LMFDB - Embedded newform 603.2.e.a.202.16

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			202.16
Character	$\chi$	$=$	603.202
Dual form			603.2.e.a.403.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.252979 - 0.438172i) q^{2} +(1.33275 - 1.10624i) q^{3} +(0.872004 - 1.51035i) q^{4} +(0.791568 - 1.37104i) q^{5} +(-0.821881 - 0.304120i) q^{6} +(-0.347938 - 0.602647i) q^{7} -1.89431 q^{8} +(0.552467 - 2.94869i) q^{9} +O(q^{10})$	\(q+(-0.252979 - 0.438172i) q^{2} +(1.33275 - 1.10624i) q^{3} +(0.872004 - 1.51035i) q^{4} +(0.791568 - 1.37104i) q^{5} +(-0.821881 - 0.304120i) q^{6} +(-0.347938 - 0.602647i) q^{7} -1.89431 q^{8} +(0.552467 - 2.94869i) q^{9} -0.800999 q^{10} +(1.27322 + 2.20529i) q^{11} +(-0.508648 - 2.97758i) q^{12} +(-0.173841 + 0.301101i) q^{13} +(-0.176042 + 0.304914i) q^{14} +(-0.461729 - 2.70292i) q^{15} +(-1.26479 - 2.19068i) q^{16} +0.910521 q^{17} +(-1.43180 + 0.503880i) q^{18} +0.652184 q^{19} +(-1.38050 - 2.39110i) q^{20} +(-1.13039 - 0.418277i) q^{21} +(0.644196 - 1.11578i) q^{22} +(-2.01385 + 3.48809i) q^{23} +(-2.52465 + 2.09556i) q^{24} +(1.24684 + 2.15959i) q^{25} +0.175912 q^{26} +(-2.52566 - 4.54104i) q^{27} -1.21361 q^{28} +(1.98529 + 3.43862i) q^{29} +(-1.06754 + 0.886097i) q^{30} +(4.10632 - 7.11235i) q^{31} +(-2.53424 + 4.38942i) q^{32} +(4.13647 + 1.53061i) q^{33} +(-0.230342 - 0.398965i) q^{34} -1.10167 q^{35} +(-3.97182 - 3.40569i) q^{36} -7.26476 q^{37} +(-0.164989 - 0.285768i) q^{38} +(0.101403 + 0.593603i) q^{39} +(-1.49947 + 2.59716i) q^{40} +(-5.12828 + 8.88243i) q^{41} +(0.102687 + 0.601119i) q^{42} +(4.33092 + 7.50138i) q^{43} +4.44102 q^{44} +(-3.60545 - 3.09154i) q^{45} +2.03784 q^{46} +(2.54881 + 4.41468i) q^{47} +(-4.10907 - 1.52048i) q^{48} +(3.25788 - 5.64281i) q^{49} +(0.630847 - 1.09266i) q^{50} +(1.21350 - 1.00726i) q^{51} +(0.303179 + 0.525122i) q^{52} +4.79621 q^{53} +(-1.35082 + 2.25546i) q^{54} +4.03137 q^{55} +(0.659102 + 1.14160i) q^{56} +(0.869201 - 0.721472i) q^{57} +(1.00447 - 1.73979i) q^{58} +(2.99434 - 5.18635i) q^{59} +(-4.48500 - 1.65958i) q^{60} +(-7.27522 - 12.6011i) q^{61} -4.15524 q^{62} +(-1.96924 + 0.693020i) q^{63} -2.49472 q^{64} +(0.275214 + 0.476684i) q^{65} +(-0.375766 - 2.19970i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(0.793978 - 1.37521i) q^{68} +(1.17470 + 6.87656i) q^{69} +(0.278698 + 0.482720i) q^{70} -2.57503 q^{71} +(-1.04654 + 5.58573i) q^{72} +6.61933 q^{73} +(1.83783 + 3.18321i) q^{74} +(4.05075 + 1.49890i) q^{75} +(0.568707 - 0.985029i) q^{76} +(0.886006 - 1.53461i) q^{77} +(0.234447 - 0.194601i) q^{78} +(-0.290292 - 0.502800i) q^{79} -4.00467 q^{80} +(-8.38956 - 3.25811i) q^{81} +5.18937 q^{82} +(-4.35031 - 7.53496i) q^{83} +(-1.61745 + 1.34255i) q^{84} +(0.720740 - 1.24836i) q^{85} +(2.19126 - 3.79538i) q^{86} +(6.44984 + 2.38663i) q^{87} +(-2.41187 - 4.17749i) q^{88} -2.76682 q^{89} +(-0.442526 + 2.36190i) q^{90} +0.241943 q^{91} +(3.51217 + 6.08325i) q^{92} +(-2.39525 - 14.0216i) q^{93} +(1.28959 - 2.23364i) q^{94} +(0.516248 - 0.894168i) q^{95} +(1.47824 + 8.65350i) q^{96} +(1.46408 + 2.53586i) q^{97} -3.29669 q^{98} +(7.20612 - 2.53599i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * 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 $

$2$	−0.252979	−	0.438172i	−0.178883	−	0.309834i	0.762615	−	0.646852i	$-0.223915\pi$
$2$	−0.252979	−	0.438172i	−0.178883	−	0.309834i	−0.941498	+	0.337018i	$0.890582\pi$
$3$	1.33275	−	1.10624i	0.769466	−	0.638688i
$3$	1.33275	−	1.10624i	0.769466	−	0.638688i
$4$	0.872004	−	1.51035i	0.436002	−	0.755177i
$5$	0.791568	−	1.37104i	0.354000	−	0.613146i	−0.632946	−	0.774196i	$-0.718155\pi$
$5$	0.791568	−	1.37104i	0.354000	−	0.613146i	0.986946	+	0.161050i	$0.0514879\pi$
$6$	−0.821881	−	0.304120i	−0.335532	−	0.124157i
$7$	−0.347938	−	0.602647i	−0.131508	−	0.227779i	0.792750	−	0.609547i	$-0.208649\pi$
$7$	−0.347938	−	0.602647i	−0.131508	−	0.227779i	−0.924258	+	0.381768i	$0.875315\pi$
$8$	−1.89431			−0.669739
$9$	0.552467	−	2.94869i	0.184156	−	0.982897i
$10$	−0.800999			−0.253298
$11$	1.27322	+	2.20529i	0.383891	+	0.664919i	0.991615	−	0.129230i	$-0.0412505\pi$
$11$	1.27322	+	2.20529i	0.383891	+	0.664919i	−0.607724	+	0.794149i	$0.707917\pi$
$12$	−0.508648	−	2.97758i	−0.146834	−	0.859552i
$13$	−0.173841	+	0.301101i	−0.0482147	+	0.0835104i	−0.889126	−	0.457663i	$-0.848687\pi$
$13$	−0.173841	+	0.301101i	−0.0482147	+	0.0835104i	0.840911	+	0.541174i	$0.182020\pi$
$14$	−0.176042	+	0.304914i	−0.0470492	+	0.0814916i
$15$	−0.461729	−	2.70292i	−0.119218	−	0.697891i
$16$	−1.26479	−	2.19068i	−0.316197	−	0.547669i
$17$	0.910521			0.220834			0.110417	−	0.993885i	$-0.464781\pi$
$17$	0.910521			0.220834			0.110417	+	0.993885i	$0.464781\pi$
$18$	−1.43180	+	0.503880i	−0.337477	+	0.118766i
$19$	0.652184			0.149621			0.0748106	−	0.997198i	$-0.476165\pi$
$19$	0.652184			0.149621			0.0748106	+	0.997198i	$0.476165\pi$
$20$	−1.38050	−	2.39110i	−0.308689	−	0.534666i
$21$	−1.13039	−	0.418277i	−0.246671	−	0.0912755i
$22$	0.644196	−	1.11578i	0.137343	−	0.237885i
$23$	−2.01385	+	3.48809i	−0.419916	+	0.727316i	−0.995931	−	0.0901232i	$-0.971274\pi$
$23$	−2.01385	+	3.48809i	−0.419916	+	0.727316i	0.576014	+	0.817440i	$0.304607\pi$
$24$	−2.52465	+	2.09556i	−0.515341	+	0.427754i
$25$	1.24684	+	2.15959i	0.249368	+	0.431918i
$26$	0.175912			0.0344992
$27$	−2.52566	−	4.54104i	−0.486063	−	0.873924i
$28$	−1.21361			−0.229352
$29$	1.98529	+	3.43862i	0.368659	+	0.638536i	0.989356	−	0.145514i	$-0.0464837\pi$
$29$	1.98529	+	3.43862i	0.368659	+	0.638536i	−0.620697	+	0.784050i	$0.713150\pi$
$30$	−1.06754	+	0.886097i	−0.194904	+	0.161779i
$31$	4.10632	−	7.11235i	0.737517	−	1.27742i	−0.216094	−	0.976373i	$-0.569332\pi$
$31$	4.10632	−	7.11235i	0.737517	−	1.27742i	0.953610	−	0.301044i	$-0.0973350\pi$
$32$	−2.53424	+	4.38942i	−0.447994	+	0.775948i
$33$	4.13647	+	1.53061i	0.720067	+	0.266446i
$34$	−0.230342	−	0.398965i	−0.0395034	−	0.0684219i
$35$	−1.10167			−0.186216
$36$	−3.97182	−	3.40569i	−0.661969	−	0.567615i
$37$	−7.26476			−1.19432			−0.597160	−	0.802122i	$-0.703704\pi$
$37$	−7.26476			−1.19432			−0.597160	+	0.802122i	$0.703704\pi$
$38$	−0.164989	−	0.285768i	−0.0267647	−	0.0463578i
$39$	0.101403	+	0.593603i	0.0162375	+	0.0950525i
$40$	−1.49947	+	2.59716i	−0.237088	+	0.410648i
$41$	−5.12828	+	8.88243i	−0.800902	+	1.38720i	0.118121	+	0.992999i	$0.462313\pi$
$41$	−5.12828	+	8.88243i	−0.800902	+	1.38720i	−0.919023	+	0.394204i	$0.871020\pi$
$42$	0.102687	+	0.601119i	0.0158449	+	0.0927547i
$43$	4.33092	+	7.50138i	0.660460	+	1.14395i	0.980495	+	0.196544i	$0.0629719\pi$
$43$	4.33092	+	7.50138i	0.660460	+	1.14395i	−0.320035	+	0.947406i	$0.603695\pi$
$44$	4.44102			0.669509
$45$	−3.60545	−	3.09154i	−0.537469	−	0.460860i
$46$	2.03784			0.300463
$47$	2.54881	+	4.41468i	0.371783	+	0.643947i	0.989840	−	0.142187i	$-0.0454133\pi$
$47$	2.54881	+	4.41468i	0.371783	+	0.643947i	−0.618057	+	0.786133i	$0.712080\pi$
$48$	−4.10907	−	1.52048i	−0.593093	−	0.219462i
$49$	3.25788	−	5.64281i	0.465411	−	0.806116i
$50$	0.630847	−	1.09266i	0.0892152	−	0.154525i
$51$	1.21350	−	1.00726i	0.169924	−	0.141044i
$52$	0.303179	+	0.525122i	0.0420434	+	0.0728214i
$53$	4.79621			0.658811			0.329405	−	0.944189i	$-0.393152\pi$
$53$	4.79621			0.658811			0.329405	+	0.944189i	$0.393152\pi$
$54$	−1.35082	+	2.25546i	−0.183823	+	0.306929i
$55$	4.03137			0.543590
$56$	0.659102	+	1.14160i	0.0880763	+	0.152553i
$57$	0.869201	−	0.721472i	0.115128	−	0.0955613i
$58$	1.00447	−	1.73979i	0.131893	−	0.228446i
$59$	2.99434	−	5.18635i	0.389830	−	0.675206i	−0.602596	−	0.798046i	$-0.705867\pi$
$59$	2.99434	−	5.18635i	0.389830	−	0.675206i	0.992426	+	0.122840i	$0.0392003\pi$
$60$	−4.48500	−	1.65958i	−0.579011	−	0.214251i
$61$	−7.27522	−	12.6011i	−0.931497	−	1.61340i	−0.780764	−	0.624826i	$-0.785170\pi$
$61$	−7.27522	−	12.6011i	−0.931497	−	1.61340i	−0.150733	−	0.988575i	$-0.548163\pi$
$62$	−4.15524			−0.527716
$63$	−1.96924	+	0.693020i	−0.248102	+	0.0873124i
$64$	−2.49472			−0.311841
$65$	0.275214	+	0.476684i	0.0341360	+	0.0591254i
$66$	−0.375766	−	2.19970i	−0.0462535	−	0.270764i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$68$	0.793978	−	1.37521i	0.0962840	−	0.166769i
$69$	1.17470	+	6.87656i	0.141417	+	0.827841i
$70$	0.278698	+	0.482720i	0.0333108	+	0.0576961i
$71$	−2.57503			−0.305600			−0.152800	−	0.988257i	$-0.548829\pi$
$71$	−2.57503			−0.305600			−0.152800	+	0.988257i	$0.548829\pi$
$72$	−1.04654	+	5.58573i	−0.123336	+	0.658284i
$73$	6.61933			0.774734			0.387367	−	0.921926i	$-0.373385\pi$
$73$	6.61933			0.774734			0.387367	+	0.921926i	$0.373385\pi$
$74$	1.83783	+	3.18321i	0.213643	+	0.370041i
$75$	4.05075	+	1.49890i	0.467740	+	0.173078i
