LMFDB - Embedded newform 287.2.h.d.57.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(57,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("287.57");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			57.2
Character	$\chi$	$=$	287.57
Dual form			287.2.h.d.141.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.514559 + 1.58365i) q^{2} +1.87936 q^{3} +(-0.625144 - 0.454194i) q^{4} +(2.01594 + 1.46467i) q^{5} +(-0.967042 + 2.97625i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-1.65331 + 1.20120i) q^{8} +0.531995 q^{9} +O(q^{10})$	\(q+(-0.514559 + 1.58365i) q^{2} +1.87936 q^{3} +(-0.625144 - 0.454194i) q^{4} +(2.01594 + 1.46467i) q^{5} +(-0.967042 + 2.97625i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-1.65331 + 1.20120i) q^{8} +0.531995 q^{9} +(-3.35684 + 2.43889i) q^{10} +(1.45518 - 1.05725i) q^{11} +(-1.17487 - 0.853594i) q^{12} +(0.0327857 - 0.100904i) q^{13} +1.66515 q^{14} +(3.78867 + 2.75263i) q^{15} +(-1.52912 - 4.70616i) q^{16} +(-0.0731486 + 0.0531455i) q^{17} +(-0.273743 + 0.842494i) q^{18} +(-0.0825630 - 0.254103i) q^{19} +(-0.595011 - 1.83125i) q^{20} +(-0.580754 - 1.78738i) q^{21} +(0.925541 + 2.84852i) q^{22} +(1.09142 - 3.35904i) q^{23} +(-3.10716 + 2.25749i) q^{24} +(0.373679 + 1.15007i) q^{25} +(0.142927 + 0.103842i) q^{26} -4.63827 q^{27} +(-0.238784 + 0.734901i) q^{28} +(5.88411 + 4.27506i) q^{29} +(-6.30871 + 4.58354i) q^{30} +(-2.48942 + 1.80867i) q^{31} +4.15253 q^{32} +(2.73481 - 1.98696i) q^{33} +(-0.0465247 - 0.143188i) q^{34} +(0.770020 - 2.36988i) q^{35} +(-0.332574 - 0.241629i) q^{36} +(-9.40730 - 6.83480i) q^{37} +0.444893 q^{38} +(0.0616162 - 0.189635i) q^{39} -5.09232 q^{40} +(-5.20589 + 3.72810i) q^{41} +3.12941 q^{42} +(-0.517471 + 1.59261i) q^{43} -1.38990 q^{44} +(1.07247 + 0.779194i) q^{45} +(4.75795 + 3.45686i) q^{46} +(2.97360 - 9.15181i) q^{47} +(-2.87377 - 8.84456i) q^{48} +(-0.809017 + 0.587785i) q^{49} -2.01358 q^{50} +(-0.137472 + 0.0998796i) q^{51} +(-0.0663259 + 0.0481886i) q^{52} +(5.05564 + 3.67314i) q^{53} +(2.38667 - 7.34540i) q^{54} +4.48208 q^{55} +(1.65331 + 1.20120i) q^{56} +(-0.155166 - 0.477550i) q^{57} +(-9.79792 + 7.11861i) q^{58} +(2.54695 - 7.83869i) q^{59} +(-1.11824 - 3.44159i) q^{60} +(1.45203 + 4.46888i) q^{61} +(-1.58335 - 4.87305i) q^{62} +(-0.164395 - 0.505957i) q^{63} +(0.921524 - 2.83616i) q^{64} +(0.213885 - 0.155396i) q^{65} +(1.73942 + 5.35340i) q^{66} +(6.69105 + 4.86133i) q^{67} +0.0698668 q^{68} +(2.05117 - 6.31285i) q^{69} +(3.35684 + 2.43889i) q^{70} +(0.511218 - 0.371421i) q^{71} +(-0.879552 + 0.639032i) q^{72} +12.3167 q^{73} +(15.6646 - 11.3810i) q^{74} +(0.702278 + 2.16139i) q^{75} +(-0.0637981 + 0.196350i) q^{76} +(-1.45518 - 1.05725i) q^{77} +(0.268611 + 0.195157i) q^{78} -5.42587 q^{79} +(3.81032 - 11.7270i) q^{80} -10.3130 q^{81} +(-3.22526 - 10.1626i) q^{82} +10.4893 q^{83} +(-0.448761 + 1.38114i) q^{84} -0.225303 q^{85} +(-2.25587 - 1.63899i) q^{86} +(11.0584 + 8.03437i) q^{87} +(-1.13590 + 3.49593i) q^{88} +(-0.198727 - 0.611620i) q^{89} +(-1.78582 + 1.29747i) q^{90} -0.106097 q^{91} +(-2.20795 + 1.60417i) q^{92} +(-4.67852 + 3.39915i) q^{93} +(12.9632 + 9.41830i) q^{94} +(0.205733 - 0.633183i) q^{95} +7.80409 q^{96} +(-7.68825 - 5.58584i) q^{97} +(-0.514559 - 1.58365i) q^{98} +(0.774150 - 0.562453i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) $ 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−0.514559	+	1.58365i	−0.363848	+	1.11981i	0.586851	+	0.809695i	$0.300368\pi$
$2$	−0.514559	+	1.58365i	−0.363848	+	1.11981i	−0.950699	+	0.310115i	$0.899632\pi$
$3$	1.87936			1.08505			0.542525	−	0.840040i	$-0.317469\pi$
$3$	1.87936			1.08505			0.542525	+	0.840040i	$0.317469\pi$
$4$	−0.625144	−	0.454194i	−0.312572	−	0.227097i
$5$	2.01594	+	1.46467i	0.901555	+	0.655018i	0.938865	−	0.344286i	$-0.111879\pi$
$5$	2.01594	+	1.46467i	0.901555	+	0.655018i	−0.0373098	+	0.999304i	$0.511879\pi$
$6$	−0.967042	+	2.97625i	−0.394793	+	1.21505i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$8$	−1.65331	+	1.20120i	−0.584533	+	0.424688i
$9$	0.531995			0.177332
$10$	−3.35684	+	2.43889i	−1.06153	+	0.771243i
$11$	1.45518	−	1.05725i	0.438754	−	0.318774i	−0.346385	−	0.938092i	$-0.612591\pi$
$11$	1.45518	−	1.05725i	0.438754	−	0.318774i	0.785140	+	0.619319i	$0.212591\pi$
$12$	−1.17487	−	0.853594i	−0.339156	−	0.246411i
$13$	0.0327857	−	0.100904i	0.00909313	−	0.0279858i	−0.946407	−	0.322976i	$-0.895317\pi$
$13$	0.0327857	−	0.100904i	0.00909313	−	0.0279858i	0.955500	+	0.294991i	$0.0953165\pi$
$14$	1.66515			0.445030
$15$	3.78867	+	2.75263i	0.978232	+	0.710727i
$16$	−1.52912	−	4.70616i	−0.382281	−	1.17654i
$17$	−0.0731486	+	0.0531455i	−0.0177411	+	0.0128897i	−0.596620	−	0.802524i	$-0.703490\pi$
$17$	−0.0731486	+	0.0531455i	−0.0177411	+	0.0128897i	0.578879	+	0.815413i	$0.303490\pi$
$18$	−0.273743	+	0.842494i	−0.0645218	+	0.198578i
$19$	−0.0825630	−	0.254103i	−0.0189412	−	0.0582952i	0.941139	−	0.338019i	$-0.109757\pi$
$19$	−0.0825630	−	0.254103i	−0.0189412	−	0.0582952i	−0.960080	+	0.279724i	$0.909757\pi$
$20$	−0.595011	−	1.83125i	−0.133048	−	0.409481i
$21$	−0.580754	−	1.78738i	−0.126731	−	0.390038i
$22$	0.925541	+	2.84852i	0.197326	+	0.607307i
$23$	1.09142	−	3.35904i	0.227577	−	0.700409i	−0.770443	−	0.637509i	$-0.779965\pi$
$23$	1.09142	−	3.35904i	0.227577	−	0.700409i	0.998020	−	0.0629004i	$-0.0200350\pi$
$24$	−3.10716	+	2.25749i	−0.634247	+	0.460807i
$25$	0.373679	+	1.15007i	0.0747359	+	0.230013i
$26$	0.142927	+	0.103842i	0.0280302	+	0.0203652i
$27$	−4.63827			−0.892636
$28$	−0.238784	+	0.734901i	−0.0451259	+	0.138883i
$29$	5.88411	+	4.27506i	1.09265	+	0.793858i	0.979845	−	0.199759i	$-0.0640159\pi$
$29$	5.88411	+	4.27506i	1.09265	+	0.793858i	0.112807	+	0.993617i	$0.464016\pi$
$30$	−6.30871	+	4.58354i	−1.15181	+	0.836837i
$31$	−2.48942	+	1.80867i	−0.447114	+	0.324847i	−0.788455	−	0.615092i	$-0.789119\pi$
$31$	−2.48942	+	1.80867i	−0.447114	+	0.324847i	0.341342	+	0.939939i	$0.389119\pi$
$32$	4.15253			0.734070
$33$	2.73481	−	1.98696i	0.476070	−	0.345885i
$34$	−0.0465247	−	0.143188i	−0.00797892	−	0.0245566i
$35$	0.770020	−	2.36988i	0.130157	−	0.400582i
$36$	−0.332574	−	0.241629i	−0.0554289	−	0.0402715i
$37$	−9.40730	−	6.83480i	−1.54655	−	1.12363i	−0.946055	−	0.324006i	$-0.894970\pi$
$37$	−9.40730	−	6.83480i	−1.54655	−	1.12363i	−0.600495	−	0.799628i	$-0.705030\pi$
$38$	0.444893			0.0721712
$39$	0.0616162	−	0.189635i	0.00986649	−	0.0303659i
$40$	−5.09232			−0.805167
$41$	−5.20589	+	3.72810i	−0.813024	+	0.582231i
$41$	−5.20589	+	3.72810i	−0.813024	+	0.582231i
$42$	3.12941			0.482879
$43$	−0.517471	+	1.59261i	−0.0789136	+	0.242871i	−0.982729	−	0.185052i	$-0.940755\pi$
$43$	−0.517471	+	1.59261i	−0.0789136	+	0.242871i	0.903815	+	0.427923i	$0.140755\pi$
$44$	−1.38990			−0.209535
$45$	1.07247	+	0.779194i	0.159874	+	0.116155i
$46$	4.75795	+	3.45686i	0.701522	+	0.509685i
$47$	2.97360	−	9.15181i	0.433745	−	1.33493i	−0.460623	−	0.887596i	$-0.652374\pi$
$47$	2.97360	−	9.15181i	0.433745	−	1.33493i	0.894368	−	0.447333i	$-0.147626\pi$
$48$	−2.87377	−	8.84456i	−0.414793	−	1.27660i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−2.01358			−0.284764
$51$	−0.137472	+	0.0998796i	−0.0192500	+	0.0139859i
$52$	−0.0663259	+	0.0481886i	−0.00919774	+	0.00668255i
$53$	5.05564	+	3.67314i	0.694446	+	0.504544i	0.878119	−	0.478443i	$-0.158799\pi$
$53$	5.05564	+	3.67314i	0.694446	+	0.504544i	−0.183673	+	0.982987i	$0.558799\pi$
$54$	2.38667	−	7.34540i	0.324784	−	0.999583i
$55$	4.48208			0.604364
$56$	1.65331	+	1.20120i	0.220933	+	0.160517i
$57$	−0.155166	−	0.477550i	−0.0205522	−	0.0632531i
$58$	−9.79792	+	7.11861i	−1.28653	+	0.934719i
$59$	2.54695	−	7.83869i	0.331584	−	1.02051i	−0.636796	−	0.771032i	$-0.719741\pi$
$59$	2.54695	−	7.83869i	0.331584	−	1.02051i	0.968380	−	0.249479i	$-0.0802593\pi$
$60$	−1.11824	−	3.44159i	−0.144364	−	0.444307i
$61$	1.45203	+	4.46888i	0.185913	+	0.572181i	0.999963	−	0.00861367i	$-0.00274185\pi$
$61$	1.45203	+	4.46888i	0.185913	+	0.572181i	−0.814050	+	0.580795i	$0.802742\pi$
$62$	−1.58335	−	4.87305i	−0.201085	−	0.618877i
$63$	−0.164395	−	0.505957i	−0.0207119	−	0.0637446i
$64$	0.921524	−	2.83616i	0.115191	−	0.354520i
$65$	0.213885	−	0.155396i	0.0265291	−	0.0192745i
$66$	1.73942	+	5.35340i	0.214108	+	0.658958i
$67$	6.69105	+	4.86133i	0.817442	+	0.593906i	0.915979	−	0.401227i	$-0.131416\pi$
$67$	6.69105	+	4.86133i	0.817442	+	0.593906i	−0.0985369	+	0.995133i	$0.531416\pi$
$68$	0.0698668			0.00847259
$69$	2.05117	−	6.31285i	0.246932	−	0.759978i
$70$	3.35684	+	2.43889i	0.401219	+	0.291503i
$71$	0.511218	−	0.371421i	0.0606704	−	0.0440796i	−0.557037	−	0.830488i	$-0.688062\pi$
$71$	0.511218	−	0.371421i	0.0606704	−	0.0440796i	0.617707	+	0.786408i	$0.288062\pi$
$72$	−0.879552	+	0.639032i	−0.103656	+	0.0753106i
$73$	12.3167			1.44156			0.720778	−	0.693166i	$-0.243785\pi$
