LMFDB - Embedded newform 287.2.h.d.57.1

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			57.1
Character	$\chi$	$=$	287.57
Dual form			287.2.h.d.141.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.837127 + 2.57641i) q^{2} +0.305172 q^{3} +(-4.31909 - 3.13800i) q^{4} +(-1.36956 - 0.995044i) q^{5} +(-0.255467 + 0.786248i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(7.31716 - 5.31623i) q^{8} -2.90687 q^{9} +O(q^{10})$	\(q+(-0.837127 + 2.57641i) q^{2} +0.305172 q^{3} +(-4.31909 - 3.13800i) q^{4} +(-1.36956 - 0.995044i) q^{5} +(-0.255467 + 0.786248i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(7.31716 - 5.31623i) q^{8} -2.90687 q^{9} +(3.71014 - 2.69558i) q^{10} +(1.88312 - 1.36816i) q^{11} +(-1.31806 - 0.957629i) q^{12} +(0.124902 - 0.384408i) q^{13} +2.70900 q^{14} +(-0.417951 - 0.303659i) q^{15} +(4.27192 + 13.1476i) q^{16} +(4.52061 - 3.28441i) q^{17} +(2.43342 - 7.48930i) q^{18} +(-0.472137 - 1.45309i) q^{19} +(2.79281 + 8.59537i) q^{20} +(-0.0943032 - 0.290235i) q^{21} +(1.94855 + 5.99701i) q^{22} +(1.13819 - 3.50298i) q^{23} +(2.23299 - 1.62236i) q^{24} +(-0.659501 - 2.02973i) q^{25} +(0.885835 + 0.643597i) q^{26} -1.80261 q^{27} +(-1.64975 + 5.07739i) q^{28} +(-6.15405 - 4.47118i) q^{29} +(1.13223 - 0.822613i) q^{30} +(-6.75579 + 4.90837i) q^{31} -19.3608 q^{32} +(0.574673 - 0.417525i) q^{33} +(4.67768 + 14.3964i) q^{34} +(-0.523126 + 1.61002i) q^{35} +(12.5550 + 9.12176i) q^{36} +(-0.965031 - 0.701136i) q^{37} +4.13899 q^{38} +(0.0381165 - 0.117310i) q^{39} -15.3112 q^{40} +(-2.03646 - 6.07065i) q^{41} +0.826710 q^{42} +(1.18950 - 3.66090i) q^{43} -12.4266 q^{44} +(3.98114 + 2.89247i) q^{45} +(8.07231 + 5.86488i) q^{46} +(-1.65207 + 5.08454i) q^{47} +(1.30367 + 4.01228i) q^{48} +(-0.809017 + 0.587785i) q^{49} +5.78152 q^{50} +(1.37956 - 1.00231i) q^{51} +(-1.74573 + 1.26835i) q^{52} +(1.86641 + 1.35602i) q^{53} +(1.50901 - 4.64427i) q^{54} -3.94043 q^{55} +(-7.31716 - 5.31623i) q^{56} +(-0.144083 - 0.443441i) q^{57} +(16.6713 - 12.1124i) q^{58} +(3.03860 - 9.35186i) q^{59} +(0.852285 + 2.62306i) q^{60} +(4.13122 + 12.7146i) q^{61} +(-6.99053 - 21.5146i) q^{62} +(0.898272 + 2.76460i) q^{63} +(7.66361 - 23.5862i) q^{64} +(-0.553564 + 0.402188i) q^{65} +(0.594641 + 1.83012i) q^{66} +(-1.36369 - 0.990781i) q^{67} -29.8314 q^{68} +(0.347342 - 1.06901i) q^{69} +(-3.71014 - 2.69558i) q^{70} +(12.7141 - 9.23732i) q^{71} +(-21.2700 + 15.4536i) q^{72} -14.9695 q^{73} +(2.61427 - 1.89938i) q^{74} +(-0.201261 - 0.619417i) q^{75} +(-2.52059 + 7.75758i) q^{76} +(-1.88312 - 1.36816i) q^{77} +(0.270332 + 0.196408i) q^{78} +8.03993 q^{79} +(7.23180 - 22.2572i) q^{80} +8.17051 q^{81} +(17.3453 - 0.164841i) q^{82} -11.4096 q^{83} +(-0.503455 + 1.54948i) q^{84} -9.45939 q^{85} +(8.43623 + 6.12928i) q^{86} +(-1.87804 - 1.36448i) q^{87} +(6.50559 - 20.0221i) q^{88} +(-1.73973 - 5.35433i) q^{89} +(-10.7849 + 7.83569i) q^{90} -0.404191 q^{91} +(-15.9083 + 11.5580i) q^{92} +(-2.06168 + 1.49790i) q^{93} +(-11.7169 - 8.51281i) q^{94} +(-0.799267 + 2.45989i) q^{95} -5.90836 q^{96} +(10.6906 + 7.76719i) q^{97} +(-0.837127 - 2.57641i) q^{98} +(-5.47397 + 3.97707i) 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 $

$2$	−0.837127	+	2.57641i	−0.591938	+	1.82180i	−0.0225276	+	0.999746i	$0.507171\pi$
$2$	−0.837127	+	2.57641i	−0.591938	+	1.82180i	−0.569411	+	0.822053i	$0.692829\pi$
$3$	0.305172			0.176191			0.0880954	−	0.996112i	$-0.471922\pi$
$3$	0.305172			0.176191			0.0880954	+	0.996112i	$0.471922\pi$
$4$	−4.31909	−	3.13800i	−2.15954	−	1.56900i
$5$	−1.36956	−	0.995044i	−0.612486	−	0.444997i	0.237803	−	0.971314i	$-0.423573\pi$
$5$	−1.36956	−	0.995044i	−0.612486	−	0.444997i	−0.850289	+	0.526316i	$0.823573\pi$
$6$	−0.255467	+	0.786248i	−0.104294	+	0.320984i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$8$	7.31716	−	5.31623i	2.58701	−	1.87957i
$9$	−2.90687			−0.968957
$10$	3.71014	−	2.69558i	1.17325	−	0.852416i
$11$	1.88312	−	1.36816i	0.567781	−	0.412517i	−0.266518	−	0.963830i	$-0.585873\pi$
$11$	1.88312	−	1.36816i	0.567781	−	0.412517i	0.834298	+	0.551313i	$0.185873\pi$
$12$	−1.31806	−	0.957629i	−0.380492	−	0.276444i
$13$	0.124902	−	0.384408i	0.0346415	−	0.106616i	−0.932241	−	0.361839i	$-0.882149\pi$
$13$	0.124902	−	0.384408i	0.0346415	−	0.106616i	0.966882	+	0.255223i	$0.0821490\pi$
$14$	2.70900			0.724011
$15$	−0.417951	−	0.303659i	−0.107915	−	0.0784045i
$16$	4.27192	+	13.1476i	1.06798	+	3.28690i
$17$	4.52061	−	3.28441i	1.09641	−	0.796588i	0.115939	−	0.993256i	$-0.463012\pi$
$17$	4.52061	−	3.28441i	1.09641	−	0.796588i	0.980470	+	0.196669i	$0.0630124\pi$
$18$	2.43342	−	7.48930i	0.573563	−	1.76524i
$19$	−0.472137	−	1.45309i	−0.108316	−	0.333361i	0.882179	−	0.470915i	$-0.156076\pi$
$19$	−0.472137	−	1.45309i	−0.108316	−	0.333361i	−0.990494	+	0.137554i	$0.956076\pi$
$20$	2.79281	+	8.59537i	0.624490	+	1.92198i
$21$	−0.0943032	−	0.290235i	−0.0205786	−	0.0633346i
$22$	1.94855	+	5.99701i	0.415432	+	1.27857i
