084i	−0.336504	+	0.582842i
$96$	−7.00660	−	6.15006i	−0.715108	−	0.627688i
$97$	8.25294	+	14.2945i	0.837959	+	1.45139i	0.891598	+	0.452827i	$0.149584\pi$
$97$	8.25294	+	14.2945i	0.837959	+	1.45139i	−0.0536397	+	0.998560i	$0.517082\pi$
$98$	−1.37084			−0.138475
$99$	−0.435254	−	3.32863i	−0.0437447	−	0.334540i
$100$	−1.74396			−0.174396
$101$	3.00869	+	5.21121i	0.299376	+	0.518535i	0.975993	−	0.217800i	$-0.0698881\pi$
$101$	3.00869	+	5.21121i	0.299376	+	0.518535i	−0.676617	+	0.736335i	$0.736555\pi$
$102$	−5.88739	+	1.99562i	−0.582939	+	0.197596i
$103$	1.85912	−	3.22008i	0.183184	−	0.317284i	−0.759779	−	0.650181i	$-0.774693\pi$
$103$	1.85912	−	3.22008i	0.183184	−	0.317284i	0.942963	+	0.332897i	$0.108026\pi$
$104$	1.93756	−	3.35596i	0.189994	−	0.329079i
$105$	1.77725	−	8.91441i	0.173442	−	0.869958i
$106$	−0.931018	−	1.61257i	−0.0904284	−	0.156627i
$107$	5.40584			0.522603			0.261301	−	0.965257i	$-0.415848\pi$
$107$	5.40584			0.522603			0.261301	+	0.965257i	$0.415848\pi$
$108$	−3.85888	−	7.85104i	−0.371320	−	0.755466i
$109$	9.98603			0.956488			0.478244	−	0.878227i	$-0.341273\pi$
$109$	9.98603			0.956488			0.478244	+	0.878227i	$0.341273\pi$
$110$	0.773214	+	1.33925i	0.0737230	+	0.127692i
$111$	2.21719	−	11.1211i	0.210446	−	1.05557i
$112$	2.35143	−	4.07280i	0.222189	−	0.384843i
$113$	8.61081	−	14.9144i	0.810037	−	1.40303i	−0.102800	−	0.994702i	$-0.532780\pi$
$113$	8.61081	−	14.9144i	0.810037	−	1.40303i	0.912837	−	0.408324i	$-0.133886\pi$
$114$	2.46371	−	0.835111i	0.230747	−	0.0782153i
$115$	−3.42817	−	5.93777i	−0.319679	−	0.553700i
$116$	−9.33487			−0.866721
$117$	4.45412	−	3.41157i	0.411784	−	0.315400i
$118$	0.276774			0.0254791
$119$	−6.81463	−	11.8033i	−0.624696	−	1.08201i
$120$	6.62662	+	5.81653i	0.604925	+	0.530974i
$121$	4.87393	−	8.44190i	0.443085	−	0.767445i
$122$	1.79329	−	3.10606i	0.162357	−	0.281210i
$123$	−8.17223	−	7.17319i	−0.736865	−	0.646785i
$124$	3.97763	+	6.88945i	0.357201	+	0.618691i
$125$	−9.73908			−0.871090
$126$	−2.86180	+	2.19196i	−0.254950	+	0.195275i
$127$	9.38489			0.832775			0.416387	−	0.909187i	$-0.363296\pi$
$127$	9.38489			0.832775			0.416387	+	0.909187i	$0.363296\pi$
$128$	5.76940	+	9.99289i	0.509948	+	0.883255i
$129$	−5.03571	+	1.70693i	−0.443370	+	0.150287i
$130$	−1.29228	+	2.23829i	−0.113340	+	0.196311i
$131$	5.99138	−	10.3774i	0.523469	−	0.906675i	−0.476158	−	0.879360i	$-0.657971\pi$
$131$	5.99138	−	10.3774i	0.523469	−	0.906675i	0.999627	−	0.0273149i	$-0.00869570\pi$
$132$	−0.637986	+	3.20004i	−0.0555296	+	0.278528i
$133$	2.85173	+	4.93934i	0.247276	+	0.428295i
$134$	−0.562514			−0.0485938
$135$	5.63115	+	11.4568i	0.484653	+	0.986045i
$136$	13.2206			1.13365
$137$	6.97405	+	12.0794i	0.595833	+	1.03201i	0.993429	+	0.114452i	$0.0365113\pi$
$137$	6.97405	+	12.0794i	0.595833	+	1.03201i	−0.397596	+	0.917561i	$0.630155\pi$
$138$	−0.531629	+	2.66657i	−0.0452553	+	0.226994i
$139$	6.96022	−	12.0554i	0.590358	−	1.02253i	−0.403826	−	0.914836i	$-0.632320\pi$
$139$	6.96022	−	12.0554i	0.590358	−	1.02253i	0.994184	−	0.107694i	$-0.0343467\pi$
$140$	−4.41773	+	7.65173i	−0.373366	+	0.646690i
$141$	−12.5499	+	4.25397i	−1.05689	+	0.358249i
$142$	1.98472	+	3.43763i	0.166554	+	0.288479i
$143$	−2.09271			−0.175001
$144$	0.856353	+	6.54901i	0.0713628	+	0.545751i
$145$	13.6221			1.13126
$146$	3.24998	+	5.62914i	0.268971	+	0.465871i
$147$	3.17227	+	2.78447i	0.261645	+	0.229659i
$148$	−5.51130	+	9.54584i	−0.453026	+	0.784664i
$149$	1.78404	−	3.09005i	0.146154	−	0.253147i	−0.783649	−	0.621204i	$-0.786644\pi$
$149$	1.78404	−	3.09005i	0.146154	−	0.253147i	0.929803	+	0.368057i	$0.119977\pi$
$150$	−0.758502	−	0.665777i	−0.0619315	−	0.0543605i
$151$	−4.64218	−	8.04049i	−0.377775	−	0.654325i	0.612963	−	0.790111i	$-0.289977\pi$
$151$	−4.64218	−	8.04049i	−0.377775	−	0.654325i	−0.990738	+	0.135786i	$0.956644\pi$
$152$	−5.53243			−0.448739
$153$	17.6777	+	7.34049i	1.42915	+	0.593444i
$154$	1.34458			0.108349
$155$	−5.80445	−	10.0536i	−0.466224	−	0.807524i
$156$	−5.16486	+	1.75071i	−0.413520	+	0.140169i
$157$	−5.52103	+	9.56270i	−0.440626	+	0.763186i	−0.997736	−	0.0672522i	$-0.978577\pi$
$157$	−5.52103	+	9.56270i	−0.440626	+	0.763186i	0.557110	+	0.830439i	$0.311910\pi$
$158$	−2.60306	+	4.50864i	−0.207089	+	0.358688i
$159$	−1.12100	+	5.62278i	−0.0889013	+	0.445915i
$160$	−6.61193	−	11.4522i	−0.522719	−	0.905376i
$161$	−5.96141			−0.469825
$162$	1.31888	−	4.88782i	0.103621	−	0.384023i
$163$	−13.4758			−1.05551			−0.527753	−	0.849398i	$-0.676965\pi$
$163$	−13.4758			−1.05551			−0.527753	+	0.849398i	$0.676965\pi$
$164$	5.28475	+	9.15346i	0.412670	+	0.714765i
$165$	0.930997	−	4.66974i	0.0724780	−	0.363539i
$166$	4.18598	−	7.25033i	0.324895	−	0.562735i
$167$	5.45676	−	9.45138i	0.422257	−	0.731370i	−0.573903	−	0.818923i	$-0.694571\pi$
$167$	5.45676	−	9.45138i	0.422257	−	0.731370i	0.996160	+	0.0875531i	$0.0279048\pi$
$168$	7.26061	−	2.46109i	0.560168	−	0.189878i
$169$	4.75122	+	8.22936i	0.365479	+	0.633027i
$170$	−8.81758			−0.676278
$171$	−7.39760	−	3.07179i	−0.565709	−	0.234905i
$172$	5.16834			0.394082
$173$	−7.42590	−	12.8620i	−0.564581	−	0.977883i	−0.997089	−	0.0762524i	$-0.975705\pi$
$173$	−7.42590	−	12.8620i	−0.564581	−	0.977883i	0.432508	−	0.901630i	$-0.357629\pi$
$174$	−4.06002	−	3.56369i	−0.307789	−	0.270162i
$175$	1.10637	−	1.91629i	0.0836338	−	0.144858i
$176$	1.23178	−	2.13350i	0.0928487	−	0.160819i
$177$	−0.640488	−	0.562190i	−0.0481420	−	0.0422568i
$178$	−3.35341	−	5.80827i	−0.251349	−	0.435348i
$179$	−0.896634			−0.0670175			−0.0335088	−	0.999438i	$-0.510668\pi$
$179$	−0.896634			−0.0670175			−0.0335088	+	0.999438i	$0.510668\pi$
$180$	−1.60887	−	12.3039i	−0.119918	−	0.917079i
$181$	6.94517			0.516231			0.258115	−	0.966114i	$-0.416899\pi$
$181$	6.94517			0.516231			0.258115	+	0.966114i	$0.416899\pi$
$182$	1.12360	+	1.94614i	0.0832869	+	0.144257i
$183$	−10.4590	+	3.54523i	−0.773150	+	0.262071i
$184$	2.89132	−	5.00792i	0.213151	−	0.369189i
$185$	8.04249	−	13.9300i	0.591296	−	1.02415i
$186$	−0.900134	+	4.51493i	−0.0660010	+	0.331051i
$187$	−3.56979	−	6.18305i	−0.261049	−	0.452149i
$188$	12.8804			0.939400
$189$	11.0749	+	0.740515i	0.805580	+	0.0538646i
$190$	3.68991			0.267694
$191$	−3.27942	−	5.68012i	−0.237290	−	0.410999i	0.722645	−	0.691219i	$-0.242926\pi$
$191$	−3.27942	−	5.68012i	−0.237290	−	0.410999i	−0.959936	+	0.280220i	$0.909593\pi$
$192$	0.465785	−	2.33630i	0.0336151	−	0.168608i
$193$	−4.55097	+	7.88251i	−0.327586	+	0.567396i	−0.982032	−	0.188713i	$-0.939568\pi$
$193$	−4.55097	+	7.88251i	−0.327586	+	0.567396i	0.654446	+	0.756108i	$0.272902\pi$
$194$	4.64240	−	8.04087i	0.333305	−	0.577300i
$195$	7.53695	−	2.55476i	0.539732	−	0.182951i
$196$	−2.05142	−	3.55316i	−0.146530	−	0.253797i
$197$	−15.9610			−1.13717			−0.568586	−	0.822624i	$-0.692510\pi$
$197$	−15.9610			−1.13717			−0.568586	+	0.822624i	$0.692510\pi$
$198$	−1.49913	+	1.14824i	−0.106539	+	0.0816016i
$199$	16.1251			1.14308			0.571541	−	0.820574i	$-0.306346\pi$
$199$	16.1251			1.14308			0.571541	+	0.820574i	$0.306346\pi$
$200$	1.07319	+	1.85882i	0.0758862	+	0.131439i
$201$	1.30172	+	1.14259i	0.0918165	+	0.0805922i
$202$	1.69243	−	2.93138i	0.119079	−	0.206251i
$203$	5.92204	−	10.2573i	0.415646	−	0.719920i
$204$	−13.9829	−	12.2735i	−0.979001	−	0.859320i
$205$	−7.71190	−	13.3574i	−0.538622	−	0.932921i
$206$	−2.09156			−0.145726
$207$	6.64665	−	5.09090i	0.461974	−	0.353842i
$208$	4.11736			0.285487
$209$	1.49385	+	2.58743i	0.103332	+	0.178976i
$210$	−4.84254	+	1.64145i	−0.334167	+	0.113271i
$211$	−13.5394	+	23.4509i	−0.932091	+	1.61443i	−0.152349	+	0.988327i	$0.548684\pi$
$211$	−13.5394	+	23.4509i	−0.932091	+	1.61443i	−0.779741	+	0.626102i	$0.784649\pi$