$73$	12.3167			1.44156			0.720778	+	0.693166i	$0.243785\pi$
$74$	15.6646	−	11.3810i	1.82097	−	1.32301i
$75$	0.702278	+	2.16139i	0.0810921	+	0.249576i
$76$	−0.0637981	+	0.196350i	−0.00731815	+	0.0225229i
$77$	−1.45518	−	1.05725i	−0.165834	−	0.120485i
$78$	0.268611	+	0.195157i	0.0304142	+	0.0220972i
$79$	−5.42587			−0.610458			−0.305229	−	0.952279i	$-0.598733\pi$
$79$	−5.42587			−0.610458			−0.305229	+	0.952279i	$0.598733\pi$
$80$	3.81032	−	11.7270i	0.426007	−	1.31112i
$81$	−10.3130			−1.14589
$82$	−3.22526	−	10.1626i	−0.356171	−	1.12228i
$83$	10.4893			1.15135			0.575676	−	0.817678i	$-0.304739\pi$
$83$	10.4893			1.15135			0.575676	+	0.817678i	$0.304739\pi$
$84$	−0.448761	+	1.38114i	−0.0489638	+	0.150695i
$85$	−0.225303			−0.0244376
$86$	−2.25587	−	1.63899i	−0.243257	−	0.176736i
$87$	11.0584	+	8.03437i	1.18558	+	0.861375i
$88$	−1.13590	+	3.49593i	−0.121087	+	0.372667i
$89$	−0.198727	−	0.611620i	−0.0210651	−	0.0648316i	0.939971	−	0.341253i	$-0.110851\pi$
$89$	−0.198727	−	0.611620i	−0.0210651	−	0.0648316i	−0.961036	+	0.276422i	$0.910851\pi$
$90$	−1.78582	+	1.29747i	−0.188242	+	0.136766i
$91$	−0.106097			−0.0111220
$92$	−2.20795	+	1.60417i	−0.230195	+	0.167246i
$93$	−4.67852	+	3.39915i	−0.485140	+	0.352475i
$94$	12.9632	+	9.41830i	1.33705	+	0.971423i
$95$	0.205733	−	0.633183i	0.0211078	−	0.0649632i
$96$	7.80409			0.796502
$97$	−7.68825	−	5.58584i	−0.780623	−	0.567156i	0.124543	−	0.992214i	$-0.460254\pi$
$97$	−7.68825	−	5.58584i	−0.780623	−	0.567156i	−0.905166	+	0.425058i	$0.860254\pi$
$98$	−0.514559	−	1.58365i	−0.0519783	−	0.159973i
$99$	0.774150	−	0.562453i	0.0778050	−	0.0565286i
$100$	0.288750	−	0.888681i	0.0288750	−	0.0888681i
$101$	−1.20758	−	3.71653i	−0.120158	−	0.369809i	0.872830	−	0.488025i	$-0.162283\pi$
$101$	−1.20758	−	3.71653i	−0.120158	−	0.369809i	−0.992988	+	0.118216i	$0.962283\pi$
$102$	−0.0874367	−	0.269102i	−0.00865752	−	0.0266451i
$103$	−1.79291	−	5.51800i	−0.176660	−	0.543705i	0.823045	−	0.567976i	$-0.192273\pi$
$103$	−1.79291	−	5.51800i	−0.176660	−	0.543705i	−0.999705	+	0.0242712i	$0.992273\pi$
$104$	0.0670010	+	0.206208i	0.00656999	+	0.0202203i
$105$	1.44714	−	4.45385i	0.141227	−	0.434652i
$106$	−8.41839	+	6.11632i	−0.817667	+	0.594070i
$107$	0.167493	+	0.515489i	0.0161921	+	0.0498342i	0.958826	−	0.283994i	$-0.0916595\pi$
$107$	0.167493	+	0.515489i	0.0161921	+	0.0498342i	−0.942634	+	0.333828i	$0.891660\pi$
$108$	2.89959	+	2.10668i	0.279013	+	0.202715i
$109$	−12.8111			−1.22708			−0.613541	−	0.789663i	$-0.710255\pi$
$109$	−12.8111			−1.22708			−0.613541	+	0.789663i	$0.710255\pi$
$110$	−2.30630	+	7.09805i	−0.219897	+	0.676773i
$111$	−17.6797	−	12.8451i	−1.67808	−	1.21920i
$112$	−4.00329	+	2.90856i	−0.378276	+	0.274833i
$113$	−6.92298	+	5.02984i	−0.651259	+	0.473167i	−0.863700	−	0.504007i	$-0.831859\pi$
$113$	−6.92298	+	5.02984i	−0.651259	+	0.473167i	0.212441	+	0.977174i	$0.431859\pi$
$114$	0.836115			0.0783093
$115$	7.12011	−	5.17306i	0.663954	−	0.482391i
$116$	−1.73671	−	5.34506i	−0.161250	−	0.496276i
$117$	0.0174418	−	0.0536805i	0.00161250	−	0.00496276i
$118$	11.1032	+	8.06695i	1.02213	+	0.742623i
$119$	0.0731486	+	0.0531455i	0.00670552	+	0.00487184i
$120$	−9.57031			−0.873646
$121$	−2.39941	+	7.38463i	−0.218128	+	0.671330i
$122$	−7.82430			−0.708378
$123$	−9.78374	+	7.00644i	−0.882170	+	0.631749i
$124$	2.37774			0.213527
$125$	2.91895	−	8.98361i	0.261079	−	0.803518i
$126$	0.885850			0.0789178
$127$	−5.87194	−	4.26621i	−0.521050	−	0.378565i	0.295949	−	0.955204i	$-0.404364\pi$
$127$	−5.87194	−	4.26621i	−0.521050	−	0.378565i	−0.816999	+	0.576638i	$0.804364\pi$
$128$	10.7362	+	7.80033i	0.948958	+	0.689458i
$129$	−0.972514	+	2.99309i	−0.0856251	+	0.263527i
$130$	0.136037	+	0.418679i	0.0119313	+	0.0367206i
$131$	−2.26960	+	1.64896i	−0.198296	+	0.144071i	−0.682503	−	0.730883i	$-0.739108\pi$
$131$	−2.26960	+	1.64896i	−0.198296	+	0.144071i	0.484206	+	0.874954i	$0.339108\pi$
$132$	−2.61212			−0.227356
$133$	−0.216153	+	0.157044i	−0.0187428	+	0.0136175i
$134$	−11.1416	+	8.09484i	−0.962487	+	0.699288i
$135$	−9.35047	−	6.79351i	−0.804760	−	0.584693i
$136$	0.0570988	−	0.175732i	0.00489618	−	0.0150689i
$137$	−7.30448			−0.624064			−0.312032	−	0.950072i	$-0.601010\pi$
$137$	−7.30448			−0.624064			−0.312032	+	0.950072i	$0.601010\pi$
$138$	8.94191	+	6.49668i	0.761186	+	0.553034i
$139$	6.21796	+	19.1369i	0.527401	+	1.62317i	0.759519	+	0.650485i	$0.225434\pi$
$139$	6.21796	+	19.1369i	0.527401	+	1.62317i	−0.232118	+	0.972688i	$0.574566\pi$
$140$	−1.55776	+	1.13178i	−0.131655	+	0.0956527i
$141$	5.58847	−	17.1995i	0.470634	−	1.44846i
$142$	0.325150	+	1.00071i	0.0272860	+	0.0839776i
$143$	−0.0589719	−	0.181497i	−0.00493148	−	0.0151775i
$144$	−0.813485	−	2.50365i	−0.0677904	−	0.208637i
$145$	5.60048	+	17.2365i	0.465094	+	1.43141i
$146$	−6.33766	+	19.5053i	−0.524508	+	1.61427i
$147$	−1.52043	+	1.10466i	−0.125403	+	0.0911108i
$148$	2.77659	+	8.54548i	0.228235	+	0.702434i
$149$	9.26229	+	6.72945i	0.758796	+	0.551298i	0.898541	−	0.438890i	$-0.144628\pi$
$149$	9.26229	+	6.72945i	0.758796	+	0.551298i	−0.139745	+	0.990188i	$0.544628\pi$
$150$	−3.78425			−0.308983
$151$	−5.56255	+	17.1198i	−0.452674	+	1.39319i	0.421170	+	0.906982i	$0.361619\pi$
$151$	−5.56255	+	17.1198i	−0.452674	+	1.39319i	−0.873844	+	0.486206i	$0.838381\pi$
$152$	0.441730	+	0.320936i	0.0358290	+	0.0260313i
$153$	−0.0389146	+	0.0282731i	−0.00314606	+	0.00228575i
$154$	2.42310	−	1.76048i	0.195259	−	0.141864i
$155$	−7.66762			−0.615878
$156$	−0.124650	+	0.0905637i	−0.00998000	+	0.00725090i
$157$	−0.663500	−	2.04204i	−0.0529531	−	0.162973i	0.921083	−	0.389367i	$-0.127306\pi$
$157$	−0.663500	−	2.04204i	−0.0529531	−	0.162973i	−0.974036	+	0.226394i	$0.927306\pi$
$158$	2.79193	−	8.59269i	0.222114	−	0.683598i
$159$	9.50137	+	6.90315i	0.753508	+	0.547455i
$160$	8.37124	+	6.08206i	0.661804	+	0.480829i
$161$	−3.53191			−0.278353
$162$	5.30663	−	16.3321i	0.416928	−	1.28317i
$163$	−6.99948			−0.548242			−0.274121	−	0.961695i	$-0.588387\pi$
$163$	−6.99948			−0.548242			−0.274121	+	0.961695i	$0.588387\pi$
$164$	4.94771	+	0.0338859i	0.386351	+	0.00264605i
$165$	8.42344			0.655764
$166$	−5.39737	+	16.6114i	−0.418918	+	1.28930i
$167$	−10.6838			−0.826741			−0.413370	−	0.910563i	$-0.635649\pi$
$167$	−10.6838			−0.826741			−0.413370	+	0.910563i	$0.635649\pi$
$168$	3.10716	+	2.25749i	0.239723	+	0.174169i
$169$	10.5081	+	7.63459i	0.808316	+	0.587276i
$170$	0.115932	−	0.356802i	0.00889158	−	0.0273655i
$171$	−0.0439231	−	0.135181i	−0.00335888	−	0.0103376i
$172$	1.04685	−	0.760580i	0.0798215	−	0.0579937i
$173$	−7.88683			−0.599624			−0.299812	−	0.953998i	$-0.596924\pi$
$173$	−7.88683			−0.599624			−0.299812	+	0.953998i	$0.596924\pi$
$174$	−18.4138	+	13.3784i	−1.39595	+	1.01422i
$175$	0.978305	−	0.710781i	0.0739529	−	0.0537300i
$176$	−7.20075	−	5.23165i	−0.542777	−	0.394350i
$177$	4.78663	−	14.7317i	0.359785	−	1.10730i
$178$	1.07085			0.0802635
$179$	17.1709	+	12.4754i	1.28342	+	0.932457i	0.999650	−	0.0264369i	$-0.00841612\pi$
$179$	17.1709	+	12.4754i	1.28342	+	0.932457i	0.283766	+	0.958894i	$0.408416\pi$
$180$	−0.316543	−	0.974218i	−0.0235937	−	0.0726139i
$181$	−4.02918	+	2.92737i	−0.299486	+	0.217590i	−0.727372	−	0.686243i	$-0.759259\pi$
$181$	−4.02918	+	2.92737i	−0.299486	+	0.217590i	0.427886	+	0.903833i	$0.359259\pi$
$182$	0.0545931	−	0.168020i	0.00404671	−	0.0124545i
$183$	2.72888	+	8.39863i	0.201725	+	0.620845i
$184$	2.23043	+	6.86455i	0.164429	+	0.506061i
$185$	−8.95384	−	27.5571i	−0.658299	−	2.02604i
$186$	−2.97568	−	9.15821i	−0.218188	−	0.671512i
$187$	−0.0502563	+	0.154673i	−0.00367510	+	0.0113108i
$188$	−6.01563	+	4.37061i	−0.438735	+	0.318759i
$189$	1.43330	+	4.41126i	0.104258	+	0.320872i
$190$	0.896878	+	0.651620i	0.0650664	+	0.0472735i
$191$	−4.88921			−0.353771			−0.176885	−	0.984231i	$-0.556602\pi$
$191$	−4.88921			−0.353771			−0.176885	+	0.984231i	$0.556602\pi$
$192$	1.73188	−	5.33017i	0.124987	−	0.384672i
$193$	−16.5248	−	12.0060i	−1.18948	−	0.864211i	−0.196275	−	0.980549i	$-0.562884\pi$
$193$	−16.5248	−	12.0060i	−1.18948	−	0.864211i	−0.993210	+	0.116338i	$0.962884\pi$
$194$	12.8021	−	9.30126i	0.919136	−	0.667791i
$195$	0.401967	−	0.292046i	0.0287854	−	0.0209138i
$196$	0.772721			0.0551944
$197$	2.67690	−	1.94488i	0.190721	−	0.138567i	−0.488327	−	0.872661i	$-0.662393\pi$
$197$	2.67690	−	1.94488i	0.190721	−	0.138567i	0.679048	+	0.734094i	$0.262393\pi$
$198$	0.492383	+	1.51540i	0.0349921	+	0.107695i
$199$	−0.171492	+	0.527798i	−0.0121567	+	0.0374146i	−0.956951	−	0.290250i	$-0.906262\pi$
$199$	−0.171492	+	0.527798i	−0.0121567	+	0.0374146i	0.944794	+	0.327665i	$0.106262\pi$
$200$	−1.99927	−	1.45255i	−0.141370	−	0.102711i
$201$	12.5749	+	9.13619i	0.886964	+	0.644417i
$202$	6.50706			0.457835
$203$	2.24753	−	6.91719i	0.157746	−	0.485491i
$204$	0.131305			0.00919318
$205$	−15.9552	−	0.109274i	−1.11436	−	0.00763202i