$23$	1.13819	−	3.50298i	0.237328	−	0.730422i	−0.759476	−	0.650536i	$-0.774544\pi$
$23$	1.13819	−	3.50298i	0.237328	−	0.730422i	0.996804	−	0.0798859i	$-0.0254556\pi$
$24$	2.23299	−	1.62236i	0.455807	−	0.331163i
$25$	−0.659501	−	2.02973i	−0.131900	−	0.405947i
$26$	0.885835	+	0.643597i	0.173727	+	0.126220i
$27$	−1.80261			−0.346912
$28$	−1.64975	+	5.07739i	−0.311773	+	0.959537i
$29$	−6.15405	−	4.47118i	−1.14278	−	0.830277i	−0.155274	−	0.987871i	$-0.549626\pi$
$29$	−6.15405	−	4.47118i	−1.14278	−	0.830277i	−0.987504	+	0.157594i	$0.949626\pi$
$30$	1.13223	−	0.822613i	0.206716	−	0.150188i
$31$	−6.75579	+	4.90837i	−1.21338	+	0.881570i	−0.995533	−	0.0944142i	$-0.969902\pi$
$31$	−6.75579	+	4.90837i	−1.21338	+	0.881570i	−0.217843	+	0.975984i	$0.569902\pi$
$32$	−19.3608			−3.42254
$33$	0.574673	−	0.417525i	0.100038	−	0.0726817i
$34$	4.67768	+	14.3964i	0.802216	+	2.46897i
$35$	−0.523126	+	1.61002i	−0.0884244	+	0.272142i
$36$	12.5550	+	9.12176i	2.09251	+	1.52029i
$37$	−0.965031	−	0.701136i	−0.158650	−	0.115266i	0.505628	−	0.862752i	$-0.331261\pi$
$37$	−0.965031	−	0.701136i	−0.158650	−	0.115266i	−0.664278	+	0.747486i	$0.731261\pi$
$38$	4.13899			0.671434
$39$	0.0381165	−	0.117310i	0.00610352	−	0.0187847i
$40$	−15.3112			−2.42091
$41$	−2.03646	−	6.07065i	−0.318041	−	0.948077i
$41$	−2.03646	−	6.07065i	−0.318041	−	0.948077i
$42$	0.826710			0.127564
$43$	1.18950	−	3.66090i	0.181397	−	0.558282i	−0.818471	−	0.574548i	$-0.805178\pi$
$43$	1.18950	−	3.66090i	0.181397	−	0.558282i	0.999868	+	0.0162659i	$0.00517783\pi$
$44$	−12.4266			−1.87339
$45$	3.98114	+	2.89247i	0.593473	+	0.431183i
$46$	8.07231	+	5.86488i	1.19020	+	0.864729i
$47$	−1.65207	+	5.08454i	−0.240979	+	0.741656i	0.755293	+	0.655387i	$0.227494\pi$
$47$	−1.65207	+	5.08454i	−0.240979	+	0.741656i	−0.996272	+	0.0862691i	$0.972506\pi$
$48$	1.30367	+	4.01228i	0.188168	+	0.579122i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	5.78152			0.817630
$51$	1.37956	−	1.00231i	0.193177	−	0.140351i
$52$	−1.74573	+	1.26835i	−0.242090	+	0.175889i
$53$	1.86641	+	1.35602i	0.256371	+	0.186264i	0.708546	−	0.705665i	$-0.249352\pi$
$53$	1.86641	+	1.35602i	0.256371	+	0.186264i	−0.452175	+	0.891929i	$0.649352\pi$
$54$	1.50901	−	4.64427i	0.205351	−	0.632004i
$55$	−3.94043			−0.531327
$56$	−7.31716	−	5.31623i	−0.977797	−	0.710411i
$57$	−0.144083	−	0.443441i	−0.0190842	−	0.0587352i
$58$	16.6713	−	12.1124i	2.18905	−	1.59044i
$59$	3.03860	−	9.35186i	0.395592	−	1.21751i	−0.532907	−	0.846174i	$-0.678900\pi$
$59$	3.03860	−	9.35186i	0.395592	−	1.21751i	0.928499	−	0.371334i	$-0.121100\pi$
$60$	0.852285	+	2.62306i	0.110029	+	0.338636i
$61$	4.13122	+	12.7146i	0.528948	+	1.62793i	0.756374	+	0.654139i	$0.226969\pi$
$61$	4.13122	+	12.7146i	0.528948	+	1.62793i	−0.227426	+	0.973795i	$0.573031\pi$
$62$	−6.99053	−	21.5146i	−0.887799	−	2.73236i
$63$	0.898272	+	2.76460i	0.113172	+	0.348307i
$64$	7.66361	−	23.5862i	0.957951	−	2.94827i
$65$	−0.553564	+	0.402188i	−0.0686611	+	0.0498852i
$66$	0.594641	+	1.83012i	0.0731953	+	0.225272i
$67$	−1.36369	−	0.990781i	−0.166602	−	0.121043i	0.501360	−	0.865239i	$-0.332833\pi$
$67$	−1.36369	−	0.990781i	−0.166602	−	0.121043i	−0.667962	+	0.744195i	$0.732833\pi$
$68$	−29.8314			−3.61759
$69$	0.347342	−	1.06901i	0.0418151	−	0.128694i
$70$	−3.71014	−	2.69558i	−0.443447	−	0.322183i
$71$	12.7141	−	9.23732i	1.50888	−	1.09627i	0.542215	−	0.840240i	$-0.317586\pi$
$71$	12.7141	−	9.23732i	1.50888	−	1.09627i	0.966669	−	0.256029i	$-0.0824143\pi$
$72$	−21.2700	+	15.4536i	−2.50670	+	1.82122i
$73$	−14.9695			−1.75205			−0.876025	−	0.482266i	$-0.839814\pi$
$73$	−14.9695			−1.75205			−0.876025	+	0.482266i	$0.839814\pi$
$74$	2.61427	−	1.89938i	0.303903	−	0.220798i
$75$	−0.201261	−	0.619417i	−0.0232396	−	0.0715241i
$76$	−2.52059	+	7.75758i	−0.289132	+	0.889856i
$77$	−1.88312	−	1.36816i	−0.214601	−	0.155917i
$78$	0.270332	+	0.196408i	0.0306090	+	0.0222388i
$79$	8.03993			0.904562			0.452281	−	0.891875i	$-0.350610\pi$
$79$	8.03993			0.904562			0.452281	+	0.891875i	$0.350610\pi$
$80$	7.23180	−	22.2572i	0.808540	−	2.48843i
$81$	8.17051			0.907834
$82$	17.3453	−	0.164841i	1.91547	−	0.0182036i
$83$	−11.4096			−1.25237			−0.626185	−	0.779674i	$-0.715385\pi$
$83$	−11.4096			−1.25237			−0.626185	+	0.779674i	$0.715385\pi$
$84$	−0.503455	+	1.54948i	−0.0549315	+	0.169062i
$85$	−9.45939			−1.02601
$86$	8.43623	+	6.12928i	0.909702	+	0.660937i
$87$	−1.87804	−	1.36448i	−0.201347	−	0.146287i
$88$	6.50559	−	20.0221i	0.693498	−	2.13437i
$89$	−1.73973	−	5.35433i	−0.184411	−	0.567558i	0.815527	−	0.578719i	$-0.196447\pi$
$89$	−1.73973	−	5.35433i	−0.184411	−	0.567558i	−0.999938	+	0.0111609i	$0.996447\pi$
$90$	−10.7849	+	7.83569i	−1.13683	+	0.825954i
$91$	−0.404191			−0.0423707
$92$	−15.9083	+	11.5580i	−1.65855	+	1.20501i
$93$	−2.06168	+	1.49790i	−0.213786	+	0.155325i
$94$	−11.7169	−	8.51281i	−1.20850	−	0.878030i
$95$	−0.799267	+	2.45989i	−0.0820030	+	0.252379i
$96$	−5.90836			−0.603020
$97$	10.6906	+	7.76719i	1.08547	+	0.788639i	0.978628	−	0.205637i	$-0.0659268\pi$