$212$	2.78649	−	4.82634i	0.191377	−	0.331474i
$213$	2.38972	−	11.9865i	0.163741	−	0.821299i
$214$	−1.52043	−	2.63347i	−0.103935	−	0.180020i
$215$	−7.54202			−0.514361
$216$	−5.99346	+	8.94437i	−0.407804	+	0.608587i
$217$	−10.0936			−0.685200
$218$	−2.80864	−	4.86471i	−0.190225	−	0.329480i
$219$	3.91318	−	19.6279i	0.264428	−	1.32633i
$220$	−2.31419	+	4.00829i	−0.156023	+	0.270239i
$221$	5.96621	−	10.3338i	0.401331	−	0.695125i
$222$	−6.04126	+	2.04778i	−0.405463	+	0.137438i
$223$	10.0579	+	17.4208i	0.673527	+	1.16658i	0.976897	+	0.213711i	$0.0685550\pi$
$223$	10.0579	+	17.4208i	0.673527	+	1.16658i	−0.303370	+	0.952873i	$0.598112\pi$
$224$	−11.4978			−0.768229
$225$	0.402922	+	3.08137i	0.0268615	+	0.205425i
$226$	−9.68741			−0.644397
$227$	−0.808643	−	1.40061i	−0.0536715	−	0.0929618i	0.837941	−	0.545760i	$-0.183759\pi$
$227$	−0.808643	−	1.40061i	−0.0536715	−	0.0929618i	−0.891613	+	0.452798i	$0.850426\pi$
$228$	5.85146	+	5.13613i	0.387522	+	0.340149i
$229$	−8.30549	+	14.3855i	−0.548842	+	0.950623i	0.449512	+	0.893274i	$0.351598\pi$
$229$	−8.30549	+	14.3855i	−0.548842	+	0.950623i	−0.998354	+	0.0573486i	$0.981735\pi$
$230$	−1.92840	+	3.34008i	−0.127155	+	0.220239i
$231$	−3.11151	−	2.73113i	−0.204722	−	0.179695i
$232$	5.74445	+	9.94968i	0.377142	+	0.653229i
$233$	15.9252			1.04330			0.521648	−	0.853161i	$-0.325318\pi$
$233$	15.9252			1.04330			0.521648	+	0.853161i	$0.325318\pi$
$234$	−2.91471	−	1.21031i	−0.190540	−	0.0791202i
$235$	−18.7960			−1.22612
$236$	0.414186	+	0.717391i	0.0269612	+	0.0466982i
$237$	15.1818	−	5.14612i	0.986167	−	0.334276i
$238$	−3.83333	+	6.63952i	−0.248478	+	0.430376i
$239$	−9.21227	+	15.9561i	−0.595892	+	1.03212i	0.397528	+	0.917590i	$0.369868\pi$
$239$	−9.21227	+	15.9561i	−0.595892	+	1.03212i	−0.993420	+	0.114526i	$0.963465\pi$
$240$	−1.83172	+	9.18761i	−0.118237	+	0.593058i
$241$	11.6415	+	20.1637i	0.749895	+	1.29886i	0.947873	+	0.318649i	$0.103229\pi$
$241$	11.6415	+	20.1637i	0.749895	+	1.29886i	−0.197978	+	0.980206i	$0.563437\pi$
$242$	−5.48331			−0.352481
$243$	−12.9803	+	8.63205i	−0.832685	+	0.553746i
$244$	10.7344			0.687202
$245$	2.99358	+	5.18504i	0.191253	+	0.331260i
$246$	−1.19593	+	5.99863i	−0.0762500	+	0.382458i
$247$	−2.49669	+	4.32439i	−0.158861	+	0.275155i
$248$	4.89547	−	8.47920i	0.310863	−	0.538430i
$249$	−24.4139	+	8.27546i	−1.54717	+	0.524436i
$250$	2.73919	+	4.74441i	0.173241	+	0.300063i
$251$	−4.98142			−0.314425			−0.157212	−	0.987565i	$-0.550251\pi$
$251$	−4.98142			−0.314425			−0.157212	+	0.987565i	$0.550251\pi$
$252$	−9.96410	−	4.13750i	−0.627679	−	0.260638i
$253$	−3.12283			−0.196331
$254$	−2.63957	−	4.57187i	−0.165621	−	0.286864i
$255$	20.4049	+	17.9105i	1.27781	+	1.12160i
$256$	1.86996	−	3.23886i	0.116872	−	0.202429i
$257$	10.9182	−	18.9108i	0.681057	−	1.17962i	−0.293602	−	0.955928i	$-0.594854\pi$
$257$	10.9182	−	18.9108i	0.681057	−	1.17962i	0.974659	−	0.223697i	$-0.0718126\pi$
$258$	2.24787	+	1.97307i	0.139946	+	0.122838i
$259$	−6.99273	−	12.1118i	−0.434507	−	0.752589i
$260$	−7.73545			−0.479732
$261$	2.15671	+	16.4936i	0.133497	+	1.02093i
$262$	−6.74047			−0.416428
$263$	4.76332	+	8.25032i	0.293719	+	0.508737i	0.974686	−	0.223578i	$-0.0717736\pi$
$263$	4.76332	+	8.25032i	0.293719	+	0.508737i	−0.680967	+	0.732314i	$0.738440\pi$
$264$	3.80341	−	1.28922i	0.234083	−	0.0793462i
$265$	−4.06625	+	7.04295i	−0.249788	+	0.432645i
$266$	1.60414	−	2.77845i	0.0983561	−	0.170358i
$267$	−4.03771	+	20.2525i	−0.247104	+	1.23943i
$268$	−0.841789	−	1.45802i	−0.0514204	−	0.0890628i
$269$	−16.6761			−1.01676			−0.508381	−	0.861132i	$-0.669756\pi$
$269$	−16.6761			−1.01676			−0.508381	+	0.861132i	$0.669756\pi$
$270$	3.99740	−	5.96554i	0.243274	−	0.363051i
$271$	−23.4108			−1.42210			−0.711051	−	0.703140i	$-0.751781\pi$
$271$	−23.4108			−1.42210			−0.711051	+	0.703140i	$0.751781\pi$
$272$	7.02348	+	12.1650i	0.425861	+	0.737613i
$273$	1.35289	−	6.78587i	0.0818804	−	0.410699i
$274$	3.92300	−	6.79484i	0.236997	−	0.410491i
$275$	0.579563	−	1.00383i	0.0349489	−	0.0605333i
$276$	−7.70725	+	2.61249i	−0.463922	+	0.157253i
$277$	11.5826	+	20.0616i	0.695929	+	1.20538i	0.969866	+	0.243637i	$0.0783406\pi$
$277$	11.5826	+	20.0616i	0.695929	+	1.20538i	−0.273937	+	0.961748i	$0.588326\pi$
$278$	−7.83044			−0.469639
$279$	11.2538	−	8.61971i	0.673750	−	0.516049i
$280$	10.8743			0.649861
$281$	7.88916	+	13.6644i	0.470628	+	0.815152i	0.999436	−	0.0335899i	$-0.0106940\pi$
$281$	7.88916	+	13.6644i	0.470628	+	0.815152i	−0.528808	+	0.848742i	$0.677361\pi$
$282$	5.60207	+	4.91723i	0.333599	+	0.292817i
$283$	5.62355	−	9.74028i	0.334286	−	0.579000i	−0.649062	−	0.760736i	$-0.724838\pi$
$283$	5.62355	−	9.74028i	0.334286	−	0.579000i	0.983347	+	0.181736i	$0.0581717\pi$
$284$	−5.94015	+	10.2886i	−0.352483	+	0.610519i
$285$	−8.53888	−	7.49502i	−0.505800	−	0.443967i
$286$	0.588589	+	1.01947i	0.0348040	+	0.0602823i
$287$	−13.4106			−0.791602
$288$	12.8194	−	9.81884i	0.755392	−	0.578581i
$289$	23.7092			1.39466
$290$	−3.83132	−	6.63604i	−0.224983	−	0.389682i
$291$	−27.0758	+	9.17777i	−1.58721	+	0.538010i
$292$	−9.72704	+	16.8477i	−0.569232	+	0.985939i
$293$	5.15541	−	8.92944i	0.301182	−	0.521663i	−0.675222	−	0.737615i	$-0.735952\pi$
$293$	5.15541	−	8.92944i	0.301182	−	0.521663i	0.976404	+	0.215952i	$0.0692854\pi$
$294$	0.464235	−	2.32853i	0.0270747	−	0.135803i
$295$	−0.604411	−	1.04687i	−0.0351901	−	0.0609511i
$296$	13.5661			0.788512
$297$	5.80149	+	0.387913i	0.336636	+	0.0225090i
$298$	−2.00710			−0.116268
$299$	−2.60961	−	4.51998i	−0.150918	−	0.261397i
$300$	0.590595	−	2.96234i	0.0340980	−	0.171030i
$301$	−3.27879	+	5.67904i	−0.188986	+	0.327334i
$302$	−2.61129	+	4.52289i	−0.150263	+	0.260263i
$303$	−9.87077	+	3.34585i	−0.567061	+	0.192214i
$304$	−2.93913	−	5.09072i	−0.168570	−	0.291973i
$305$	−15.6645			−0.896945
$306$	−1.39604	−	10.6763i	−0.0798061	−	0.610322i
$307$	−29.6138			−1.69015			−0.845075	−	0.534648i	$-0.820444\pi$
$307$	−29.6138			−1.69015			−0.845075	+	0.534648i	$0.820444\pi$
$308$	2.01213	+	3.48511i	0.114652	+	0.198582i
$309$	4.84011	+	4.24842i	0.275344	+	0.241684i
$310$	−3.26508	+	5.65529i	−0.185444	+	0.321199i
$311$	−6.20859	+	10.7536i	−0.352057	+	0.609780i	−0.986610	−	0.163099i	$-0.947851\pi$
$311$	−6.20859	+	10.7536i	−0.352057	+	0.609780i	0.634553	+	0.772879i	$0.281184\pi$
$312$	5.04435	+	4.42769i	0.285580	+	0.250668i
$313$	−2.67430	−	4.63202i	−0.151160	−	0.261817i	0.780494	−	0.625163i	$-0.214968\pi$
$313$	−2.67430	−	4.63202i	−0.151160	−	0.261817i	−0.931654	+	0.363346i	$0.881634\pi$
$314$	6.21131			0.350525
$315$	14.5403	+	6.03775i	0.819256	+	0.340189i
$316$	−15.5817			−0.876538
$317$	9.77995	+	16.9394i	0.549297	+	0.951410i	0.998323	+	0.0578914i	$0.0184377\pi$
$317$	9.77995	+	16.9394i	0.549297	+	0.951410i	−0.449026	+	0.893519i	$0.648229\pi$
$318$	3.05444	−	1.03535i	0.171284	−	0.0580594i
$319$	3.10221	−	5.37318i	0.173690	−	0.300841i
$320$	1.68956	−	2.92640i	0.0944491	−	0.163591i
$321$	−1.83069	+	9.18248i	−0.102179	+	0.512516i
$322$	1.67669	+	2.90411i	0.0934383	+	0.161840i
$323$	−17.0356			−0.947888
$324$	14.6428	−	3.89601i	0.813486	−	0.216445i
$325$	1.93726			0.107460
$326$	3.79016	+	6.56476i	0.209918	+	0.363588i
$327$	−3.38178	+	16.9625i	−0.187013	+	0.938028i
$328$	6.50422	−	11.2656i	0.359135	−	0.622041i
$329$	−8.17133	+	14.1532i	−0.450500	+	0.780288i
$330$	−2.53672	+	0.859861i	−0.139642	+	0.0473338i
$331$	−3.95998	−	6.85888i	−0.217660	−	0.376998i	0.736432	−	0.676511i	$-0.236509\pi$
$331$	−3.95998	−	6.85888i	−0.217660	−	0.376998i	−0.954092	+	0.299513i	$0.903176\pi$
$332$	25.0569			1.37517
$333$	18.1397	+	7.53234i	0.994048	+	0.412769i
$334$	−6.13901			−0.335912
$335$	1.22840	+	2.12765i	0.0671147	+	0.116246i