$206$	9.66115			0.673124
$207$	0.580629	−	1.78699i	0.0403565	−	0.124205i
$208$	−0.525004			−0.0364025
$209$	−0.388795	−	0.282476i	−0.0268935	−	0.0195393i
$210$	6.30871	+	4.58354i	0.435342	+	0.316295i
$211$	7.25384	−	22.3250i	0.499375	−	1.53692i	−0.310652	−	0.950524i	$-0.600547\pi$
$211$	7.25384	−	22.3250i	0.499375	−	1.53692i	0.810026	−	0.586394i	$-0.199453\pi$
$212$	−1.49219	−	4.59248i	−0.102484	−	0.315413i
$213$	0.960762	−	0.698035i	0.0658303	−	0.0478285i
$214$	−0.902540			−0.0616964
$215$	−3.37583	+	2.45269i	−0.230230	+	0.167272i
$216$	7.66849	−	5.57149i	0.521775	−	0.379092i
$217$	2.48942	+	1.80867i	0.168993	+	0.122781i
$218$	6.59207	−	20.2883i	0.446472	−	1.37410i
$219$	23.1475			1.56416
$220$	−2.80195	−	2.03573i	−0.188907	−	0.137249i
$221$	0.00296437	+	0.00912341i	0.000199405	+	0.000613707i
$222$	29.4393	−	21.3889i	1.97584	−	1.43553i
$223$	3.44873	−	10.6141i	0.230944	−	0.710773i	−0.766689	−	0.642018i	$-0.778097\pi$
$223$	3.44873	−	10.6141i	0.230944	−	0.710773i	0.997634	−	0.0687548i	$-0.0219026\pi$
$224$	−1.28320	−	3.94929i	−0.0857375	−	0.263873i
$225$	0.198795	+	0.611830i	0.0132530	+	0.0407886i
$226$	−4.40322	−	13.5517i	−0.292898	−	0.901447i
$227$	3.13819	+	9.65836i	0.208289	+	0.641048i	0.999562	+	0.0295851i	$0.00941862\pi$
$227$	3.13819	+	9.65836i	0.208289	+	0.641048i	−0.791273	+	0.611463i	$0.790581\pi$
$228$	−0.119900	+	0.369013i	−0.00794055	+	0.0244385i
$229$	−0.739974	+	0.537623i	−0.0488989	+	0.0355271i	−0.611966	−	0.790884i	$-0.709621\pi$
$229$	−0.739974	+	0.537623i	−0.0488989	+	0.0355271i	0.563067	+	0.826411i	$0.309621\pi$
$230$	4.52861	+	13.9376i	0.298607	+	0.919019i
$231$	−2.73481	−	1.98696i	−0.179938	−	0.130732i
$232$	−14.8634			−0.975833
$233$	−6.86696	+	21.1343i	−0.449870	+	1.38456i	0.427184	+	0.904165i	$0.359506\pi$
$233$	−6.86696	+	21.1343i	−0.449870	+	1.38456i	−0.877054	+	0.480392i	$0.840494\pi$
$234$	0.0760362	+	0.0552436i	0.00497064	+	0.00361138i
$235$	19.3989	−	14.0941i	1.26545	−	0.919401i
$236$	−5.15250	+	3.74351i	−0.335399	+	0.243682i
$237$	−10.1972			−0.662377
$238$	−0.121803	+	0.0884952i	−0.00789533	+	0.00573629i
$239$	3.46635	+	10.6683i	0.224219	+	0.690077i	0.998370	+	0.0570749i	$0.0181774\pi$
$239$	3.46635	+	10.6683i	0.224219	+	0.690077i	−0.774150	+	0.633002i	$0.781823\pi$
$240$	7.16097	−	22.0392i	0.462239	−	1.42262i
$241$	−17.2796	−	12.5544i	−1.11308	−	0.808698i	−0.129932	−	0.991523i	$-0.541476\pi$
$241$	−17.2796	−	12.5544i	−1.11308	−	0.808698i	−0.983146	+	0.182824i	$0.941476\pi$
$242$	−10.4600	−	7.59966i	−0.672396	−	0.488525i
$243$	−5.46696			−0.350706
$244$	1.12201	−	3.45320i	0.0718294	−	0.221068i
$245$	−2.49184			−0.159198
$246$	−6.06143	−	19.0993i	−0.386463	−	1.21772i
$247$	−0.0283469			−0.00180367
$248$	1.94321	−	5.98059i	0.123394	−	0.379768i
$249$	19.7132			1.24927
$250$	12.7249	+	9.24520i	0.804795	+	0.584718i
$251$	17.3093	+	12.5759i	1.09255	+	0.793784i	0.979828	−	0.199842i	$-0.0640430\pi$
$251$	17.3093	+	12.5759i	1.09255	+	0.793784i	0.112722	+	0.993627i	$0.464043\pi$
$252$	−0.127032	+	0.390964i	−0.00800225	+	0.0246284i
$253$	−1.96314	−	6.04193i	−0.123422	−	0.379853i
$254$	9.77766	−	7.10388i	0.613505	−	0.445737i
$255$	−0.423426			−0.0265160
$256$	−13.0523	+	9.48303i	−0.815767	+	0.592689i
$257$	−5.67496	+	4.12310i	−0.353994	+	0.257192i	−0.750543	−	0.660822i	$-0.770208\pi$
$257$	−5.67496	+	4.12310i	−0.353994	+	0.257192i	0.396549	+	0.918014i	$0.370208\pi$
$258$	−4.23959	−	3.08025i	−0.263946	−	0.191768i
$259$	−3.59327	+	11.0589i	−0.223275	+	0.687169i
$260$	−0.204289			−0.0126695
$261$	3.13032	+	2.27431i	0.193762	+	0.140776i
$262$	−1.44354	−	4.44275i	−0.0891820	−	0.274474i
$263$	3.56199	−	2.58794i	0.219642	−	0.159579i	−0.472524	−	0.881318i	$-0.656657\pi$
$263$	3.56199	−	2.58794i	0.219642	−	0.159579i	0.692165	+	0.721739i	$0.256657\pi$
$264$	−2.13476	+	6.57011i	−0.131385	+	0.404362i
$265$	4.81194	+	14.8096i	0.295595	+	0.909749i
$266$	−0.137480	−	0.423119i	−0.00842942	−	0.0259431i
$267$	−0.373480	−	1.14945i	−0.0228566	−	0.0703454i
$268$	−1.97488	−	6.07807i	−0.120635	−	0.371277i
$269$	−5.89521	+	18.1436i	−0.359437	+	1.10623i	0.593955	+	0.804499i	$0.297566\pi$
$269$	−5.89521	+	18.1436i	−0.359437	+	1.10623i	−0.953392	+	0.301735i	$0.902434\pi$
$270$	15.5699	−	11.3122i	0.947555	−	0.688439i
$271$	−3.46019	−	10.6494i	−0.210192	−	0.646903i	−0.999460	−	0.0328549i	$-0.989540\pi$
$271$	−3.46019	−	10.6494i	−0.210192	−	0.646903i	0.789269	−	0.614048i	$-0.210460\pi$
$272$	0.361964	+	0.262982i	0.0219473	+	0.0159457i
$273$	−0.199394			−0.0120679
$274$	3.75859	−	11.5677i	0.227065	−	0.698833i
$275$	1.75968	+	1.27848i	0.106113	+	0.0770955i
$276$	−4.14954	+	3.01482i	−0.249773	+	0.181471i
$277$	−18.6726	+	13.5664i	−1.12193	+	0.815128i	−0.984500	−	0.175384i	$-0.943883\pi$
$277$	−18.6726	+	13.5664i	−1.12193	+	0.815128i	−0.137427	+	0.990512i	$0.543883\pi$
$278$	−33.5057			−2.00954
$279$	−1.32436	+	0.962204i	−0.0792873	+	0.0576056i
$280$	1.57361	+	4.84309i	0.0940415	+	0.289430i
$281$	−8.89196	+	27.3667i	−0.530450	+	1.63256i	0.222830	+	0.974857i	$0.428471\pi$
$281$	−8.89196	+	27.3667i	−0.530450	+	1.63256i	−0.753280	+	0.657700i	$0.771529\pi$
$282$	24.3625	+	17.7004i	1.45076	+	1.05404i
$283$	24.6988	+	17.9447i	1.46819	+	1.06670i	0.981133	+	0.193336i	$0.0619307\pi$
$283$	24.6988	+	17.9447i	1.46819	+	1.06670i	0.487060	+	0.873369i	$0.338069\pi$
$284$	−0.488282			−0.0289742
$285$	0.386647	−	1.18998i	0.0229030	−	0.0704882i
$286$	0.317772			0.0187903
$287$	5.15434	+	3.79905i	0.304251	+	0.224251i
$288$	2.20912			0.130174
$289$	−5.25076	+	16.1602i	−0.308868	+	0.950599i
$290$	−30.1784			−1.77214
$291$	−14.4490	−	10.4978i	−0.847015	−	0.615392i
$292$	−7.69970	−	5.59416i	−0.450591	−	0.327373i
$293$	9.85572	−	30.3328i	0.575777	−	1.77206i	−0.0577396	−	0.998332i	$-0.518389\pi$
$293$	9.85572	−	30.3328i	0.575777	−	1.77206i	0.633517	−	0.773729i	$-0.281611\pi$
$294$	−0.967042	−	2.97625i	−0.0563991	−	0.173578i
$295$	16.6155	−	12.0719i	0.967395	−	0.702853i
$296$	23.7631			1.38120
$297$	−6.74953	+	4.90382i	−0.391648	+	0.284549i
$298$	−15.4231	+	11.2055i	−0.893436	+	0.649119i
$299$	−0.303158	−	0.220257i	−0.0175321	−	0.0127378i
$300$	0.542665	−	1.67015i	0.0313308	−	0.0964263i
$301$	1.67457			0.0965207
$302$	−24.2495	−	17.6183i	−1.39540	−	1.01382i
$303$	−2.26947	−	6.98471i	−0.130378	−	0.401261i
$304$	−1.06960	+	0.777108i	−0.0613456	+	0.0445702i
$305$	−3.61821	+	11.1357i	−0.207178	+	0.637629i
$306$	−0.0247509	−	0.0761754i	−0.00141491	−	0.00435466i
$307$	−5.42485	−	16.6960i	−0.309613	−	0.952890i	−0.977915	−	0.209001i	$-0.932979\pi$
$307$	−5.42485	−	16.6960i	−0.309613	−	0.952890i	0.668303	−	0.743889i	$-0.267021\pi$
$308$	0.429502	+	1.32187i	0.0244731	+	0.0753206i
$309$	−3.36952	−	10.3703i	−0.191685	−	0.589947i
$310$	3.94545	−	12.1428i	0.224086	−	0.689667i
$311$	−3.66400	+	2.66205i	−0.207766	+	0.150951i	−0.686803	−	0.726844i	$-0.740986\pi$
$311$	−3.66400	+	2.66205i	−0.207766	+	0.150951i	0.479036	+	0.877795i	$0.340986\pi$
$312$	0.125919	+	0.387539i	0.00712876	+	0.0219401i
$313$	−13.3332	−	9.68717i	−0.753639	−	0.547551i	0.143313	−	0.989677i	$-0.454224\pi$
$313$	−13.3332	−	9.68717i	−0.753639	−	0.547551i	−0.896953	+	0.442126i	$0.854224\pi$
$314$	3.57529			0.201765
$315$	0.409647	−	1.26076i	0.0230810	−	0.0710359i
$316$	3.39195	+	2.46440i	0.190812	+	0.138633i
$317$	−26.7061	+	19.4032i	−1.49997	+	1.08979i	−0.529572	+	0.848265i	$0.677647\pi$
$317$	−26.7061	+	19.4032i	−1.49997	+	1.08979i	−0.970395	+	0.241525i	$0.922353\pi$
$318$	−15.8212	+	11.4948i	−0.887209	+	0.644595i
$319$	13.0823			0.732467
$320$	6.01176	−	4.36780i	0.336068	−	0.244167i
$321$	0.314779	+	0.968790i	0.0175693	+	0.0540726i
$322$	1.81738	−	5.59331i	0.101278	−	0.311703i
$323$	0.0195438	+	0.0141994i	0.00108745	+	0.000790075i
$324$	6.44709	+	4.68409i	0.358172	+	0.260227i
$325$	0.128298			0.00711668
$326$	3.60165	−	11.0847i	0.199477	−	0.613927i
$327$	−24.0767			−1.33144
$328$	4.12876	−	12.4170i	0.227973	−	0.685615i
$329$	−9.62278			−0.530521
$330$	−4.33436	+	13.3398i	−0.238599	+	0.734332i
$331$	14.3992			0.791452			0.395726	−	0.918369i	$-0.370493\pi$
$331$	14.3992			0.791452			0.395726	+	0.918369i	$0.370493\pi$
$332$	−6.55734	−	4.76418i	−0.359881	−	0.261469i
$333$	−5.00463	−	3.63608i	−0.274252	−	0.199256i
$334$	5.49747	−	16.9195i	0.300808	−	0.925793i
$335$	6.36852	+	19.6003i	0.347949	+	1.07088i
$336$	−7.52363	+	5.46624i	−0.410448	+	0.298208i
$337$	24.0000			1.30736			0.653682	−	0.756769i	$-0.273223\pi$
$337$	24.0000			1.30736			0.653682	+	0.756769i	$0.273223\pi$
$338$	−17.4976	+	12.7127i	−0.951743	+	0.691481i
$339$	−13.0108	+	9.45288i	−0.706648	+	0.513410i
$340$	0.140847	+	0.102331i	0.00763851	+	0.00554970i
$341$	−1.71034	+	5.26390i	−0.0926203	+	0.285056i
$342$	0.236681			0.0127982
$343$	0.809017	+	0.587785i	0.0436828	+	0.0317374i
$344$	−1.05750	−	3.25466i	−0.0570168	−	0.175480i
$345$	13.3813	−	9.72205i	0.720422	−	0.523417i