$97$	10.6906	+	7.76719i	1.08547	+	0.788639i	0.106840	+	0.994276i	$0.465927\pi$
$98$	−0.837127	−	2.57641i	−0.0845626	−	0.260257i
$99$	−5.47397	+	3.97707i	−0.550155	+	0.399711i
$100$	−3.52087	+	10.8361i	−0.352087	+	1.08361i
$101$	3.27927	+	10.0925i	0.326299	+	1.00425i	0.970851	+	0.239685i	$0.0770442\pi$
$101$	3.27927	+	10.0925i	0.326299	+	1.00425i	−0.644551	+	0.764561i	$0.722956\pi$
$102$	1.42750	+	4.39338i	0.141343	+	0.435010i
$103$	−0.133836	−	0.411906i	−0.0131873	−	0.0405863i	0.944246	−	0.329240i	$-0.106792\pi$
$103$	−0.133836	−	0.411906i	−0.0131873	−	0.0405863i	−0.957434	+	0.288653i	$0.906792\pi$
$104$	−1.12967	−	3.47678i	−0.110774	−	0.340927i
$105$	−0.159643	+	0.491331i	−0.0155796	+	0.0479490i
$106$	−5.05610	+	3.67347i	−0.491092	+	0.356799i
$107$	1.06457	+	3.27641i	0.102916	+	0.316742i	0.989236	−	0.146331i	$-0.0467466\pi$
$107$	1.06457	+	3.27641i	0.102916	+	0.316742i	−0.886320	+	0.463074i	$0.846747\pi$
$108$	7.78563	+	5.65659i	0.749172	+	0.544306i
$109$	16.2471			1.55619			0.778096	−	0.628145i	$-0.216186\pi$
$109$	16.2471			1.55619			0.778096	+	0.628145i	$0.216186\pi$
$110$	3.29864	−	10.1522i	0.314513	−	0.967971i
$111$	−0.294500	−	0.213967i	−0.0279527	−	0.0203088i
$112$	11.1840	−	8.12567i	1.05679	−	0.767803i
$113$	−8.61142	+	6.25656i	−0.810094	+	0.588568i	−0.913858	−	0.406034i	$-0.866911\pi$
$113$	−8.61142	+	6.25656i	−0.810094	+	0.588568i	0.103764	+	0.994602i	$0.466911\pi$
$114$	1.26310			0.118300
$115$	−5.04444	+	3.66500i	−0.470396	+	0.341763i
$116$	12.5493	+	38.6228i	1.16518	+	3.58604i
$117$	−0.363073	+	1.11742i	−0.0335661	+	0.103306i
$118$	21.5506	+	15.6574i	1.98389	+	1.44138i
$119$	−4.52061	−	3.28441i	−0.414404	−	0.301082i
$120$	−4.67254			−0.426542
$121$	−1.72493	+	5.30880i	−0.156812	+	0.482618i
$122$	−36.2164			−3.27887
$123$	−0.621468	−	1.85259i	−0.0560359	−	0.167043i
$124$	44.5814			4.00352
$125$	−3.73208	+	11.4862i	−0.333807	+	1.02735i
$126$	−7.87472			−0.701535
$127$	−17.4685	−	12.6916i	−1.55008	−	1.12620i	−0.943594	−	0.331105i	$-0.892579\pi$
$127$	−17.4685	−	12.6916i	−1.55008	−	1.12620i	−0.606486	−	0.795094i	$-0.707421\pi$
$128$	23.0259	+	16.7293i	2.03522	+	1.47867i
$129$	0.363001	−	1.11720i	0.0319605	−	0.0983642i
$130$	−0.572798	−	1.76289i	−0.0502377	−	0.154616i
$131$	2.80275	−	2.03632i	0.244878	−	0.177914i	−0.458576	−	0.888655i	$-0.651640\pi$
$131$	2.80275	−	2.03632i	0.244878	−	0.177914i	0.703454	+	0.710741i	$0.251640\pi$
$132$	−3.79226			−0.330074
$133$	−1.23607	+	0.898058i	−0.107181	+	0.0778715i
$134$	3.69425	−	2.68403i	0.319134	−	0.231865i
$135$	2.46878	+	1.79368i	0.212479	+	0.154375i
$136$	15.6173	−	48.0652i	1.33917	−	4.12156i
$137$	16.4727			1.40736			0.703680	−	0.710517i	$-0.251539\pi$
$137$	16.4727			1.40736			0.703680	+	0.710517i	$0.251539\pi$
$138$	2.46344	+	1.78979i	0.209702	+	0.152357i
$139$	−3.42316	−	10.5354i	−0.290349	−	0.893601i	−0.984744	−	0.174008i	$-0.944328\pi$
$139$	−3.42316	−	10.5354i	−0.290349	−	0.893601i	0.694396	−	0.719593i	$-0.255672\pi$
$140$	7.31166	−	5.31223i	0.617948	−	0.448966i
$141$	−0.504164	+	1.55166i	−0.0424583	+	0.130673i
$142$	13.1559	+	40.4896i	1.10401	+	3.39781i
$143$	−0.290729	−	0.894771i	−0.0243119	−	0.0748245i
$144$	−12.4179	−	38.2184i	−1.03483	−	3.18487i
$145$	3.97933	+	12.2471i	0.330465	+	1.01707i
$146$	12.5314	−	38.5677i	1.03711	−	3.19188i
$147$	−0.246889	+	0.179375i	−0.0203631	+	0.0147946i
$148$	1.96789	+	6.05654i	0.161759	+	0.497844i
$149$	5.62389	+	4.08599i	0.460727	+	0.334738i	0.793816	−	0.608158i	$-0.208091\pi$
$149$	5.62389	+	4.08599i	0.460727	+	0.334738i	−0.333089	+	0.942895i	$0.608091\pi$
$150$	1.76436			0.144059
$151$	0.977184	−	3.00746i	0.0795221	−	0.244744i	−0.903390	−	0.428820i	$-0.858929\pi$
$151$	0.977184	−	3.00746i	0.0795221	−	0.244744i	0.982912	+	0.184076i	$0.0589294\pi$
$152$	−11.1797	−	8.12249i	−0.906789	−	0.658821i
$153$	−13.1408	+	9.54737i	−1.06237	+	0.771859i
$154$	5.10136	−	3.70636i	0.411079	−	0.298667i
$155$	14.1365			1.13547
$156$	−0.532749	+	0.387065i	−0.0426540	+	0.0309900i
$157$	−1.64024	−	5.04814i	−0.130905	−	0.402885i	0.864025	−	0.503448i	$-0.167936\pi$
$157$	−1.64024	−	5.04814i	−0.130905	−	0.402885i	−0.994931	+	0.100563i	$0.967936\pi$
$158$	−6.73044	+	20.7142i	−0.535445	+	1.64793i
$159$	0.569575	+	0.413820i	0.0451702	+	0.0328181i
$160$	26.5158	+	19.2648i	2.09626	+	1.52302i
$161$	−3.68325			−0.290281
$162$	−6.83975	+	21.0506i	−0.537382	+	1.65389i
$163$	−11.1595			−0.874080			−0.437040	−	0.899442i	$-0.643973\pi$
$163$	−11.1595			−0.874080			−0.437040	+	0.899442i	$0.643973\pi$
$164$	−10.2541	+	32.6101i	−0.800710	+	2.54642i
$165$	−1.20251			−0.0936149
$166$	9.55132	−	29.3959i	0.741326	−	2.28157i
$167$	3.18318			0.246322			0.123161	−	0.992387i	$-0.460697\pi$
$167$	3.18318			0.246322			0.123161	+	0.992387i	$0.460697\pi$
$168$	−2.23299	−	1.62236i	−0.172279	−	0.125168i
$169$	10.3851	+	7.54518i	0.798850	+	0.580399i
$170$	7.91871	−	24.3713i	0.607338	−	1.86919i
$171$	1.37244	+	4.22394i	0.104953	+	0.323013i
$172$	−16.6255	+	12.0791i	−1.26768	+	0.921023i