$336$	6.12183	+	5.37345i	0.333973	+	0.293146i
$337$	−8.32231	+	14.4147i	−0.453345	+	0.785217i	−0.998591	−	0.0530590i	$-0.983103\pi$
$337$	−8.32231	+	14.4147i	−0.453345	+	0.785217i	0.545246	+	0.838276i	$0.316436\pi$
$338$	2.67263	−	4.62913i	0.145372	−	0.251792i
$339$	22.4178	+	19.6773i	1.21757	+	1.06872i
$340$	−13.1953	−	22.8549i	−0.715615	−	1.23948i
$341$	−5.28746			−0.286332
$342$	0.584201	+	4.46772i	0.0315900	+	0.241586i
$343$	20.1585			1.08846
$344$	−3.18047	−	5.50873i	−0.171479	−	0.297011i
$345$	11.2470	−	3.81234i	0.605517	−	0.205249i
$346$	−4.17718	+	7.23508i	−0.224566	+	0.388960i
$347$	−2.31443	+	4.00872i	−0.124245	+	0.215199i	−0.921438	−	0.388526i	$-0.872984\pi$
$347$	−2.31443	+	4.00872i	−0.124245	+	0.215199i	0.797192	+	0.603725i	$0.206318\pi$
$348$	3.16126	−	15.8564i	0.169461	−	0.849993i
$349$	−8.18183	−	14.1713i	−0.437963	−	0.758575i	0.559569	−	0.828784i	$-0.310967\pi$
$349$	−8.18183	−	14.1713i	−0.437963	−	0.758575i	−0.997532	+	0.0702092i	$0.977633\pi$
$350$	−1.24470			−0.0665320
$351$	4.28657	+	8.72120i	0.228800	+	0.465503i
$352$	−6.02302			−0.321028
$353$	4.64381	+	8.04332i	0.247165	+	0.428103i	0.962738	−	0.270435i	$-0.0871676\pi$
$353$	4.64381	+	8.04332i	0.247165	+	0.428103i	−0.715573	+	0.698538i	$0.753834\pi$
$354$	−0.0937299	+	0.470135i	−0.00498169	+	0.0249874i
$355$	8.66831	−	15.0140i	0.460066	−	0.796858i
$356$	10.0366	−	17.3839i	0.531938	−	0.921343i
$357$	22.3571	−	7.57829i	1.18326	−	0.401085i
$358$	0.252185	+	0.436797i	0.0133284	+	0.0230854i
$359$	5.10321			0.269337			0.134669	−	0.990891i	$-0.457003\pi$
$359$	5.10321			0.269337			0.134669	+	0.990891i	$0.457003\pi$
$360$	−12.1242	+	9.28635i	−0.639002	+	0.489434i
$361$	−11.8711			−0.624793
$362$	−1.95338	−	3.38335i	−0.102667	−	0.177825i
$363$	12.6890	+	11.1378i	0.666001	+	0.584584i
$364$	−3.36288	+	5.82469i	−0.176263	+	0.305297i
$365$	14.1944	−	24.5854i	0.742969	−	1.28686i
$366$	4.66873	+	4.09799i	0.244038	+	0.214205i
$367$	−2.75504	−	4.77188i	−0.143812	−	0.249090i	0.785117	−	0.619347i	$-0.212603\pi$
$367$	−2.75504	−	4.77188i	−0.143812	−	0.249090i	−0.928929	+	0.370258i	$0.879269\pi$
$368$	6.14411			0.320284
$369$	14.9521	−	11.4523i	0.778374	−	0.596184i
$370$	−9.04803			−0.470385
$371$	3.53550	+	6.12366i	0.183554	+	0.317925i
$372$	−13.0496	+	4.42336i	−0.676590	+	0.229341i
$373$	−12.7231	+	22.0371i	−0.658779	+	1.14104i	0.322152	+	0.946688i	$0.395594\pi$
$373$	−12.7231	+	22.0371i	−0.658779	+	1.14104i	−0.980932	+	0.194352i	$0.937740\pi$
$374$	−2.00806	+	3.47805i	−0.103834	+	0.179846i
$375$	3.29815	−	16.5430i	0.170316	−	0.854278i
$376$	−7.92628	−	13.7287i	−0.408767	−	0.708005i
$377$	10.3695			0.534056
$378$	−2.75415	−	5.60343i	−0.141658	−	0.288209i
$379$	−13.5887			−0.698006			−0.349003	−	0.937122i	$-0.613480\pi$
$379$	−13.5887			−0.698006			−0.349003	+	0.937122i	$0.613480\pi$
$380$	5.52186	+	9.56414i	0.283265	+	0.490630i
$381$	−3.17820	+	15.9414i	−0.162824	+	0.816702i
$382$	−1.84472	+	3.19515i	−0.0943841	+	0.163478i
$383$	2.88503	−	4.99702i	0.147418	−	0.255336i	−0.782854	−	0.622205i	$-0.786237\pi$
$383$	2.88503	−	4.99702i	0.147418	−	0.255336i	0.930273	+	0.366869i	$0.119570\pi$
$384$	−18.9280	+	6.41592i	−0.965913	+	0.327411i
$385$	−2.93624	−	5.08572i	−0.149645	−	0.259192i
$386$	5.11997			0.260600
$387$	−1.19408	−	9.13182i	−0.0606987	−	0.464197i
$388$	27.7889			1.41077
$389$	−2.38967	−	4.13904i	−0.121161	−	0.209858i	0.799065	−	0.601245i	$-0.205328\pi$
$389$	−2.38967	−	4.13904i	−0.121161	−	0.209858i	−0.920226	+	0.391388i	$0.871995\pi$
$390$	−3.36438	−	2.95309i	−0.170362	−	0.149536i
$391$	8.90306	−	15.4205i	0.450247	−	0.779851i
$392$	−2.52479	+	4.37306i	−0.127521	+	0.220873i
$393$	15.5982	+	13.6914i	0.786827	+	0.690639i
$394$	4.48914	+	7.77542i	0.226160	+	0.391720i
$395$	22.7379			1.14407
$396$	−5.21961	−	2.16740i	−0.262295	−	0.108916i
$397$	−17.3861			−0.872586			−0.436293	−	0.899805i	$-0.643709\pi$
$397$	−17.3861			−0.872586			−0.436293	+	0.899805i	$0.643709\pi$
$398$	−4.53531	−	7.85539i	−0.227335	−	0.393755i
$399$	−9.35581	+	3.17130i	−0.468376	+	0.158763i
$400$	−1.14028	+	1.97502i	−0.0570139	+	0.0987509i
$401$	8.64940	−	14.9812i	0.431930	−	0.748125i	−0.565109	−	0.825016i	$-0.691166\pi$
$401$	8.64940	−	14.9812i	0.431930	−	0.748125i	0.997040	+	0.0768908i	$0.0244993\pi$
$402$	0.190496	−	0.955499i	0.00950108	−	0.0476560i
$403$	−4.41849	−	7.65304i	−0.220100	−	0.381225i
$404$	10.1307			0.504023
$405$	−21.3678	+	5.68534i	−1.06177	+	0.282507i
$406$	−6.66247			−0.330653
$407$	−3.66308	−	6.34464i	−0.181572	−	0.314492i
$408$	−4.47715	+	22.4567i	−0.221652	+	1.11177i
$409$	3.05930	−	5.29886i	0.151273	−	0.262012i	−0.780423	−	0.625252i	$-0.784996\pi$
$409$	3.05930	−	5.29886i	0.151273	−	0.262012i	0.931696	+	0.363240i	$0.118330\pi$
$410$	−4.33805	+	7.51373i	−0.214241	+	0.371077i
$411$	−22.8801	+	7.75556i	−1.12859	+	0.382554i
$412$	−3.12996	−	5.42126i	−0.154202	−	0.267086i
$413$	−1.05104			−0.0517182
$414$	−4.34946	−	1.80607i	−0.213764	−	0.0887637i
$415$	−36.5648			−1.79490
$416$	−5.03316	−	8.71770i	−0.246771	−	0.427420i
$417$	18.1206	+	15.9054i	0.887368	+	0.778889i
$418$	0.840314	−	1.45547i	0.0411011	−	0.0711892i
$419$	−13.6753	+	23.6863i	−0.668081	+	1.15715i	0.310359	+	0.950619i	$0.399551\pi$
$419$	−13.6753	+	23.6863i	−0.668081	+	1.15715i	−0.978440	+	0.206531i	$0.933783\pi$
$420$	−11.5013	−	10.0953i	−0.561208	−	0.492601i
$421$	−9.28442	−	16.0811i	−0.452495	−	0.783745i	0.546045	−	0.837756i	$-0.316133\pi$
$421$	−9.28442	−	16.0811i	−0.452495	−	0.783745i	−0.998540	+	0.0540112i	$0.982799\pi$
$422$	15.2322			0.741493
$423$	−2.97586	−	22.7581i	−0.144691	−	1.10654i
$424$	−6.85895			−0.333100
$425$	3.30461	+	5.72376i	0.160297	+	0.277643i
$426$	−6.51136	+	2.20712i	−0.315476	+	0.106936i
$427$	−6.80992	+	11.7951i	−0.329555	+	0.570807i
$428$	4.55058	−	7.88183i	0.219960	−	0.380983i
$429$	0.708697	−	3.55472i	0.0342162	−	0.171623i
$430$	2.12125	+	3.67411i	0.102296	+	0.177181i
$431$	−1.75630			−0.0845979			−0.0422990	−	0.999105i	$-0.513468\pi$
$431$	−1.75630			−0.0845979			−0.0422990	+	0.999105i	$0.513468\pi$
$432$	−11.4143	−	0.763210i	−0.549171	−	0.0367200i
$433$	10.1458			0.487577			0.243788	−	0.969828i	$-0.421610\pi$
$433$	10.1458			0.487577			0.243788	+	0.969828i	$0.421610\pi$
$434$	2.83891	+	4.91713i	0.136272	+	0.236030i
$435$	−4.61315	+	23.1388i	−0.221184	+	1.10942i
$436$	8.40613	−	14.5598i	0.402581	−	0.697290i
$437$	−3.72568	+	6.45306i	−0.178223	+	0.308692i
$438$	−10.6624	+	3.61418i	−0.509468	+	0.172692i
$439$	−11.2533	−	19.4912i	−0.537089	−	0.930266i	−0.999059	−	0.0433700i	$-0.986191\pi$
$439$	−11.2533	−	19.4912i	−0.537089	−	0.930266i	0.461970	−	0.886896i	$-0.347143\pi$
$440$	5.69638			0.271564
$441$	−5.80405	+	4.44553i	−0.276383	+	0.211692i
$442$	−6.71216			−0.319265
$443$	−12.9755	−	22.4743i	−0.616485	−	1.06778i	−0.990122	−	0.140209i	$-0.955223\pi$
$443$	−12.9755	−	22.4743i	−0.616485	−	1.06778i	0.373637	−	0.927575i	$-0.378111\pi$
$444$	−14.3484	−	12.5943i	−0.680944	−	0.597700i
$445$	−14.6461	+	25.3678i	−0.694293	+	1.20255i
$446$	5.65772	−	9.79945i	0.267901	−	0.464018i
$447$	4.64466	+	4.07686i	0.219685	+	0.192829i
$448$	−1.46902	−	2.54443i	−0.0694049	−	0.120213i
$449$	21.4365			1.01165			0.505826	−	0.862635i	$-0.331188\pi$
$449$	21.4365			1.01165			0.505826	+	0.862635i	$0.331188\pi$
$450$	1.38777	−	1.06294i	0.0654202	−	0.0501076i
$451$	−7.02502			−0.330795
$452$	−14.4970	−	25.1095i	−0.681880	−	1.18105i
$453$	15.2298	−	5.16238i	0.715559	−	0.242550i
$454$	−0.454873	+	0.787863i	−0.0213483	+	0.0369763i
$455$	4.90737	−	8.49981i	0.230061	−	0.398477i
$456$	1.87356	−	9.39750i	0.0877376	−	0.440078i
$457$	−6.16787	−	10.6831i	−0.288521	−	0.499733i	0.684936	−	0.728603i	$-0.259830\pi$