$346$	4.05824	−	12.4900i	0.218172	−	0.671465i
$347$	3.19812	+	9.84280i	0.171684	+	0.528389i	0.999467	−	0.0326599i	$-0.0103978\pi$
$347$	3.19812	+	9.84280i	0.171684	+	0.528389i	−0.827782	+	0.561049i	$0.810398\pi$
$348$	−3.26391	−	10.0453i	−0.174964	−	0.538484i
$349$	−9.26852	−	28.5256i	−0.496132	−	1.52694i	−0.815184	−	0.579201i	$-0.803364\pi$
$349$	−9.26852	−	28.5256i	−0.496132	−	1.52694i	0.319052	−	0.947737i	$-0.396636\pi$
$350$	0.622232	+	1.91503i	0.0332597	+	0.102363i
$351$	−0.152069	+	0.468021i	−0.00811685	+	0.0249811i
$352$	6.04269	−	4.39027i	0.322076	−	0.234002i
$353$	−5.14616	−	15.8383i	−0.273903	−	0.842985i	−0.989508	−	0.144480i	$-0.953849\pi$
$353$	−5.14616	−	15.8383i	−0.273903	−	0.842985i	0.715605	−	0.698505i	$-0.246151\pi$
$354$	20.8669	+	15.1607i	1.10906	+	0.805782i
$355$	1.57459			0.0835706
$356$	−0.153561	+	0.472611i	−0.00813870	+	0.0250484i
$357$	0.137472	+	0.0998796i	0.00727582	+	0.00528619i
$358$	−28.5922	+	20.7734i	−1.51114	+	1.09791i
$359$	9.56958	−	6.95271i	0.505063	−	0.366950i	−0.305884	−	0.952069i	$-0.598952\pi$
$359$	9.56958	−	6.95271i	0.505063	−	0.366950i	0.810948	+	0.585119i	$0.198952\pi$
$360$	−2.70909			−0.142782
$361$	15.3136	−	11.1260i	0.805977	−	0.585577i
$362$	−2.56268	−	7.88711i	−0.134691	−	0.414538i
$363$	−4.50936	+	13.8784i	−0.236680	+	0.728426i
$364$	0.0663259	+	0.0481886i	0.00347642	+	0.00252577i
$365$	24.8296	+	18.0398i	1.29964	+	0.944246i
$366$	−14.7047			−0.768625
$367$	2.33016	−	7.17150i	0.121633	−	0.374349i	−0.871639	−	0.490148i	$-0.836943\pi$
$367$	2.33016	−	7.17150i	0.121633	−	0.374349i	0.993273	+	0.115799i	$0.0369428\pi$
$368$	−17.4771			−0.911057
$369$	−2.76951	+	1.98333i	−0.144175	+	0.103248i
$370$	48.2481			2.50830
$371$	1.93108	−	5.94326i	0.100257	−	0.308559i
$372$	4.46862			0.231687
$373$	−3.32808	−	2.41799i	−0.172322	−	0.125199i	0.498281	−	0.867015i	$-0.333965\pi$
$373$	−3.32808	−	2.41799i	−0.172322	−	0.125199i	−0.670603	+	0.741816i	$0.733965\pi$
$374$	−0.219088	−	0.159177i	−0.0113288	−	0.00823084i
$375$	5.48576	−	16.8834i	0.283284	−	0.871857i
$376$	6.07686	+	18.7027i	0.313390	+	0.964516i
$377$	0.624286	−	0.453570i	0.0321524	−	0.0233601i
$378$	−7.72341			−0.397249
$379$	23.3140	−	16.9386i	1.19756	−	0.870077i	0.203516	−	0.979072i	$-0.434763\pi$
$379$	23.3140	−	16.9386i	1.19756	−	0.870077i	0.994042	+	0.108995i	$0.0347632\pi$
$380$	−0.416201	+	0.302388i	−0.0213507	+	0.0155122i
$381$	−11.0355	−	8.01775i	−0.565365	−	0.410762i
$382$	2.51579	−	7.74279i	0.128719	−	0.396156i
$383$	−16.5790			−0.847146			−0.423573	−	0.905862i	$-0.639224\pi$
$383$	−16.5790			−0.847146			−0.423573	+	0.905862i	$0.639224\pi$
$384$	20.1773	+	14.6596i	1.02967	+	0.748096i
$385$	−1.38504	−	4.26271i	−0.0705881	−	0.217248i
$386$	27.5163	−	19.9918i	1.40054	−	1.01755i
$387$	−0.275292	+	0.847261i	−0.0139939	+	0.0430687i
$388$	2.26921	+	6.98391i	0.115202	+	0.354555i
$389$	2.05788	+	6.33349i	0.104338	+	0.321121i	0.989575	−	0.144021i	$-0.0460033\pi$
$389$	2.05788	+	6.33349i	0.104338	+	0.321121i	−0.885236	+	0.465142i	$0.846003\pi$
$390$	0.255663	+	0.786849i	0.0129460	+	0.0398437i
$391$	0.0986824	+	0.303713i	0.00499059	+	0.0153594i
$392$	0.631508	−	1.94358i	0.0318960	−	0.0981657i
$393$	−4.26540	+	3.09900i	−0.215161	+	0.156324i
$394$	1.70259	+	5.24002i	0.0857751	+	0.263989i
$395$	−10.9382	−	7.94709i	−0.550362	−	0.399861i
$396$	−0.739418			−0.0371572
$397$	−4.49562	+	13.8361i	−0.225629	+	0.694414i	0.772599	+	0.634895i	$0.218957\pi$
$397$	−4.49562	+	13.8361i	−0.225629	+	0.694414i	−0.998227	+	0.0595187i	$0.981043\pi$
$398$	−0.747605	−	0.543167i	−0.0374740	−	0.0272265i
$399$	−0.406229	+	0.295142i	−0.0203369	+	0.0147756i
$400$	4.84099	−	3.51719i	0.242050	−	0.175859i
$401$	−6.41227			−0.320213			−0.160107	−	0.987100i	$-0.551184\pi$
$401$	−6.41227			−0.320213			−0.160107	+	0.987100i	$0.551184\pi$
$402$	−20.9391	+	15.2131i	−1.04435	+	0.758761i
$403$	0.100885	+	0.310492i	0.00502543	+	0.0154667i
$404$	−0.933119	+	2.87184i	−0.0464244	+	0.142880i
$405$	−20.7903	−	15.1050i	−1.03308	−	0.750576i
$406$	9.79792	+	7.11861i	0.486263	+	0.353290i
$407$	−20.9155			−1.03674
$408$	0.107309	−	0.330264i	0.00531260	−	0.0163505i
$409$	−7.63492			−0.377523			−0.188761	−	0.982023i	$-0.560447\pi$
$409$	−7.63492			−0.377523			−0.188761	+	0.982023i	$0.560447\pi$
$410$	8.38293	−	25.2112i	0.414004	−	1.24509i
$411$	−13.7278			−0.677140
$412$	−1.38542	+	4.26388i	−0.0682546	+	0.210066i
$413$	−8.24209			−0.405567
$414$	2.53121	+	1.83903i	0.124402	+	0.0903833i
$415$	21.1458	+	15.3633i	1.03801	+	0.754156i
$416$	0.136144	−	0.419007i	0.00667499	−	0.0205435i
$417$	11.6858	+	35.9652i	0.572256	+	1.76122i
$418$	0.647402	−	0.470365i	0.0316654	−	0.0230063i
$419$	37.6655			1.84008			0.920040	−	0.391823i	$-0.128156\pi$
$419$	37.6655			1.84008			0.920040	+	0.391823i	$0.128156\pi$
$420$	−2.92759	+	2.12702i	−0.142852	+	0.103788i
$421$	−3.52901	+	2.56398i	−0.171994	+	0.124961i	−0.670452	−	0.741953i	$-0.733900\pi$
$421$	−3.52901	+	2.56398i	−0.171994	+	0.124961i	0.498458	+	0.866914i	$0.333900\pi$
$422$	31.6225	+	22.9751i	1.53936	+	1.11841i
$423$	1.58194	−	4.86871i	0.0769166	−	0.236725i
$424$	−12.7707			−0.620200
$425$	−0.0884550	−	0.0642664i	−0.00429070	−	0.00311738i
$426$	0.611074	+	1.88069i	0.0296066	+	0.0911198i
$427$	3.80145	−	2.76192i	0.183965	−	0.133659i
$428$	0.129425	−	0.398329i	0.00625600	−	0.0192540i
$429$	−0.110829	−	0.341098i	−0.00535089	−	0.0164684i
$430$	−2.14713	−	6.60819i	−0.103544	−	0.318675i
$431$	4.09639	+	12.6074i	0.197316	+	0.607277i	0.999942	+	0.0107935i	$0.00343576\pi$
$431$	4.09639	+	12.6074i	0.197316	+	0.607277i	−0.802626	+	0.596483i	$0.796564\pi$
$432$	7.09248	+	21.8284i	0.341237	+	1.05022i
$433$	8.92396	−	27.4651i	0.428858	−	1.31989i	−0.470393	−	0.882457i	$-0.655888\pi$
$433$	8.92396	−	27.4651i	0.428858	−	1.31989i	0.899251	−	0.437433i	$-0.144112\pi$
$434$	−4.14526	+	3.01171i	−0.198979	+	0.144567i
$435$	10.5253	+	32.3936i	0.504650	+	1.55315i
$436$	8.00879	+	5.81873i	0.383552	+	0.278667i
$437$	−0.943653			−0.0451410
$438$	−11.9107	+	36.6575i	−0.569117	+	1.75156i
$439$	−17.8243	−	12.9501i	−0.850707	−	0.618075i	0.0746341	−	0.997211i	$-0.476221\pi$
$439$	−17.8243	−	12.9501i	−0.850707	−	0.618075i	−0.925341	+	0.379136i	$0.876221\pi$
$440$	−7.41026	+	5.38387i	−0.353271	+	0.256666i
$441$	−0.430393	+	0.312699i	−0.0204949	+	0.0148904i
$442$	−0.0159736			−0.000759788
$443$	−12.6737	+	9.20797i	−0.602145	+	0.437484i	−0.846640	−	0.532167i	$-0.821378\pi$
$443$	−12.6737	+	9.20797i	−0.602145	+	0.437484i	0.244495	+	0.969651i	$0.421378\pi$
$444$	5.21822	+	16.0600i	0.247646	+	0.762175i
$445$	0.495196	−	1.52406i	0.0234745	−	0.0722472i
$446$	15.0345	+	10.9232i	0.711902	+	0.517227i
$447$	17.4072	+	12.6471i	0.823331	+	0.598185i
$448$	−2.98211			−0.140892
$449$	−11.7589	+	36.1900i	−0.554934	+	1.70791i	0.141182	+	0.989984i	$0.454910\pi$
$449$	−11.7589	+	36.1900i	−0.554934	+	1.70791i	−0.696116	+	0.717929i	$0.745090\pi$
$450$	−1.07122			−0.0504976
$451$	−3.63399	+	10.9290i	−0.171118	+	0.514627i
$452$	6.61238			0.311020
$453$	−10.4540	+	32.1742i	−0.491173	+	1.51168i
$454$	−16.9103			−0.793638
$455$	−0.213885	−	0.155396i	−0.0100271	−	0.00728509i
$456$	0.830170	+	0.603154i	0.0388763	+	0.0282453i
$457$	2.47334	−	7.61215i	0.115698	−	0.356081i	−0.876394	−	0.481595i	$-0.840058\pi$
$457$	2.47334	−	7.61215i	0.115698	−	0.356081i	0.992092	+	0.125513i	$0.0400578\pi$
$458$	−0.470646	−	1.44850i	−0.0219918	−	0.0676839i
$459$	0.339283	−	0.246503i	0.0158364	−	0.0115058i
$460$	−6.80067			−0.317083
$461$	−26.1761	+	19.0180i	−1.21914	+	0.885759i	−0.996029	−	0.0890337i	$-0.971622\pi$
$461$	−26.1761	+	19.0180i	−1.21914	+	0.885759i	−0.223114	+	0.974792i	$0.571622\pi$
$462$	4.55387	−	3.30858i	0.211865	−	0.153929i
$463$	28.8376	+	20.9517i	1.34020	+	0.973709i	0.999437	+	0.0335584i	$0.0106840\pi$
$463$	28.8376	+	20.9517i	1.34020	+	0.973709i	0.340759	+	0.940151i	$0.389316\pi$
$464$	11.1216	−	34.2286i	0.516305	−	1.58902i
$465$	−14.4102			−0.668258
$466$	−29.9360	−	21.7497i	−1.38676	−	1.00754i
$467$	−11.9986	−	36.9280i	−0.555230	−	1.70882i	−0.695335	−	0.718686i	$-0.744744\pi$
$467$	−11.9986	−	36.9280i	−0.555230	−	1.70882i	0.140105	−	0.990137i	$-0.455256\pi$
$468$	−0.0352850	+	0.0256361i	−0.00163105	+	0.00118503i
$469$	2.55575	−	7.86580i	0.118014	−	0.363209i
$470$	12.3383	+	37.9734i	0.569124	+	1.75158i
$471$	−1.24696	−	3.83773i	−0.0574567	−	0.176833i
$472$	5.20495	+	16.0192i	0.239577	+	0.737342i
$473$	0.930778	+	2.86464i	0.0427972	+	0.131716i
$474$	5.24705	−	16.1488i	0.241005	−	0.741737i
$475$	0.261383	−	0.189906i	0.0119931	−	0.00871348i
$476$	−0.0215900	−	0.0664473i	−0.000989577	−	0.00304561i
$477$	2.68957	+	1.95409i	0.123147	+	0.0894716i
$478$	−18.6785			−0.854337
$479$	−1.61770	+	4.97876i	−0.0739145	+	0.227485i	−0.981188	−	0.193056i	$-0.938160\pi$
$479$	−1.61770	+	4.97876i	−0.0739145	+	0.227485i	0.907273	+	0.420542i	$0.138160\pi$