$76$	0.568707	−	0.985029i	0.0652351	−	0.112991i
$77$	0.886006	−	1.53461i	0.100970	−	0.174885i
$78$	0.234447	−	0.194601i	0.0265459	−	0.0220342i
$79$	−0.290292	−	0.502800i	−0.0326604	−	0.0565694i	0.849233	−	0.528018i	$-0.177065\pi$
$79$	−0.290292	−	0.502800i	−0.0326604	−	0.0565694i	−0.881894	+	0.471449i	$0.843731\pi$
$80$	−4.00467			−0.447735
$81$	−8.38956	−	3.25811i	−0.932173	−	0.362012i
$82$	5.18937			0.573071
$83$	−4.35031	−	7.53496i	−0.477509	−	0.827069i	0.522159	−	0.852848i	$-0.325127\pi$
$83$	−4.35031	−	7.53496i	−0.477509	−	0.827069i	−0.999668	+	0.0257788i	$0.991793\pi$
$84$	−1.61745	+	1.34255i	−0.176478	+	0.146484i
$85$	0.720740	−	1.24836i	0.0781752	−	0.135403i
$86$	2.19126	−	3.79538i	0.236290	−	0.409266i
$87$	6.44984	+	2.38663i	0.691496	+	0.255874i
$88$	−2.41187	−	4.17749i	−0.257107	−	0.445322i
$89$	−2.76682			−0.293282			−0.146641	−	0.989190i	$-0.546846\pi$
$89$	−2.76682			−0.293282			−0.146641	+	0.989190i	$0.546846\pi$
$90$	−0.442526	+	2.36190i	−0.0466463	+	0.248966i
$91$	0.241943			0.0253626
$92$	3.51217	+	6.08325i	0.366169	+	0.634223i
$93$	−2.39525	−	14.0216i	−0.248376	−	1.45397i
$94$	1.28959	−	2.23364i	0.133011	−	0.230382i
$95$	0.516248	−	0.894168i	0.0529659	−	0.0917397i
$96$	1.47824	+	8.65350i	0.150873	+	0.883194i
$97$	1.46408	+	2.53586i	0.148655	+	0.257478i	0.930731	−	0.365706i	$-0.119172\pi$
$97$	1.46408	+	2.53586i	0.148655	+	0.257478i	−0.782076	+	0.623184i	$0.785839\pi$
$98$	−3.29669			−0.333016
$99$	7.20612	−	2.53599i	0.724242	−	0.254877i
$100$	4.34899			0.434899
$101$	2.33270	+	4.04036i	0.232113	+	0.402031i	0.958430	−	0.285329i	$-0.0921028\pi$
$101$	2.33270	+	4.04036i	0.232113	+	0.402031i	−0.726317	+	0.687360i	$0.758770\pi$
$102$	−0.748340	−	0.276908i	−0.0740967	−	0.0274180i
$103$	3.49121	−	6.04695i	0.343999	−	0.595823i	−0.641173	−	0.767397i	$-0.721552\pi$
$103$	3.49121	−	6.04695i	0.343999	−	0.595823i	0.985171	+	0.171573i	$0.0548851\pi$
$104$	0.329308	−	0.570378i	0.0322913	−	0.0559301i
$105$	−1.46825	+	1.21871i	−0.143287	+	0.118934i
$106$	−1.21334	−	2.10156i	−0.117850	−	0.204122i
$107$	14.8310			1.43376			0.716882	−	0.697195i	$-0.245569\pi$
$107$	14.8310			1.43376			0.716882	+	0.697195i	$0.245569\pi$
$108$	−9.06097	−	0.145167i	−0.871892	−	0.0139687i
$109$	8.91302			0.853713			0.426856	−	0.904319i	$-0.359621\pi$
$109$	8.91302			0.853713			0.426856	+	0.904319i	$0.359621\pi$
$110$	−1.01985	−	1.76643i	−0.0972389	−	0.168423i
$111$	−9.68214	+	8.03657i	−0.918988	+	0.762797i
$112$	−0.880137	+	1.52444i	−0.0831651	+	0.144046i
$113$	−7.96597	+	13.7975i	−0.749375	+	1.29796i	0.198748	+	0.980051i	$0.436313\pi$
$113$	−7.96597	+	13.7975i	−0.749375	+	1.29796i	−0.948123	+	0.317905i	$0.897021\pi$
$114$	−0.536018	−	0.198342i	−0.0502026	−	0.0185765i
$115$	3.18820	+	5.52212i	0.297301	+	0.514940i
$116$	6.92472			0.642944
$117$	0.791812	+	0.678951i	0.0732031	+	0.0627690i
$118$	−3.03002			−0.278936
$119$	−0.316805	−	0.548723i	−0.0290415	−	0.0503014i
$120$	0.874657	+	5.12016i	0.0798449	+	0.467404i
$121$	2.25781	−	3.91064i	0.205255	−	0.355513i
$122$	−3.68095	+	6.37559i	−0.333258	+	0.577219i
$123$	2.99137	+	17.5112i	0.269723	+	1.57893i
$124$	−7.16145	−	12.4040i	−0.643117	−	1.11391i
$125$	11.8635			1.06111
$126$	0.801839	+	0.687548i	0.0714335	+	0.0612516i
$127$	4.28024			0.379810			0.189905	−	0.981802i	$-0.439182\pi$
$127$	4.28024			0.379810			0.189905	+	0.981802i	$0.439182\pi$
$128$	5.69958	+	9.87197i	0.503777	+	0.872567i
$129$	14.0704	+	5.20646i	1.23883	+	0.458403i
$130$	0.139246	−	0.241182i	0.0122127	−	0.0211530i
$131$	0.233898	−	0.405124i	0.0204358	−	0.0353958i	−0.855627	−	0.517594i	$-0.826828\pi$
$131$	0.233898	−	0.405124i	0.0204358	−	0.0353958i	0.876062	+	0.482198i	$0.160161\pi$
$132$	5.91879	−	4.91283i	0.515164	−	0.427607i
$133$	−0.226920	−	0.393037i	−0.0196764	−	0.0340806i
$134$	0.505957			0.0437080
$135$	−8.22517	−	0.131777i	−0.707910	−	0.0113415i
$136$	−1.72481			−0.147901
$137$	−2.13969	−	3.70604i	−0.182806	−	0.316629i	0.760029	−	0.649889i	$-0.225185\pi$
$137$	−2.13969	−	3.70604i	−0.182806	−	0.316629i	−0.942835	+	0.333260i	$0.891851\pi$
$138$	2.71594	−	2.25434i	0.231196	−	0.191902i
$139$	−8.95230	+	15.5058i	−0.759325	+	1.31519i	0.183871	+	0.982950i	$0.441137\pi$
$139$	−8.95230	+	15.5058i	−0.759325	+	1.31519i	−0.943195	+	0.332238i	$0.892196\pi$
$140$	−0.960659	+	1.66391i	−0.0811905	+	0.140626i
$141$	8.28063	+	3.06408i	0.697355	+	0.258042i
$142$	0.651429	+	1.12831i	0.0546667	+	0.0946855i
$143$	−0.885352			−0.0740368
$144$	−7.15839	+	2.51919i	−0.596532	+	0.209933i
$145$	6.28597			0.522021
$146$	−1.67455	−	2.90040i	−0.138587	−	0.240039i
$147$	−1.90035	−	11.1245i	−0.156738	−	0.917531i
$148$	−6.33490	+	10.9724i	−0.520726	+	0.901923i
$149$	−10.0777	+	17.4550i	−0.825594	+	1.42997i	0.0758698	+	0.997118i	$0.475827\pi$
$149$	−10.0777	+	17.4550i	−0.825594	+	1.42997i	−0.901464	+	0.432854i	$0.857507\pi$
$150$	−0.367979	−	2.15411i	−0.0300454	−	0.175883i
$151$	−2.02862	−	3.51367i	−0.165087	−	0.285939i	0.771599	−	0.636109i	$-0.219457\pi$
$151$	−2.02862	−	3.51367i	−0.165087	−	0.285939i	−0.936686	+	0.350170i	$0.886124\pi$
$152$	−1.23544			−0.100207
$153$	0.503033	−	2.68485i	0.0406678	−	0.217057i
$154$	−0.896562			−0.0722470
$155$	−6.50086	−	11.2598i	−0.522162	−	0.904411i
$156$	0.984975	+	0.364470i	0.0788611	+	0.0291809i
$157$	−1.85346	+	3.21028i	−0.147922	+	0.256208i	−0.930459	−	0.366395i	$-0.880592\pi$
$157$	−1.85346	+	3.21028i	−0.147922	+	0.256208i	0.782537	+	0.622604i	$0.213925\pi$
$158$	−0.146875	+	0.254395i	−0.0116848	+	0.0202386i
$159$	6.39217	−	5.30576i	0.506932	−	0.420774i
$160$	4.01204	+	6.94906i	0.317180	+	0.549371i
$161$	2.80278			0.220890
$162$	0.694767	+	4.50030i	0.0545861	+	0.353577i
$163$	−5.77352			−0.452217			−0.226109	−	0.974102i	$-0.572600\pi$
$163$	−5.77352			−0.452217			−0.226109	+	0.974102i	$0.572600\pi$
$164$	8.94375	+	15.4910i	0.698390	+	1.20965i
$165$	5.37283	−	4.45966i	0.418274	−	0.347184i
$166$	−2.20107	+	3.81237i	−0.170836	+	0.295897i
$167$	−3.19491	+	5.53376i	−0.247230	+	0.428215i	−0.962756	−	0.270371i	$-0.912854\pi$
$167$	−3.19491	+	5.53376i	−0.247230	+	0.428215i	0.715526	+	0.698586i	$0.246187\pi$
$168$	2.14130	+	0.792345i	0.165205	+	0.0611308i
$169$	6.43956	+	11.1536i	0.495351	+	0.857973i
$170$	−0.729327			−0.0559368
$171$	0.360310	−	1.92309i	0.0275536	−	0.147062i
$172$	15.1063			1.15185
$173$	3.37600	+	5.84741i	0.256673	+	0.444570i	0.965349	−	0.260964i	$-0.0840404\pi$
$173$	3.37600	+	5.84741i	0.256673	+	0.444570i	−0.708676	+	0.705534i	$0.750707\pi$
$174$	−0.585917	−	3.42990i	−0.0444183	−	0.260020i
$175$	0.867646	−	1.50281i	0.0655879	−	0.113602i
$176$	3.22071	−	5.57844i	0.242770	−	0.420491i
$177$	−1.74663	−	10.2246i	−0.131285	−	0.768528i
$178$	0.699946	+	1.21234i	0.0524631	+	0.0908688i
$179$	13.8414			1.03456			0.517278	−	0.855818i	$-0.326945\pi$
$179$	13.8414			1.03456			0.517278	+	0.855818i	$0.326945\pi$
$180$	−7.81329	+	2.74967i	−0.582368	+	0.204948i
$181$	14.8442			1.10336			0.551680	−	0.834056i	$-0.313987\pi$
$181$	14.8442			1.10336			0.551680	+	0.834056i	$0.313987\pi$
$182$	−0.0612065	−	0.106013i	−0.00453693	−	0.00785819i
$183$	−23.6359	−	8.74597i	−1.74721	−	0.646521i
$184$	3.81485	−	6.60751i	0.281234	−	0.487112i
$185$	−5.75056	+	9.96026i	−0.422789	+	0.732293i
$186$	−5.53792	+	4.59669i	−0.406060	+	0.337046i
$187$	1.15930	+	2.00796i	0.0847762	+	0.146837i
$188$	8.89030			0.648392
$189$	−1.85787	+	3.10208i	−0.135140	+	0.225643i
$190$	−0.522399			−0.0378988
$191$	−13.2340	−	22.9219i	−0.957577	−	1.65857i	−0.728358	−	0.685197i	$-0.759716\pi$
$191$	−13.2340	−	22.9219i	−0.957577	−	1.65857i	−0.229219	−	0.973375i	$-0.573617\pi$
$192$	−3.32485	+	2.75976i	−0.239951	+	0.199169i
$193$	−8.61802	+	14.9269i	−0.620339	+	1.07446i	0.369084	+	0.929396i	$0.379672\pi$
$193$	−8.61802	+	14.9269i	−0.620339	+	1.07446i	−0.989423	+	0.145062i	$0.953662\pi$
$194$	0.740763	−	1.28304i	0.0531837	−	0.0921168i
$195$	0.894119	+	0.330850i	0.0640292	+	0.0236927i
$196$	−5.68176	−	9.84110i	−0.405840	−	0.702936i
$197$	−0.955541			−0.0680795			−0.0340398	−	0.999420i	$-0.510837\pi$
$197$	−0.955541			−0.0680795			−0.0340398	+	0.999420i	$0.510837\pi$
$198$	−2.93419	−	2.51597i	−0.208524	−	0.178802i
$199$	4.20703			0.298229			0.149114	−	0.988820i	$-0.452358\pi$
$199$	4.20703			0.298229			0.149114	+	0.988820i	$0.452358\pi$
$200$	−2.36190	−	4.09092i	−0.167011	−	0.289272i
$201$	0.291655	+	1.70732i	0.0205717	+	0.120425i
$202$	1.18025	−	2.04425i	0.0830420	−	0.143833i
$203$	1.38152	−	2.39286i	0.0969635	−	0.167946i
$204$	−0.463135	−	2.71115i	−0.0324259	−	0.189818i
$205$	8.11876	+	14.0621i	0.567039	+	0.982140i
$206$	−3.53280			−0.246142
$207$	9.17271	+	7.86527i	0.637547	+	0.546674i
$208$	0.879487			0.0609814
$209$	0.830375	+	1.43825i	0.0574382	+	0.0994860i