$173$	18.1132			1.37712			0.688561	−	0.725178i	$-0.258243\pi$
$173$	18.1132			1.37712			0.688561	+	0.725178i	$0.258243\pi$
$174$	5.08762	−	3.69637i	0.385691	−	0.280221i
$175$	−1.72659	+	1.25444i	−0.130518	+	0.0948271i
$176$	26.0326	+	18.9138i	1.96228	+	1.42568i
$177$	0.927295	−	2.85392i	0.0696998	−	0.214514i
$178$	15.2514			1.14314
$179$	7.01190	+	5.09445i	0.524094	+	0.380777i	0.818144	−	0.575013i	$-0.195003\pi$
$179$	7.01190	+	5.09445i	0.524094	+	0.380777i	−0.294050	+	0.955790i	$0.595003\pi$
$180$	−8.11832	−	24.9856i	−0.605104	−	1.86232i
$181$	−16.7241	+	12.1507i	−1.24309	+	0.903157i	−0.997800	−	0.0662927i	$-0.978883\pi$
$181$	−16.7241	+	12.1507i	−1.24309	+	0.903157i	−0.245289	+	0.969450i	$0.578883\pi$
$182$	0.338359	−	1.04136i	0.0250808	−	0.0771909i
$183$	1.26073	+	3.88013i	0.0931958	+	0.286827i
$184$	−10.2943	−	31.6827i	−0.758909	−	2.33568i
$185$	0.624007	+	1.92050i	0.0458779	+	0.141198i
$186$	−2.13331	−	6.56566i	−0.156422	−	0.481418i
$187$	4.01921	−	12.3699i	0.293914	−	0.904574i
$188$	23.0907	−	16.7764i	1.68406	−	1.22354i
$189$	0.557037	+	1.71438i	0.0405185	+	0.124703i
$190$	−5.66861	−	4.11848i	−0.411244	−	0.298786i
$191$	−3.02370			−0.218787			−0.109394	−	0.993999i	$-0.534891\pi$
$191$	−3.02370			−0.218787			−0.109394	+	0.993999i	$0.534891\pi$
$192$	2.33872	−	7.19783i	0.168782	−	0.519459i
$193$	−7.10231	−	5.16013i	−0.511236	−	0.371435i	0.302056	−	0.953290i	$-0.402327\pi$
$193$	−7.10231	−	5.16013i	−0.511236	−	0.371435i	−0.813292	+	0.581856i	$0.802327\pi$
$194$	−28.9609	+	21.0413i	−2.07927	+	1.51068i
$195$	−0.168932	+	0.122736i	−0.0120975	+	0.00878932i
$196$	5.33869			0.381335
$197$	2.42012	−	1.75832i	0.172427	−	0.125275i	−0.498225	−	0.867048i	$-0.666015\pi$
$197$	2.42012	−	1.75832i	0.172427	−	0.125275i	0.670652	+	0.741773i	$0.266015\pi$
$198$	−5.66417	−	17.4325i	−0.402535	−	1.23888i
$199$	−5.04304	+	15.5209i	−0.357492	+	1.10025i	0.597059	+	0.802197i	$0.296336\pi$
$199$	−5.04304	+	15.5209i	−0.357492	+	1.10025i	−0.954551	+	0.298049i	$0.903664\pi$
$200$	−15.6162	−	11.3458i	−1.10423	−	0.802272i
$201$	−0.416160	−	0.302358i	−0.0293537	−	0.0213267i
$202$	−28.7477			−2.02268
$203$	−2.35064	+	7.23452i	−0.164982	+	0.507764i
$204$	−9.10370			−0.637386
$205$	−3.25152	+	10.3405i	−0.227096	+	0.722212i
$206$	1.17328			0.0817462
$207$	−3.30856	+	10.1827i	−0.229961	+	0.707747i
$208$	5.58761			0.387431
$209$	−2.87715	−	2.09037i	−0.199017	−	0.144594i
$210$	−1.13223	−	0.822613i	−0.0781313	−	0.0567657i
$211$	4.80801	−	14.7975i	0.330997	−	1.01870i	−0.637664	−	0.770315i	$-0.720099\pi$
$211$	4.80801	−	14.7975i	0.330997	−	1.01870i	0.968660	−	0.248389i	$-0.0799010\pi$
$212$	−3.80597	−	11.7136i	−0.261395	−	0.804492i
$213$	3.87998	−	2.81897i	0.265852	−	0.193153i
$214$	−9.33256			−0.637960
$215$	−5.27185	+	3.83022i	−0.359537	+	0.261219i
$216$	−13.1900	+	9.58308i	−0.897464	+	0.652046i
$217$	6.75579	+	4.90837i	0.458613	+	0.333202i
$218$	−13.6009	+	41.8593i	−0.921170	+	2.83507i
$219$	−4.56827			−0.308695
$220$	17.0190	+	12.3651i	1.14742	+	0.833652i
$221$	−0.697924	−	2.14799i	−0.0469474	−	0.144489i
$222$	0.797801	−	0.579636i	0.0535449	−	0.0389026i
$223$	2.88187	−	8.86948i	0.192984	−	0.593945i	−0.807010	−	0.590538i	$-0.798916\pi$
$223$	2.88187	−	8.86948i	0.192984	−	0.593945i	0.999994	−	0.00340670i	$-0.00108439\pi$
$224$	5.98281	+	18.4132i	0.399743	+	1.23028i
$225$	1.91708	+	5.90017i	0.127806	+	0.393345i
$226$	−8.91063	−	27.4241i	−0.592726	−	1.82422i
$227$	−6.26839	−	19.2921i	−0.416048	−	1.28046i	−0.911311	−	0.411720i	$-0.864928\pi$
$227$	−6.26839	−	19.2921i	−0.416048	−	1.28046i	0.495263	−	0.868743i	$-0.335072\pi$
$228$	−0.769213	+	2.36739i	−0.0509424	+	0.156784i
$229$	10.8969	−	7.91707i	0.720088	−	0.523175i	−0.166324	−	0.986071i	$-0.553190\pi$
$229$	10.8969	−	7.91707i	0.720088	−	0.523175i	0.886412	+	0.462896i	$0.153190\pi$
$230$	−5.21971	−	16.0646i	−0.344178	−	1.05927i
$231$	−0.574673	−	0.417525i	−0.0378107	−	0.0274711i
$232$	−68.8000			−4.51694
$233$	3.63275	−	11.1805i	0.237989	−	0.732456i	−0.758722	−	0.651415i	$-0.774176\pi$
$233$	3.63275	−	11.1805i	0.237989	−	0.732456i	0.996711	−	0.0810406i	$-0.0258243\pi$
$234$	−2.57501	−	1.87085i	−0.168334	−	0.122301i
$235$	7.32195	−	5.31971i	0.477631	−	0.347019i
$236$	−42.4702	+	30.8564i	−2.76457	+	2.00858i
$237$	2.45356			0.159376
$238$	12.2463	−	8.89748i	0.793812	−	0.576738i
$239$	−2.54664	−	7.83776i	−0.164729	−	0.506983i	0.834287	−	0.551330i	$-0.185879\pi$
$239$	−2.54664	−	7.83776i	−0.164729	−	0.506983i	−0.999016	+	0.0443468i	$0.985879\pi$
$240$	2.20694	−	6.79226i	0.142457	−	0.438439i
$241$	−4.03062	−	2.92842i	−0.259635	−	0.188636i	0.450351	−	0.892852i	$-0.351299\pi$
$241$	−4.03062	−	2.92842i	−0.259635	−	0.188636i	−0.709986	+	0.704216i	$0.751299\pi$
$242$	−12.2337	−	8.88829i	−0.786411	−	0.571361i
$243$	7.90123			0.506864
$244$	22.0553	−	67.8791i	1.41194	−	4.34552i
$245$	1.69287			0.108154
$246$	5.29329	−	0.0503047i	0.337488	−	0.00320731i
$247$	−0.617550			−0.0392937
$248$	−23.3392	+	71.8307i	−1.48204	+	4.56125i