$480$	15.7326	+	11.4304i	0.718090	+	0.521723i
$481$	−0.998085	+	0.725151i	−0.0455088	+	0.0330640i
$482$	28.7731	−	20.9049i	1.31058	−	0.952192i
$483$	−6.63773			−0.302027
$484$	4.85403	−	3.52666i	0.220638	−	0.160303i
$485$	−7.31765	−	22.5214i	−0.332278	−	1.02265i
$486$	2.81308	−	8.65776i	0.127604	−	0.392724i
$487$	−12.9600	−	9.41601i	−0.587275	−	0.426680i	0.254065	−	0.967187i	$-0.418232\pi$
$487$	−12.9600	−	9.41601i	−0.587275	−	0.426680i	−0.841339	+	0.540507i	$0.818232\pi$
$488$	−7.76866	−	5.64426i	−0.351671	−	0.255504i
$489$	−13.1545			−0.594869
$490$	1.28220	−	3.94620i	0.0579238	−	0.178271i
$491$	37.0608			1.67253			0.836266	−	0.548324i	$-0.184734\pi$
$491$	37.0608			1.67253			0.836266	+	0.548324i	$0.184734\pi$
$492$	9.29853	+	0.0636839i	0.419210	+	0.00287109i
$493$	−0.657614			−0.0296175
$494$	0.0145862	−	0.0448916i	0.000656262	−	0.00201977i
$495$	2.38444			0.107173
$496$	12.3185	+	8.94993i	0.553118	+	0.401864i
$497$	−0.511218	−	0.371421i	−0.0229312	−	0.0166605i
$498$	−10.1436	+	31.2188i	−0.454546	+	1.39895i
$499$	−6.32430	−	19.4642i	−0.283115	−	0.871337i	−0.986957	−	0.160981i	$-0.948534\pi$
$499$	−6.32430	−	19.4642i	−0.283115	−	0.871337i	0.703843	−	0.710356i	$-0.251466\pi$
$500$	−5.90507	+	4.29028i	−0.264083	+	0.191867i
$501$	−20.0788			−0.897054
$502$	−28.8225	+	20.9408i	−1.28641	+	0.934632i
$503$	26.4712	−	19.2325i	1.18029	−	0.857534i	0.188089	−	0.982152i	$-0.439771\pi$
$503$	26.4712	−	19.2325i	1.18029	−	0.857534i	0.992205	+	0.124618i	$0.0397706\pi$
$504$	0.879552	+	0.639032i	0.0391783	+	0.0284647i
$505$	3.00908	−	9.26100i	0.133902	−	0.412109i
$506$	10.5785			0.470270
$507$	19.7485	+	14.3481i	0.877063	+	0.637224i
$508$	1.73312	+	5.33400i	0.0768949	+	0.236658i
$509$	31.8604	−	23.1480i	1.41219	−	1.02602i	0.419189	−	0.907899i	$-0.362314\pi$
$509$	31.8604	−	23.1480i	1.41219	−	1.02602i	0.993000	−	0.118117i	$-0.0376857\pi$
$510$	0.217878	−	0.670559i	0.00964780	−	0.0296929i
$511$	−3.80606	−	11.7138i	−0.168370	−	0.518190i
$512$	−0.0998843	−	0.307412i	−0.00441431	−	0.0135858i
$513$	0.382949	+	1.17860i	0.0169076	+	0.0520363i
$514$	−3.60945	−	11.1087i	−0.159206	−	0.489985i
$515$	4.46763	−	13.7500i	0.196867	−	0.605896i
$516$	1.96741	−	1.42940i	0.0866102	−	0.0629260i
$517$	−5.34864	−	16.4614i	−0.235233	−	0.723972i
$518$	−15.6646	−	11.3810i	−0.688261	−	0.500051i
$519$	−14.8222			−0.650622
$520$	−0.166956	+	0.513836i	−0.00732149	+	0.0225332i
$521$	20.1750	+	14.6580i	0.883882	+	0.642178i	0.934276	−	0.356551i	$-0.116048\pi$
$521$	20.1750	+	14.6580i	0.883882	+	0.642178i	−0.0503935	+	0.998729i	$0.516048\pi$
$522$	−5.21244	+	3.78706i	−0.228142	+	0.165755i
$523$	−1.22641	+	0.891038i	−0.0536271	+	0.0389624i	−0.614276	−	0.789091i	$-0.710552\pi$
$523$	−1.22641	+	0.891038i	−0.0536271	+	0.0389624i	0.560649	+	0.828054i	$0.310552\pi$
$524$	2.16778			0.0946999
$525$	1.83859	−	1.33581i	0.0802426	−	0.0582996i
$526$	2.26553	+	6.97259i	0.0987819	+	0.304019i
$527$	0.0859749	−	0.264603i	0.00374512	−	0.0115263i
$528$	−13.5328	−	9.83215i	−0.588939	−	0.427890i
$529$	8.51541	+	6.18681i	0.370235	+	0.268992i
$530$	−25.9293			−1.12630
$531$	1.35496	−	4.17014i	0.0588003	−	0.180969i
$532$	0.206455			0.00895097
$533$	0.205501	+	0.647524i	0.00890125	+	0.0280474i
$534$	2.01251			0.0870899
$535$	−0.417364	+	1.28452i	−0.0180442	+	0.0555344i
$536$	−16.9018			−0.730046
$537$	32.2704	+	23.4458i	1.39257	+	1.01176i
$538$	−25.6997	−	18.6719i	−1.10799	−	0.805003i
$539$	−0.555831	+	1.71067i	−0.0239413	+	0.0736838i
$540$	2.75982	+	8.49385i	0.118764	+	0.365517i
$541$	26.4744	−	19.2348i	1.13822	−	0.826968i	0.151353	−	0.988480i	$-0.451637\pi$
$541$	26.4744	−	19.2348i	1.13822	−	0.826968i	0.986871	+	0.161512i	$0.0516371\pi$
$542$	18.6453			0.800886
$543$	−7.57227	+	5.50158i	−0.324957	+	0.236095i
$544$	−0.303751	+	0.220688i	−0.0130232	+	0.00946193i
$545$	−25.8264	−	18.7640i	−1.10628	−	0.803761i
$546$	0.102600	−	0.315771i	0.00439088	−	0.0135137i
$547$	−28.9277			−1.23686			−0.618429	−	0.785841i	$-0.712231\pi$
$547$	−28.9277			−1.23686			−0.618429	+	0.785841i	$0.712231\pi$
$548$	4.56636	+	3.31765i	0.195065	+	0.141723i
$549$	0.772470	+	2.37742i	0.0329682	+	0.101466i
$550$	−2.93014	+	2.12887i	−0.124941	+	0.0907752i
$551$	0.600494	−	1.84813i	0.0255819	−	0.0787330i
$552$	4.19178	+	12.9010i	0.178414	+	0.549101i
$553$	1.67669	+	5.16031i	0.0713000	+	0.219439i
$554$	−11.8763	−	36.5516i	−0.504577	−	1.55293i
$555$	−16.8275	−	51.7897i	−0.714287	−	2.19835i
$556$	4.80475	−	14.7875i	0.203767	−	0.627130i
$557$	17.8740	−	12.9862i	0.757346	−	0.550244i	−0.140749	−	0.990045i	$-0.544951\pi$
$557$	17.8740	−	12.9862i	0.757346	−	0.550244i	0.898095	+	0.439801i	$0.144951\pi$
$558$	−0.842333	−	2.59243i	−0.0356588	−	0.109746i
$559$	0.143735	+	0.104430i	0.00607936	+	0.00441691i
$560$	−12.3305			−0.521057
$561$	−0.0944497	+	0.290686i	−0.00398767	+	0.0122728i
$562$	−38.7638	−	28.1635i	−1.63515	−	1.18801i
$563$	−13.7835	+	10.0143i	−0.580906	+	0.422053i	−0.839051	−	0.544053i	$-0.816889\pi$
$563$	−13.7835	+	10.0143i	−0.580906	+	0.422053i	0.258144	+	0.966106i	$0.416889\pi$
$564$	−11.3055	+	8.21395i	−0.476049	+	0.345870i
$565$	−21.3233			−0.897079
$566$	−41.1272	+	29.8807i	−1.72871	+	1.25598i
$567$	3.18688	+	9.80821i	0.133836	+	0.411906i
$568$	−0.399050	+	1.22815i	−0.0167438	+	0.0515320i
$569$	28.2903	+	20.5541i	1.18599	+	0.861672i	0.992835	−	0.119496i	$-0.0381280\pi$
$569$	28.2903	+	20.5541i	1.18599	+	0.861672i	0.193155	+	0.981168i	$0.438128\pi$
$570$	1.68556	+	1.22463i	0.0706002	+	0.0512940i
$571$	−38.5449			−1.61306			−0.806528	−	0.591196i	$-0.798656\pi$
$571$	−38.5449			−1.61306			−0.806528	+	0.591196i	$0.798656\pi$
$572$	−0.0455688	+	0.140246i	−0.00190533	+	0.00586400i
$573$	−9.18858			−0.383858
$574$	−8.66858	+	6.20784i	−0.361820	+	0.259110i
$575$	4.27097			0.178112
$576$	0.490246	−	1.50882i	0.0204269	−	0.0628676i
$577$	19.6031			0.816087			0.408043	−	0.912963i	$-0.366211\pi$
$577$	19.6031			0.816087			0.408043	+	0.912963i	$0.366211\pi$
$578$	−22.8903	−	16.6307i	−0.952109	−	0.691748i
$579$	−31.0561	−	22.5636i	−1.29065	−	0.937711i
$580$	4.32761	−	13.3190i	0.179694	−	0.553042i
$581$	−3.24138	−	9.97593i	−0.134475	−	0.413871i
$582$	24.0597	−	17.4804i	0.997307	−	0.724586i
$583$	11.2403			0.465526
$584$	−20.3633	+	14.7948i	−0.842638	+	0.612212i
$585$	0.113786	−	0.0826700i	0.00470445	−	0.00341799i
$586$	42.9652	+	31.2160i	1.77488	+	1.28952i
$587$	−10.5387	+	32.4348i	−0.434979	+	1.33873i	0.458130	+	0.888885i	$0.348519\pi$
$587$	−10.5387	+	32.4348i	−0.434979	+	1.33873i	−0.893109	+	0.449841i	$0.851481\pi$
$588$	1.45222			0.0598886
$589$	0.665123	+	0.483240i	0.0274059	+	0.0199115i
$590$	10.5680	+	32.5249i	0.435077	+	1.33903i
$591$	5.03085	−	3.65513i	0.206942	−	0.150352i
$592$	−17.7807	+	54.7235i	−0.730783	+	2.24912i
$593$	−12.2746	−	37.7772i	−0.504056	−	1.55132i	−0.802352	−	0.596851i	$-0.796418\pi$
$593$	−12.2746	−	37.7772i	−0.504056	−	1.55132i	0.298297	−	0.954473i	$-0.403582\pi$
$594$	−4.29291	−	13.2122i	−0.176140	−	0.542104i
$595$	0.0696226	+	0.214276i	0.00285425	+	0.00878447i
$596$	−2.73379	−	8.41375i	−0.111981	−	0.344641i
$597$	−0.322295	+	0.991923i	−0.0131907	+	0.0405967i
$598$	0.504804	−	0.366762i	0.0206430	−	0.0149980i
$599$	−13.2569	−	40.8007i	−0.541664	−	1.66707i	−0.728792	−	0.684735i	$-0.759918\pi$
$599$	−13.2569	−	40.8007i	−0.541664	−	1.66707i	0.187128	−	0.982335i	$-0.440082\pi$
$600$	−3.75734	−	2.72987i	−0.153393	−	0.111446i
$601$	26.3314			1.07408			0.537040	−	0.843557i	$-0.319543\pi$
$601$	26.3314			1.07408			0.537040	+	0.843557i	$0.319543\pi$
$602$	−0.861666	+	2.65194i	−0.0351189	+	0.108085i
$603$	3.55960	+	2.58620i	0.144958	+	0.105318i
$604$	11.2531	−	8.17585i	0.457882	−	0.332671i
$605$	−15.6531	+	11.3726i	−0.636388	+	0.462363i
$606$	12.2291			0.496774
$607$	18.1599	−	13.1939i	0.737086	−	0.535524i	−0.154711	−	0.987960i	$-0.549445\pi$
$607$	18.1599	−	13.1939i	0.737086	−	0.535524i	0.891797	+	0.452436i	$0.149445\pi$
$608$	−0.342845	−	1.05517i	−0.0139042	−	0.0427927i
$609$	4.22392	−	12.9999i	0.171162	−	0.526782i
$610$	−15.7733	−	11.4600i	−0.638642	−	0.464001i
$611$	−0.825963	−	0.600097i	−0.0334149	−	0.0242773i
$612$	0.0371688			0.00150246
$613$	−2.21439	+	6.81520i	−0.0894385	+	0.275263i	−0.985764	−	0.168132i	$-0.946226\pi$
$613$	−2.21439	+	6.81520i	−0.0894385	+	0.275263i	0.896326	+	0.443396i	$0.146226\pi$
$614$	29.2320			1.17971
$615$	−29.9855	−	0.205365i	−1.20913	−	0.00828112i
$616$	3.67584			0.148104
$617$	6.17720	−	19.0115i	0.248685	−	0.765373i	−0.746324	−	0.665583i	$-0.768183\pi$
$617$	6.17720	−	19.0115i	0.248685	−	0.765373i	0.995009	−	0.0997897i	$-0.0318170\pi$
$618$	18.1568			0.730373
$619$	35.3529	+	25.6854i	1.42095	+	1.03238i	0.991614	+	0.129238i	$0.0412530\pi$
$619$	35.3529	+	25.6854i	1.42095	+	1.03238i	0.429338	+	0.903144i	$0.358747\pi$
$620$	4.79337	+	3.48259i	0.192506	+	0.139864i
$621$	−5.06230	+	15.5802i	−0.203143	+	0.625210i