$210$	0.905441	+	0.335040i	0.0624813	+	0.0231199i
$211$	0.500826	−	0.867456i	0.0344783	−	0.0597182i	−0.848271	−	0.529562i	$-0.822356\pi$
$211$	0.500826	−	0.867456i	0.0344783	−	0.0597182i	0.882750	+	0.469844i	$0.155690\pi$
$212$	4.18232	−	7.24398i	0.287243	−	0.497519i
$213$	−3.43189	+	2.84861i	−0.235149	+	0.195183i
$214$	−3.75192	−	6.49851i	−0.256476	−	0.444229i
$215$	13.7129			0.935212
$216$	4.78437	+	8.60213i	0.325535	+	0.585301i
$217$	−5.71498			−0.387958
$218$	−2.25480	−	3.90543i	−0.152715	−	0.264509i
$219$	8.82194	−	7.32257i	0.596132	−	0.494813i
$220$	3.51537	−	6.08880i	0.237006	−	0.410507i
$221$	−0.158286	+	0.274159i	−0.0106474	+	0.0184419i
$222$	5.97077	+	2.20936i	0.400732	+	0.148283i
$223$	−2.55393	−	4.42354i	−0.171024	−	0.296222i	0.767754	−	0.640745i	$-0.221374\pi$
$223$	−2.55393	−	4.42354i	−0.171024	−	0.296222i	−0.938778	+	0.344522i	$0.888041\pi$
$224$	3.52703			0.235660
$225$	7.05680	−	2.48344i	0.470453	−	0.165563i
$226$	8.06087			0.536201
$227$	0.730751	+	1.26570i	0.0485017	+	0.0840074i	0.889257	−	0.457408i	$-0.151222\pi$
$227$	0.730751	+	1.26570i	0.0485017	+	0.0840074i	−0.840755	+	0.541415i	$0.817889\pi$
$228$	−0.331732	−	1.94193i	−0.0219695	−	0.128607i
$229$	−3.24085	+	5.61331i	−0.214161	+	0.370938i	−0.953013	−	0.302930i	$-0.902035\pi$
$229$	−3.24085	+	5.61331i	−0.214161	+	0.370938i	0.738852	+	0.673868i	$0.235368\pi$
$230$	1.61309	−	2.79396i	0.106364	−	0.184228i
$231$	−0.516816	−	3.02539i	−0.0340040	−	0.199056i
$232$	−3.76075	−	6.51380i	−0.246905	−	0.427652i
$233$	5.40594			0.354155			0.177078	−	0.984197i	$-0.443336\pi$
$233$	5.40594			0.354155			0.177078	+	0.984197i	$0.443336\pi$
$234$	0.0971855	−	0.518710i	0.00635321	−	0.0339091i
$235$	8.07024			0.526445
$236$	−5.22216	−	9.04504i	−0.339933	−	0.588782i
$237$	−0.943105	−	0.348977i	−0.0612613	−	0.0226685i
$238$	−0.160290	+	0.277630i	−0.0103901	+	0.0179961i
$239$	3.34174	−	5.78807i	0.216159	−	0.374399i	−0.737471	−	0.675378i	$-0.763980\pi$
$239$	3.34174	−	5.78807i	0.216159	−	0.374399i	0.953631	+	0.300980i	$0.0973136\pi$
$240$	−5.33724	+	4.43012i	−0.344517	+	0.285963i
$241$	6.09448	+	10.5559i	0.392580	+	0.679968i	0.992789	−	0.119875i	$-0.0382493\pi$
$241$	6.09448	+	10.5559i	0.392580	+	0.679968i	−0.600209	+	0.799843i	$0.704916\pi$
$242$	−2.28471			−0.146867
$243$	−14.7855	+	4.93861i	−0.948488	+	0.316812i
$244$	−25.3761			−1.62454
$245$	−5.15767	−	8.93334i	−0.329511	−	0.570730i
$246$	6.91616	−	5.74069i	0.440958	−	0.366013i
$247$	−0.113376	+	0.196373i	−0.00721395	+	0.0124949i
$248$	−7.77863	+	13.4730i	−0.493943	+	0.855535i
$249$	−14.1334	−	5.22976i	−0.895666	−	0.331423i
$250$	−3.00122	−	5.19826i	−0.189814	−	0.328767i
$251$	−11.8327			−0.746874			−0.373437	−	0.927656i	$-0.621821\pi$
$251$	−11.8327			−0.746874			−0.373437	+	0.927656i	$0.621821\pi$
$252$	−0.670482	+	3.57857i	−0.0422364	+	0.225429i
$253$	−10.2563			−0.644808
$254$	−1.08281	−	1.87548i	−0.0679415	−	0.117678i
$255$	−0.420414	−	2.46107i	−0.0263274	−	0.154118i
$256$	0.389020	−	0.673802i	0.0243137	−	0.0421126i
$257$	−0.710022	+	1.22979i	−0.0442900	+	0.0767125i	−0.887321	−	0.461153i	$-0.847436\pi$
$257$	−0.710022	+	1.22979i	−0.0442900	+	0.0767125i	0.843031	+	0.537866i	$0.180769\pi$
$258$	−1.27818	−	7.48237i	−0.0795762	−	0.465832i
$259$	2.52769	+	4.37809i	0.157063	+	0.272041i
$260$	0.959949			0.0595335
$261$	11.2362	−	3.95428i	0.695506	−	0.244764i
$262$	−0.236685			−0.0146225
$263$	−6.89833	−	11.9483i	−0.425369	−	0.736761i	0.571086	−	0.820890i	$-0.306522\pi$
$263$	−6.89833	−	11.9483i	−0.425369	−	0.736761i	−0.996455	+	0.0841294i	$0.973189\pi$
$264$	−7.83574	−	2.89945i	−0.482256	−	0.178449i
$265$	3.79653	−	6.57579i	0.233219	−	0.403947i
$266$	−0.114812	+	0.198860i	−0.00703956	+	0.0121929i
$267$	−3.68749	+	3.06076i	−0.225671	+	0.187316i
$268$	0.872004	+	1.51035i	0.0532661	+	0.0922596i
$269$	−26.2975			−1.60339			−0.801694	−	0.597734i	$-0.796068\pi$
$269$	−26.2975			−1.60339			−0.801694	+	0.597734i	$0.796068\pi$
$270$	2.02305	+	3.63737i	0.123119	+	0.221363i
$271$	−0.739713			−0.0449343			−0.0224672	−	0.999748i	$-0.507152\pi$
$271$	−0.739713			−0.0449343			−0.0224672	+	0.999748i	$0.507152\pi$
$272$	−1.15162	−	1.99466i	−0.0698270	−	0.120944i
$273$	0.322451	−	0.267647i	0.0195156	−	0.0161988i
$274$	−1.08259	+	1.87510i	−0.0654016	+	0.113279i
$275$	−3.17501	+	5.49927i	−0.191460	+	0.331619i
$276$	11.4104	+	4.22218i	0.686825	+	0.254145i
$277$	6.64486	+	11.5092i	0.399251	+	0.691522i	0.993634	−	0.112660i	$-0.0359370\pi$
$277$	6.64486	+	11.5092i	0.399251	+	0.691522i	−0.594383	+	0.804182i	$0.702604\pi$
$278$	9.05896			0.543320
$279$	−18.7035	−	16.0376i	−1.11975	−	0.960146i
$280$	2.08690			0.124716
$281$	−10.5429	−	18.2608i	−0.628937	−	1.08935i	−0.987765	−	0.155947i	$-0.950157\pi$
$281$	−10.5429	−	18.2608i	−0.628937	−	1.08935i	0.358829	−	0.933403i	$-0.383176\pi$
$282$	−0.752230	−	4.40348i	−0.0447947	−	0.262224i
$283$	2.44995	−	4.24344i	0.145635	−	0.252247i	−0.783975	−	0.620792i	$-0.786811\pi$
$283$	2.44995	−	4.24344i	0.145635	−	0.252247i	0.929610	+	0.368546i	$0.120144\pi$
$284$	−2.24544	+	3.88922i	−0.133242	+	0.230783i
$285$	−0.301132	−	1.76280i	−0.0178375	−	0.104419i
$286$	0.223975	+	0.387936i	0.0132439	+	0.0229391i
$287$	7.13730			0.421301
$288$	11.5430	+	9.89769i	0.680176	+	0.583227i
$289$	−16.1710			−0.951232
$290$	−1.59021	−	2.75433i	−0.0933806	−	0.161740i
$291$	4.75654	+	1.76006i	0.278833	+	0.103176i
$292$	5.77208	−	9.99754i	0.337786	−	0.585062i
$293$	2.59691	−	4.49798i	0.151713	−	0.262775i	−0.780144	−	0.625600i	$-0.784854\pi$
$293$	2.59691	−	4.49798i	0.151713	−	0.262775i	0.931857	+	0.362825i	$0.118188\pi$
$294$	−4.39368	+	3.64693i	−0.256245	+	0.212693i
$295$	−4.74046	−	8.21071i	−0.276000	−	0.478046i
$296$	13.7617			0.799882
$297$	6.79857	−	11.3516i	0.394493	−	0.658684i
$298$	10.1977			0.590739
$299$	−0.700177	−	1.21274i	−0.0404923	−	0.0701347i
$300$	5.79614	−	4.81103i	0.334640	−	0.277765i
$301$	3.01379	−	5.22004i	0.173712	−	0.300878i
$302$	−1.02639	+	1.77777i	−0.0590624	+	0.102299i
$303$	7.57853	+	2.80428i	0.435375	+	0.161102i
$304$	−0.824875	−	1.42872i	−0.0473098	−	0.0819430i
$305$	−23.0354			−1.31900
$306$	−1.30368	+	0.458794i	−0.0745264	+	0.0262275i
$307$	−21.5451			−1.22964			−0.614821	−	0.788667i	$-0.710772\pi$
$307$	−21.5451			−1.22964			−0.614821	+	0.788667i	$0.710772\pi$
$308$	−1.54520	−	2.67637i	−0.0880460	−	0.152500i
$309$	−2.03645	−	11.9212i	−0.115850	−	0.678174i
$310$	−3.28916	+	5.69699i	−0.186812	+	0.323567i
$311$	5.00494	−	8.66881i	0.283804	−	0.491563i	−0.688514	−	0.725223i	$-0.741737\pi$
$311$	5.00494	−	8.66881i	0.283804	−	0.491563i	0.972319	+	0.233659i	$0.0750701\pi$
$312$	−0.192088	−	1.12447i	−0.0108749	−	0.0636604i
$313$	5.14219	+	8.90653i	0.290654	+	0.503427i	0.973964	−	0.226701i	$-0.0727939\pi$
$313$	5.14219	+	8.90653i	0.290654	+	0.503427i	−0.683311	+	0.730128i	$0.739461\pi$
$314$	1.87554			0.105843
$315$	−0.608636	+	3.24848i	−0.0342927	+	0.183031i
$316$	−1.01254			−0.0569599
$317$	−15.6783	−	27.1555i	−0.880579	−	1.52521i	−0.850699	−	0.525654i	$-0.823821\pi$
$317$	−15.6783	−	27.1555i	−0.880579	−	1.52521i	−0.0298801	−	0.999553i	$-0.509513\pi$
$318$	−3.94192	−	1.45863i	−0.221052	−	0.0817956i
$319$	−5.05543	+	8.75626i	−0.283050	+	0.490256i
$320$	−1.97475	+	3.42036i	−0.110392	+	0.191204i
$321$	19.7660	−	16.4066i	1.10323	−	0.915727i
$322$	−0.709043	−	1.22810i	−0.0395134	−	0.0684393i
$323$	0.593827			0.0330414
$324$	−12.2366	+	9.83013i	−0.679813	+	0.546118i
$325$	−0.867005			−0.0480928
$326$	1.46058	+	2.52979i	0.0808939	+	0.140112i
$327$	11.8789	−	9.85994i	0.656903	−	0.545256i
$328$	9.71453	−	16.8261i	0.536395	−	0.929064i
$329$	1.77366	−	3.07207i	0.0977851	−	0.169369i
$330$	−3.31331	−	1.22602i	−0.182392	−	0.0674903i
$331$	−7.31956	−	12.6779i	−0.402320	−	0.696838i	0.591686	−	0.806169i	$-0.298463\pi$
$331$	−7.31956	−	12.6779i	−0.402320	−	0.696838i	−0.994005	+	0.109331i	$0.965129\pi$
$332$	−15.1740			−0.832779
$333$	−4.01354	+	21.4215i	−0.219941	+	1.17389i
$334$	3.23298			0.176901
$335$	0.791568	+	1.37104i	0.0432480	+	0.0749077i
$336$	0.513392	+	3.00535i	0.0280078	+	0.163955i
$337$	−7.47989	+	12.9555i	−0.407456	+	0.705734i	−0.994604	−	0.103746i	$-0.966917\pi$
$337$	−7.47989	+	12.9555i	−0.407456	+	0.705734i	0.587148	+	0.809479i	$0.300251\pi$
$338$	3.25814	−	5.64326i	0.177219	−	0.306953i
$339$	4.64662	+	27.2009i	0.252370	+	1.47735i
$340$	−1.25698	−	2.17715i	−0.0681691	−	0.118072i
$341$	20.9130			1.13250
$342$	−0.933794	+	0.328623i	−0.0504938	+	0.0177699i
$343$	−9.40530			−0.507839
$344$	−8.20410	−	14.2099i	−0.442335	−	0.766148i
$345$	10.3579	+	3.83272i	0.557649	+	0.206347i
$346$	1.70811	−	2.95854i	0.0918287	−	0.159052i
$347$	6.31410	−	10.9363i	0.338959	−	0.587094i	−0.645278	−	0.763948i	$-0.723259\pi$