$249$	−3.48190			−0.220656
$250$	−26.4689	−	19.2308i	−1.67404	−	1.21626i
$251$	−0.996908	−	0.724296i	−0.0629243	−	0.0457172i	0.555878	−	0.831264i	$-0.312382\pi$
$251$	−0.996908	−	0.724296i	−0.0629243	−	0.0457172i	−0.618803	+	0.785546i	$0.712382\pi$
$252$	4.79560	−	14.7593i	0.302094	−	0.929750i
$253$	−2.64931	−	8.15374i	−0.166561	−	0.512621i
$254$	47.3222	−	34.3816i	2.96926	−	2.15729i
$255$	−2.88674			−0.180774
$256$	−22.2500	+	16.1656i	−1.39062	+	1.01035i
$257$	16.5869	−	12.0511i	1.03467	−	0.751728i	0.0654283	−	0.997857i	$-0.479159\pi$
$257$	16.5869	−	12.0511i	1.03467	−	0.751728i	0.969237	+	0.246129i	$0.0791586\pi$
$258$	2.57450	+	1.87048i	0.160281	+	0.116451i
$259$	−0.368609	+	1.13446i	−0.0229042	+	0.0704920i
$260$	3.65296			0.226547
$261$	17.8890	+	12.9971i	1.10730	+	0.804503i
$262$	2.90014	+	8.92571i	0.179171	+	0.551432i
$263$	10.0524	−	7.30347i	0.619856	−	0.450351i	−0.233016	−	0.972473i	$-0.574859\pi$
$263$	10.0524	−	7.30347i	0.619856	−	0.450351i	0.852871	+	0.522122i	$0.174859\pi$
$264$	1.98532	−	6.11019i	0.122188	−	0.376056i
$265$	−1.20685	−	3.71432i	−0.0741365	−	0.228169i
$266$	−1.27902	−	3.93642i	−0.0784217	−	0.241357i
$267$	−0.530916	−	1.63399i	−0.0324915	−	0.0999986i
$268$	2.78084	+	8.55855i	0.169867	+	0.522796i
$269$	−4.45951	+	13.7249i	−0.271901	+	0.836825i	0.718122	+	0.695917i	$0.245002\pi$
$269$	−4.45951	+	13.7249i	−0.271901	+	0.836825i	−0.990023	+	0.140907i	$0.954998\pi$
$270$	−6.68794	+	4.85907i	−0.407015	+	0.295714i
$271$	1.36249	+	4.19333i	0.0827657	+	0.254726i	0.983873	−	0.178870i	$-0.0572442\pi$
$271$	1.36249	+	4.19333i	0.0827657	+	0.254726i	−0.901107	+	0.433597i	$0.857244\pi$
$272$	62.4939	+	45.4044i	3.78925	+	2.75305i
$273$	−0.123347			−0.00746533
$274$	−13.7898	+	42.4405i	−0.833070	+	2.56393i
$275$	−4.01892	−	2.91992i	−0.242350	−	0.176078i
$276$	−4.85476	+	3.52719i	−0.292222	+	0.212312i
$277$	11.6992	−	8.49999i	0.702939	−	0.510715i	−0.177949	−	0.984040i	$-0.556946\pi$
$277$	11.6992	−	8.49999i	0.702939	−	0.510715i	0.880888	+	0.473325i	$0.156946\pi$
$278$	30.0092			1.79983
$279$	19.6382	−	14.2680i	1.17571	−	0.854203i
$280$	4.73142	+	14.5618i	0.282756	+	0.870234i
$281$	5.83569	−	17.9604i	0.348128	−	1.07143i	−0.611760	−	0.791043i	$-0.709538\pi$
$281$	5.83569	−	17.9604i	0.348128	−	1.07143i	0.959888	−	0.280384i	$-0.0904618\pi$
$282$	−3.57566	−	2.59787i	−0.212927	−	0.154701i
$283$	2.54387	+	1.84823i	0.151217	+	0.109866i	0.660821	−	0.750543i	$-0.270208\pi$
$283$	2.54387	+	1.84823i	0.151217	+	0.109866i	−0.509604	+	0.860409i	$0.670208\pi$
$284$	−83.9000			−4.97855
$285$	−0.243914	+	0.750689i	−0.0144482	+	0.0444670i
$286$	2.54868			0.150706
$287$	−5.14424	+	3.81272i	−0.303655	+	0.225058i
$288$	56.2793			3.31629
$289$	4.39524	−	13.5272i	0.258543	−	0.795715i
$290$	−34.8848			−2.04851
$291$	3.26247	+	2.37033i	0.191250	+	0.138951i
$292$	64.6547	+	46.9744i	3.78363	+	2.74897i
$293$	−6.64611	+	20.4546i	−0.388270	+	1.19497i	0.545810	+	0.837909i	$0.316222\pi$
$293$	−6.64611	+	20.4546i	−0.388270	+	1.19497i	−0.934080	+	0.357063i	$0.883778\pi$
$294$	−0.255467	−	0.786248i	−0.0148992	−	0.0458549i
$295$	−13.4671	+	9.78440i	−0.784083	+	0.569670i
$296$	−10.7887			−0.627080
$297$	−3.39452	+	2.46626i	−0.196970	+	0.143107i
$298$	−15.2351	+	11.0690i	−0.882547	+	0.641208i
$299$	−1.20441	−	0.875056i	−0.0696529	−	0.0506058i
$300$	−1.07447	+	3.30687i	−0.0620345	+	0.190922i
$301$	−3.84930			−0.221870
$302$	6.93044	+	5.03526i	0.398802	+	0.289747i
$303$	1.00074	+	3.07996i	0.0574910	+	0.176939i
$304$	17.0877	−	12.4149i	0.980047	−	0.712046i
$305$	6.99361	−	21.5241i	0.400453	−	1.23247i
$306$	−13.5974	−	41.8486i	−0.777313	−	2.39232i
$307$	7.35085	+	22.6236i	0.419535	+	1.29120i	0.908131	+	0.418687i	$0.137509\pi$
$307$	7.35085	+	22.6236i	0.419535	+	1.29120i	−0.488595	+	0.872510i	$0.662491\pi$
$308$	3.84004	+	11.8184i	0.218807	+	0.673418i
$309$	−0.0408431	−	0.125702i	−0.00232348	−	0.00715094i
$310$	−11.8341	+	36.4215i	−0.672130	+	2.06860i
$311$	27.2189	−	19.7757i	1.54344	−	1.12138i	0.595315	−	0.803492i	$-0.297027\pi$
$311$	27.2189	−	19.7757i	1.54344	−	1.12138i	0.948129	−	0.317886i	$-0.102973\pi$
$312$	−0.344745	−	1.06102i	−0.0195173	−	0.0600681i
$313$	−7.00821	−	5.09176i	−0.396127	−	0.287803i	0.371834	−	0.928299i	$-0.378729\pi$
$313$	−7.00821	−	5.09176i	−0.396127	−	0.287803i	−0.767962	+	0.640496i	$0.778729\pi$
$314$	14.3792			0.811464
$315$	1.52066	−	4.68011i	0.0856794	−	0.263694i
$316$	−34.7252	−	25.2293i	−1.95344	−	1.41926i
$317$	3.71444	−	2.69870i	0.208624	−	0.151574i	−0.478567	−	0.878051i	$-0.658844\pi$
$317$	3.71444	−	2.69870i	0.208624	−	0.151574i	0.687191	+	0.726477i	$0.258844\pi$
$318$	−1.54298	+	1.12104i	−0.0865259	+	0.0628648i
$319$	−17.7061			−0.991351
$320$	−33.9651	+	24.6771i	−1.89871	+	1.37949i
$321$	0.324876	+	0.999866i	0.0181328	+	0.0558071i
$322$	3.08335	−	9.48958i	0.171828	−	0.528833i
$323$	−6.90689	−	5.01815i	−0.384310	−	0.279217i
$324$	−35.2891	−	25.6391i	−1.96051	−	1.42439i
$325$	−0.862619			−0.0478495