$622$	−2.33042	−	7.17228i	−0.0934412	−	0.287582i
$623$	−0.520275	+	0.378002i	−0.0208444	+	0.0151443i
$624$	−0.986671			−0.0394985
$625$	23.9339	−	17.3890i	0.957357	−	0.695561i
$626$	22.2018	−	16.1306i	0.887364	−	0.644707i
$627$	−0.730686	−	0.530874i	−0.0291808	−	0.0212011i
$628$	−0.512700	+	1.57793i	−0.0204590	+	0.0629662i
$629$	1.05137			0.0419208
$630$	1.78582	+	1.29747i	0.0711488	+	0.0516926i
$631$	−5.18894	−	15.9699i	−0.206569	−	0.635753i	−0.999645	−	0.0266310i	$-0.991522\pi$
$631$	−5.18894	−	15.9699i	−0.206569	−	0.635753i	0.793077	−	0.609122i	$-0.208478\pi$
$632$	8.97064	−	6.51755i	0.356833	−	0.259254i
$633$	13.6326	−	41.9567i	0.541846	−	1.66763i
$634$	−16.9859	−	52.2773i	−0.674597	−	2.07620i
$635$	−5.58890	−	17.2009i	−0.221789	−	0.682595i
$636$	−2.80436	−	8.63093i	−0.111200	−	0.342239i
$637$	0.0327857	+	0.100904i	0.00129902	+	0.00399797i
$638$	−6.73161	+	20.7178i	−0.266507	+	0.820224i
$639$	0.271965	−	0.197594i	0.0107588	−	0.00781671i
$640$	10.2187	+	31.4500i	0.403930	+	1.24317i
$641$	34.2740	+	24.9015i	1.35374	+	0.983551i	0.998816	+	0.0486571i	$0.0154942\pi$
$641$	34.2740	+	24.9015i	1.35374	+	0.983551i	0.354927	+	0.934894i	$0.384506\pi$
$642$	−1.69620			−0.0669436
$643$	−1.99537	+	6.14110i	−0.0786895	+	0.242181i	−0.982661	−	0.185411i	$-0.940638\pi$
$643$	−1.99537	+	6.14110i	−0.0786895	+	0.242181i	0.903971	+	0.427593i	$0.140638\pi$
$644$	2.20795	+	1.60417i	0.0870055	+	0.0632132i
$645$	−6.34440	+	4.60948i	−0.249811	+	0.181498i
$646$	−0.0325433	+	0.0236441i	−0.00128040	+	0.000930265i
$647$	41.9434			1.64897			0.824483	−	0.565886i	$-0.191466\pi$
$647$	41.9434			1.64897			0.824483	+	0.565886i	$0.191466\pi$
$648$	17.0505	−	12.3879i	0.669808	−	0.486644i
$649$	−4.58121	−	14.0995i	−0.179828	−	0.553454i
$650$	−0.0660169	+	0.203179i	−0.00258939	+	0.00796934i
$651$	4.67852	+	3.39915i	0.183366	+	0.133223i
$652$	4.37569	+	3.17912i	0.171365	+	0.124504i
$653$	32.0742			1.25516			0.627580	−	0.778552i	$-0.284045\pi$
$653$	32.0742			1.25516			0.627580	+	0.778552i	$0.284045\pi$
$654$	12.3889	−	38.1291i	0.484444	−	1.49096i
$655$	−6.99056			−0.273144
$656$	25.5054	+	18.7990i	0.995820	+	0.733978i
$657$	6.55240			0.255634
$658$	4.95149	−	15.2391i	0.193029	−	0.594083i
$659$	−20.5112			−0.799005			−0.399502	−	0.916732i	$-0.630817\pi$
$659$	−20.5112			−0.799005			−0.399502	+	0.916732i	$0.630817\pi$
$660$	−5.26587	−	3.82588i	−0.204974	−	0.148922i
$661$	2.58357	+	1.87707i	0.100489	+	0.0730097i	0.636895	−	0.770950i	$-0.280218\pi$
$661$	2.58357	+	1.87707i	0.100489	+	0.0730097i	−0.536406	+	0.843960i	$0.680218\pi$
$662$	−7.40925	+	22.8033i	−0.287969	+	0.886276i
$663$	0.00557113	+	0.0171462i	0.000216365	+	0.000665902i
$664$	−17.3421	+	12.5998i	−0.673003	+	0.488965i
$665$	−0.665767			−0.0258174
$666$	8.33346	−	6.05461i	0.322915	−	0.234611i
$667$	20.7821	−	15.0991i	0.804688	−	0.584640i
$668$	6.67895	+	4.85254i	0.258416	+	0.187750i
$669$	6.48141	−	19.9477i	0.250586	−	0.771223i
$670$	−34.3170			−1.32578
$671$	6.83770	+	4.96788i	0.263966	+	0.191783i
$672$	−2.41160	−	7.42213i	−0.0930294	−	0.286315i
$673$	9.25612	−	6.72497i	0.356797	−	0.259228i	−0.394918	−	0.918716i	$-0.629227\pi$
$673$	9.25612	−	6.72497i	0.356797	−	0.259228i	0.751715	+	0.659488i	$0.229227\pi$
$674$	−12.3494	+	38.0077i	−0.475682	+	1.46400i
$675$	−1.73323	−	5.33432i	−0.0667119	−	0.205318i
$676$	−3.10150	−	9.54545i	−0.119289	−	0.367133i
$677$	−1.66808	−	5.13383i	−0.0641096	−	0.197309i	0.913871	−	0.406004i	$-0.133078\pi$
$677$	−1.66808	−	5.13383i	−0.0641096	−	0.197309i	−0.977981	+	0.208695i	$0.933078\pi$
$678$	−8.27524	−	25.4686i	−0.317809	−	0.978115i
$679$	−2.93665	+	9.03808i	−0.112698	+	0.346850i
$680$	0.372496	−	0.270634i	0.0142846	−	0.0103784i
$681$	5.89779	+	18.1515i	0.226004	+	0.695569i
$682$	−7.45610	−	5.41718i	−0.285509	−	0.207434i
$683$	13.3522			0.510908			0.255454	−	0.966821i	$-0.417775\pi$
$683$	13.3522			0.510908			0.255454	+	0.966821i	$0.417775\pi$
$684$	−0.0339403	+	0.104457i	−0.00129774	+	0.00399403i
$685$	−14.7254	−	10.6986i	−0.562628	−	0.408773i
$686$	−1.34713	+	0.978750i	−0.0514338	+	0.0373688i
$687$	−1.39068	+	1.01039i	−0.0530577	+	0.0385487i
$688$	8.28635			0.315914
$689$	0.536388	−	0.389708i	0.0204347	−	0.0148467i
$690$	8.51088	+	26.1938i	0.324004	+	0.997181i
$691$	7.67852	−	23.6321i	0.292105	−	0.899006i	−0.692074	−	0.721827i	$-0.743303\pi$
$691$	7.67852	−	23.6321i	0.292105	−	0.899006i	0.984179	−	0.177179i	$-0.0566973\pi$
$692$	4.93041	+	3.58215i	0.187426	+	0.136173i
$693$	−0.774150	−	0.562453i	−0.0294075	−	0.0213658i
$694$	−17.2332			−0.654163
$695$	−15.4942	+	47.6861i	−0.587727	+	1.80884i
$696$	−27.9338			−1.05883
$697$	0.182672	−	0.549375i	0.00691919	−	0.0208091i
$698$	49.9437			1.89040
$699$	−12.9055	+	39.7190i	−0.488131	+	1.50231i
$700$	−0.934415			−0.0353176
$701$	−26.7454	−	19.4317i	−1.01016	−	0.733924i	−0.0459166	−	0.998945i	$-0.514621\pi$
$701$	−26.7454	−	19.4317i	−1.01016	−	0.733924i	−0.964242	+	0.265022i	$0.914621\pi$
$702$	−0.662933	−	0.481649i	−0.0250208	−	0.0181787i
$703$	−0.960047	+	2.95472i	−0.0362089	+	0.111439i
$704$	−1.65755	−	5.10142i	−0.0624713	−	0.192267i
$705$	36.4576	−	26.4880i	1.37307	−	0.997595i
$706$	27.7303			1.04364
$707$	−3.16147	+	2.29694i	−0.118899	+	0.0863855i
$708$	−9.68340	+	7.03540i	−0.363924	+	0.264407i
$709$	−13.7748	−	10.0080i	−0.517322	−	0.375857i	0.298272	−	0.954481i	$-0.403590\pi$
$709$	−13.7748	−	10.0080i	−0.517322	−	0.375857i	−0.815594	+	0.578624i	$0.803590\pi$
$710$	−0.810221	+	2.49360i	−0.0304070	+	0.0935832i
$711$	−2.88654			−0.108254
$712$	1.06323	+	0.772485i	0.0398464	+	0.0289501i
$713$	3.35840	+	10.3361i	0.125773	+	0.387090i
$714$	−0.228912	+	0.166314i	−0.00856682	+	0.00622416i
$715$	0.146948	−	0.452260i	0.00549556	−	0.0169136i
$716$	−5.06806	−	15.5979i	−0.189402	−	0.582920i
$717$	6.51452	+	20.0496i	0.243289	+	0.748767i
$718$	6.08655	+	18.7325i	0.227148	+	0.699089i
$719$	−14.0071	−	43.1095i	−0.522378	−	1.60771i	−0.769443	−	0.638715i	$-0.779466\pi$
$719$	−14.0071	−	43.1095i	−0.522378	−	1.60771i	0.247065	−	0.968999i	$-0.420534\pi$
$720$	2.02707	−	6.23869i	0.0755445	−	0.232502i
$721$	−4.69389	+	3.41031i	−0.174810	+	0.127007i
$722$	9.73990	+	29.9763i	0.362481	+	1.11560i
$723$	−32.4746	−	23.5942i	−1.20774	−	0.877478i
$724$	3.84841			0.143025
$725$	−2.71783	+	8.36462i	−0.100938	+	0.310654i
$726$	−19.6582	−	14.2825i	−0.729583	−	0.530073i
$727$	−14.2569	+	10.3583i	−0.528761	+	0.384167i	−0.819894	−	0.572515i	$-0.805968\pi$
$727$	−14.2569	+	10.3583i	−0.528761	+	0.384167i	0.291133	+	0.956682i	$0.405968\pi$
$728$	0.175411	−	0.127443i	0.00650116	−	0.00472337i
$729$	20.6645			0.765352
$730$	−41.3451	+	30.0389i	−1.53025	+	1.11179i
$731$	−0.0467879	−	0.143999i	−0.00173051	−	0.00532598i
$732$	2.10866	−	6.48980i	0.0779384	−	0.239870i
$733$	−25.7589	−	18.7149i	−0.951425	−	0.691251i	−0.000281793	−	1.00000i	$-0.500090\pi$
$733$	−25.7589	−	18.7149i	−0.951425	−	0.691251i	−0.951144	+	0.308749i	$0.900090\pi$
$734$	10.1581	+	7.38032i	0.374944	+	0.272413i
$735$	−4.68306			−0.172737
$736$	4.53215	−	13.9485i	0.167057	−	0.514149i
$737$	14.8764			0.547978
$738$	−1.71582	−	5.40647i	−0.0631603	−	0.199015i
$739$	17.1667			0.631486			0.315743	−	0.948845i	$-0.397746\pi$
$739$	17.1667			0.631486			0.315743	+	0.948845i	$0.397746\pi$
$740$	−6.91882	+	21.2939i	−0.254341	+	0.782781i
$741$	−0.0532740			−0.00195707
$742$	8.41839	+	6.11632i	0.309049	+	0.224537i
$743$	−0.364542	−	0.264855i	−0.0133738	−	0.00971660i	0.581078	−	0.813848i	$-0.302631\pi$
$743$	−0.364542	−	0.264855i	−0.0133738	−	0.00971660i	−0.594452	+	0.804131i	$0.702631\pi$
$744$	3.65199	−	11.2397i	0.133889	−	0.412067i
$745$	8.81582	+	27.1323i	0.322987	+	0.994051i
$746$	5.54175	−	4.02632i	0.202898	−	0.147414i
$747$	5.58026			0.204171
$748$	0.101669	−	0.0738669i	0.00371739	−	0.00270084i
$749$	0.438501	−	0.318590i	0.0160225	−	0.0116410i
$750$	23.9147	+	17.3751i	0.873242	+	0.634448i
$751$	6.17897	−	19.0169i	0.225474	−	0.693937i	−0.772769	−	0.634687i	$-0.781129\pi$
$751$	6.17897	−	19.0169i	0.225474	−	0.693937i	0.998243	−	0.0592503i	$-0.0188710\pi$
$752$	−47.6168			−1.73641
$753$	32.5303	+	23.6347i	1.18547	+	0.861295i
$754$	0.397065	+	1.22204i	0.0144602	+	0.0445040i
$755$	−36.2885	+	26.3651i	−1.32067	+	0.959525i
$756$	1.10754	−	3.40867i	0.0402810	−	0.123972i
$757$	−0.0926734	−	0.285219i	−0.00336827	−	0.0103665i	0.949358	−	0.314196i	$-0.101735\pi$
$757$	−0.0926734	−	0.285219i	−0.00336827	−	0.0103665i	−0.952727	+	0.303829i	$0.901735\pi$
$758$	14.8284	+	45.6371i	0.538591	+	1.65761i
$759$	−3.68945	−	11.3550i	−0.133919	−	0.412159i
$760$	0.420437	+	1.29397i	0.0152509	+	0.0469373i
$761$	−7.30580	+	22.4849i	−0.264835	+	0.815078i	0.726896	+	0.686747i	$0.240962\pi$
$761$	−7.30580	+	22.4849i	−0.264835	+	0.815078i	−0.991731	+	0.128331i	$0.959038\pi$
$762$	18.3757	−	13.3508i	0.665683	−	0.483647i
$763$	3.95885	+	12.1841i	0.143320	+	0.441094i
$764$	3.05646	+	2.22065i	0.110579	+	0.0803402i