$347$	6.31410	−	10.9363i	0.338959	−	0.587094i	0.984237	+	0.176854i	$0.0565919\pi$
$348$	9.22894	−	7.66040i	0.494723	−	0.410640i
$349$	−14.8647	−	25.7463i	−0.795687	−	1.37817i	−0.922402	−	0.386231i	$-0.873777\pi$
$349$	−14.8647	−	25.7463i	−0.795687	−	1.37817i	0.126715	−	0.991939i	$-0.459557\pi$
$350$	−0.877984			−0.0469302
$351$	1.80637	+	0.0289402i	0.0964171	+	0.00154471i
$352$	−12.9066			−0.687923
$353$	0.983808	+	1.70401i	0.0523628	+	0.0906950i	0.891019	−	0.453967i	$-0.149991\pi$
$353$	0.983808	+	1.70401i	0.0523628	+	0.0906950i	−0.838656	+	0.544662i	$0.816658\pi$
$354$	−4.03827	+	3.35193i	−0.214632	+	0.178153i
$355$	−2.03832	+	3.53047i	−0.108183	+	0.187378i
$356$	−2.41268	+	4.17888i	−0.127872	+	0.221480i
$357$	−1.02924	−	0.380850i	−0.0544733	−	0.0201567i
$358$	−3.50158	−	6.06491i	−0.185064	−	0.320541i
$359$	−15.9030			−0.839327			−0.419664	−	0.907680i	$-0.637852\pi$
$359$	−15.9030			−0.839327			−0.419664	+	0.907680i	$0.637852\pi$
$360$	6.82983	+	5.85633i	0.359963	+	0.308656i
$361$	−18.5747			−0.977613
$362$	−3.75526	−	6.50430i	−0.197372	−	0.341859i
$363$	−1.31700	−	7.70960i	−0.0691246	−	0.404649i
$364$	0.210976	−	0.365420i	0.0110581	−	0.0191532i
$365$	5.23966	−	9.07535i	0.274256	−	0.475025i
$366$	2.14713	+	12.5691i	0.112232	+	0.656998i
$367$	5.11097	+	8.85246i	0.266790	+	0.462095i	0.968031	−	0.250830i	$-0.0807035\pi$
$367$	5.11097	+	8.85246i	0.266790	+	0.462095i	−0.701241	+	0.712925i	$0.747370\pi$
$368$	10.1884			0.531105
$369$	23.3584	+	20.0290i	1.21599	+	1.04267i
$370$	5.81907			0.302519
$371$	−1.66879	−	2.89042i	−0.0866391	−	0.150063i
$372$	−23.2662	−	8.60919i	−1.20630	−	0.446366i
$373$	−13.4220	+	23.2476i	−0.694964	+	1.20371i	0.275229	+	0.961379i	$0.411246\pi$
$373$	−13.4220	+	23.2476i	−0.694964	+	1.20371i	−0.970193	+	0.242335i	$0.922087\pi$
$374$	0.586554	−	1.01594i	0.0303300	−	0.0525331i
$375$	15.8112	−	13.1239i	0.816484	−	0.677715i
$376$	−4.82824	−	8.36275i	−0.248997	−	0.431276i
$377$	−1.38050			−0.0710992
$378$	1.82925	+	0.0293066i	0.0940863	+	0.00150737i
$379$	7.63132			0.391995			0.195997	−	0.980604i	$-0.437206\pi$
$379$	7.63132			0.391995			0.195997	+	0.980604i	$0.437206\pi$
$380$	−0.900341	−	1.55944i	−0.0461865	−	0.0799974i
$381$	5.70451	−	4.73497i	0.292251	−	0.242580i
$382$	−6.69582	+	11.5975i	−0.342588	+	0.593380i
$383$	−1.83743	+	3.18253i	−0.0938885	+	0.162620i	−0.909144	−	0.416482i	$-0.863263\pi$
$383$	−1.83743	+	3.18253i	−0.0938885	+	0.162620i	0.815256	+	0.579101i	$0.196596\pi$
$384$	18.5169	+	6.85180i	0.944937	+	0.349654i
$385$	−1.40267	−	2.42949i	−0.0714866	−	0.123818i
$386$	8.72070			0.443872
$387$	24.5120	−	8.62629i	1.24601	−	0.438499i
$388$	5.10674			0.259255
$389$	−2.97435	−	5.15172i	−0.150805	−	0.261202i	0.780718	−	0.624883i	$-0.214853\pi$
$389$	−2.97435	−	5.15172i	−0.150805	−	0.261202i	−0.931524	+	0.363681i	$0.881520\pi$
$390$	−0.0812237	−	0.475476i	−0.00411292	−	0.0240766i
$391$	−1.83365	+	3.17598i	−0.0927318	+	0.160616i
$392$	−6.17142	+	10.6892i	−0.311704	+	0.539887i
$393$	−0.136435	−	0.798678i	−0.00688224	−	0.0402880i
$394$	0.241731	+	0.418691i	0.0121783	+	0.0210934i
$395$	−0.919143			−0.0462471
$396$	2.45352	−	13.0952i	0.123294	−	0.658058i
$397$	2.00721			0.100739			0.0503694	−	0.998731i	$-0.483960\pi$
$397$	2.00721			0.100739			0.0503694	+	0.998731i	$0.483960\pi$
$398$	−1.06429	−	1.84340i	−0.0533480	−	0.0924014i
$399$	−0.737221	−	0.272794i	−0.0369072	−	0.0136568i
$400$	3.15397	−	5.46284i	0.157699	−	0.273142i
$401$	−9.42378	+	16.3225i	−0.470601	+	0.815105i	−0.999435	−	0.0336207i	$-0.989296\pi$
$401$	−9.42378	+	16.3225i	−0.470601	+	0.815105i	0.528834	+	0.848725i	$0.322630\pi$
$402$	0.674316	−	0.559710i	0.0336318	−	0.0279158i
$403$	1.42769	+	2.47283i	0.0711183	+	0.123181i
$404$	8.13651			0.404806
$405$	−11.1079	+	8.92338i	−0.551956	+	0.443406i
$406$	−1.39798			−0.0693804
$407$	−9.24966	−	16.0209i	−0.458489	−	0.794126i
$408$	−2.29874	+	1.90805i	−0.113805	+	0.0944626i
$409$	5.41301	−	9.37561i	0.267656	−	0.463594i	−0.700600	−	0.713554i	$-0.747084\pi$
$409$	5.41301	−	9.37561i	0.267656	−	0.463594i	0.968256	+	0.249960i	$0.0804175\pi$
$410$	4.10775	−	7.11482i	0.202867	−	0.351376i
$411$	−6.95145	−	2.57224i	−0.342890	−	0.126879i
$412$	−6.08869	−	10.5459i	−0.299968	−	0.519560i
$413$	−4.16739			−0.205064
$414$	1.12584	−	6.00896i	0.0553320	−	0.295324i
$415$	−13.7743			−0.676153
$416$	−0.881107	−	1.52612i	−0.0431998	−	0.0748243i
$417$	5.22196	+	30.5689i	0.255721	+	1.49696i
$418$	0.420134	−	0.727694i	0.0205494	−	0.0355927i
$419$	−12.0272	+	20.8318i	−0.587569	+	1.01770i	0.406981	+	0.913437i	$0.366581\pi$
$419$	−12.0272	+	20.8318i	−0.587569	+	1.01770i	−0.994550	+	0.104262i	$0.966752\pi$
$420$	0.560361	+	3.28030i	0.0273428	+	0.160062i
$421$	13.1052	+	22.6989i	0.638709	+	1.10628i	0.985716	+	0.168414i	$0.0538646\pi$
$421$	13.1052	+	22.6989i	0.638709	+	1.10628i	−0.347007	+	0.937862i	$0.612802\pi$
$422$	−0.506793			−0.0246703
$423$	14.4257	−	5.07670i	0.701399	−	0.246838i
$424$	−9.08550			−0.441231
$425$	1.13527	+	1.96635i	0.0550688	+	0.0953820i
$426$	2.11637	+	0.783120i	0.102539	+	0.0379423i
$427$	−5.06266	+	8.76879i	−0.244999	+	0.424351i
$428$	12.9327	−	22.4000i	0.625124	−	1.08275i
$429$	−1.17996	+	0.979411i	−0.0569688	+	0.0472864i
$430$	−3.46907	−	6.00860i	−0.167293	−	0.289760i
$431$	11.3886			0.548571			0.274285	−	0.961648i	$-0.411559\pi$
$431$	11.3886			0.548571			0.274285	+	0.961648i	$0.411559\pi$
$432$	−6.75354	+	11.2764i	−0.324930	+	0.542534i
$433$	2.86801			0.137828			0.0689140	−	0.997623i	$-0.478047\pi$
$433$	2.86801			0.137828			0.0689140	+	0.997623i	$0.478047\pi$
$434$	1.44577	+	2.50414i	0.0693991	+	0.120203i
$435$	8.37765	−	6.95379i	0.401678	−	0.333409i
$436$	7.77219	−	13.4618i	0.372220	−	0.644704i
$437$	−1.31340	+	2.27487i	−0.0628284	+	0.108822i
$438$	−5.44030	−	2.01307i	−0.259948	−	0.0961883i
$439$	−0.925549	−	1.60310i	−0.0441740	−	0.0765117i	0.843093	−	0.537768i	$-0.180732\pi$
$439$	−0.925549	−	1.60310i	−0.0441740	−	0.0765117i	−0.887267	+	0.461256i	$0.847399\pi$
$440$	−7.63665			−0.364063
$441$	−14.8390	−	12.7239i	−0.706621	−	0.605902i
$442$	0.160172			0.00761858
$443$	−7.57116	−	13.1136i	−0.359717	−	0.623048i	0.628197	−	0.778055i	$-0.283793\pi$
$443$	−7.57116	−	13.1136i	−0.359717	−	0.623048i	−0.987913	+	0.155007i	$0.950460\pi$
$444$	3.69521	+	21.6314i	0.175367	+	1.02658i
$445$	−2.19013	+	3.79341i	−0.103822	+	0.179825i
$446$	−1.29218	+	2.23812i	−0.0611865	+	0.105978i
$447$	5.87840	+	34.4116i	0.278039	+	1.62761i
$448$	0.868011	+	1.50344i	0.0410097	+	0.0710308i
$449$	31.2187			1.47330			0.736650	−	0.676274i	$-0.236407\pi$
$449$	31.2187			1.47330			0.736650	+	0.676274i	$0.236407\pi$
$450$	−2.87339	−	2.46383i	−0.135453	−	0.116146i
$451$	−26.1177			−1.22984
$452$	13.8927	+	24.0629i	0.653458	+	1.13182i
$453$	−6.59062	−	2.43872i	−0.309654	−	0.114581i
$454$	0.369729	−	0.640389i	0.0173522	−	0.0300550i
$455$	0.191515	−	0.331713i	0.00897835	−	0.0155510i
$456$	−1.64653	+	1.36669i	−0.0771060	+	0.0640011i
$457$	16.9229	+	29.3112i	0.791618	+	1.37112i	0.924965	+	0.380053i	$0.124094\pi$
$457$	16.9229	+	29.3112i	0.791618	+	1.37112i	−0.133347	+	0.991069i	$0.542573\pi$
$458$	3.27946			0.153239
$459$	−2.29966	−	4.13472i	−0.107339	−	0.192992i
$460$	11.1205			0.518495
$461$	1.68147	+	2.91238i	0.0783137	+	0.135643i	0.902522	−	0.430643i	$-0.141713\pi$
$461$	1.68147	+	2.91238i	0.0783137	+	0.135643i	−0.824209	+	0.566286i	$0.808380\pi$
$462$	−1.19490	+	0.991813i	−0.0555916	+	0.0461433i
$463$	−7.80020	+	13.5103i	−0.362506	+	0.627879i	−0.988373	−	0.152051i	$-0.951412\pi$
$463$	−7.80020	+	13.5103i	−0.362506	+	0.627879i	0.625867	+	0.779930i	$0.284745\pi$
$464$	5.02194	−	8.69826i	0.233138	−	0.403806i
$465$	−21.1201	−	7.81507i	−0.979422	−	0.362415i
$466$	−1.36759	−	2.36873i	−0.0633523	−	0.109729i
$467$	9.34986			0.432660			0.216330	−	0.976320i	$-0.430591\pi$
$467$	9.34986			0.432660			0.216330	+	0.976320i	$0.430591\pi$
$468$	1.71592	−	0.603870i	0.0793184	−	0.0279139i
$469$	0.695877			0.0321326
$470$	−2.04160	−	3.53615i	−0.0941719	−	0.163111i
$471$	1.08114	+	6.32888i	0.0498162	+	0.291619i
$472$	−5.67221	+	9.82455i	−0.261084	+	0.452212i
$473$	−11.0285	+	19.1019i	−0.507089	+	0.878304i
$474$	0.0856737	+	0.501525i	0.00393512	+	0.0230358i
$475$	0.813168	+	1.40845i	0.0373107	+	0.0646240i
$476$	−1.10502			−0.0506486
$477$	2.64975	−	14.1426i	0.121324	−	0.647543i
$478$	−3.38156			−0.154669
$479$	−13.6957	−	23.7217i	−0.625773	−	1.08387i	−0.988391	−	0.151932i	$-0.951450\pi$
$479$	−13.6957	−	23.7217i	−0.625773	−	1.08387i	0.362618	−	0.931938i	$-0.381883\pi$
$480$	13.0344	+	4.82311i	0.594936	+	0.220144i
$481$	1.26291	−	2.18743i	0.0575838	−	0.0997381i
$482$	3.08354	−	5.34086i	0.140452	−	0.243269i