$326$	9.34193	−	28.7515i	0.517402	−	1.59240i
$327$	4.95816			0.274187
$328$	−47.1741	−	33.5937i	−2.60475	−	1.85490i
$329$	5.34620			0.294746
$330$	1.00665	−	3.09815i	0.0554143	−	0.170548i
$331$	−24.8143			−1.36392			−0.681958	−	0.731391i	$-0.738871\pi$
$331$	−24.8143			−1.36392			−0.681958	+	0.731391i	$0.738871\pi$
$332$	49.2792	+	35.8035i	2.70455	+	1.96497i
$333$	2.80522	+	2.03811i	0.153725	+	0.111688i
$334$	−2.66473	+	8.20119i	−0.145808	+	0.448749i
$335$	0.881790	+	2.71387i	0.0481773	+	0.148275i
$336$	3.41305	−	2.47972i	0.186197	−	0.135280i
$337$	0.103927			0.00566124			0.00283062	−	0.999996i	$-0.499099\pi$
$337$	0.103927			0.00566124			0.00283062	+	0.999996i	$0.499099\pi$
$338$	−28.1331	+	20.4399i	−1.53024	+	1.11178i
$339$	−2.62796	+	1.90932i	−0.142731	+	0.103700i
$340$	40.8559	+	29.6836i	2.21572	+	1.60982i
$341$	−6.00649	+	18.4861i	−0.325269	+	1.00108i
$342$	−12.0315			−0.650590
$343$	0.809017	+	0.587785i	0.0436828	+	0.0317374i
$344$	−10.7584	−	33.1111i	−0.580056	−	1.78523i
$345$	−1.53942	+	1.11845i	−0.0828795	+	0.0602155i
$346$	−15.1631	+	46.6671i	−0.815171	+	2.50884i
$347$	5.65330	+	17.3991i	0.303485	+	0.934031i	0.980238	+	0.197821i	$0.0633864\pi$
$347$	5.65330	+	17.3991i	0.303485	+	0.934031i	−0.676753	+	0.736210i	$0.736614\pi$
$348$	3.82970	+	11.7866i	0.205293	+	0.631828i
$349$	5.79454	+	17.8338i	0.310174	+	0.954619i	0.977695	+	0.210028i	$0.0673555\pi$
$349$	5.79454	+	17.8338i	0.310174	+	0.954619i	−0.667521	+	0.744591i	$0.732645\pi$
$350$	−1.78659	−	5.49855i	−0.0954971	−	0.293910i
$351$	−0.225149	+	0.692937i	−0.0120176	+	0.0369863i
$352$	−36.4586	+	26.4887i	−1.94325	+	1.41185i
$353$	−8.43482	−	25.9597i	−0.448940	−	1.38170i	−0.878104	−	0.478470i	$-0.841192\pi$
$353$	−8.43482	−	25.9597i	−0.448940	−	1.38170i	0.429164	−	0.903227i	$-0.358808\pi$
$354$	6.57662	+	4.77819i	0.349543	+	0.253958i
$355$	−26.6043			−1.41201
$356$	−9.28787	+	28.5851i	−0.492256	+	1.51501i
$357$	−1.37956	−	1.00231i	−0.0730141	−	0.0530479i
$358$	−18.9953	+	13.8009i	−1.00393	+	0.729398i
$359$	20.9458	−	15.2180i	1.10548	−	0.803175i	0.123530	−	0.992341i	$-0.460578\pi$
$359$	20.9458	−	15.2180i	1.10548	−	0.803175i	0.981945	+	0.189166i	$0.0605784\pi$
$360$	44.5076			2.34576
$361$	13.4828	−	9.79581i	0.709620	−	0.515569i
$362$	−17.3052	−	53.2598i	−0.909539	−	2.79927i
$363$	−0.526401	+	1.62010i	−0.0276289	+	0.0850330i
$364$	1.74573	+	1.26835i	0.0915014	+	0.0664796i
$365$	20.5017	+	14.8953i	1.07311	+	0.779657i
$366$	−11.0522			−0.577708
$367$	7.02099	−	21.6084i	0.366492	−	1.12795i	−0.582549	−	0.812796i	$-0.697945\pi$
$367$	7.02099	−	21.6084i	0.366492	−	1.12795i	0.949041	−	0.315152i	$-0.102055\pi$
$368$	50.9180			2.65429
$369$	5.91971	+	17.6466i	0.308168	+	0.918646i
$370$	−5.47037			−0.284391
$371$	0.712904	−	2.19409i	0.0370121	−	0.113912i
$372$	13.6050			0.705384
$373$	23.5571	+	17.1152i	1.21974	+	0.886191i	0.996078	−	0.0884759i	$-0.0281996\pi$
$373$	23.5571	+	17.1152i	1.21974	+	0.886191i	0.223660	+	0.974667i	$0.428200\pi$
$374$	28.5053	+	20.7103i	1.47397	+	1.07090i
$375$	−1.13892	+	3.50525i	−0.0588138	+	0.181010i
$376$	14.9421	+	45.9872i	0.770582	+	2.37161i
$377$	−2.48741	+	1.80721i	−0.128108	+	0.0930760i
$378$	−4.88327			−0.251168
$379$	26.5592	−	19.2964i	1.36425	−	0.991189i	0.366093	−	0.930578i	$-0.380695\pi$
$379$	26.5592	−	19.2964i	1.36425	−	0.991189i	0.998162	−	0.0606103i	$-0.0193047\pi$
$380$	11.1712	−	8.11638i	0.573073	−	0.416362i
$381$	−5.33089	−	3.87312i	−0.273110	−	0.198426i
$382$	2.53122	−	7.79030i	0.129509	−	0.398587i
$383$	−17.2211			−0.879955			−0.439978	−	0.898009i	$-0.645014\pi$
$383$	−17.2211			−0.879955			−0.439978	+	0.898009i	$0.645014\pi$
$384$	7.02685	+	5.10530i	0.358587	+	0.260529i
$385$	1.21766	+	3.74757i	0.0620576	+	0.190994i
$386$	19.2402	−	13.9788i	0.979299	−	0.711503i
$387$	−3.45772	+	10.6418i	−0.175766	+	0.540951i
$388$	−21.8003	−	67.0944i	−1.10674	−	3.40620i
$389$	0.0756364	+	0.232785i	0.00383492	+	0.0118027i	0.952956	−	0.303110i	$-0.0980249\pi$
$389$	0.0756364	+	0.232785i	0.00383492	+	0.0118027i	−0.949121	+	0.314912i	$0.898025\pi$
$390$	−0.174802	−	0.537984i	−0.00885143	−	0.0272419i
$391$	−6.35994	−	19.5739i	−0.321636	−	0.989894i
$392$	−2.79491	+	8.60184i	−0.141164	+	0.434458i
$393$	0.855321	−	0.621427i	0.0431452	−	0.0313468i
$394$	2.50421	+	7.70718i	0.126161	+	0.388282i
$395$	−11.0112	−	8.00008i	−0.554032	−	0.402528i
$396$	36.1226			1.81523
$397$	−9.14506	+	28.1456i	−0.458977	+	1.41259i	0.407424	+	0.913239i	$0.366427\pi$
$397$	−9.14506	+	28.1456i	−0.458977	+	1.41259i	−0.866402	+	0.499348i	$0.833573\pi$
$398$	−35.7665	−	25.9859i	−1.79281	−	1.30256i
$399$	−0.377214	+	0.274062i	−0.0188843	+	0.0137202i
$400$	23.8688	−	17.3417i	1.19344	−	0.867085i
$401$	−4.87482			−0.243437			−0.121718	−	0.992565i	$-0.538841\pi$
$401$	−4.87482			−0.243437			−0.121718	+	0.992565i	$0.538841\pi$
$402$	1.12738	−	0.819089i	0.0562286	−	0.0408524i
$403$	1.04301	+	3.21005i	0.0519559	+	0.159904i
$404$	17.5070	−	53.8810i	0.871005	−	2.68068i
$405$	−11.1900	−	8.13002i	−0.556036	−	0.403984i