$765$	−0.119860			−0.00433356
$766$	8.53086	−	26.2553i	0.308233	−	0.948642i
$767$	−0.707453	−	0.513995i	−0.0255447	−	0.0185593i
$768$	−24.5299	+	17.8220i	−0.885147	+	0.643097i
$769$	15.7237	−	11.4240i	0.567013	−	0.411959i	−0.267006	−	0.963695i	$-0.586034\pi$
$769$	15.7237	−	11.4240i	0.567013	−	0.411959i	0.834019	+	0.551736i	$0.186034\pi$
$770$	7.46333			0.268960
$771$	−10.6653	+	7.74879i	−0.384101	+	0.279066i
$772$	4.87736	+	15.0110i	0.175540	+	0.540257i
$773$	−2.87246	+	8.84052i	−0.103315	+	0.317971i	−0.989331	−	0.145683i	$-0.953462\pi$
$773$	−2.87246	+	8.84052i	−0.103315	+	0.317971i	0.886016	+	0.463654i	$0.153462\pi$
$774$	−1.20011	−	0.871932i	−0.0431371	−	0.0313409i
$775$	−3.01034	−	2.18714i	−0.108135	−	0.0785644i
$776$	19.4208			0.697165
$777$	−6.75304	+	20.7837i	−0.242264	+	0.745612i
$778$	−11.0889			−0.397558
$779$	1.37713	+	1.01503i	0.0493409	+	0.0363672i
$780$	−0.383933			−0.0137470
$781$	0.351229	−	1.08097i	0.0125680	−	0.0386802i
$782$	−0.531754			−0.0190155
$783$	−27.2921	−	19.8289i	−0.975340	−	0.708626i
$784$	4.00329	+	2.90856i	0.142975	+	0.103877i
$785$	1.65333	−	5.08844i	0.0590100	−	0.181614i
$786$	−2.71293	−	8.34953i	−0.0967668	−	0.297818i
$787$	−0.0396894	+	0.0288360i	−0.00141477	+	0.00102789i	−0.588492	−	0.808503i	$-0.700278\pi$
$787$	−0.0396894	+	0.0288360i	−0.00141477	+	0.00102789i	0.587078	+	0.809531i	$0.300278\pi$
$788$	−2.55680			−0.0910822
$789$	6.69426	−	4.86366i	0.238322	−	0.173151i
$790$	18.2138	−	13.2331i	0.648017	−	0.470812i
$791$	6.92298	+	5.02984i	0.246153	+	0.178840i
$792$	−0.604291	+	1.85982i	−0.0214725	+	0.0660857i
$793$	0.498534			0.0177035
$794$	−19.5983	−	14.2390i	−0.695517	−	0.505322i
$795$	9.04338	+	27.8326i	0.320735	+	0.987122i
$796$	0.346930	−	0.252059i	0.0122966	−	0.00893401i
$797$	3.67076	−	11.2974i	0.130025	−	0.400176i	−0.864758	−	0.502189i	$-0.832528\pi$
$797$	3.67076	−	11.2974i	0.130025	−	0.400176i	0.994783	+	0.102013i	$0.0325283\pi$
$798$	−0.258374	−	0.795193i	−0.00914633	−	0.0281495i
$799$	0.268863	+	0.827475i	0.00951169	+	0.0292740i
$800$	1.55171	+	4.77568i	0.0548614	+	0.168846i
$801$	−0.105722	−	0.325378i	−0.00373550	−	0.0114967i
$802$	3.29949	−	10.1548i	0.116509	−	0.358578i
$803$	17.9230	−	13.0218i	0.632489	−	0.459530i
$804$	−3.71152	−	11.4229i	−0.130895	−	0.402854i
$805$	−7.12011	−	5.17306i	−0.250951	−	0.182327i
$806$	−0.543622			−0.0191483
$807$	−11.0792	+	34.0983i	−0.390007	+	1.20032i
$808$	6.46079	+	4.69404i	0.227290	+	0.165136i
$809$	33.8978	−	24.6282i	1.19178	−	0.865880i	0.198330	−	0.980135i	$-0.436448\pi$
$809$	33.8978	−	24.6282i	1.19178	−	0.865880i	0.993451	+	0.114255i	$0.0364481\pi$
$810$	34.6190	−	25.1521i	1.21639	−	0.883756i
$811$	30.6270			1.07546			0.537730	−	0.843117i	$-0.319282\pi$
$811$	30.6270			1.07546			0.537730	+	0.843117i	$0.319282\pi$
$812$	−4.54678	+	3.30343i	−0.159561	+	0.115928i
$813$	−6.50294	−	20.0140i	−0.228068	−	0.701921i
$814$	10.7622	−	33.1228i	0.377216	−	1.16095i
$815$	−14.1105	−	10.2519i	−0.494270	−	0.359108i
$816$	0.680261	+	0.494239i	0.0238139	+	0.0173018i
$817$	0.447411			0.0156529
$818$	3.92862	−	12.0911i	0.137361	−	0.422754i
$819$	−0.0564430			−0.00197228
$820$	9.92465	+	7.31505i	0.346584	+	0.255453i
$821$	−29.1504			−1.01736			−0.508678	−	0.860957i	$-0.669866\pi$
$821$	−29.1504			−1.01736			−0.508678	+	0.860957i	$0.669866\pi$
$822$	7.06374	−	21.7400i	0.246376	−	0.758268i
$823$	12.6535			0.441074			0.220537	−	0.975379i	$-0.429219\pi$
$823$	12.6535			0.441074			0.220537	+	0.975379i	$0.429219\pi$
$824$	9.59245	+	6.96932i	0.334169	+	0.242788i
$825$	3.30708	+	2.40273i	0.115138	+	0.0836524i
$826$	4.24104	−	13.0526i	0.147565	−	0.454158i
$827$	−0.908222	−	2.79522i	−0.0315820	−	0.0971993i	0.934023	−	0.357213i	$-0.116273\pi$
$827$	−0.908222	−	2.79522i	−0.0315820	−	0.0971993i	−0.965605	+	0.260014i	$0.916273\pi$
$828$	−1.17462	+	0.853411i	−0.0408208	+	0.0296581i
$829$	−29.2706			−1.01661			−0.508305	−	0.861177i	$-0.669728\pi$
$829$	−29.2706			−1.01661			−0.508305	+	0.861177i	$0.669728\pi$
$830$	−35.2109	+	25.5822i	−1.22219	+	0.887972i
$831$	−35.0925	+	25.4962i	−1.21735	+	0.884453i
$832$	−0.255967	−	0.185971i	−0.00887407	−	0.00644739i
$833$	0.0279403	−	0.0859913i	0.000968073	−	0.00297942i
$834$	−62.9693			−2.18045
$835$	−21.5380	−	15.6483i	−0.745352	−	0.541530i
$836$	0.114754	+	0.353177i	0.00396885	+	0.0122149i
$837$	11.5466	−	8.38911i	0.399110	−	0.289970i
$838$	−19.3811	+	59.6490i	−0.669510	+	2.06054i
$839$	3.40620	+	10.4832i	0.117595	+	0.361920i	0.992479	−	0.122411i	$-0.0390628\pi$
$839$	3.40620	+	10.4832i	0.117595	+	0.361920i	−0.874884	+	0.484332i	$0.839063\pi$
$840$	2.95739	+	9.10191i	0.102040	+	0.314046i
$841$	7.38516	+	22.7292i	0.254661	+	0.783765i
$842$	−2.24456	−	6.90804i	−0.0773526	−	0.238067i
$843$	−16.7112	+	51.4318i	−0.575564	+	1.77141i
$844$	−14.6746	+	10.6617i	−0.505120	+	0.366991i
$845$	10.0016	+	30.7817i	0.344065	+	1.05892i
$846$	6.89634	+	5.01048i	0.237101	+	0.172264i
$847$	7.76466			0.266797
$848$	9.55566	−	29.4093i	0.328143	−	1.00992i
$849$	46.4180	+	33.7246i	1.59306	+	1.15743i
$850$	0.147291	−	0.107013i	0.00505203	−	0.00367052i
$851$	−33.2257	+	24.1399i	−1.13896	+	0.827505i
$852$	−0.917658			−0.0314385
$853$	−1.83730	+	1.33487i	−0.0629078	+	0.0457052i	−0.618795	−	0.785553i	$-0.712379\pi$
$853$	−1.83730	+	1.33487i	−0.0629078	+	0.0457052i	0.555887	+	0.831258i	$0.312379\pi$
$854$	2.41784	+	7.44135i	0.0827368	+	0.254638i
$855$	0.109449	−	0.336850i	0.00374308	−	0.0115200i
$856$	−0.896122	−	0.651071i	−0.0306288	−	0.0222532i
$857$	36.7853	+	26.7261i	1.25656	+	0.912945i	0.998584	−	0.0532062i	$-0.0169441\pi$
$857$	36.7853	+	26.7261i	1.25656	+	0.912945i	0.257977	+	0.966151i	$0.416944\pi$
$858$	0.597208			0.0203884
$859$	−10.9382	+	33.6645i	−0.373208	+	1.14862i	0.571472	+	0.820622i	$0.306373\pi$
$859$	−10.9382	+	33.6645i	−0.373208	+	1.14862i	−0.944680	+	0.327995i	$0.893627\pi$
$860$	3.22438			0.109950
$861$	9.68686	+	7.13979i	0.330127	+	0.243323i
$862$	−22.0735			−0.751828
$863$	5.26355	−	16.1995i	0.179173	−	0.551439i	−0.820626	−	0.571466i	$-0.806375\pi$
$863$	5.26355	−	16.1995i	0.179173	−	0.551439i	0.999799	+	0.0200265i	$0.00637506\pi$
$864$	−19.2605			−0.655257
$865$	−15.8994	−	11.5516i	−0.540594	−	0.392765i
$866$	38.9033	+	28.2649i	1.32199	+	0.960480i
$867$	−9.86807	+	30.3708i	−0.335137	+	1.03145i
$868$	−0.734761	−	2.26136i	−0.0249394	−	0.0767556i
$869$	−7.89564	+	5.73652i	−0.267841	+	0.194598i
$870$	−56.7160			−1.92285
$871$	0.709899	−	0.515772i	0.0240540	−	0.0174763i
$872$	21.1807	−	15.3887i	0.717270	−	0.521127i
$873$	−4.09011	−	2.97164i	−0.138429	−	0.100575i
$874$	0.485565	−	1.49442i	0.0164245	−	0.0505494i
$875$	−9.44593			−0.319331
$876$	−14.4705	−	10.5134i	−0.488913	−	0.355216i
$877$	10.8904	+	33.5171i	0.367742	+	1.13179i	0.948246	+	0.317536i	$0.102855\pi$
$877$	10.8904	+	33.5171i	0.367742	+	1.13179i	−0.580505	+	0.814257i	$0.697145\pi$
$878$	29.6801	−	21.5638i	1.00165	−	0.727745i
$879$	18.5224	−	57.0062i	0.624747	−	1.92277i
$880$	−6.85365	−	21.0934i	−0.231037	−	0.711057i
$881$	−1.56649	−	4.82117i	−0.0527765	−	0.162429i	0.921194	−	0.389103i	$-0.127215\pi$
$881$	−1.56649	−	4.82117i	−0.0527765	−	0.162429i	−0.973971	+	0.226673i	$0.927215\pi$
$882$	−0.273743	−	0.842494i	−0.00921740	−	0.0283682i
$883$	−2.24991	−	6.92451i	−0.0757154	−	0.233028i	0.906035	−	0.423203i	$-0.139094\pi$
$883$	−2.24991	−	6.92451i	−0.0757154	−	0.233028i	−0.981750	+	0.190175i	$0.939094\pi$
$884$	0.00229063	−	0.00704985i	7.70424e−5	−	0.000237112i
$885$	31.2266	−	22.6875i	1.04967	−	0.762630i
$886$	−8.06085	−	24.8087i	−0.270809	−	0.833466i
$887$	16.2835	+	11.8306i	0.546746	+	0.397234i	0.826584	−	0.562813i	$-0.190281\pi$
$887$	16.2835	+	11.8306i	0.546746	+	0.397234i	−0.279838	+	0.960047i	$0.590281\pi$
$888$	44.6595			1.49867
$889$	−2.24288	+	6.90288i	−0.0752238	+	0.231515i
$890$	2.15877	+	1.56844i	0.0723620	+	0.0525741i
$891$	−15.0073	+	10.9034i	−0.502762	+	0.365278i
$892$	−6.97682	+	5.06895i	−0.233601	+	0.169721i
$893$	−2.57101			−0.0860355
$894$	−28.9855	+	21.0592i	−0.969422	+	0.704326i
$895$	16.3433	+	50.2994i	0.546295	+	1.68132i
$896$	4.10088	−	12.6212i	0.137001	−	0.421645i
$897$	−0.569744	−	0.413943i	−0.0190232	−	0.0138212i
$898$	−51.2617	−	37.2438i	−1.71063	−	1.24284i
$899$	−22.3802			−0.746422
$900$	0.153613	−	0.472774i	0.00512045	−	0.0157591i
$901$	−0.565024			−0.0188237
$902$	−15.4378	−	11.3786i	−0.514023	−	0.378865i
$903$	3.14712			0.104730
$904$	5.40398	−	16.6317i	0.179734	−	0.553164i
$905$	−12.4102			−0.412529
$906$	−45.5735	−	33.1111i	−1.51408	−	1.10004i
$907$	−15.8931	−	11.5470i	−0.527722	−	0.383413i	0.291783	−	0.956485i	$-0.405752\pi$
$907$	−15.8931	−	11.5470i	−0.527722	−	0.383413i	−0.819505	+	0.573072i	$0.805752\pi$
$908$	2.42495	−	7.46322i	0.0804747	−	0.247676i
$909$	−0.642424	−	1.97718i	−0.0213078	−	0.0655788i
$910$	0.356150	−	0.258758i	0.0118063	−	0.00857775i