$483$	3.73542	−	3.10055i	0.169967	−	0.141080i
$484$	−3.93764	−	6.82018i	−0.178983	−	0.310008i
$485$	4.63568			0.210496
$486$	5.90436	+	5.22921i	0.267827	+	0.237202i
$487$	−17.5409			−0.794852			−0.397426	−	0.917634i	$-0.630096\pi$
$487$	−17.5409			−0.794852			−0.397426	+	0.917634i	$0.630096\pi$
$488$	13.7815	+	23.8703i	0.623860	+	1.08056i
$489$	−7.69469	+	6.38690i	−0.347966	+	0.288826i
$490$	−2.60956	+	4.51989i	−0.117888	+	0.204188i
$491$	20.5740	−	35.6351i	0.928490	−	1.60819i	0.142639	−	0.989775i	$-0.454441\pi$
$491$	20.5740	−	35.6351i	0.928490	−	1.60819i	0.785851	−	0.618416i	$-0.212226\pi$
$492$	29.0566	+	10.7518i	1.30997	+	0.484729i
$493$	1.80765	+	3.13094i	0.0814124	+	0.141010i
$494$	0.114727			0.00516181
$495$	2.22720	−	11.8873i	0.100105	−	0.534293i
$496$	−20.7745			−0.932802
$497$	0.895954	+	1.55184i	0.0401890	+	0.0696094i
$498$	1.28391	+	7.51586i	0.0575332	+	0.336794i
$499$	−21.8450	+	37.8366i	−0.977916	+	1.69380i	−0.307962	+	0.951399i	$0.599647\pi$
$499$	−21.8450	+	37.8366i	−0.977916	+	1.69380i	−0.669955	+	0.742402i	$0.733687\pi$
$500$	10.3450	−	17.9181i	0.462644	−	0.801323i
$501$	1.86362	+	10.9095i	0.0832606	+	0.487399i
$502$	2.99342	+	5.18476i	0.133603	+	0.231407i
$503$	12.2594			0.546619			0.273309	−	0.961926i	$-0.411882\pi$
$503$	12.2594			0.546619			0.273309	+	0.961926i	$0.411882\pi$
$504$	3.73035	−	1.31279i	0.166163	−	0.0584765i
$505$	7.38598			0.328672
$506$	2.59463	+	4.49402i	0.115345	+	0.199784i
$507$	20.9210	+	7.74137i	0.929132	+	0.343806i
$508$	3.73239	−	6.46468i	0.165598	−	0.286824i
$509$	−12.7207	+	22.0328i	−0.563834	+	0.976589i	0.433324	+	0.901238i	$0.357341\pi$
$509$	−12.7207	+	22.0328i	−0.563834	+	0.976589i	−0.997157	+	0.0753501i	$0.975993\pi$
$510$	−0.972014	+	0.806811i	−0.0430415	+	0.0357262i
$511$	−2.30312	−	3.98912i	−0.101884	−	0.176468i
$512$	22.4047			0.990156
$513$	−1.64719	−	2.96159i	−0.0727253	−	0.130758i
$514$	0.718481			0.0316909
$515$	−5.52706	−	9.57314i	−0.243551	−	0.421843i
$516$	20.1330	−	16.7112i	0.886307	−	0.735671i
$517$	−6.49042	+	11.2417i	−0.285448	+	0.494411i
$518$	1.27890	−	2.21512i	0.0561918	−	0.0973270i
$519$	10.9680	+	4.05849i	0.481442	+	0.178148i
$520$	−0.521339	−	0.902986i	−0.0228622	−	0.0395985i
$521$	13.0545			0.571928			0.285964	−	0.958240i	$-0.407686\pi$
$521$	13.0545			0.571928			0.285964	+	0.958240i	$0.407686\pi$
$522$	−4.57518	−	3.92305i	−0.200250	−	0.171707i
$523$	43.2758			1.89232			0.946160	−	0.323698i	$-0.104926\pi$
$523$	43.2758			1.89232			0.946160	+	0.323698i	$0.104926\pi$
$524$	−0.407921	−	0.706539i	−0.0178201	−	0.0308653i
$525$	−0.506106	−	2.96270i	−0.0220883	−	0.129303i
$526$	−3.49026	+	6.04530i	−0.152182	+	0.263588i
$527$	3.73889	−	6.47595i	0.162869	−	0.282097i
$528$	−1.87867	−	10.9976i	−0.0817587	−	0.478608i
$529$	3.38883	+	5.86963i	0.147341	+	0.255201i
$530$	−3.84176			−0.166876
$531$	−13.6387	−	11.6947i	−0.591868	−	0.507506i
$532$	−0.791500			−0.0343159
$533$	−1.78301	−	3.08826i	−0.0772306	−	0.133767i
$534$	2.27400	+	0.841445i	0.0984054	+	0.0364129i
$535$	11.7397	−	20.3338i	0.507553	−	0.879107i
$536$	0.947154	−	1.64052i	0.0409108	−	0.0708596i
$537$	18.4472	−	15.3119i	0.796055	−	0.660758i
$538$	6.65271	+	11.5228i	0.286819	+	0.496785i
$539$	16.5920			0.714669
$540$	−7.37140	+	12.3080i	−0.317215	+	0.529652i
$541$	−31.4712			−1.35305			−0.676527	−	0.736418i	$-0.736516\pi$
$541$	−31.4712			−1.35305			−0.676527	+	0.736418i	$0.736516\pi$
$542$	0.187131	+	0.324121i	0.00803798	+	0.0139222i
$543$	19.7837	−	16.4212i	0.848998	−	0.704703i
$544$	−2.30748	+	3.99667i	−0.0989322	+	0.171356i
$545$	7.05527	−	12.2201i	0.302214	−	0.523451i
$546$	−0.198849	−	0.0735799i	−0.00850994	−	0.00314893i
$547$	1.25167	+	2.16796i	0.0535176	+	0.0926951i	0.891543	−	0.452936i	$-0.149623\pi$
$547$	1.25167	+	2.16796i	0.0535176	+	0.0926951i	−0.838026	+	0.545631i	$0.816290\pi$
$548$	−7.46325			−0.318814
$549$	−41.1760	+	14.4907i	−1.75735	+	0.618449i
$550$	3.21283			0.136996
$551$	1.29477	+	2.24261i	0.0551592	+	0.0955385i
$552$	−2.22524	−	13.0263i	−0.0947123	−	0.554437i
$553$	−0.202007	+	0.349887i	−0.00859023	+	0.0148787i
$554$	3.36201	−	5.82317i	0.142838	−	0.247403i
$555$	3.35435	+	19.6361i	0.142384	+	0.833505i
$556$	15.6129	+	27.0423i	0.662134	+	1.14685i
$557$	−29.5188			−1.25075			−0.625377	−	0.780323i	$-0.715055\pi$
$557$	−29.5188			−1.25075			−0.625377	+	0.780323i	$0.715055\pi$
$558$	−2.29563	+	12.2525i	−0.0971819	+	0.518691i
$559$	−3.01156			−0.127376
$560$	1.39338	+	2.41340i	0.0588810	+	0.101985i
$561$	3.76634	+	1.39366i	0.159015	+	0.0588403i
$562$	−5.33425	+	9.23920i	−0.225012	+	0.389732i
$563$	−15.1969	+	26.3218i	−0.640473	+	1.10933i	0.344855	+	0.938656i	$0.387928\pi$
$563$	−15.1969	+	26.3218i	−0.640473	+	1.10933i	−0.985327	+	0.170675i	$0.945405\pi$
$564$	11.8486	−	9.83481i	0.498916	−	0.414120i
$565$	12.6112	+	21.8433i	0.530558	+	0.918953i
$566$	−2.47914			−0.104206
$567$	0.955561	+	6.18957i	0.0401298	+	0.259937i
$568$	4.87791			0.204672
$569$	20.3487	+	35.2449i	0.853061	+	1.47754i	0.878432	+	0.477867i	$0.158590\pi$
$569$	20.3487	+	35.2449i	0.853061	+	1.47754i	−0.0253717	+	0.999678i	$0.508077\pi$
$570$	−0.696229	+	0.577898i	−0.0291618	+	0.0242055i
$571$	15.7111	−	27.2125i	0.657490	−	1.13881i	−0.323773	−	0.946135i	$-0.604951\pi$
$571$	15.7111	−	27.2125i	0.657490	−	1.13881i	0.981263	−	0.192672i	$-0.0617153\pi$
$572$	−0.772030	+	1.33719i	−0.0322802	+	0.0559109i
$573$	−42.9948	−	15.9093i	−1.79613	−	0.664622i
$574$	−1.80558	−	3.12736i	−0.0753636	−	0.130534i
$575$	−10.0438			−0.418854
$576$	−1.37825	+	7.35617i	−0.0574272	+	0.306507i
$577$	−45.4909			−1.89381			−0.946906	−	0.321509i	$-0.895810\pi$
$577$	−45.4909			−1.89381			−0.946906	+	0.321509i	$0.895810\pi$
$578$	4.09090	+	7.08565i	0.170159	+	0.294724i
$579$	5.02697	+	29.4274i	0.208914	+	1.22296i
$580$	5.48139	−	9.49404i	0.227602	−	0.394219i
$581$	−3.02728	+	5.24341i	−0.125593	+	0.217533i
$582$	−0.432094	−	2.52944i	−0.0179109	−	0.104848i
$583$	6.10665	+	10.5770i	0.252911	+	0.438056i
$584$	−12.5390			−0.518870
$585$	1.55764	−	0.548168i	0.0644005	−	0.0226640i
$586$	−2.62785			−0.108555
$587$	−0.584271	−	1.01199i	−0.0241154	−	0.0417692i	0.853716	−	0.520739i	$-0.174344\pi$
$587$	−0.584271	−	1.01199i	−0.0241154	−	0.0417692i	−0.877831	+	0.478970i	$0.841010\pi$
$588$	−18.4590	−	6.83038i	−0.761237	−	0.281680i
$589$	2.67807	−	4.63856i	0.110348	−	0.191129i
$590$	−2.39847	+	4.15427i	−0.0987433	+	0.171028i
$591$	−1.27350	+	1.05706i	−0.0523849	+	0.0434816i
$592$	9.18839	+	15.9148i	0.377640	+	0.654092i
$593$	−17.0164			−0.698781			−0.349390	−	0.936977i	$-0.613611\pi$
$593$	−17.0164			−0.698781			−0.349390	+	0.936977i	$0.613611\pi$
$594$	−6.69382	−	0.107243i	−0.274651	−	0.00440022i
$595$	−1.00309			−0.0411228
$596$	17.5755	+	30.4417i	0.719921	+	1.24694i
$597$	5.60694	−	4.65399i	0.229477	−	0.190475i
$598$	−0.354260	+	0.613596i	−0.0144868	+	0.0250918i
$599$	9.19407	−	15.9246i	0.375660	−	0.650662i	−0.614766	−	0.788710i	$-0.710750\pi$
$599$	9.19407	−	15.9246i	0.375660	−	0.650662i	0.990426	+	0.138048i	$0.0440829\pi$
$600$	−7.67337	−	2.83937i	−0.313264	−	0.115917i
$601$	−20.8065	−	36.0379i	−0.848716	−	1.47002i	−0.882355	−	0.470584i	$-0.844043\pi$
$601$	−20.8065	−	36.0379i	−0.848716	−	1.47002i	0.0336394	−	0.999434i	$-0.489290\pi$
$602$	−3.04970			−0.124296
$603$	2.27741	+	1.95280i	0.0927432	+	0.0795240i
$604$	−7.07586			−0.287913
$605$	−3.57442	−	6.19108i	−0.145321	−	0.251703i
$606$	−0.688450	−	4.03012i	−0.0279664	−	0.163712i
$607$	16.9517	−	29.3613i	0.688050	−	1.19174i	−0.284418	−	0.958700i	$-0.591800\pi$
$607$	16.9517	−	29.3613i	0.688050	−	1.19174i	0.972468	−	0.233037i	$-0.0748664\pi$
$608$	−1.65279	+	2.86271i	−0.0670294	+	0.116098i
$609$	−0.805852	−	4.71738i	−0.0326548	−	0.191158i
$610$	5.82745	+	10.0934i	0.235947	+	0.408671i
$611$	−1.77235			−0.0717016
$612$	−3.61642	−	3.10095i	−0.146185	−	0.125349i
$613$	23.7087			0.957587			0.478794	−	0.877927i	$-0.341074\pi$
$613$	23.7087			0.957587			0.478794	+	0.877927i	$0.341074\pi$
$614$	5.45044	+	9.44043i	0.219962	+	0.380985i
$615$	26.3764	+	9.76004i	1.06360	+	0.393563i
$616$	−1.67837	+	2.90702i	−0.0676234	+	0.117127i
$617$	−14.4911	+	25.0993i	−0.583388	+	1.01046i	0.411686	+	0.911326i	$0.364940\pi$
$617$	−14.4911	+	25.0993i	−0.583388	+	1.01046i	−0.995074	+	0.0991322i	$0.968393\pi$
$618$	−4.70835	+	3.90812i	−0.189398	+	0.157208i
$619$	−20.7618	−	35.9606i	−0.834489	−	1.44538i	−0.894446	−	0.447176i	$-0.852430\pi$
$619$	−20.7618	−	35.9606i	−0.834489	−	1.44538i	0.0599567	−	0.998201i	$-0.480904\pi$
$620$	−22.6751			−0.910654
$621$	20.9258	+	0.335256i	0.839725	+	0.0134534i
$622$	−5.06457			−0.203071
$623$	0.962683	+	1.66742i	0.0385691	+	0.0668036i
$624$	1.17214	−	0.972923i	0.0469231	−	0.0389481i