$457$	−6.16787	−	10.6831i	−0.288521	−	0.499733i	−0.973457	+	0.228870i	$0.926497\pi$
$458$	9.34392			0.436613
$459$	−18.4553	+	27.5418i	−0.861418	+	1.28554i
$460$	−11.5432			−0.538204
$461$	0.438637	+	0.759742i	0.0204294	+	0.0353847i	0.876059	−	0.482203i	$-0.160163\pi$
$461$	0.438637	+	0.759742i	0.0204294	+	0.0353847i	−0.855630	+	0.517588i	$0.826830\pi$
$462$	−0.455343	+	2.28393i	−0.0211845	+	0.106258i
$463$	0.411500	−	0.712739i	0.0191240	−	0.0331238i	−0.856305	−	0.516470i	$-0.827246\pi$
$463$	0.411500	−	0.712739i	0.0191240	−	0.0331238i	0.875429	+	0.483347i	$0.160579\pi$
$464$	−6.10353	+	10.5716i	−0.283349	+	0.490776i
$465$	19.0429	−	6.45490i	0.883095	−	0.299339i
$466$	−4.47908	−	7.75800i	−0.207489	−	0.359382i
$467$	−12.7029			−0.587819			−0.293910	−	0.955833i	$-0.594956\pi$
$467$	−12.7029			−0.587819			−0.293910	+	0.955833i	$0.594956\pi$
$468$	−1.22471	−	9.36603i	−0.0566121	−	0.432945i
$469$	2.13612			0.0986370
$470$	5.28652	+	9.15652i	0.243849	+	0.422359i
$471$	−14.3737	−	12.6166i	−0.662305	−	0.581340i
$472$	0.509760	−	0.882930i	0.0234636	−	0.0406402i
$473$	−1.71757	+	2.97491i	−0.0789738	+	0.136787i
$474$	−6.77694	−	5.94848i	−0.311275	−	0.273223i
$475$	−1.38289	−	2.39523i	−0.0634512	−	0.109901i
$476$	−22.9459			−1.05172
$477$	−9.17134	−	3.80832i	−0.419927	−	0.174371i
$478$	10.3641			0.474041
$479$	10.7001	+	18.5330i	0.488898	+	0.846797i	0.999918	−	0.0127721i	$-0.00406561\pi$
$479$	10.7001	+	18.5330i	0.488898	+	0.846797i	−0.511020	+	0.859569i	$0.670732\pi$
$480$	21.6921	−	7.35287i	0.990104	−	0.335611i
$481$	6.12214	−	10.6039i	0.279145	−	0.483494i
$482$	6.54851	−	11.3424i	0.298276	−	0.516630i
$483$	2.01884	−	10.1262i	0.0918604	−	0.460757i
$484$	−8.20564	−	14.2126i	−0.372984	−	0.646027i
$485$	−40.5516			−1.84135
$486$	7.85592	+	3.89554i	0.356352	+	0.176705i
$487$	18.1225			0.821211			0.410605	−	0.911813i	$-0.365317\pi$
$487$	18.1225			0.821211			0.410605	+	0.911813i	$0.365317\pi$
$488$	−6.60571	−	11.4414i	−0.299026	−	0.517929i
$489$	4.56359	−	22.8903i	0.206373	−	1.03513i
$490$	1.68393	−	2.91666i	0.0760724	−	0.131761i
$491$	20.3175	−	35.1909i	0.916914	−	1.58814i	0.112840	−	0.993613i	$-0.464005\pi$
$491$	20.3175	−	35.1909i	0.916914	−	1.58814i	0.804074	−	0.594529i	$-0.202662\pi$
$492$	−17.3380	+	5.87697i	−0.781655	+	0.264954i
$493$	17.6885	+	30.6374i	0.796650	+	1.37984i
$494$	2.80885			0.126376
$495$	7.61683	+	3.16282i	0.342351	+	0.142158i
$496$	10.4030			0.467107
$497$	−7.53687	−	13.0542i	−0.338075	−	0.585563i
$498$	10.8980	+	9.56573i	0.488350	+	0.428650i
$499$	0.629749	−	1.09076i	0.0281914	−	0.0488290i	−0.851585	−	0.524216i	$-0.824359\pi$
$499$	0.629749	−	1.09076i	0.0281914	−	0.0488290i	0.879777	+	0.475387i	$0.157692\pi$
$500$	−8.19825	+	14.1998i	−0.366637	+	0.635034i
$501$	14.2064	+	12.4697i	0.634695	+	0.557105i
$502$	1.40106	+	2.42671i	0.0625324	+	0.108309i
$503$	−11.4390			−0.510040			−0.255020	−	0.966936i	$-0.582082\pi$
$503$	−11.4390			−0.510040			−0.255020	+	0.966936i	$0.582082\pi$
$504$	1.72166	+	13.1665i	0.0766887	+	0.586481i
$505$	−14.7835			−0.657858
$506$	0.878320	+	1.52129i	0.0390461	+	0.0676298i
$507$	−15.5876	+	5.28365i	−0.692268	+	0.234655i
$508$	7.90010	−	13.6834i	0.350510	−	0.607101i
$509$	15.1386	−	26.2208i	0.671005	−	1.16222i	−0.306614	−	0.951834i	$-0.599196\pi$
$509$	15.1386	−	26.2208i	0.671005	−	1.16222i	0.977619	−	0.210382i	$-0.0674706\pi$
$510$	2.98608	−	14.9777i	0.132226	−	0.663225i
$511$	−12.3417	−	21.3764i	−0.545963	−	0.945636i
$512$	20.9738			0.926922
$513$	7.72301	−	11.5255i	0.340979	−	0.508861i
$514$	−12.2833			−0.541791
$515$	4.56748	+	7.91110i	0.201267	+	0.348605i
$516$	−1.75026	+	8.77905i	−0.0770510	+	0.386476i
$517$	−4.28048	+	7.41400i	−0.188255	+	0.326068i
$518$	−3.93351	+	6.81304i	−0.172829	+	0.299348i
$519$	24.3625	−	8.25805i	1.06940	−	0.362488i
$520$	4.76021	+	8.24492i	0.208749	+	0.361564i
$521$	−12.1428			−0.531987			−0.265994	−	0.963975i	$-0.585700\pi$
$521$	−12.1428			−0.531987			−0.265994	+	0.963975i	$0.585700\pi$
$522$	7.42829	−	5.68958i	0.325127	−	0.249026i
$523$	6.38979			0.279406			0.139703	−	0.990193i	$-0.455385\pi$
$523$	6.38979			0.279406			0.139703	+	0.990193i	$0.455385\pi$
$524$	−10.0869	−	17.4711i	−0.440650	−	0.763229i
$525$	2.88038	+	2.52826i	0.125710	+	0.110342i
$526$	2.67944	−	4.64092i	0.116829	−	0.202354i
$527$	15.0743	−	26.1094i	0.656647	−	1.13735i
$528$	3.20687	+	2.81484i	0.139561	+	0.122500i
$529$	7.60582	+	13.1737i	0.330688	+	0.572768i
$530$	4.57465			0.198710
$531$	1.17185	−	0.897561i	0.0508540	−	0.0389508i
$532$	9.60222			0.416309
$533$	−5.87049	−	10.1680i	−0.254279	−	0.440424i
$534$	11.0017	−	3.72919i	0.476090	−	0.161378i
$535$	−6.64054	+	11.5017i	−0.287095	+	0.497264i
$536$	−1.03603	+	1.79446i	−0.0447498	+	0.0775089i
$537$	0.303646	−	1.52304i	0.0131033	−	0.0657241i
$538$	4.69028	+	8.12380i	0.202212	+	0.350242i
$539$	2.72695			0.117458
$540$	21.4445	+	1.43387i	0.922825	+	0.0617041i
$541$	17.5379			0.754014			0.377007	−	0.926210i	$-0.376953\pi$
$541$	17.5379			0.754014			0.377007	+	0.926210i	$0.376953\pi$
$542$	6.58444	+	11.4046i	0.282826	+	0.489869i
$543$	−2.35199	+	11.7972i	−0.100934	+	0.506267i
$544$	17.1714	−	29.7417i	0.736216	−	1.27516i
$545$	−12.2668	+	21.2468i	−0.525454	+	0.910113i
$546$	−3.68626	+	1.24951i	−0.157757	+	0.0534742i
$547$	−2.88797	−	5.00211i	−0.123481	−	0.213875i	0.797657	−	0.603111i	$-0.206072\pi$
$547$	−2.88797	−	5.00211i	−0.123481	−	0.213875i	−0.921138	+	0.389236i	$0.872739\pi$
$548$	23.4827			1.00313
$549$	−2.48006	−	18.9664i	−0.105847	−	0.809468i
$550$	−0.652025			−0.0278024
$551$	−7.40214	−	12.8209i	−0.315342	−	0.546188i
$552$	7.52741	+	6.60720i	0.320388	+	0.281221i
$553$	9.88502	−	17.1214i	0.420354	−	0.728074i
$554$	6.51536	−	11.2849i	0.276811	−	0.479451i
$555$	20.9382	+	18.3786i	0.888777	+	0.780126i
$556$	−11.7181	−	20.2963i	−0.496957	−	0.860754i
$557$	−9.78593			−0.414643			−0.207322	−	0.978273i	$-0.566475\pi$
$557$	−9.78593			−0.414643			−0.207322	+	0.978273i	$0.566475\pi$
$558$	−7.36433	−	3.05797i	−0.311757	−	0.129454i
$559$	−5.74117			−0.242826
$560$	5.77700	+	10.0061i	0.244123	+	0.422833i
$561$	11.7116	−	3.96982i	0.494463	−	0.167606i
$562$	4.43777	−	7.68644i	0.187196	−	0.324233i
$563$	16.2072	−	28.0717i	0.683051	−	1.18308i	−0.290993	−	0.956725i	$-0.593986\pi$
$563$	16.2072	−	28.0717i	0.683051	−	1.18308i	0.974045	−	0.226355i	$-0.0726809\pi$
$564$	−4.36196	+	21.8789i	−0.183672	+	0.921269i
$565$	21.1551	+	36.6416i	0.890000	+	1.54152i
$566$	−6.32666			−0.265929
$567$	−5.00838	+	18.5613i	−0.210332	+	0.779500i
$568$	14.6217			0.613513
$569$	−0.0957783	−	0.165893i	−0.00401524	−	0.00695459i	0.864011	−	0.503473i	$-0.167945\pi$
$569$	−0.0957783	−	0.165893i	−0.00401524	−	0.00695459i	−0.868026	+	0.496519i	$0.834611\pi$
$570$	−1.24959	+	6.26776i	−0.0523396	+	0.262528i
$571$	−22.7648	+	39.4299i	−0.952679	+	1.65009i	−0.213086	+	0.977033i	$0.568351\pi$
$571$	−22.7648	+	39.4299i	−0.952679	+	1.65009i	−0.739593	+	0.673055i	$0.764982\pi$
$572$	−1.76162	+	3.05121i	−0.0736569	+	0.127578i
$573$	10.7590	−	3.64691i	0.449462	−	0.152352i
$574$	3.77182	+	6.53299i	0.157433	+	0.272682i
$575$	2.89086			0.120557
$576$	3.81076	+	1.58238i	0.158782	+	0.0659326i
$577$	22.5032			0.936820			0.468410	−	0.883511i	$-0.344827\pi$
$577$	22.5032			0.936820			0.468410	+	0.883511i	$0.344827\pi$
$578$	−6.66837	−	11.5500i	−0.277368	−	0.480415i
$579$	−11.8482	−	10.3998i	−0.492395	−	0.432201i
$580$	11.4670	−	19.8614i	0.476139	−	0.824698i
$581$	−15.8961	+	27.5328i	−0.659480	+	1.14225i
$582$	12.0862	+	10.6087i	0.500991	+	0.439746i
$583$	1.85204	+	3.20783i	0.0767036	+	0.132855i
$584$	23.9431			0.990774
$585$	1.78718	+	13.6676i	0.0738910	+	0.565086i