$406$	−16.6713	−	12.1124i	−0.827384	−	0.601130i
$407$	−2.77653			−0.137628
$408$	4.76596	−	14.6681i	0.235950	−	0.726181i
$409$	7.20031			0.356033			0.178016	−	0.984028i	$-0.443032\pi$
$409$	7.20031			0.356033			0.178016	+	0.984028i	$0.443032\pi$
$410$	−23.9195	−	17.0336i	−1.18130	−	0.841228i
$411$	5.02701			0.247964
$412$	−0.714511	+	2.19904i	−0.0352014	+	0.108339i
$413$	−9.83313			−0.483857
$414$	−23.4652	−	17.0484i	−1.15325	−	0.837885i
$415$	15.6262	+	11.3531i	0.767060	+	0.557301i
$416$	−2.41820	+	7.44244i	−0.118562	+	0.364896i
$417$	−1.04465	−	3.21511i	−0.0511568	−	0.157444i
$418$	7.79420	−	5.66282i	0.381227	−	0.276978i
$419$	−2.30189			−0.112455			−0.0562273	−	0.998418i	$-0.517907\pi$
$419$	−2.30189			−0.112455			−0.0562273	+	0.998418i	$0.517907\pi$
$420$	2.23131	−	1.62114i	0.108877	−	0.0791036i
$421$	−15.9426	+	11.5830i	−0.776995	+	0.564520i	−0.904076	−	0.427372i	$-0.859439\pi$
$421$	−15.9426	+	11.5830i	−0.776995	+	0.564520i	0.127081	+	0.991892i	$0.459439\pi$
$422$	34.0996	+	24.7748i	1.65994	+	1.20602i
$423$	4.80234	−	14.7801i	0.233498	−	0.718633i
$424$	20.8657			1.01333
$425$	−9.64783	−	7.00956i	−0.467989	−	0.340014i
$426$	4.01479	+	12.3563i	0.194517	+	0.598663i
$427$	10.8157	−	7.85804i	0.523407	−	0.380277i
$428$	5.68340	−	17.4917i	0.274718	−	0.845494i
$429$	−0.0887221	−	0.273059i	−0.00428354	−	0.0131834i
$430$	−5.45503	−	16.7889i	−0.263065	−	0.809630i
$431$	3.97733	+	12.2410i	0.191581	+	0.589627i	0.999999	+	0.00101800i	$0.000324041\pi$
$431$	3.97733	+	12.2410i	0.191581	+	0.589627i	−0.808418	+	0.588609i	$0.799676\pi$
$432$	−7.70059	−	23.7000i	−0.370495	−	1.14027i
$433$	−0.366043	+	1.12656i	−0.0175909	+	0.0541392i	−0.959467	−	0.281822i	$-0.909061\pi$
$433$	−0.366043	+	1.12656i	−0.0175909	+	0.0541392i	0.941876	+	0.335961i	$0.109061\pi$
$434$	−18.3015	+	13.2968i	−0.878498	+	0.638266i
$435$	1.21438	+	3.73747i	0.0582249	+	0.179198i
$436$	−70.1728	−	50.9835i	−3.36067	−	2.44167i
$437$	−5.62752			−0.269201
$438$	3.82422	−	11.7698i	0.182729	−	0.562381i
$439$	1.94653	+	1.41423i	0.0929026	+	0.0674977i	0.633267	−	0.773933i	$-0.281714\pi$
$439$	1.94653	+	1.41423i	0.0929026	+	0.0674977i	−0.540364	+	0.841431i	$0.681714\pi$
$440$	−28.8327	+	20.9482i	−1.37455	+	0.998666i
$441$	2.35171	−	1.70862i	0.111986	−	0.0813626i
$442$	6.11836			0.291020
$443$	12.4159	−	9.02067i	0.589897	−	0.428585i	−0.252382	−	0.967628i	$-0.581214\pi$
$443$	12.4159	−	9.02067i	0.589897	−	0.428585i	0.842278	+	0.539043i	$0.181214\pi$
$444$	0.600544	+	1.84828i	0.0285005	+	0.0877156i
$445$	−2.94514	+	9.06420i	−0.139613	+	0.429684i
$446$	20.4390	+	14.8498i	0.967813	+	0.703157i
$447$	1.71625	+	1.24693i	0.0811759	+	0.0589777i
$448$	−24.8000			−1.17169
$449$	−4.04774	+	12.4577i	−0.191025	+	0.587913i	0.808975	+	0.587842i	$0.200023\pi$
$449$	−4.04774	+	12.4577i	−0.191025	+	0.587913i	−1.00000		7.06927e-5i	$0.999977\pi$
$450$	−16.8061			−0.792248
$451$	−12.1405	−	8.64554i	−0.571675	−	0.407103i
$452$	56.8266			2.67290
$453$	0.298209	−	0.917792i	0.0140111	−	0.0431217i
$454$	54.9519			2.57902
$455$	0.553564	+	0.402188i	0.0259515	+	0.0188548i
$456$	−3.41171	−	2.47875i	−0.159768	−	0.116078i
$457$	−3.03669	+	9.34598i	−0.142051	+	0.437187i	−0.996620	−	0.0821506i	$-0.973821\pi$
$457$	−3.03669	+	9.34598i	−0.142051	+	0.437187i	0.854569	+	0.519337i	$0.173821\pi$
$458$	11.2755	+	34.7026i	0.526872	+	1.62154i
$459$	−8.14889	+	5.92052i	−0.380358	+	0.276346i
$460$	33.2881			1.55207
$461$	−7.76698	+	5.64304i	−0.361744	+	0.262823i	−0.753779	−	0.657128i	$-0.771771\pi$
$461$	−7.76698	+	5.64304i	−0.361744	+	0.262823i	0.392035	+	0.919950i	$0.371771\pi$
$462$	1.55679	−	1.13107i	0.0724285	−	0.0526224i
$463$	−32.7766	−	23.8136i	−1.52326	−	1.10671i	−0.959842	−	0.280540i	$-0.909486\pi$
$463$	−32.7766	−	23.8136i	−1.52326	−	1.10671i	−0.563417	−	0.826173i	$-0.690514\pi$
$464$	32.4957	−	100.012i	1.50858	−	4.64292i
$465$	4.31406			0.200060
$466$	25.7644	+	18.7189i	1.19351	+	0.867137i
$467$	−4.63447	−	14.2634i	−0.214458	−	0.660033i	−0.999192	−	0.0402005i	$-0.987200\pi$
$467$	−4.63447	−	14.2634i	−0.214458	−	0.660033i	0.784734	−	0.619833i	$-0.212800\pi$
$468$	5.07463	−	3.68693i	0.234575	−	0.170428i
$469$	−0.520885	+	1.60312i	−0.0240522	+	0.0740251i
$470$	7.57636	+	23.3176i	0.349471	+	1.07556i
$471$	−0.500554	−	1.54055i	−0.0230643	−	0.0709847i
$472$	−27.4827	−	84.5830i	−1.26499	−	3.89325i
$473$	−2.76875	−	8.52133i	−0.127307	−	0.391811i
$474$	−2.05394	+	6.32138i	−0.0943406	+	0.290350i
$475$	−2.63801	+	1.91662i	−0.121040	+	0.0879408i
$476$	9.21841	+	28.3714i	0.422525	+	1.30040i
$477$	−5.42541	−	3.94179i	−0.248412	−	0.180482i
$478$	22.3252			1.02113
$479$	−10.7786	+	33.1730i	−0.492486	+	1.51571i	0.328354	+	0.944555i	$0.393506\pi$
$479$	−10.7786	+	33.1730i	−0.492486	+	1.51571i	−0.820839	+	0.571160i	$0.806494\pi$
$480$	8.09186	+	5.87908i	0.369341	+	0.268342i
$481$	−0.390056	+	0.283393i	−0.0177850	+	0.0129216i
$482$	10.9190	−	7.93309i	0.497345	−	0.361342i
$483$	−1.12402			−0.0511448
$484$	24.1092	−	17.5163i	1.09587	−	0.796197i