$625$	3.15659	−	5.46738i	0.126264	−	0.218695i
$626$	2.60173	−	4.50632i	0.103986	−	0.180109i
$627$	2.69774	+	0.998242i	0.107737	+	0.0398660i
$628$	3.23244	+	5.59875i	0.128988	+	0.223415i
$629$	−6.61472			−0.263746
$630$	1.57736	−	0.555109i	0.0628437	−	0.0221161i
$631$	29.4015			1.17045			0.585227	−	0.810869i	$-0.301005\pi$
$631$	29.4015			1.17045			0.585227	+	0.810869i	$0.301005\pi$
$632$	0.549902	+	0.952458i	0.0218739	+	0.0378867i
$633$	−0.292137	−	1.71014i	−0.0116114	−	0.0679719i
$634$	−7.93253	+	13.7395i	−0.315041	+	0.545667i
$635$	3.38810	−	5.86837i	0.134453	−	0.232879i
$636$	−2.43958	−	14.2811i	−0.0967358	−	0.566282i
$637$	1.13270	+	1.96190i	0.0448793	+	0.0777333i
$638$	5.11566			0.202531
$639$	−1.42262	+	7.59298i	−0.0562781	+	0.300374i
$640$	18.0464			0.713348
$641$	−22.9323	−	39.7199i	−0.905772	−	1.56884i	−0.819878	−	0.572539i	$-0.805959\pi$
$641$	−22.9323	−	39.7199i	−0.905772	−	1.56884i	−0.0858945	−	0.996304i	$-0.527375\pi$
$642$	−12.1893	−	4.51040i	−0.481073	−	0.178011i
$643$	−4.01785	+	6.95911i	−0.158448	+	0.274441i	−0.934309	−	0.356463i	$-0.883982\pi$
$643$	−4.01785	+	6.95911i	−0.158448	+	0.274441i	0.775861	+	0.630904i	$0.217316\pi$
$644$	2.44404	−	4.23319i	0.0963085	−	0.166811i
$645$	18.2759	−	15.1697i	0.719613	−	0.597308i
$646$	−0.150226	−	0.260198i	−0.00591055	−	0.0102374i
$647$	−24.3321			−0.956594			−0.478297	−	0.878198i	$-0.658746\pi$
$647$	−24.3321			−0.956594			−0.478297	+	0.878198i	$0.658746\pi$
$648$	15.8924	+	6.17186i	0.624313	+	0.242454i
$649$	15.2499			0.598609
$650$	0.219334	+	0.379897i	0.00860298	+	0.0149008i
$651$	−7.61667	+	6.32214i	−0.298521	+	0.247784i
$652$	−5.03453	+	8.72007i	−0.197168	+	0.341504i
$653$	−20.2329	+	35.0444i	−0.791774	+	1.37139i	0.133093	+	0.991104i	$0.457509\pi$
$653$	−20.2329	+	35.0444i	−0.791774	+	1.37139i	−0.924867	+	0.380290i	$0.875824\pi$
$654$	−7.32544	−	2.71063i	−0.286448	−	0.105994i
$655$	−0.370293	−	0.641367i	−0.0144686	−	0.0250603i
$656$	25.9447			1.01297
$657$	3.65696	−	19.5184i	0.142672	−	0.761484i
$658$	−1.79479			−0.0699683
$659$	8.64793	+	14.9787i	0.336876	+	0.583486i	0.983843	−	0.179032i	$-0.0572965\pi$
$659$	8.64793	+	14.9787i	0.336876	+	0.583486i	−0.646968	+	0.762517i	$0.723963\pi$
$660$	−2.05055	−	12.0037i	−0.0798175	−	0.467244i
$661$	−6.63319	+	11.4890i	−0.258001	+	0.446871i	−0.965706	−	0.259637i	$-0.916397\pi$
$661$	−6.63319	+	11.4890i	−0.258001	+	0.446871i	0.707705	+	0.706508i	$0.249731\pi$
$662$	−3.70339	+	6.41445i	−0.143936	+	0.249305i
$663$	0.0923295	+	0.540488i	0.00358578	+	0.0209908i
$664$	8.24083	+	14.2735i	0.319806	+	0.553920i
$665$	−0.718490			−0.0278619
$666$	10.4017	−	3.66057i	0.403056	−	0.141844i
$667$	−15.9923			−0.619223
$668$	5.57196	+	9.65091i	0.215585	+	0.373405i
$669$	−8.29726	−	3.07023i	−0.320791	−	0.118702i
$670$	0.400500	−	0.693686i	0.0154727	−	0.0267994i
$671$	18.5260	−	32.0879i	0.715187	−	1.23874i
$672$	4.70067	−	3.90174i	0.181332	−	0.150513i
$673$	10.8176	+	18.7366i	0.416988	+	0.722244i	0.995635	−	0.0933339i	$-0.0297524\pi$
$673$	10.8176	+	18.7366i	0.416988	+	0.722244i	−0.578647	+	0.815578i	$0.696419\pi$
$674$	7.56901			0.291547
$675$	6.65769	−	11.1163i	0.256255	−	0.427868i
$676$	22.4613			0.863895
$677$	1.25217	+	2.16882i	0.0481248	+	0.0833546i	0.889084	−	0.457743i	$-0.151342\pi$
$677$	1.25217	+	2.16882i	0.0481248	+	0.0833546i	−0.840960	+	0.541098i	$0.818009\pi$
$678$	10.7432	−	8.91726i	0.412589	−	0.342465i
$679$	1.01882	−	1.76465i	0.0390988	−	0.0677210i
$680$	−1.36530	+	2.36477i	−0.0523570	+	0.0906850i
$681$	2.37408	+	0.878479i	0.0909749	+	0.0336634i
$682$	−5.29055	−	9.16350i	−0.202586	−	0.350888i
$683$	−21.6614			−0.828850			−0.414425	−	0.910083i	$-0.636017\pi$
$683$	−21.6614			−0.828850			−0.414425	+	0.910083i	$0.636017\pi$
$684$	−2.59035	−	2.22114i	−0.0990447	−	0.0849273i
$685$	−6.77483			−0.258853
$686$	2.37934	+	4.12114i	0.0908436	+	0.157346i
$687$	1.89042	+	11.0663i	0.0721239	+	0.422206i
$688$	10.9554	−	18.9753i	0.417671	−	0.723427i
$689$	−0.833777	+	1.44414i	−0.0317644	+	0.0550175i
$690$	−0.940931	−	5.50812i	−0.0358206	−	0.209691i
$691$	−8.71507	−	15.0949i	−0.331537	−	0.574239i	0.651276	−	0.758841i	$-0.274234\pi$
$691$	−8.71507	−	15.0949i	−0.331537	−	0.574239i	−0.982813	+	0.184602i	$0.940901\pi$
$692$	11.7755			0.447639
$693$	−4.03560	−	3.46038i	−0.153300	−	0.131449i
$694$	−6.38933			−0.242536
$695$	14.1727	+	24.5479i	0.537602	+	0.931154i
$696$	−12.2180	−	4.52101i	−0.463121	−	0.171368i
$697$	−4.66941	+	8.08765i	−0.176866	+	0.306341i
$698$	−7.52088	+	13.0265i	−0.284669	+	0.493062i
$699$	7.20479	−	5.98027i	0.272510	−	0.226195i
$700$	−1.51318	−	2.62091i	−0.0571929	−	0.0990610i
$701$	−17.2279			−0.650688			−0.325344	−	0.945596i	$-0.605480\pi$
$701$	−17.2279			−0.650688			−0.325344	+	0.945596i	$0.605480\pi$
$702$	−0.444293	−	0.798823i	−0.0167688	−	0.0301496i
$703$	−4.73796			−0.178696
$704$	−3.17634	−	5.50158i	−0.119713	−	0.207349i
$705$	10.7557	−	8.92763i	0.405081	−	0.336234i
$706$	0.497765	−	0.862153i	0.0187336	−	0.0324476i
$707$	1.62327	−	2.81159i	0.0610495	−	0.105741i
$708$	−16.9658	−	6.27786i	−0.637615	−	0.235936i
$709$	−21.1868	−	36.6966i	−0.795686	−	1.37817i	−0.922403	−	0.386230i	$-0.873777\pi$
$709$	−21.1868	−	36.6966i	−0.795686	−	1.37817i	0.126716	−	0.991939i	$-0.459556\pi$
$710$	2.06260			0.0774080
$711$	−1.64298	+	0.578200i	−0.0616165	+	0.0216842i
$712$	5.24120			0.196422
$713$	16.5390	+	28.6464i	0.619390	+	1.07282i
$714$	0.0934986	+	0.547332i	0.00349910	+	0.0204834i
$715$	−0.700816	+	1.21385i	−0.0262090	+	0.0453954i
$716$	12.0698	−	20.9054i	0.451068	−	0.781273i
$717$	−1.94927	−	11.4108i	−0.0727968	−	0.426146i
$718$	4.02311	+	6.96824i	0.150141	+	0.260052i
$719$	18.7145			0.697935			0.348967	−	0.937135i	$-0.386532\pi$
$719$	18.7145			0.697935			0.348967	+	0.937135i	$0.386532\pi$
$720$	−2.21245	+	11.8085i	−0.0824530	+	0.440078i
$721$	−4.85890			−0.180955
$722$	4.69899	+	8.13889i	0.174878	+	0.302898i
$723$	19.7998	+	7.32653i	0.736364	+	0.272476i
$724$	12.9442	−	22.4200i	0.481067	−	0.833233i
$725$	−4.95067	+	8.57481i	−0.183863	+	0.318460i
$726$	−3.04495	+	2.52744i	−0.113009	+	0.0938019i
$727$	9.01179	+	15.6089i	0.334229	+	0.578901i	0.983336	−	0.181795i	$-0.0581909\pi$
$727$	9.01179	+	15.6089i	0.334229	+	0.578901i	−0.649108	+	0.760697i	$0.724858\pi$
$728$	−0.458315			−0.0169863
$729$	−14.2421	+	22.9382i	−0.527486	+	0.849564i
$730$	−5.30208			−0.196239
$731$	3.94340	+	6.83017i	0.145852	+	0.252623i
$732$	−33.8201	+	28.0720i	−1.25003	+	1.03757i
$733$	18.0225	−	31.2159i	0.665677	−	1.15299i	−0.313424	−	0.949613i	$-0.601476\pi$
$733$	18.0225	−	31.2159i	0.665677	−	1.15299i	0.979101	−	0.203374i	$-0.0651906\pi$
$734$	2.58593	−	4.47896i	0.0954485	−	0.165322i
$735$	−16.7563	−	6.20033i	−0.618066	−	0.228703i
$736$	−10.2071	−	17.6793i	−0.376240	−	0.651666i
$737$	−2.54645			−0.0937995
$738$	2.86696	−	15.3019i	0.105534	−	0.563269i
$739$	12.0906			0.444758			0.222379	−	0.974960i	$-0.428618\pi$
$739$	12.0906			0.444758			0.222379	+	0.974960i	$0.428618\pi$
$740$	10.0290	+	17.3708i	0.368674	+	0.638562i
$741$	0.0661333	+	0.387138i	0.00242947	+	0.0142219i
$742$	−0.844335	+	1.46243i	−0.0309965	+	0.0536875i
$743$	1.65810	−	2.87191i	0.0608297	−	0.105360i	−0.834007	−	0.551754i	$-0.813959\pi$
$743$	1.65810	−	2.87191i	0.0608297	−	0.105360i	0.894836	+	0.446394i	$0.147292\pi$
$744$	4.53735	+	26.5612i	0.166347	+	0.973781i
$745$	15.9543	+	27.6337i	0.584521	+	1.01242i
$746$	13.5819			0.497269
$747$	−24.6217	+	8.66491i	−0.900860	+	0.317032i
$748$	4.04364			0.147850
$749$	−5.16026	−	8.93784i	−0.188552	−	0.326582i
$750$	−9.75040	−	3.60794i	−0.356034	−	0.131743i
$751$	22.1208	−	38.3143i	0.807199	−	1.39811i	−0.107598	−	0.994194i	$-0.534316\pi$
$751$	22.1208	−	38.3143i	0.807199	−	1.39811i	0.914797	−	0.403914i	$-0.132351\pi$
$752$	6.44742	−	11.1673i	0.235113	−	0.407228i
$753$	−15.7701	+	13.0898i	−0.574694	+	0.477019i
$754$	0.349236	+	0.604894i	0.0127184	+	0.0220289i
$755$	−6.42317			−0.233763
$756$	3.06517	+	5.51107i	0.111479	+	0.200436i
$757$	28.9638			1.05271			0.526354	−	0.850265i	$-0.323559\pi$
$757$	28.9638			1.05271			0.526354	+	0.850265i	$0.323559\pi$
$758$	−1.93056	−	3.34383i	−0.0701211	−	0.121453i
$759$	−13.6691	+	11.3459i	−0.496158	+	0.411831i
$760$	−0.977933	+	1.69383i	−0.0354733	+	0.0614416i
$761$	−0.782684	+	1.35565i	−0.0283723	+	0.0491422i	−0.879863	−	0.475228i	$-0.842366\pi$
$761$	−0.782684	+	1.35565i	−0.0283723	+	0.0491422i	0.851491	+	0.524370i	$0.175699\pi$
$762$	−3.51785	−	1.30171i	−0.127438	−	0.0471559i
$763$	−3.10118	−	5.37141i	−0.112270	−	0.194458i
$764$	−46.1603			−1.67002
$765$	−3.28284	−	2.81492i	−0.118691	−	0.101774i
$766$	1.85933			0.0671802
$767$	1.04108	+	1.80320i	0.0375911	+	0.0651097i
$768$	−0.226919	−	1.32836i	−0.00818823	−	0.0479331i