$586$	−5.79999			−0.239595
$587$	−19.2910	−	33.4130i	−0.796224	−	1.37910i	−0.922059	−	0.387049i	$-0.873494\pi$
$587$	−19.2910	−	33.4130i	−0.796224	−	1.37910i	0.125835	−	0.992051i	$-0.459839\pi$
$588$	6.73020	−	2.28130i	0.277549	−	0.0940794i
$589$	−6.30817	+	10.9261i	−0.259923	+	0.450201i
$590$	−0.339990	+	0.588879i	−0.0139972	+	0.0242438i
$591$	5.40520	−	27.1117i	0.222340	−	1.11523i
$592$	7.20704	+	12.4830i	0.296207	+	0.513046i
$593$	−15.0267			−0.617074			−0.308537	−	0.951212i	$-0.599839\pi$
$593$	−15.0267			−0.617074			−0.308537	+	0.951212i	$0.599839\pi$
$594$	−1.44274	−	2.93531i	−0.0591962	−	0.120437i
$595$	33.4844			1.37273
$596$	−3.00357	−	5.20234i	−0.123031	−	0.213096i
$597$	−5.46080	+	27.3905i	−0.223496	+	1.12102i
$598$	−1.46794	+	2.54255i	−0.0600287	+	0.103973i
$599$	−2.53474	+	4.39030i	−0.103567	+	0.179383i	−0.913152	−	0.407620i	$-0.866359\pi$
$599$	−2.53474	+	4.39030i	−0.103567	+	0.179383i	0.809585	+	0.587003i	$0.199692\pi$
$600$	−3.52088	+	1.19346i	−0.143739	+	0.0487226i
$601$	2.88778	+	5.00178i	0.117795	+	0.204027i	0.918894	−	0.394505i	$-0.129084\pi$
$601$	2.88778	+	5.00178i	0.117795	+	0.204027i	−0.801099	+	0.598532i	$0.795751\pi$
$602$	3.68874			0.150342
$603$	−2.38166	+	1.82420i	−0.0969887	+	0.0742870i
$604$	−15.6309			−0.636014
$605$	11.9743	+	20.7401i	0.486824	+	0.843203i
$606$	4.40616	+	3.86752i	0.178988	+	0.157107i
$607$	15.8598	−	27.4700i	0.643731	−	1.11497i	−0.340862	−	0.940113i	$-0.610719\pi$
$607$	15.8598	−	27.4700i	0.643731	−	1.11497i	0.984593	−	0.174861i	$-0.0559477\pi$
$608$	−7.18573	+	12.4460i	−0.291420	+	0.504754i
$609$	15.4177	+	13.5329i	0.624758	+	0.548383i
$610$	4.40575	+	7.63098i	0.178383	+	0.308969i
$611$	−14.3080			−0.578839
$612$	25.5834	−	19.5953i	1.03415	−	0.792091i
$613$	−16.5146			−0.667017			−0.333508	−	0.942747i	$-0.608233\pi$
$613$	−16.5146			−0.667017			−0.333508	+	0.942747i	$0.608233\pi$
$614$	8.32910	+	14.4264i	0.336135	+	0.582203i
$615$	25.3008	−	8.57610i	1.02023	−	0.345822i
$616$	2.47643	−	4.28930i	0.0997781	−	0.172821i
$617$	18.3434	−	31.7717i	0.738478	−	1.27908i	−0.214703	−	0.976679i	$-0.568878\pi$
$617$	18.3434	−	31.7717i	0.738478	−	1.27908i	0.953181	−	0.302402i	$-0.0977884\pi$
$618$	0.708308	−	3.55277i	0.0284923	−	0.142913i
$619$	23.1796	+	40.1483i	0.931668	+	1.61370i	0.780471	+	0.625193i	$0.214980\pi$
$619$	23.1796	+	40.1483i	0.931668	+	1.61370i	0.151197	+	0.988504i	$0.451687\pi$
$620$	−19.5445			−0.784925
$621$	6.39662	+	13.0142i	0.256688	+	0.522241i
$622$	6.98484			0.280067
$623$	12.7344	+	22.0567i	0.510194	+	0.883681i
$624$	−1.39435	+	6.99383i	−0.0558186	+	0.279977i
$625$	14.5532	−	25.2068i	0.582126	−	1.00827i
$626$	−1.50433	+	2.60558i	−0.0601251	+	0.104140i
$627$	−4.90096	+	1.66126i	−0.195726	+	0.0663442i
$628$	9.29508	+	16.0995i	0.370914	+	0.642442i
$629$	41.7731			1.66560
$630$	−1.14828	−	8.78152i	−0.0457485	−	0.349864i
$631$	−2.83017			−0.112667			−0.0563337	−	0.998412i	$-0.517941\pi$
$631$	−2.83017			−0.112667			−0.0563337	+	0.998412i	$0.517941\pi$
$632$	9.58859	+	16.6079i	0.381414	+	0.660628i
$633$	−35.2491	−	30.9400i	−1.40103	−	1.22975i
$634$	5.50136	−	9.52864i	0.218487	−	0.378431i
$635$	−11.5284	+	19.9678i	−0.457491	+	0.792397i
$636$	7.25448	+	6.36764i	0.287659	+	0.252493i
$637$	2.27879	+	3.94698i	0.0902889	+	0.156385i
$638$	−3.49008			−0.138173
$639$	19.5512	+	8.11846i	0.773433	+	0.321161i
$640$	−28.3485			−1.12057
$641$	−1.60705	−	2.78350i	−0.0634747	−	0.109941i	0.832542	−	0.553962i	$-0.186885\pi$
$641$	−1.60705	−	2.78350i	−0.0634747	−	0.109941i	−0.896016	+	0.444021i	$0.853552\pi$
$642$	4.98816	−	1.69081i	0.196867	−	0.0667311i
$643$	15.9813	−	27.6804i	0.630241	−	1.09161i	−0.357262	−	0.934004i	$-0.616290\pi$
$643$	15.9813	−	27.6804i	0.630241	−	1.09161i	0.987502	−	0.157604i	$-0.0503771\pi$
$644$	−5.01825	+	8.69187i	−0.197747	+	0.342508i
$645$	2.55411	−	12.8110i	0.100568	−	0.504434i
$646$	4.79139	+	8.29894i	0.188515	+	0.326517i
$647$	49.1444			1.93207			0.966033	−	0.258418i	$-0.0832013\pi$
$647$	49.1444			1.93207			0.966033	+	0.258418i	$0.0832013\pi$
$648$	−13.1634	−	13.2096i	−0.517107	−	0.518924i
$649$	−0.550577			−0.0216120
$650$	−0.544867	−	0.943737i	−0.0213714	−	0.0370164i
$651$	3.41822	−	17.1453i	0.133970	−	0.671975i
$652$	−11.3438	+	19.6480i	−0.444256	+	0.769475i
$653$	7.94438	−	13.7601i	0.310888	−	0.538473i	−0.667667	−	0.744460i	$-0.732707\pi$
$653$	7.94438	−	13.7601i	0.310888	−	0.538473i	0.978555	+	0.205987i	$0.0660404\pi$
$654$	9.21446	−	3.12338i	0.360314	−	0.122134i
$655$	14.7196	+	25.4951i	0.575143	+	0.996177i
$656$	13.8216			0.539642
$657$	32.0152	+	13.2940i	1.24903	+	0.518649i
$658$	9.19298			0.358380
$659$	−5.42157	−	9.39043i	−0.211194	−	0.365799i	0.740894	−	0.671622i	$-0.234402\pi$
$659$	−5.42157	−	9.39043i	−0.211194	−	0.365799i	−0.952089	+	0.305822i	$0.901069\pi$
$660$	−6.02487	−	5.28835i	−0.234518	−	0.205849i
$661$	−21.5263	+	37.2847i	−0.837277	+	1.45021i	0.0548856	+	0.998493i	$0.482521\pi$
$661$	−21.5263	+	37.2847i	−0.837277	+	1.45021i	−0.892163	+	0.451714i	$0.850813\pi$
$662$	−2.22754	+	3.85822i	−0.0865759	+	0.149954i
$663$	15.5327	+	13.6339i	0.603241	+	0.529496i
$664$	−15.4194	−	26.7071i	−0.598388	−	1.03644i
$665$	−14.0123			−0.543372
$666$	−1.43252	−	10.9553i	−0.0555091	−	0.424509i
$667$	15.4738			0.599150
$668$	−9.18688	−	15.9121i	−0.355451	−	0.615659i
$669$	−32.9975	+	11.1850i	−1.27576	+	0.432437i
$670$	0.690993	−	1.19683i	0.0266954	−	0.0462378i
$671$	−3.56732	+	6.17878i	−0.137715	+	0.238529i
$672$	3.89374	−	19.5304i	0.150204	−	0.753402i
$673$	6.27001	+	10.8600i	0.241691	+	0.418621i	0.961196	−	0.275866i	$-0.0889646\pi$
$673$	6.27001	+	10.8600i	0.241691	+	0.418621i	−0.719505	+	0.694487i	$0.755631\pi$
$674$	9.36284			0.360643
$675$	−5.37054	−	0.359097i	−0.206712	−	0.0138217i
$676$	15.9981			0.615311
$677$	3.78291	+	6.55218i	0.145389	+	0.251821i	0.929518	−	0.368777i	$-0.120223\pi$
$677$	3.78291	+	6.55218i	0.145389	+	0.251821i	−0.784129	+	0.620598i	$0.786890\pi$
$678$	3.28065	−	16.4552i	0.125993	−	0.631960i
$679$	−17.6293	+	30.5348i	−0.676550	+	1.17182i
$680$	−16.2401	+	28.1287i	−0.622780	+	1.07869i
$681$	2.65295	−	0.899260i	0.101661	−	0.0344597i
$682$	1.48714	+	2.57579i	0.0569454	+	0.0986323i
$683$	−5.40612			−0.206859			−0.103430	−	0.994637i	$-0.532982\pi$
$683$	−5.40612			−0.206859			−0.103430	+	0.994637i	$0.532982\pi$
$684$	−10.7059	+	8.20006i	−0.409352	+	0.313537i
$685$	−34.2677			−1.30930
$686$	−5.66974	−	9.82027i	−0.216472	−	0.374940i
$687$	−21.6229	−	18.9796i	−0.824966	−	0.724116i
$688$	3.37928	−	5.85308i	0.128834	−	0.223147i
$689$	−3.09533	+	5.36127i	−0.117923	+	0.204248i
$690$	−5.02048	−	4.40674i	−0.191126	−	0.167762i
$691$	−19.5625	−	33.8832i	−0.744191	−	1.28898i	−0.950572	−	0.310505i	$-0.899502\pi$
$691$	−19.5625	−	33.8832i	−0.744191	−	1.28898i	0.206381	−	0.978472i	$-0.433831\pi$
$692$	−25.0042			−0.950516
$693$	5.69288	−	4.36038i	0.216255	−	0.165637i
$694$	2.60380			0.0988390
$695$	17.0999	+	29.6178i	0.648635	+	1.12347i
$696$	−18.8461	+	6.38818i	−0.714360	+	0.242143i
$697$	20.0280	−	34.6895i	0.758615	−	1.31396i
$698$	−4.60240	+	7.97158i	−0.174203	+	0.301729i
$699$	−5.39309	+	27.0509i	−0.203985	+	1.02316i
$700$	−1.86266	−	3.22622i	−0.0704020	−	0.121940i
$701$	−40.9430			−1.54640			−0.773198	−	0.634164i	$-0.781344\pi$
$701$	−40.9430			−1.54640			−0.773198	+	0.634164i	$0.781344\pi$
$702$	3.04292	−	4.54111i	0.114848	−	0.171393i
$703$	−17.4809			−0.659303
$704$	−0.769536	−	1.33287i	−0.0290030	−	0.0502346i
$705$	6.36529	−	31.9273i	0.239731	−	1.20245i
$706$	2.61221	−	4.52448i	0.0983119	−	0.170281i
$707$	−6.42694	+	11.1318i	−0.241710	+	0.418654i
$708$	−1.35884	+	0.460600i	−0.0510684	+	0.0173104i