$911$	−19.1878			−0.635721			−0.317861	−	0.948137i	$-0.602964\pi$
$911$	−19.1878			−0.635721			−0.317861	+	0.948137i	$0.602964\pi$
$912$	−2.01016	+	1.46047i	−0.0665630	+	0.0483609i
$913$	15.2639	−	11.0899i	0.505161	−	0.367021i
$914$	10.7823	+	7.83380i	0.356647	+	0.259119i
$915$	−6.79993	+	20.9280i	−0.224799	+	0.691859i
$916$	0.706776			0.0233525
$917$	2.26960	+	1.64896i	0.0749489	+	0.0544536i
$918$	0.215794	+	0.664146i	0.00712227	+	0.0219201i
$919$	−28.1563	+	20.4567i	−0.928790	+	0.674805i	−0.945696	−	0.325052i	$-0.894618\pi$
$919$	−28.1563	+	20.4567i	−0.928790	+	0.674805i	0.0169062	+	0.999857i	$0.494618\pi$
$920$	−5.55786	+	17.1053i	−0.183237	+	0.563946i
$921$	−10.1953	−	31.3778i	−0.335945	−	1.03393i
$922$	−16.6488	−	51.2397i	−0.548299	−	1.68749i
$923$	−0.0207173	−	0.0637613i	−0.000681918	−	0.00209873i
$924$	0.807189	+	2.48427i	0.0265546	+	0.0817266i
$925$	4.34517	−	13.3730i	0.142868	−	0.439703i
$926$	−48.0189	+	34.8877i	−1.57800	+	1.14648i
$927$	−0.953817	−	2.93555i	−0.0313275	−	0.0964161i
$928$	24.4339	+	17.7523i	0.802083	+	0.582747i
$929$	27.9155			0.915877			0.457939	−	0.888984i	$-0.348588\pi$
$929$	27.9155			0.915877			0.457939	+	0.888984i	$0.348588\pi$
$930$	7.41492	−	22.8208i	0.243145	−	0.748322i
$931$	0.216153	+	0.157044i	0.00708412	+	0.00514691i
$932$	13.8919	−	10.0931i	0.455046	−	0.330610i
$933$	−6.88598	+	5.00296i	−0.225437	+	0.163789i
$934$	64.6550			2.11558
$935$	−0.327858	+	0.238203i	−0.0107221	+	0.00779006i
$936$	0.0356442	+	0.109701i	0.00116507	+	0.00358571i
$937$	−14.9253	+	45.9355i	−0.487589	+	1.50065i	0.340606	+	0.940206i	$0.389368\pi$
$937$	−14.9253	+	45.9355i	−0.487589	+	1.50065i	−0.828195	+	0.560440i	$0.810632\pi$
$938$	11.1416	+	8.09484i	0.363786	+	0.264306i
$939$	−25.0580	−	18.2057i	−0.817736	−	0.594120i
$940$	−18.5286			−0.604337
$941$	3.45017	−	10.6185i	0.112472	−	0.346155i	−0.878939	−	0.476934i	$-0.841748\pi$
$941$	3.45017	−	10.6185i	0.112472	−	0.346155i	0.991411	+	0.130780i	$0.0417480\pi$
$942$	6.71926			0.218925
$943$	6.84103	+	21.5557i	0.222775	+	0.701951i
$944$	−40.7847			−1.32743
$945$	−3.57156	+	10.9921i	−0.116183	+	0.357574i
$946$	−5.01553			−0.163069
$947$	−19.4925	−	14.1621i	−0.633420	−	0.460206i	0.224164	−	0.974552i	$-0.428035\pi$
$947$	−19.4925	−	14.1621i	−0.633420	−	0.460206i	−0.857583	+	0.514345i	$0.828035\pi$
$948$	6.37470	+	4.63149i	0.207041	+	0.150424i
$949$	0.403811	−	1.24280i	0.0131083	−	0.0403431i
$950$	0.166248	+	0.511657i	0.00539378	+	0.0166004i
$951$	−50.1905	+	36.4655i	−1.62754	+	1.18248i
$952$	−0.184776			−0.00598861
$953$	20.8527	−	15.1504i	0.675484	−	0.490768i	−0.196372	−	0.980529i	$-0.562916\pi$
$953$	20.8527	−	15.1504i	0.675484	−	0.490768i	0.871857	+	0.489761i	$0.162916\pi$
$954$	−4.47854	+	3.25385i	−0.144998	+	0.105347i
$955$	−9.85634	−	7.16105i	−0.318944	−	0.231726i
$956$	2.67852	−	8.24364i	0.0866296	−	0.266618i
$957$	24.5863			0.794762
$958$	−7.05222	−	5.12373i	−0.227847	−	0.165540i
$959$	2.25721	+	6.94697i	0.0728891	+	0.224330i
$960$	11.2983	−	8.20867i	0.364650	−	0.264934i
$961$	−6.65359	+	20.4777i	−0.214632	+	0.660569i
$962$	−0.634812	−	1.95375i	−0.0204672	−	0.0629915i
$963$	0.0891052	+	0.274238i	0.00287137	+	0.00883718i
$964$	5.10013	+	15.6966i	0.164264	+	0.505553i
$965$	−15.7283	−	48.4067i	−0.506312	−	1.55827i
$966$	3.41550	−	10.5118i	0.109892	−	0.338213i
$967$	−27.0873	+	19.6801i	−0.871069	+	0.632868i	−0.930873	−	0.365342i	$-0.880952\pi$
$967$	−27.0873	+	19.6801i	−0.871069	+	0.632868i	0.0598049	+	0.998210i	$0.480952\pi$
$968$	−4.90344	−	15.0912i	−0.157603	−	0.485051i
$969$	0.0367298	+	0.0266858i	0.00117993	+	0.000857270i
$970$	39.4314			1.26607
$971$	−13.2891	+	40.8996i	−0.426467	+	1.31253i	0.475115	+	0.879924i	$0.342406\pi$
$971$	−13.2891	+	40.8996i	−0.426467	+	1.31253i	−0.901582	+	0.432608i	$0.857594\pi$
$972$	3.41764	+	2.48306i	0.109621	+	0.0796443i
$973$	16.2788	−	11.8273i	0.521876	−	0.379165i
$974$	21.5804	−	15.6791i	0.691480	−	0.502389i
$975$	0.241118			0.00772195
$976$	18.8109	−	13.6669i	0.602122	−	0.437468i
$977$	2.25809	+	6.94970i	0.0722428	+	0.222340i	0.980658	−	0.195728i	$-0.0627071\pi$
$977$	2.25809	+	6.94970i	0.0722428	+	0.222340i	−0.908415	+	0.418069i	$0.862707\pi$
$978$	6.76879	−	20.8322i	0.216442	−	0.666140i
$979$	−0.935821	−	0.679914i	−0.0299090	−	0.0217301i
$980$	1.55776	+	1.13178i	0.0497608	+	0.0361533i
$981$	−6.81544			−0.217600
$982$	−19.0700	+	58.6914i	−0.608548	+	1.87292i
$983$	−29.2926			−0.934288			−0.467144	−	0.884181i	$-0.654717\pi$
$983$	−29.2926			−0.934288			−0.467144	+	0.884181i	$0.654717\pi$
$984$	7.75943	−	23.3360i	0.247361	−	0.743925i
$985$	8.24505			0.262709
$986$	0.338382	−	1.04143i	0.0107763	−	0.0331659i
$987$	−18.0847			−0.575641
$988$	0.0177209	+	0.0128750i	0.000563777	+	0.000409608i
$989$	4.78487	+	3.47641i	0.152150	+	0.110544i
$990$	−1.22694	+	3.77613i	−0.0389946	+	0.120013i
$991$	−12.7299	−	39.1785i	−0.404378	−	1.24455i	−0.921414	−	0.388583i	$-0.872965\pi$
$991$	−12.7299	−	39.1785i	−0.404378	−	1.24455i	0.517036	−	0.855964i	$-0.327035\pi$
$992$	−10.3374	+	7.51056i	−0.328213	+	0.238460i
$993$	27.0613			0.858764
$994$	0.851254	−	0.618472i	0.0270001	−	0.0196167i
$995$	−1.11876	+	0.812830i	−0.0354672	+	0.0257684i
$996$	−12.3236	−	8.95362i	−0.390488	−	0.283706i
$997$	16.9222	−	52.0812i	0.535932	−	1.64943i	−0.205696	−	0.978616i	$-0.565946\pi$
$997$	16.9222	−	52.0812i	0.535932	−	1.64943i	0.741627	−	0.670812i	$-0.234054\pi$
$998$	34.0787			1.07874
$999$	43.6336	+	31.7017i	1.38051	+	1.00300i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.h.d.57.2	✓	40
41.18	even	5	inner	287.2.h.d.141.2	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.d.57.2	✓	40	1.1	even	1	trivial
287.2.h.d.141.2	yes	40	41.18	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.514559 + 1.58365i) q^{2} +1.87936 q^{3} +(-0.625144 - 0.454194i) q^{4} +(2.01594 + 1.46467i) q^{5} +(-0.967042 + 2.97625i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-1.65331 + 1.20120i) q^{8} +0.531995 q^{9} +O(q^{10})\)	\(q+(-0.514559 + 1.58365i) q^{2} +1.87936 q^{3} +(-0.625144 - 0.454194i) q^{4} +(2.01594 + 1.46467i) q^{5} +(-0.967042 + 2.97625i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-1.65331 + 1.20120i) q^{8} +0.531995 q^{9} +(-3.35684 + 2.43889i) q^{10} +(1.45518 - 1.05725i) q^{11} +(-1.17487 - 0.853594i) q^{12} +(0.0327857 - 0.100904i) q^{13} +1.66515 q^{14} +(3.78867 + 2.75263i) q^{15} +(-1.52912 - 4.70616i) q^{16} +(-0.0731486 + 0.0531455i) q^{17} +(-0.273743 + 0.842494i) q^{18} +(-0.0825630 - 0.254103i) q^{19} +(-0.595011 - 1.83125i) q^{20} +(-0.580754 - 1.78738i) q^{21} +(0.925541 + 2.84852i) q^{22} +(1.09142 - 3.35904i) q^{23} +(-3.10716 + 2.25749i) q^{24} +(0.373679 + 1.15007i) q^{25} +(0.142927 + 0.103842i) q^{26} -4.63827 q^{27} +(-0.238784 + 0.734901i) q^{28} +(5.88411 + 4.27506i) q^{29} +(-6.30871 + 4.58354i) q^{30} +(-2.48942 + 1.80867i) q^{31} +4.15253 q^{32} +(2.73481 - 1.98696i) q^{33} +(-0.0465247 - 0.143188i) q^{34} +(0.770020 - 2.36988i) q^{35} +(-0.332574 - 0.241629i) q^{36} +(-9.40730 - 6.83480i) q^{37} +0.444893 q^{38} +(0.0616162 - 0.189635i) q^{39} -5.09232 q^{40} +(-5.20589 + 3.72810i) q^{41} +3.12941 q^{42} +(-0.517471 + 1.59261i) q^{43} -1.38990 q^{44} +(1.07247 + 0.779194i) q^{45} +(4.75795 + 3.45686i) q^{46} +(2.97360 - 9.15181i) q^{47} +(-2.87377 - 8.84456i) q^{48} +(-0.809017 + 0.587785i) q^{49} -2.01358 q^{50} +(-0.137472 + 0.0998796i) q^{51} +(-0.0663259 + 0.0481886i) q^{52} +(5.05564 + 3.67314i) q^{53} +(2.38667 - 7.34540i) q^{54} +4.48208 q^{55} +(1.65331 + 1.20120i) q^{56} +(-0.155166 - 0.477550i) q^{57} +(-9.79792 + 7.11861i) q^{58} +(2.54695 - 7.83869i) q^{59} +(-1.11824 - 3.44159i) q^{60} +(1.45203 + 4.46888i) q^{61} +(-1.58335 - 4.87305i) q^{62} +(-0.164395 - 0.505957i) q^{63} +(0.921524 - 2.83616i) q^{64} +(0.213885 - 0.155396i) q^{65} +(1.73942 + 5.35340i) q^{66} +(6.69105 + 4.86133i) q^{67} +0.0698668 q^{68} +(2.05117 - 6.31285i) q^{69} +(3.35684 + 2.43889i) q^{70} +(0.511218 - 0.371421i) q^{71} +(-0.879552 + 0.639032i) q^{72} +12.3167 q^{73} +(15.6646 - 11.3810i) q^{74} +(0.702278 + 2.16139i) q^{75} +(-0.0637981 + 0.196350i) q^{76} +(-1.45518 - 1.05725i) q^{77} +(0.268611 + 0.195157i) q^{78} -5.42587 q^{79} +(3.81032 - 11.7270i) q^{80} -10.3130 q^{81} +(-3.22526 - 10.1626i) q^{82} +10.4893 q^{83} +(-0.448761 + 1.38114i) q^{84} -0.225303 q^{85} +(-2.25587 - 1.63899i) q^{86} +(11.0584 + 8.03437i) q^{87} +(-1.13590 + 3.49593i) q^{88} +(-0.198727 - 0.611620i) q^{89} +(-1.78582 + 1.29747i) q^{90} -0.106097 q^{91} +(-2.20795 + 1.60417i) q^{92} +(-4.67852 + 3.39915i) q^{93} +(12.9632 + 9.41830i) q^{94} +(0.205733 - 0.633183i) q^{95} +7.80409 q^{96} +(-7.68825 - 5.58584i) q^{97} +(-0.514559 - 1.58365i) q^{98} +(0.774150 - 0.562453i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * q^99

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