$769$	−9.57131	+	16.5780i	−0.345150	+	0.597818i	−0.985381	−	0.170365i	$-0.945505\pi$
$769$	−9.57131	+	16.5780i	−0.345150	+	0.597818i	0.640231	+	0.768183i	$0.278839\pi$
$770$	−0.709690	+	1.22922i	−0.0255755	+	0.0442980i
$771$	0.414163	+	2.42447i	0.0149157	+	0.0873151i
$772$	15.0299	+	26.0325i	0.540938	+	0.936932i
$773$	−48.8106			−1.75559			−0.877797	−	0.479033i	$-0.840988\pi$
$773$	−48.8106			−1.75559			−0.877797	+	0.479033i	$0.840988\pi$
$774$	−9.98079	−	8.55818i	−0.358752	−	0.307617i
$775$	20.4797			0.735651
$776$	−2.77342	−	4.80371i	−0.0995600	−	0.172443i
$777$	8.21201	+	3.03868i	0.294604	+	0.109012i
$778$	−1.50489	+	2.60655i	−0.0539530	+	0.0934493i
$779$	−3.34458	+	5.79298i	−0.119832	+	0.207555i
$780$	1.27938	−	1.06193i	0.0458090	−	0.0380233i
$781$	−3.27859	−	5.67869i	−0.117317	−	0.203199i
$782$	1.85550			0.0663525
$783$	10.6008	−	17.7001i	0.378840	−	0.632548i
$784$	−16.4821			−0.588647
$785$	2.93427	+	5.08231i	0.104729	+	0.181395i
$786$	−0.315443	+	0.261830i	−0.0112515	+	0.00933918i
$787$	−10.1648	+	17.6060i	−0.362338	+	0.627587i	−0.988345	−	0.152230i	$-0.951355\pi$
$787$	−10.1648	+	17.6060i	−0.362338	+	0.627587i	0.626007	+	0.779817i	$0.284688\pi$
$788$	−0.833236	+	1.44321i	−0.0296828	+	0.0514121i
$789$	−22.4114	−	8.29288i	−0.797867	−	0.295234i
$790$	0.232524	+	0.402743i	0.00827282	+	0.0143289i
$791$	11.0867			0.394196
$792$	−13.6506	+	4.80395i	−0.485053	+	0.170701i
$793$	5.05892			0.179648
$794$	−0.507780	−	0.879500i	−0.0180204	−	0.0312123i
$795$	−2.21455	−	12.9638i	−0.0785421	−	0.459778i
$796$	3.66855	−	6.35411i	0.130028	−	0.225215i
$797$	0.152481	−	0.264105i	0.00540116	−	0.00935509i	−0.863312	−	0.504670i	$-0.831614\pi$
$797$	0.152481	−	0.264105i	0.00540116	−	0.00935509i	0.868713	+	0.495315i	$0.164947\pi$
$798$	0.0669707	+	0.392040i	0.00237074	+	0.0138781i
$799$	2.32075	+	4.01966i	0.0821022	+	0.142205i
$800$	−12.6391			−0.446861
$801$	−1.52858	+	8.15849i	−0.0540096	+	0.288266i
$802$	9.53605			0.336730
$803$	8.42788	+	14.5975i	0.297414	+	0.515135i
$804$	2.83298	+	1.04829i	0.0999115	+	0.0369702i
$805$	2.21859	−	3.84272i	0.0781951	−	0.135438i
$806$	0.722350	−	1.25115i	0.0254437	−	0.0440698i
$807$	−35.0481	+	29.0914i	−1.23375	+	1.02406i
$808$	−4.41886	−	7.65369i	−0.155455	−	0.269256i
$809$	−54.7843			−1.92611			−0.963056	−	0.269300i	$-0.913208\pi$
$809$	−54.7843			−1.92611			−0.963056	+	0.269300i	$0.913208\pi$
$810$	6.72003	+	2.60974i	0.236118	+	0.0916970i
$811$	−16.3643			−0.574627			−0.287313	−	0.957837i	$-0.592762\pi$
$811$	−16.3643			−0.574627			−0.287313	+	0.957837i	$0.592762\pi$
$812$	−2.40938	−	4.17316i	−0.0845525	−	0.146449i
$813$	−0.985855	+	0.818300i	−0.0345754	+	0.0286990i
$814$	−4.67993	+	8.10588i	−0.164031	+	0.284111i
$815$	−4.57014	+	7.91571i	−0.160085	+	0.277275i
$816$	−3.74139	−	1.38443i	−0.130975	−	0.0484646i
$817$	2.82456	+	4.89228i	0.0988188	+	0.171159i
$818$	−5.47750			−0.191516
$819$	0.133666	−	0.713417i	0.00467066	−	0.0249288i
$820$	28.3184			0.988920
$821$	−23.8002	−	41.2232i	−0.830634	−	1.43870i	−0.897536	−	0.440940i	$-0.854645\pi$
$821$	−23.8002	−	41.2232i	−0.830634	−	1.43870i	0.0669027	−	0.997760i	$-0.478688\pi$
$822$	0.631484	+	3.69665i	0.0220255	+	0.128935i
$823$	17.1094	−	29.6344i	0.596397	−	1.03299i	−0.396951	−	0.917840i	$-0.629932\pi$
$823$	17.1094	−	29.6344i	0.596397	−	1.03299i	0.993348	−	0.115151i	$-0.0367351\pi$
$824$	−6.61342	+	11.4548i	−0.230389	+	0.399046i
$825$	1.85201	+	10.8415i	0.0644787	+	0.377452i
$826$	1.05426	+	1.82603i	0.0366824	+	0.0635358i
$827$	−50.4003			−1.75259			−0.876295	−	0.481776i	$-0.839992\pi$
$827$	−50.4003			−1.75259			−0.876295	+	0.481776i	$0.839992\pi$
$828$	19.8780	−	6.99550i	0.690808	−	0.243110i
$829$	49.4572			1.71772			0.858861	−	0.512210i	$-0.171173\pi$
$829$	49.4572			1.71772			0.858861	+	0.512210i	$0.171173\pi$
$830$	3.48460	+	6.03550i	0.120952	+	0.209495i
$831$	21.5879	+	7.98817i	0.748877	+	0.277106i
$832$	0.433685	−	0.751164i	0.0150353	−	0.0260419i
$833$	2.96637	−	5.13790i	0.102779	−	0.178018i
$834$	12.0734	−	10.0214i	0.418067	−	0.347012i
$835$	5.05799	+	8.76069i	0.175039	+	0.303176i
$836$	2.89636			0.100173
$837$	−42.6686	−	0.683601i	−1.47484	−	0.0236287i
$838$	12.1705			0.420424
$839$	11.2660	+	19.5133i	0.388947	+	0.673675i	0.992308	−	0.123793i	$-0.0395058\pi$
$839$	11.2660	+	19.5133i	0.388947	+	0.673675i	−0.603362	+	0.797468i	$0.706172\pi$
$840$	2.78132	−	2.30861i	0.0959647	−	0.0796546i
$841$	6.61726	−	11.4614i	0.228181	−	0.395222i
$842$	6.63068	−	11.4847i	0.228508	−	0.395788i
$843$	−34.2520	−	12.6742i	−1.17970	−	0.436524i
$844$	−0.873444	−	1.51285i	−0.0300652	−	0.0520745i
$845$	20.3894			0.701417
$846$	−5.87385	−	5.03662i	−0.201947	−	0.173162i
$847$	−3.14231			−0.107971
$848$	−6.06620	−	10.5070i	−0.208314	−	0.360810i
$849$	−1.42908	−	8.36570i	−0.0490459	−	0.287110i
$850$	0.574400	−	0.994889i	0.0197017	−	0.0341244i
$851$	14.6301	−	25.3401i	0.501514	−	0.868648i
$852$	1.30979	+	7.66736i	0.0448725	+	0.262680i
$853$	22.9594	+	39.7668i	0.786114	+	1.36159i	0.928331	+	0.371753i	$0.121243\pi$
$853$	22.9594	+	39.7668i	0.786114	+	1.36159i	−0.142218	+	0.989835i	$0.545423\pi$
$854$	5.12298			0.175305
$855$	−2.35142	−	2.01625i	−0.0804167	−	0.0689545i
$856$	−28.0944			−0.960247
$857$	19.4317	+	33.6567i	0.663775	+	1.14969i	0.979616	+	0.200879i	$0.0643799\pi$
$857$	19.4317	+	33.6567i	0.663775	+	1.14969i	−0.315841	+	0.948812i	$0.602287\pi$
$858$	0.727654	+	0.269253i	0.0248417	+	0.00919216i
$859$	7.41670	−	12.8461i	0.253055	−	0.438304i	−0.711311	−	0.702878i	$-0.751898\pi$
$859$	7.41670	−	12.8461i	0.253055	−	0.438304i	0.964365	+	0.264574i	$0.0852314\pi$
$860$	11.9577	−	20.7113i	0.407754	−	0.706251i
$861$	9.51226	−	7.89556i	0.324177	−	0.269080i
$862$	−2.88108	−	4.99017i	−0.0981299	−	0.169966i
$863$	19.2243			0.654404			0.327202	−	0.944954i	$-0.393894\pi$
$863$	19.2243			0.654404			0.327202	+	0.944954i	$0.393894\pi$
$864$	26.3332	+	0.421888i	0.895873	+	0.0143529i
$865$	10.6893			0.363449
$866$	−0.725546	−	1.25668i	−0.0246551	−	0.0427038i
$867$	−21.5519	+	17.8889i	−0.731941	+	0.607541i
$868$	−4.98349	+	8.63165i	−0.169151	+	0.292977i
$869$	0.739212	−	1.28035i	0.0250761	−	0.0434330i
$870$	−5.16632	−	1.91169i	−0.175155	−	0.0648124i
$871$	−0.173841	−	0.301101i	−0.00589037	−	0.0102024i
$872$	−16.8840			−0.571764
$873$	8.28634	−	2.91614i	0.280450	−	0.0986965i
$874$	1.32905			0.0449557
$875$	−4.12777	−	7.14951i	−0.139544	−	0.241698i
$876$	−3.36691	−	19.7096i	−0.113757	−	0.665925i
$877$	−18.0630	+	31.2860i	−0.609944	+	1.05645i	0.381305	+	0.924449i	$0.375475\pi$
$877$	−18.0630	+	31.2860i	−0.609944	+	1.05645i	−0.991249	+	0.132005i	$0.957859\pi$
$878$	−0.468288	+	0.811098i	−0.0158040	+	0.0273732i
$879$	−1.51480	−	8.86750i	−0.0510930	−	0.299093i
$880$	−5.09883	−	8.83144i	−0.171882	−	0.297708i
$881$	35.2464			1.18748			0.593741	−	0.804656i	$-0.297650\pi$
$881$	35.2464			1.18748			0.593741	+	0.804656i	$0.297650\pi$
$882$	−1.82131	+	9.72093i	−0.0613268	+	0.327321i
$883$	2.52838			0.0850868			0.0425434	−	0.999095i	$-0.486454\pi$
$883$	2.52838			0.0850868			0.0425434	+	0.999095i	$0.486454\pi$
$884$	0.276051	+	0.478135i	0.00928461	+	0.0160814i
$885$	−15.4009	−	5.69878i	−0.517695	−	0.191562i
$886$	−3.83068	+	6.63494i	−0.128694	+	0.222905i
$887$	18.1205	−	31.3856i	0.608427	−	1.05383i	−0.383073	−	0.923718i	$-0.625134\pi$
$887$	18.1205	−	31.3856i	0.608427	−	1.05383i	0.991500	−	0.130108i	$-0.0415325\pi$
$888$	18.3410	−	15.2237i	0.615482	−	0.510875i
$889$	−1.48926	−	2.57948i	−0.0499482	−	0.0865128i
$890$	2.21622			0.0742879
$891$	−3.49671	−	22.6497i	−0.117144	−	0.758793i
$892$	−8.90816			−0.298267
$893$	1.66230	+	2.87918i	0.0556266	+	0.0963481i
$894$	13.5911	−	11.2811i	0.454553	−	0.377298i
$895$	10.9564	−	18.9771i	0.366233	−	0.634334i
$896$	3.96621	−	6.86967i	0.132502	−	0.229500i
$897$	−2.27475	−	0.841724i	−0.0759517	−	0.0281043i
$898$	−7.89765	−	13.6791i	−0.263548	−	0.456479i
$899$	32.6089			1.08757
$900$	2.40267	−	12.8238i	0.0800892	−	0.427461i
$901$	4.36706			0.145488
$902$	6.60723	+	11.4441i	0.219997	+	0.381045i
$903$	−1.75797	−	10.2910i	−0.0585017	−	0.342463i
$904$	15.0900	−	26.1366i	0.501885	−	0.869291i
$905$	11.7502	−	20.3519i	0.390590	−	0.676521i
$906$	0.598706	+	3.50477i	0.0198907	+	0.116438i
$907$	−18.1814	−	31.4911i	−0.603703	−	1.04564i	−0.992255	−	0.124217i	$-0.960358\pi$
$907$	−18.1814	−	31.4911i	−0.603703	−	1.04564i	0.388552	−	0.921427i	$-0.372975\pi$
$908$	2.54887			0.0845873
$909$	13.2025	−	4.64626i	0.437900	−	0.154107i
$910$	−0.193797			−0.00642429
$911$	−17.4404	−	30.2077i	−0.577827	−	1.00082i	−0.995728	−	0.0923327i	$-0.970568\pi$
$911$	−17.4404	−	30.2077i	−0.577827	−	1.00082i	0.417902	−	0.908492i	$-0.362766\pi$
$912$	−2.67987	−	0.991630i	−0.0887393	−	0.0328361i