$709$	13.0531	+	22.6086i	0.490219	+	0.849084i	0.999937	−	0.0112574i	$-0.00358341\pi$
$709$	13.0531	+	22.6086i	0.490219	+	0.849084i	−0.509717	+	0.860342i	$0.670250\pi$
$710$	−9.75210			−0.365990
$711$	3.59996	+	27.5309i	0.135009	+	1.03249i
$712$	−24.7051			−0.925862
$713$	−6.59347	−	11.4202i	−0.246927	−	0.427691i
$714$	−9.97987	−	8.75985i	−0.373487	−	0.327829i
$715$	2.57068	−	4.45255i	0.0961381	−	0.166516i
$716$	−0.754776	+	1.30731i	−0.0282073	+	0.0488565i
$717$	−23.9837	−	21.0517i	−0.895686	−	0.786191i
$718$	−1.43532	−	2.48604i	−0.0535655	−	0.0927782i
$719$	10.7141			0.399568			0.199784	−	0.979840i	$-0.435976\pi$
$719$	10.7141			0.399568			0.199784	+	0.979840i	$0.435976\pi$
$720$	−14.9860	−	6.22279i	−0.558494	−	0.231910i
$721$	7.94260			0.295798
$722$	3.33882	+	5.78301i	0.124258	+	0.215221i
$723$	−38.1928	+	12.9461i	−1.42041	+	0.481469i
$724$	5.84637	−	10.1262i	0.217279	−	0.376338i
$725$	−2.87177	+	4.97405i	−0.106655	+	0.184732i
$726$	1.85693	−	9.31407i	0.0689171	−	0.345678i
$727$	−26.8395	−	46.4874i	−0.995423	−	1.72412i	−0.580476	−	0.814277i	$-0.697134\pi$
$727$	−26.8395	−	46.4874i	−0.995423	−	1.72412i	−0.414947	−	0.909846i	$-0.636200\pi$
$728$	8.27775			0.306794
$729$	−10.2668	−	24.9718i	−0.380252	−	0.924883i
$730$	−15.9691			−0.591044
$731$	−9.79341	−	16.9627i	−0.362222	−	0.627387i
$732$	−3.63523	+	18.2337i	−0.134362	+	0.673938i
$733$	−7.71940	+	13.3704i	−0.285123	+	0.493847i	−0.972639	−	0.232322i	$-0.925368\pi$
$733$	−7.71940	+	13.3704i	−0.285123	+	0.493847i	0.687516	+	0.726169i	$0.258701\pi$
$734$	−1.54975	+	2.68425i	−0.0572024	+	0.0990774i
$735$	−9.82120	+	3.32905i	−0.362260	+	0.122794i
$736$	−7.51072	−	13.0089i	−0.276849	−	0.479516i
$737$	1.11899			0.0412185
$738$	−9.78439	−	4.06288i	−0.360168	−	0.149557i
$739$	47.5282			1.74835			0.874176	−	0.485609i	$-0.161402\pi$
$739$	47.5282			1.74835			0.874176	+	0.485609i	$0.161402\pi$
$740$	−13.5402	−	23.4522i	−0.497746	−	0.862121i
$741$	−6.50000	−	5.70539i	−0.238784	−	0.209593i
$742$	1.98877	−	3.44465i	0.0730100	−	0.126457i
$743$	−19.2444	+	33.3324i	−0.706010	+	1.22285i	0.260316	+	0.965524i	$0.416173\pi$
$743$	−19.2444	+	33.3324i	−0.706010	+	1.22285i	−0.966326	+	0.257322i	$0.917160\pi$
$744$	12.7451	+	11.1870i	0.467258	+	0.410137i
$745$	4.38303	+	7.59164i	0.160582	+	0.278136i
$746$	14.3139			0.524069
$747$	−5.78909	−	44.2724i	−0.211812	−	1.61984i
$748$	−12.0200			−0.439495
$749$	5.77377	+	10.0005i	0.210969	+	0.365409i
$750$	−8.98659	+	3.04614i	−0.328144	+	0.111229i
$751$	−23.8206	+	41.2585i	−0.869227	+	1.50555i	−0.00643922	+	0.999979i	$0.502050\pi$
$751$	−23.8206	+	41.2585i	−0.869227	+	1.50555i	−0.862788	+	0.505566i	$0.831284\pi$
$752$	8.42175	−	14.5869i	0.307110	−	0.531929i
$753$	1.68696	−	8.46156i	0.0614764	−	0.308356i
$754$	−2.91650	−	5.05152i	−0.106212	−	0.183965i
$755$	22.8098			0.830134
$756$	10.4024	−	15.5241i	0.378332	−	0.564605i
$757$	52.0334			1.89119			0.945593	−	0.325352i	$-0.105483\pi$
$757$	52.0334			1.89119			0.945593	+	0.325352i	$0.105483\pi$
$758$	3.82193	+	6.61977i	0.138819	+	0.240441i
$759$	1.05755	−	5.30451i	0.0383867	−	0.192542i
$760$	6.79603	−	11.7711i	0.246518	−	0.426982i
$761$	−10.5615	+	18.2930i	−0.382853	+	0.663120i	−0.991469	−	0.130345i	$-0.958392\pi$
$761$	−10.5615	+	18.2930i	−0.382853	+	0.663120i	0.608616	+	0.793465i	$0.291725\pi$
$762$	8.65976	−	2.93536i	0.313710	−	0.106337i
$763$	10.6657	+	18.4735i	0.386124	+	0.668787i
$764$	−11.0423			−0.399497
$765$	−37.3332	+	28.5948i	−1.34979	+	1.03385i
$766$	−3.24574			−0.117273
$767$	−0.460092	−	0.796903i	−0.0166130	−	0.0287745i
$768$	4.86834	+	4.27320i	0.175671	+	0.154196i
$769$	21.8441	−	37.8351i	0.787718	−	1.36437i	−0.139645	−	0.990202i	$-0.544596\pi$
$769$	21.8441	−	37.8351i	0.787718	−	1.36437i	0.927362	−	0.374165i	$-0.122071\pi$
$770$	−1.65168	+	2.86079i	−0.0595224	+	0.103096i
$771$	28.4249	+	24.9500i	1.02370	+	0.898553i
$772$	7.66191	+	13.2708i	0.275758	+	0.477627i
$773$	−26.0191			−0.935841			−0.467920	−	0.883771i	$-0.654997\pi$
$773$	−26.0191			−0.935841			−0.467920	+	0.883771i	$0.654997\pi$
$774$	−4.11274	+	3.15009i	−0.147829	+	0.113228i
$775$	4.89469			0.175823
$776$	−17.1006	−	29.6192i	−0.613877	−	1.06327i
$777$	22.9414	−	7.77634i	0.823018	−	0.278975i
$778$	−1.34423	+	2.32827i	−0.0481928	+	0.0834724i
$779$	−8.38115	+	14.5166i	−0.300286	+	0.520110i
$780$	2.61962	−	13.1396i	0.0937973	−	0.470473i
$781$	−3.94812	−	6.83835i	−0.141275	−	0.244695i
$782$	−10.0162			−0.358178
$783$	−28.7467	−	1.92213i	−1.02732	−	0.0686914i
$784$	−5.36522			−0.191615
$785$	−13.5641	−	23.4936i	−0.484122	−	0.838524i
$786$	2.28267	−	11.4495i	0.0814200	−	0.408390i
$787$	−19.8654	+	34.4079i	−0.708124	+	1.22651i	0.257428	+	0.966298i	$0.417125\pi$
$787$	−19.8654	+	34.4079i	−0.708124	+	1.22651i	−0.965552	+	0.260210i	$0.916208\pi$
$788$	−13.4358	+	23.2714i	−0.478630	+	0.829011i
$789$	−15.6273	+	5.29711i	−0.556346	+	0.188582i
$790$	−6.39521	−	11.0768i	−0.227531	−	0.394096i
$791$	36.7875			1.30801
$792$	0.901875	+	6.89714i	0.0320467	+	0.245079i
$793$	−11.9242			−0.423440
$794$	4.88998	+	8.46969i	0.173539	+	0.300578i
$795$	−10.5863	−	9.29212i	−0.375456	−	0.329558i
$796$	13.5740	−	23.5108i	0.481116	−	0.833318i
$797$	−6.04242	+	10.4658i	−0.214033	+	0.370717i	−0.952973	−	0.303055i	$-0.901993\pi$
$797$	−6.04242	+	10.4658i	−0.214033	+	0.370717i	0.738940	+	0.673771i	$0.235327\pi$
$798$	4.17629	+	3.66575i	0.147839	+	0.129766i
$799$	−24.4069	−	42.2740i	−0.863453	−	1.49555i
$800$	5.57562			0.197128
$801$	−33.0340	−	13.7171i	−1.16720	−	0.484669i
$802$	−9.73082			−0.343607
$803$	−6.46507	−	11.1978i	−0.228148	−	0.395163i
$804$	2.76170	−	0.936120i	0.0973976	−	0.0330144i
$805$	7.32300	−	12.6838i	0.258102	−	0.447046i
$806$	−2.48546	+	4.30495i	−0.0875467	+	0.151635i
$807$	5.64739	−	28.3264i	0.198797	−	0.997138i
$808$	−6.23421	−	10.7980i	−0.219319	−	0.379871i
$809$	−45.4450			−1.59776			−0.798881	−	0.601489i	$-0.794574\pi$
$809$	−45.4450			−1.59776			−0.798881	+	0.601489i	$0.794574\pi$
$810$	8.77947	+	8.81031i	0.308479	+	0.309563i
$811$	−11.7892			−0.413976			−0.206988	−	0.978343i	$-0.566366\pi$
$811$	−11.7892			−0.413976			−0.206988	+	0.978343i	$0.566366\pi$
$812$	−9.97022	−	17.2689i	−0.349886	−	0.606020i
$813$	7.92808	−	39.7660i	0.278050	−	1.39466i
$814$	−2.06054	+	3.56895i	−0.0722218	+	0.125092i
$815$	16.5537	−	28.6718i	0.579850	−	1.00433i
$816$	−23.0423	+	7.81054i	−0.806641	+	0.273423i
$817$	4.09826	+	7.09840i	0.143380	+	0.248342i
$818$	−3.44180			−0.120340
$819$	11.0685	+	4.59608i	0.386764	+	0.160600i
$820$	−25.9672			−0.906813
$821$	0.770433	+	1.33443i	0.0268883	+	0.0465719i	0.879156	−	0.476533i	$-0.158107\pi$
$821$	0.770433	+	1.33443i	0.0268883	+	0.0465719i	−0.852268	+	0.523105i	$0.824773\pi$
$822$	10.2133	+	8.96477i	0.356231	+	0.312682i
$823$	−26.7745	+	46.3748i	−0.933300	+	1.61652i	−0.155664	+	0.987810i	$0.549752\pi$
$823$	−26.7745	+	46.3748i	−0.933300	+	1.61652i	−0.777637	+	0.628714i	$0.783582\pi$
$824$	−3.85221	+	6.67222i	−0.134198	+	0.232438i
$825$	1.50886	+	1.32441i	0.0525318	+	0.0461099i
$826$	0.295612	+	0.512015i	0.0102857	+	0.0178153i
$827$	13.6494			0.474635			0.237317	−	0.971432i	$-0.423732\pi$
$827$	13.6494			0.474635			0.237317	+	0.971432i	$0.423732\pi$
$828$	−1.82757	−	13.9764i	−0.0635123	−	0.485714i
$829$	37.4111			1.29934			0.649671	−	0.760215i	$-0.274907\pi$
$829$	37.4111			1.29934			0.649671	+	0.760215i	$0.274907\pi$
$830$	10.2841	+	17.8126i	0.356967	+	0.618285i
$831$	−37.9995	+	12.8805i	−1.31819	+	0.446820i
$832$	1.28613	−	2.22764i	0.0445886	−	0.0772297i
$833$	−7.77441	+	13.4657i	−0.269367	+	0.466558i
$834$	2.65179	−	13.3010i	0.0918239	−	0.460575i
$835$	13.4062	+	23.2202i	0.463940	+	0.803567i
$836$	5.03004			0.173967
$837$	10.8305	+	22.0351i	0.374357	+	0.761644i
$838$	15.3851			0.531469
$839$	27.7811	+	48.1183i	0.959111	+	1.66123i	0.724668	+	0.689098i	$0.241993\pi$
$839$	27.7811	+	48.1183i	0.959111	+	1.66123i	0.234443	+	0.972130i	$0.424674\pi$
$840$	−3.68258	+	18.4712i	−0.127061	+	0.637319i
$841$	−0.871643	+	1.50973i	−0.0300567	+	0.0520597i
$842$	−5.22262	+	9.04585i	−0.179983	+	0.311740i
$843$	−25.8824	+	8.77323i	−0.891436	+	0.302166i
$844$	22.7946	+	39.4815i	0.784623	+	1.35901i
$845$	−23.3456			−0.803113
$846$	−10.2497	+	7.85058i	−0.352391	+	0.269908i
$847$	20.8226			0.715474
$848$	−3.64385	−	6.31133i	−0.125130	−	0.216732i
$849$	14.6406	+	12.8508i	0.502465	+	0.441040i
$850$	1.85889	−	3.21970i	0.0637595	−	0.110435i
$851$	9.13574	−	15.8236i	0.313169	−	0.542425i
$852$	−15.4649	−	13.5743i	−0.529818	−	0.465049i
$853$	−10.1955	−	17.6592i	−0.349089	−	0.604639i	0.636999	−	0.770864i	$-0.280175\pi$
$853$	−10.1955	−	17.6592i	−0.349089	−	0.604639i	−0.986088	+	0.166225i	$0.946842\pi$
$854$	7.66136			0.262166
$855$	15.6229	−	11.9661i	0.534292	−	0.409233i
$856$	−11.2013			−0.382851
$857$	27.4889	+	47.6121i	0.939002	+	1.62640i	0.767337	+	0.641244i	$0.221581\pi$
$857$	27.4889	+	47.6121i	0.939002	+	1.62640i	0.171665	+	0.985155i	$0.445085\pi$
$858$	−1.93101	+	0.654547i	−0.0659237	+	0.0223459i
$859$	−2.84336	+	4.92484i	−0.0970141	+	0.168033i	−0.910447	−	0.413625i	$-0.864263\pi$
$859$	−2.84336	+	4.92484i	−0.0970141	+	0.168033i	0.813433	+	0.581658i	$0.197596\pi$
$860$	−6.34879	+	10.9964i	−0.216492	+	0.374975i
$861$	4.54151	−	22.7795i	0.154774	−	0.776324i
$862$	0.493972	+	0.855584i	0.0168247	+	0.0291413i
$863$	−32.4295			−1.10391			−0.551956	−	0.833873i	$-0.686119\pi$
$863$	−32.4295			−1.10391			−0.551956	+	0.833873i	$0.686119\pi$
$864$	12.3372	+	25.1005i	0.419720	+	0.853937i
$865$	36.4879			1.24063
$866$	−2.85358	−	4.94255i	−0.0969687	−	0.167955i
$867$	−8.02913	+	40.2729i	−0.272684	+	1.36774i
$868$	−8.49670	+	14.7167i	−0.288397	+	0.499518i
$869$	5.17818	−	8.96887i	0.175658	−	0.304248i
$870$	12.5696	−	4.26066i	0.426150	−	0.144450i
$871$	0.935088	+	1.61962i	0.0316842	+	0.0548787i
$872$	−20.6917			−0.700710
$873$	−6.42030	−	49.0996i	−0.217294	−	1.66177i
$874$	4.19149			0.141779
$875$	−10.4019	−	18.0167i	−0.351650	−	0.609075i
$876$	−25.3238	−	22.2281i	−0.855613	−	0.751016i
$877$	−6.30763	+	10.9251i	−0.212993	+	0.368915i	−0.952650	−	0.304069i	$-0.901655\pi$
$877$	−6.30763	+	10.9251i	−0.212993	+	0.368915i	0.739657	+	0.672985i	$0.234988\pi$
$878$	−6.33012	+	10.9641i	−0.213631	+	0.370020i
$879$	13.4218	+	11.7811i	0.452708	+	0.397365i
$880$	3.02623	+	5.24158i	0.102014	+	0.176694i
$881$	42.8099			1.44230			0.721152	−	0.692777i	$-0.243613\pi$
$881$	42.8099			1.44230			0.721152	+	0.692777i	$0.243613\pi$
$882$	3.79808	+	1.57712i	0.127888	+	0.0531043i
$883$	−10.7683			−0.362381			−0.181191	−	0.983448i	$-0.557995\pi$
$883$	−10.7683			−0.362381			−0.181191	+	0.983448i	$0.557995\pi$
$884$	−10.0446	−	17.3977i	−0.337836	−	0.585149i
$885$	1.98292	−	0.672141i	0.0666551	−	0.0225938i
$886$	−7.29892	+	12.6421i	−0.245212	+	0.424719i
$887$	−8.20361	+	14.2091i	−0.275450	+	0.477094i	−0.970249	−	0.242111i	$-0.922160\pi$
$887$	−8.20361	+	14.2091i	−0.275450	+	0.477094i	0.694798	+	0.719205i	$0.255494\pi$
$888$	−4.59416	+	23.0436i	−0.154170	+	0.773293i
$889$	10.0236	+	17.3615i	0.336182	+	0.582285i
$890$	16.4773			0.552321
$891$	−2.62360	+	9.72316i	−0.0878938	+	0.325738i
$892$	33.8665			1.13394
$893$	10.2136	+	17.6905i	0.341785	+	0.591988i
$894$	0.679706	−	3.40930i	0.0227328	−	0.114024i
$895$	1.10142	−	1.90772i	0.0368166	−	0.0637682i
$896$	−12.3241	+	21.3461i	−0.411721	+	0.713122i
$897$	8.56148	−	2.90204i	0.285859	−	0.0968965i
$898$	−6.02918	−	10.4428i	−0.201196	−	0.348482i
$899$	26.1997			0.873808
$900$	4.83188	+	2.00640i	0.161063	+	0.0668799i
$901$	−21.1203			−0.703620
$902$	1.97584	+	3.42225i	0.0657882	+	0.113948i
$903$	−8.53617	−	7.49264i	−0.284066	−	0.249339i
$904$	−17.8422	+	30.9035i	−0.593422	+	1.02784i
$905$	−8.53145	+	14.7769i	−0.283595	+	0.491201i
$906$	−6.79836	−	5.96728i	−0.225860	−	0.198249i
$907$	−27.5489	−	47.7161i	−0.914746	−	1.58439i	−0.807273	−	0.590178i	$-0.799058\pi$
$907$	−27.5489	−	47.7161i	−0.914746	−	1.58439i	−0.107473	−	0.994208i	$-0.534276\pi$
$908$	−2.72283			−0.0903601
$909$	−2.34059	−	17.8998i	−0.0776324	−	0.593698i
$910$	−5.52093			−0.183017
$911$	6.61461	+	11.4568i	0.219152	+	0.379582i	0.954549	−	0.298054i	$-0.0963377\pi$
$911$	6.61461	+	11.4568i	0.219152	+	0.379582i	−0.735397	+	0.677636i	$0.763004\pi$
$912$	9.64254	−	3.26849i	0.319296	−	0.108230i
$913$	−8.32702	+	14.4228i	−0.275584	+	0.477325i
$914$	−3.46952	+	6.00938i	−0.114761	+	0.198773i
$915$	5.30479	−	26.6080i	0.175371	−	0.879634i
$916$	13.9829	+	24.2192i	0.462009	+	0.800224i
$917$	25.5966			0.845275
$918$	18.6077	+	1.24419i	0.614146	+	0.0410645i
$919$	−30.4699			−1.00511			−0.502554	−	0.864546i	$-0.667606\pi$
$919$	−30.4699			−1.00511			−0.502554	+	0.864546i	$0.667606\pi$
$920$	7.10340	+	12.3035i	0.234192	+	0.405633i
$921$	10.0287	−	50.3027i	0.330458	−	1.65753i
$922$	0.246740	−	0.427366i	0.00812594	−	0.0140745i
$923$	6.59853	−	11.4290i	0.217193	−	0.376190i
$924$	−6.60129	+	2.23761i	−0.217166	+	0.0736119i
$925$	3.39098	+	5.87335i	0.111495	+	0.193114i
$926$	−0.462950			−0.0152135
$927$	−8.85556	+	6.78278i	−0.290855	+	0.222776i
$928$	29.8445			0.979692
$929$	15.4228	+	26.7131i	0.506006	+	0.876428i	0.999976	+	0.00694883i	$0.00221190\pi$
$929$	15.4228	+	26.7131i	0.506006	+	0.876428i	−0.493970	+	0.869479i	$0.664455\pi$
$930$	−8.50048	−	7.46131i	−0.278742	−	0.244666i
$931$	3.25337	−	5.63501i	0.106625	−	0.184680i
$932$	13.4057	−	23.2193i	0.439117	−	0.760573i
$933$	−16.1637	−	14.1878i	−0.529177	−	0.464486i
$934$	3.57278	+	6.18823i	0.116905	+	0.202485i
$935$	17.5405			0.573636
$936$	−9.22924	+	7.06899i	−0.301667	+	0.231057i
$937$	15.8695			0.518433			0.259217	−	0.965819i	$-0.416536\pi$
$937$	15.8695			0.518433			0.259217	+	0.965819i	$0.416536\pi$
$938$	−0.600800	−	1.04062i	−0.0196168	−	0.0339773i
$939$	8.77369	−	2.97398i	0.286319	−	0.0970521i
$940$	−15.8223	+	27.4050i	−0.516066	+	0.893853i
$941$	17.0806	−	29.5844i	0.556811	−	0.964425i	−0.440949	−	0.897532i	$-0.645358\pi$
$941$	17.0806	−	29.5844i	0.556811	−	0.964425i	0.997760	−	0.0668931i	$-0.0213087\pi$
$942$	−2.10347	+	10.5507i	−0.0685347	+	0.343759i
$943$	−8.76021	−	15.1731i	−0.285272	−	0.494105i
$944$	1.08325			0.0352568
$945$	−15.1800	+	22.6539i	−0.493804	+	0.736930i
$946$	1.93231			0.0628249
$947$	10.4198	+	18.0477i	0.338600	+	0.586472i	0.984170	−	0.177229i	$-0.0567135\pi$
$947$	10.4198	+	18.0477i	0.338600	+	0.586472i	−0.645570	+	0.763701i	$0.723380\pi$
$948$	5.27675	−	26.4674i	0.171381	−	0.859621i
$949$	10.8051	−	18.7150i	0.350749	−	0.607516i
$950$	−0.777893	+	1.34735i	−0.0252382	+	0.0437138i
$951$	−32.0856	+	10.8759i	−1.04045	+	0.352675i
$952$	14.1204	+	24.4572i	0.457644	+	0.792662i
$953$	−48.5341			−1.57218			−0.786088	−	0.618115i	$-0.787897\pi$
$953$	−48.5341			−1.57218			−0.786088	+	0.618115i	$0.787897\pi$
$954$	0.724277	+	5.53895i	0.0234493	+	0.179330i
$955$	16.1138			0.521429
$956$	15.5096	+	26.8634i	0.501615	+	0.868823i
$957$	8.07644	+	7.08911i	0.261074	+	0.229159i
$958$	6.01894	−	10.4251i	0.194463	−	0.336820i
$959$	−14.8974	+	25.8031i	−0.481063	+	0.833225i
$960$	4.39867	+	3.86094i	0.141967	+	0.124611i
$961$	4.33620	+	7.51052i	0.139878	+	0.242275i
$962$	−6.88758			−0.222065
$963$	−14.9776	−	6.21931i	−0.482646	−	0.200415i
$964$	39.1987			1.26251
$965$	−11.1808	−	19.3658i	−0.359923	−	0.623406i
$966$	−5.50080	+	1.86458i	−0.176985	+	0.0599919i
$967$	4.59666	−	7.96166i	0.147819	−	0.256030i	−0.782602	−	0.622522i	$-0.786108\pi$