$913$	11.0778	−	19.1874i	0.366623	−	0.635009i
$914$	8.56224	−	14.8302i	0.283214	−	0.490540i
$915$	−30.7005	+	25.4826i	−1.01493	+	0.842430i
$916$	5.65206	+	9.78965i	0.186749	+	0.323459i
$917$	−0.325529			−0.0107499
$918$	−1.22995	+	2.05364i	−0.0405944	+	0.0677803i
$919$	−24.0717			−0.794052			−0.397026	−	0.917807i	$-0.629958\pi$
$919$	−24.0717			−0.794052			−0.397026	+	0.917807i	$0.629958\pi$
$920$	−6.03942	−	10.4606i	−0.199114	−	0.344875i
$921$	−28.7143	+	23.8340i	−0.946167	+	0.785357i
$922$	0.850750	−	1.47354i	0.0280179	−	0.0485285i
$923$	0.447646	−	0.775345i	0.0147344	−	0.0255208i
$924$	−5.02008	−	1.85758i	−0.165148	−	0.0611098i
$925$	−9.05799	−	15.6889i	−0.297825	−	0.515848i
$926$	7.89313			0.259384
$927$	−15.9018	−	13.6352i	−0.522284	−	0.447840i
$928$	−20.1248			−0.660628
$929$	8.25710	+	14.3017i	0.270907	+	0.469224i	0.969094	−	0.246691i	$-0.0793432\pi$
$929$	8.25710	+	14.3017i	0.270907	+	0.469224i	−0.698188	+	0.715915i	$0.746010\pi$
$930$	1.91860	+	11.2313i	0.0629133	+	0.368288i
$931$	2.12474	−	3.68015i	0.0696354	−	0.120612i
$932$	4.71400	−	8.16489i	0.154412	−	0.267450i
$933$	−2.91943	−	17.0901i	−0.0955778	−	0.559504i
$934$	−2.36531	−	4.09684i	−0.0773954	−	0.134053i
$935$	3.67065			0.120043
$936$	−1.49994	−	1.28614i	−0.0490269	−	0.0420388i
$937$	8.94166			0.292111			0.146056	−	0.989276i	$-0.453342\pi$
$937$	8.94166			0.292111			0.146056	+	0.989276i	$0.453342\pi$
$938$	−0.176042	−	0.304914i	−0.00574797	−	0.00995578i
$939$	16.7060	+	6.18172i	0.545181	+	0.201733i
$940$	7.03728	−	12.1889i	0.229531	−	0.397559i
$941$	−9.17168	+	15.8858i	−0.298988	+	0.517863i	−0.975905	−	0.218197i	$-0.929983\pi$
$941$	−9.17168	+	15.8858i	−0.298988	+	0.517863i	0.676916	+	0.736060i	$0.263316\pi$
$942$	2.49963	−	2.07479i	0.0814424	−	0.0676005i
$943$	−20.6551	−	35.7757i	−0.672624	−	1.16502i
$944$	−15.1488			−0.493053
$945$	2.78244	+	5.00272i	0.0905127	+	0.162739i
$946$	11.1599			0.362838
$947$	−0.438029	−	0.758689i	−0.0142340	−	0.0246541i	0.858821	−	0.512276i	$-0.171198\pi$
$947$	−0.438029	−	0.758689i	−0.0142340	−	0.0246541i	−0.873055	+	0.487622i	$0.837864\pi$
$948$	−1.34947	+	1.12011i	−0.0438287	+	0.0363796i
$949$	−1.15071	+	1.99309i	−0.0373536	+	0.0646983i
$950$	0.411428	−	0.712614i	0.0133485	−	0.0231203i
$951$	−50.9358	−	18.8477i	−1.65171	−	0.611180i
$952$	0.600127	+	1.03945i	0.0194502	+	0.0336888i
$953$	7.13923			0.231262			0.115631	−	0.993292i	$-0.463111\pi$
$953$	7.13923			0.231262			0.115631	+	0.993292i	$0.463111\pi$
$954$	−6.86720	+	2.41672i	−0.222334	+	0.0782441i
$955$	−41.9024			−1.35593
$956$	−5.82802	−	10.0944i	−0.188492	−	0.326477i
$957$	2.94888	+	17.2625i	0.0953237	+	0.558016i
$958$	−6.92944	+	12.0021i	−0.223880	+	0.387772i
$959$	−1.48896	+	2.57895i	−0.0480810	+	0.0832787i
$960$	1.15189	+	6.74304i	0.0371770	+	0.217631i
$961$	−18.2237	−	31.5644i	−0.587861	−	1.01821i
$962$	−1.27796			−0.0412030
$963$	8.19362	−	43.7319i	0.264036	−	1.40924i
$964$	21.2576			0.684662
$965$	13.6435	+	23.6313i	0.439200	+	0.760717i
$966$	−2.30355	−	0.852382i	−0.0741156	−	0.0274249i
$967$	18.9211	−	32.7724i	0.608462	−	1.05389i	−0.383032	−	0.923735i	$-0.625120\pi$
$967$	18.9211	−	32.7724i	0.608462	−	1.05389i	0.991494	−	0.130153i	$-0.0415467\pi$
$968$	−4.27698	+	7.40795i	−0.137467	+	0.238101i
$969$	0.791426	−	0.656915i	0.0254243	−	0.0211032i
$970$	−1.17273	−	2.03123i	−0.0376541	−	0.0652187i
$971$	53.3346			1.71159			0.855794	−	0.517316i	$-0.173069\pi$
$971$	53.3346			1.71159			0.855794	+	0.517316i	$0.173069\pi$
$972$	−5.43394	+	26.6378i	−0.174294	+	0.854408i
$973$	12.4594			0.399430
$974$	4.43746	+	7.68590i	0.142185	+	0.246272i
$975$	−1.15550	+	0.959116i	−0.0370058	+	0.0307163i
$976$	−18.4032	+	31.8753i	−0.589073	+	1.02030i
$977$	−20.6159	+	35.7078i	−0.659561	+	1.14239i	0.321168	+	0.947022i	$0.395925\pi$
$977$	−20.6159	+	35.7078i	−0.659561	+	1.14239i	−0.980729	+	0.195371i	$0.937409\pi$
$978$	4.74515	+	1.75584i	0.151733	+	0.0561457i
$979$	−3.52278	−	6.10163i	−0.112588	−	0.195009i
$980$	−17.9900			−0.574670
$981$	4.92415	−	26.2817i	0.157216	−	0.839112i
$982$	−20.8191			−0.664363
$983$	1.90978	+	3.30784i	0.0609126	+	0.105504i	0.894874	−	0.446320i	$-0.147266\pi$
$983$	1.90978	+	3.30784i	0.0609126	+	0.105504i	−0.833961	+	0.551823i	$0.813932\pi$
$984$	−5.66658	−	33.1716i	−0.180644	−	1.05747i
$985$	−0.756377	+	1.31008i	−0.0241002	+	0.0417427i
$986$	0.914592	−	1.58412i	0.0291266	−	0.0504487i
$987$	−1.03459	−	6.05641i	−0.0329315	−	0.192778i
$988$	0.197729	+	0.342476i	0.00629059	+	0.0108956i
$989$	−34.8873			−1.10935
$990$	−5.77210	+	2.03133i	−0.183449	+	0.0645598i
$991$	−13.0865			−0.415705			−0.207852	−	0.978160i	$-0.566647\pi$
$991$	−13.0865			−0.415705			−0.207852	+	0.978160i	$0.566647\pi$
$992$	20.8128	+	36.0488i	0.660806	+	1.14455i
$993$	−23.7799	−	8.79927i	−0.754633	−	0.279236i
$994$	0.453314	−	0.785163i	0.0143783	−	0.0249039i
$995$	3.33015	−	5.76800i	0.105573	−	0.182858i
$996$	−20.2231	+	16.7860i	−0.640795	+	0.531886i
$997$	−15.1796	−	26.2918i	−0.480741	−	0.832668i	0.519015	−	0.854765i	$-0.326299\pi$
$997$	−15.1796	−	26.2918i	−0.480741	−	0.832668i	−0.999756	+	0.0220971i	$0.992966\pi$
$998$	22.1053			0.699730
$999$	18.3483	+	32.9896i	0.580514	+	1.04374i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.a.202.16	✓	66
9.4	even	3		5427.2.a.p.1.18		33
9.5	odd	6		5427.2.a.o.1.16		33
9.7	even	3	inner	603.2.e.a.403.16	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.a.202.16	✓	66	1.1	even	1	trivial
603.2.e.a.403.16	yes	66	9.7	even	3	inner
5427.2.a.o.1.16		33	9.5	odd	6
5427.2.a.p.1.18		33	9.4	even	3

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)

\(f(q)\)	\(=\)	\(q+(-0.252979 - 0.438172i) q^{2} +(1.33275 - 1.10624i) q^{3} +(0.872004 - 1.51035i) q^{4} +(0.791568 - 1.37104i) q^{5} +(-0.821881 - 0.304120i) q^{6} +(-0.347938 - 0.602647i) q^{7} -1.89431 q^{8} +(0.552467 - 2.94869i) q^{9} +O(q^{10})\)	\(q+(-0.252979 - 0.438172i) q^{2} +(1.33275 - 1.10624i) q^{3} +(0.872004 - 1.51035i) q^{4} +(0.791568 - 1.37104i) q^{5} +(-0.821881 - 0.304120i) q^{6} +(-0.347938 - 0.602647i) q^{7} -1.89431 q^{8} +(0.552467 - 2.94869i) q^{9} -0.800999 q^{10} +(1.27322 + 2.20529i) q^{11} +(-0.508648 - 2.97758i) q^{12} +(-0.173841 + 0.301101i) q^{13} +(-0.176042 + 0.304914i) q^{14} +(-0.461729 - 2.70292i) q^{15} +(-1.26479 - 2.19068i) q^{16} +0.910521 q^{17} +(-1.43180 + 0.503880i) q^{18} +0.652184 q^{19} +(-1.38050 - 2.39110i) q^{20} +(-1.13039 - 0.418277i) q^{21} +(0.644196 - 1.11578i) q^{22} +(-2.01385 + 3.48809i) q^{23} +(-2.52465 + 2.09556i) q^{24} +(1.24684 + 2.15959i) q^{25} +0.175912 q^{26} +(-2.52566 - 4.54104i) q^{27} -1.21361 q^{28} +(1.98529 + 3.43862i) q^{29} +(-1.06754 + 0.886097i) q^{30} +(4.10632 - 7.11235i) q^{31} +(-2.53424 + 4.38942i) q^{32} +(4.13647 + 1.53061i) q^{33} +(-0.230342 - 0.398965i) q^{34} -1.10167 q^{35} +(-3.97182 - 3.40569i) q^{36} -7.26476 q^{37} +(-0.164989 - 0.285768i) q^{38} +(0.101403 + 0.593603i) q^{39} +(-1.49947 + 2.59716i) q^{40} +(-5.12828 + 8.88243i) q^{41} +(0.102687 + 0.601119i) q^{42} +(4.33092 + 7.50138i) q^{43} +4.44102 q^{44} +(-3.60545 - 3.09154i) q^{45} +2.03784 q^{46} +(2.54881 + 4.41468i) q^{47} +(-4.10907 - 1.52048i) q^{48} +(3.25788 - 5.64281i) q^{49} +(0.630847 - 1.09266i) q^{50} +(1.21350 - 1.00726i) q^{51} +(0.303179 + 0.525122i) q^{52} +4.79621 q^{53} +(-1.35082 + 2.25546i) q^{54} +4.03137 q^{55} +(0.659102 + 1.14160i) q^{56} +(0.869201 - 0.721472i) q^{57} +(1.00447 - 1.73979i) q^{58} +(2.99434 - 5.18635i) q^{59} +(-4.48500 - 1.65958i) q^{60} +(-7.27522 - 12.6011i) q^{61} -4.15524 q^{62} +(-1.96924 + 0.693020i) q^{63} -2.49472 q^{64} +(0.275214 + 0.476684i) q^{65} +(-0.375766 - 2.19970i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(0.793978 - 1.37521i) q^{68} +(1.17470 + 6.87656i) q^{69} +(0.278698 + 0.482720i) q^{70} -2.57503 q^{71} +(-1.04654 + 5.58573i) q^{72} +6.61933 q^{73} +(1.83783 + 3.18321i) q^{74} +(4.05075 + 1.49890i) q^{75} +(0.568707 - 0.985029i) q^{76} +(0.886006 - 1.53461i) q^{77} +(0.234447 - 0.194601i) q^{78} +(-0.290292 - 0.502800i) q^{79} -4.00467 q^{80} +(-8.38956 - 3.25811i) q^{81} +5.18937 q^{82} +(-4.35031 - 7.53496i) q^{83} +(-1.61745 + 1.34255i) q^{84} +(0.720740 - 1.24836i) q^{85} +(2.19126 - 3.79538i) q^{86} +(6.44984 + 2.38663i) q^{87} +(-2.41187 - 4.17749i) q^{88} -2.76682 q^{89} +(-0.442526 + 2.36190i) q^{90} +0.241943 q^{91} +(3.51217 + 6.08325i) q^{92} +(-2.39525 - 14.0216i) q^{93} +(1.28959 - 2.23364i) q^{94} +(0.516248 - 0.894168i) q^{95} +(1.47824 + 8.65350i) q^{96} +(1.46408 + 2.53586i) q^{97} -3.29669 q^{98} +(7.20612 - 2.53599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

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