$967$	4.59666	−	7.96166i	0.147819	−	0.256030i	0.930421	+	0.366492i	$0.119441\pi$
$968$	−10.0991	+	17.4922i	−0.324598	+	0.562219i
$969$	5.76913	−	28.9371i	0.185331	−	0.929593i
$970$	11.4054	+	19.7548i	0.366207	+	0.634288i
$971$	56.1537			1.80206			0.901030	−	0.433758i	$-0.142813\pi$
$971$	56.1537			1.80206			0.901030	+	0.433758i	$0.142813\pi$
$972$	1.65906	+	26.1919i	0.0532144	+	0.840105i
$973$	29.7358			0.953285
$974$	−5.09710	−	8.82843i	−0.163322	−	0.282881i
$975$	−0.656054	+	3.29066i	−0.0210105	+	0.105386i
$976$	7.01863	−	12.1566i	0.224661	−	0.389124i
$977$	25.2313	−	43.7020i	0.807222	−	1.39815i	−0.107558	−	0.994199i	$-0.534303\pi$
$977$	25.2313	−	43.7020i	0.807222	−	1.39815i	0.914780	−	0.403951i	$-0.132364\pi$
$978$	−12.4346	+	4.21489i	−0.397614	+	0.134777i
$979$	6.67081	+	11.5542i	0.213200	+	0.369273i
$980$	10.0799			0.321989
$981$	−27.6676	−	11.4887i	−0.883359	−	0.366807i
$982$	−22.8577			−0.729420
$983$	11.5246	+	19.9611i	0.367576	+	0.636661i	0.989186	−	0.146666i	$-0.0468543\pi$
$983$	11.5246	+	19.9611i	0.367576	+	0.636661i	−0.621610	+	0.783327i	$0.713521\pi$
$984$	16.9334	+	14.8633i	0.539817	+	0.473825i
$985$	19.6065	−	33.9594i	0.624714	−	1.08204i
$986$	9.95004	−	17.2340i	0.316874	−	0.548842i
$987$	−21.2736	−	18.6730i	−0.677147	−	0.594367i
$988$	4.20337	+	7.28045i	0.133727	+	0.231622i
$989$	−8.56724			−0.272422
$990$	−0.601515	−	4.60012i	−0.0191174	−	0.146201i
$991$	34.7203			1.10293			0.551463	−	0.834199i	$-0.314070\pi$
$991$	34.7203			1.10293			0.551463	+	0.834199i	$0.314070\pi$
$992$	−12.7168	−	22.0262i	−0.403760	−	0.699333i
$993$	12.9917	−	4.40373i	0.412279	−	0.139748i
$994$	−4.23960	+	7.34320i	−0.134472	+	0.232912i
$995$	−19.8081	+	34.3087i	−0.627960	+	1.08766i
$996$	−8.48553	+	42.5621i	−0.268874	+	1.34863i
$997$	−15.7937	−	27.3554i	−0.500190	−	0.866355i	−1.00000		0.000219891i	$-0.999930\pi$
$997$	−15.7937	−	27.3554i	−0.500190	−	0.866355i	0.499810	−	0.866135i	$-0.333403\pi$
$998$	−0.708485			−0.0224267
$999$	−18.9376	+	28.2616i	−0.599159	+	0.894157i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.b.202.13	✓	66
9.4	even	3		5427.2.a.n.1.21		33
9.5	odd	6		5427.2.a.q.1.13		33
9.7	even	3	inner	603.2.e.b.403.13	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.b.202.13	✓	66	1.1	even	1	trivial
603.2.e.b.403.13	yes	66	9.7	even	3	inner
5427.2.a.n.1.21		33	9.4	even	3
5427.2.a.q.1.13		33	9.5	odd	6

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:	\( N \)	\(=\)	\( 603 = 3^{2} \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	603.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281257 - 0.487152i) q^{2} +(-0.338651 + 1.69862i) q^{3} +(0.841789 - 1.45802i) q^{4} +(-1.22840 + 2.12765i) q^{5} +(0.922735 - 0.312775i) q^{6} +(1.06806 + 1.84994i) q^{7} -2.07207 q^{8} +(-2.77063 - 1.15048i) q^{9} +O(q^{10})\)	\(q+(-0.281257 - 0.487152i) q^{2} +(-0.338651 + 1.69862i) q^{3} +(0.841789 - 1.45802i) q^{4} +(-1.22840 + 2.12765i) q^{5} +(0.922735 - 0.312775i) q^{6} +(1.06806 + 1.84994i) q^{7} -2.07207 q^{8} +(-2.77063 - 1.15048i) q^{9} +1.38199 q^{10} +(0.559495 + 0.969073i) q^{11} +(2.19155 + 1.92364i) q^{12} +(-0.935088 + 1.61962i) q^{13} +(0.600800 - 1.04062i) q^{14} +(-3.19808 - 2.80712i) q^{15} +(-1.10079 - 1.90663i) q^{16} -6.38037 q^{17} +(0.218802 + 1.67330i) q^{18} +2.67001 q^{19} +(2.06811 + 3.58207i) q^{20} +(-3.50404 + 1.18775i) q^{21} +(0.314724 - 0.545118i) q^{22} +(-1.39538 + 2.41687i) q^{23} +(0.701707 - 3.51966i) q^{24} +(-0.517934 - 0.897088i) q^{25} +1.05200 q^{26} +(2.89251 - 4.31664i) q^{27} +3.59633 q^{28} +(-2.77233 - 4.80182i) q^{29} +(-0.468011 + 2.34747i) q^{30} +(-2.36260 + 4.09215i) q^{31} +(-2.69128 + 4.66143i) q^{32} +(-1.83556 + 0.622192i) q^{33} +(1.79453 + 3.10821i) q^{34} -5.24803 q^{35} +(-4.00971 + 3.07118i) q^{36} -6.54712 q^{37} +(-0.750958 - 1.30070i) q^{38} +(-2.43445 - 2.13685i) q^{39} +(2.54533 - 4.40863i) q^{40} +(-3.13900 + 5.43691i) q^{41} +(1.56415 + 1.37294i) q^{42} +(1.53493 + 2.65857i) q^{43} +1.88391 q^{44} +(5.85126 - 4.48169i) q^{45} +1.56984 q^{46} +(3.82531 + 6.62562i) q^{47} +(3.61143 - 1.22415i) q^{48} +(1.21849 - 2.11048i) q^{49} +(-0.291345 + 0.504625i) q^{50} +(2.16072 - 10.8378i) q^{51} +(1.57429 + 2.72676i) q^{52} +3.31020 q^{53} +(-2.91640 - 0.195003i) q^{54} -2.74913 q^{55} +(-2.21309 - 3.83319i) q^{56} +(-0.904200 + 4.53533i) q^{57} +(-1.55948 + 2.70109i) q^{58} +(-0.246015 + 0.426111i) q^{59} +(-6.78494 + 2.29986i) q^{60} +(3.18798 + 5.52175i) q^{61} +2.65800 q^{62} +(-0.830889 - 6.35428i) q^{63} -1.37541 q^{64} +(-2.29732 - 3.97908i) q^{65} +(0.819367 + 0.719201i) q^{66} +(0.500000 - 0.866025i) q^{67} +(-5.37093 + 9.30272i) q^{68} +(-3.63280 - 3.18870i) q^{69} +(1.47605 + 2.55659i) q^{70} -7.05659 q^{71} +(5.74093 + 2.38387i) q^{72} -11.5552 q^{73} +(1.84143 + 3.18944i) q^{74} +(1.69921 - 0.575974i) q^{75} +(2.24758 - 3.89292i) q^{76} +(-1.19515 + 2.07006i) q^{77} +(-0.356261 + 1.78695i) q^{78} +(-4.62755 - 8.01516i) q^{79} +5.40886 q^{80} +(6.35279 + 6.37511i) q^{81} +3.53147 q^{82} +(7.44155 + 12.8891i) q^{83} +(-1.21790 + 6.10880i) q^{84} +(7.83765 - 13.5752i) q^{85} +(0.863419 - 1.49548i) q^{86} +(9.09533 - 3.08300i) q^{87} +(-1.15931 - 2.00798i) q^{88} +11.9229 q^{89} +(-3.82897 - 1.58995i) q^{90} -3.99493 q^{91} +(2.34923 + 4.06899i) q^{92} +(-6.15092 - 5.39898i) q^{93} +(2.15179 - 3.72701i) q^{94} +(-3.27983 + 5.68084i) q^{95} +(-7.00660 - 6.15006i) q^{96} +(8.25294 + 14.2945i) q^{97} -1.37084 q^{98} +(-0.435254 - 3.32863i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9	\( 66 q + 7 q^{2} - 33 q^{4} + 18 q^{5} - 3 q^{6} - 48 q^{8} + 4 q^{9} + 12 q^{11} + q^{12} + 9 q^{14} + 3 q^{15} - 33 q^{16} - 62 q^{17} + 7 q^{18} + 43 q^{20} + 17 q^{21} + 19 q^{23} - 17 q^{24} - 33 q^{25} - 28 q^{26} - 3 q^{27} + 54 q^{28} + 25 q^{29} + 24 q^{30} + 45 q^{32} - 32 q^{33} - 6 q^{34} - 50 q^{35} + 53 q^{36} - 24 q^{37} + 34 q^{38} + 19 q^{39} - 6 q^{40} + 34 q^{41} - 107 q^{42} - 98 q^{44} + 9 q^{45} + 12 q^{46} + 26 q^{47} + 49 q^{48} - 33 q^{49} + 39 q^{50} - 50 q^{51} + 9 q^{52} - 104 q^{53} + 70 q^{54} + 60 q^{55} + 16 q^{56} + 6 q^{57} + 3 q^{58} + 21 q^{59} - 161 q^{60} - 54 q^{62} + q^{63} - 12 q^{64} + 52 q^{65} + 52 q^{66} + 33 q^{67} + 98 q^{68} + 2 q^{69} - 6 q^{70} - 62 q^{71} + 66 q^{72} + 27 q^{74} + 21 q^{75} - 6 q^{76} + 85 q^{77} - 107 q^{78} - 172 q^{80} + 72 q^{81} + 102 q^{82} + 71 q^{83} - 54 q^{84} - 27 q^{85} + 9 q^{86} + 3 q^{87} - 12 q^{88} - 82 q^{89} + 153 q^{90} - 60 q^{91} + 67 q^{92} - 47 q^{93} + 15 q^{94} + 58 q^{95} - 136 q^{96} - 12 q^{97} - 172 q^{98} + 96 q^{99}+O(q^{100}) \) 66 * q + 7 * q^2 - 33 * q^4 + 18 * q^5 - 3 * q^6 - 48 * q^8 + 4 * q^9 + 12 * q^11 + q^12 + 9 * q^14 + 3 * q^15 - 33 * q^16 - 62 * q^17 + 7 * q^18 + 43 * q^20 + 17 * q^21 + 19 * q^23 - 17 * q^24 - 33 * q^25 - 28 * q^26 - 3 * q^27 + 54 * q^28 + 25 * q^29 + 24 * q^30 + 45 * q^32 - 32 * q^33 - 6 * q^34 - 50 * q^35 + 53 * q^36 - 24 * q^37 + 34 * q^38 + 19 * q^39 - 6 * q^40 + 34 * q^41 - 107 * q^42 - 98 * q^44 + 9 * q^45 + 12 * q^46 + 26 * q^47 + 49 * q^48 - 33 * q^49 + 39 * q^50 - 50 * q^51 + 9 * q^52 - 104 * q^53 + 70 * q^54 + 60 * q^55 + 16 * q^56 + 6 * q^57 + 3 * q^58 + 21 * q^59 - 161 * q^60 - 54 * q^62 + q^63 - 12 * q^64 + 52 * q^65 + 52 * q^66 + 33 * q^67 + 98 * q^68 + 2 * q^69 - 6 * q^70 - 62 * q^71 + 66 * q^72 + 27 * q^74 + 21 * q^75 - 6 * q^76 + 85 * q^77 - 107 * q^78 - 172 * q^80 + 72 * q^81 + 102 * q^82 + 71 * q^83 - 54 * q^84 - 27 * q^85 + 9 * q^86 + 3 * q^87 - 12 * q^88 - 82 * q^89 + 153 * q^90 - 60 * q^91 + 67 * q^92 - 47 * q^93 + 15 * q^94 + 58 * q^95 - 136 * q^96 - 12 * q^97 - 172 * q^98 + 96 * q^99

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