$485$	−6.91276	−	21.2753i	−0.313892	−	0.966061i
$486$	−6.61434	+	20.3568i	−0.300032	+	0.923405i
$487$	−17.4972	−	12.7124i	−0.792872	−	0.576055i	0.115942	−	0.993256i	$-0.463011\pi$
$487$	−17.4972	−	12.7124i	−0.792872	−	0.576055i	−0.908814	+	0.417201i	$0.863011\pi$
$488$	97.8224	+	71.0721i	4.42821	+	3.21728i
$489$	−3.40557			−0.154005
$490$	−1.41715	+	4.36153i	−0.0640202	+	0.197034i
$491$	24.6145			1.11084			0.555418	−	0.831571i	$-0.312558\pi$
$491$	24.6145			1.11084			0.555418	+	0.831571i	$0.312558\pi$
$492$	−3.12926	+	9.95168i	−0.141078	+	0.448656i
$493$	−42.5053			−1.91434
$494$	0.516968	−	1.59106i	0.0232595	−	0.0715853i
$495$	11.4543			0.514833
$496$	−93.3935	−	67.8544i	−4.19349	−	3.04675i
$497$	−12.7141	−	9.23732i	−0.570305	−	0.414351i
$498$	2.91479	−	8.97080i	0.130615	−	0.401991i
$499$	−2.03584	−	6.26568i	−0.0911369	−	0.280491i	0.895091	−	0.445884i	$-0.147111\pi$
$499$	−2.03584	−	6.26568i	−0.0911369	−	0.280491i	−0.986228	+	0.165393i	$0.947111\pi$
$500$	52.1628	−	37.8985i	2.33279	−	1.69487i
$501$	0.971417			0.0433997
$502$	2.70062	−	1.96212i	0.120535	−	0.0875736i
$503$	15.7776	−	11.4631i	0.703489	−	0.511115i	−0.177578	−	0.984107i	$-0.556826\pi$
$503$	15.7776	−	11.4631i	0.703489	−	0.511115i	0.881067	+	0.472992i	$0.156826\pi$
$504$	21.2700	+	15.4536i	0.947443	+	0.688357i
$505$	5.55138	−	17.0854i	0.247033	−	0.760289i
$506$	23.2252			1.03249
$507$	3.16922	+	2.30258i	0.140750	+	0.102261i
$508$	35.6217	+	109.632i	1.58046	+	4.86415i
$509$	−33.9021	+	24.6313i	−1.50268	+	1.09176i	−0.533386	+	0.845872i	$0.679081\pi$
$509$	−33.9021	+	24.6313i	−1.50268	+	1.09176i	−0.969297	+	0.245891i	$0.920919\pi$
$510$	2.41657	−	7.43743i	0.107007	−	0.329335i
$511$	4.62583	+	14.2369i	0.204635	+	0.629801i
$512$	−5.43288	−	16.7207i	−0.240102	−	0.738957i
$513$	0.851078	+	2.61935i	0.0375760	+	0.115647i
$514$	17.1633	+	52.8232i	0.757040	+	2.32993i
$515$	−0.226568	+	0.697304i	−0.00998377	+	0.0307269i
$516$	−5.07362	+	3.68620i	−0.223354	+	0.162276i
$517$	3.84545	+	11.8351i	0.169123	+	0.520506i
$518$	−2.61427	−	1.89938i	−0.114864	−	0.0834539i
$519$	5.52764			0.242636
$520$	−1.91239	+	5.88574i	−0.0838640	+	0.258107i
$521$	30.7769	+	22.3607i	1.34836	+	0.979640i	0.999091	+	0.0426174i	$0.0135697\pi$
$521$	30.7769	+	22.3607i	1.34836	+	0.979640i	0.349268	+	0.937023i	$0.386430\pi$
$522$	−48.4614	+	35.2093i	−2.12110	+	1.54107i
$523$	−22.9164	+	16.6497i	−1.00206	+	0.728041i	−0.962529	−	0.271178i	$-0.912587\pi$
$523$	−22.9164	+	16.6497i	−1.00206	+	0.728041i	−0.0395328	+	0.999218i	$0.512587\pi$
$524$	−18.4953			−0.807972
$525$	−0.526908	+	0.382821i	−0.0229961	+	0.0167077i
$526$	10.4017	+	32.0130i	0.453534	+	1.39583i
$527$	−14.4192	+	44.3777i	−0.628109	+	1.93312i
$528$	7.94440	+	5.77195i	0.345736	+	0.251192i
$529$	7.63200	+	5.54497i	0.331826	+	0.241086i
$530$	10.5799			0.459562
$531$	−8.83283	+	27.1846i	−0.383312	+	1.17971i
$532$	8.15681			0.353642
$533$	−2.58797	+	0.0245947i	−0.112097	+	0.00106531i
$534$	4.65428			0.201410
$535$	1.80218	−	5.54653i	0.0779149	−	0.239798i
$536$	−15.2456			−0.658509
$537$	2.13983	+	1.55468i	0.0923406	+	0.0670894i
$538$	−31.6280	−	22.9791i	−1.36358	−	0.990698i
$539$	−0.719286	+	2.21373i	−0.0309818	+	0.0953523i
$540$	−5.03434	−	15.4941i	−0.216643	−	0.666760i
$541$	5.68918	−	4.13343i	0.244597	−	0.177710i	−0.458732	−	0.888575i	$-0.651696\pi$
$541$	5.68918	−	4.13343i	0.244597	−	0.177710i	0.703329	+	0.710865i	$0.251696\pi$
$542$	−11.9443			−0.513053
$543$	−5.10371	+	3.70806i	−0.219021	+	0.159128i
$544$	−87.5225	+	63.5888i	−3.75250	+	2.72635i
$545$	−22.2514	−	16.1666i	−0.953147	−	0.692502i
$546$	0.103258	−	0.317794i	0.00441902	−	0.0136003i
$547$	−2.19287			−0.0937602			−0.0468801	−	0.998901i	$-0.514928\pi$
$547$	−2.19287			−0.0937602			−0.0468801	+	0.998901i	$0.514928\pi$
$548$	−71.1471	−	51.6914i	−3.03926	−	2.20815i
$549$	−12.0089	−	36.9596i	−0.512528	−	1.57740i
$550$	10.8873	−	7.91006i	0.464235	−	0.337286i
$551$	−3.59146	+	11.0534i	−0.153001	+	0.470890i
$552$	−3.14154	−	9.66867i	−0.133713	−	0.411526i
$553$	−2.48447	−	7.64642i	−0.105651	−	0.325159i
$554$	12.1057	+	37.2577i	0.514324	+	1.58293i
$555$	0.190429	+	0.586081i	0.00808327	+	0.0248778i
$556$	−18.2752	+	56.2452i	−0.775040	+	2.38533i
$557$	5.80051	−	4.21432i	0.245775	−	0.178566i	−0.458077	−	0.888913i	$-0.651462\pi$
$557$	5.80051	−	4.21432i	0.245775	−	0.178566i	0.703852	+	0.710346i	$0.251462\pi$
$558$	20.3206	+	62.5403i	0.860239	+	2.64754i
$559$	−1.25871	−	0.914506i	−0.0532377	−	0.0386795i
$560$	−23.4026			−0.988940
$561$	1.22655	−	3.77493i	0.0517850	−	0.159378i
$562$	41.3882	+	30.0703i	1.74586	+	1.26844i
$563$	11.3873	−	8.27333i	0.479916	−	0.348679i	−0.321377	−	0.946951i	$-0.604146\pi$
$563$	11.3873	−	8.27333i	0.479916	−	0.348679i	0.801293	+	0.598272i	$0.204146\pi$
$564$	7.04663	−	5.11968i	0.296717	−	0.215577i
$565$	18.0194			0.758083
$566$	−6.89133	+	5.00685i	−0.289664	+	0.210454i
$567$	−2.52483	−	7.77061i	−0.106033	−	0.326335i
$568$	43.9233	−	135.182i	1.84298	−	5.67211i
$569$	−10.2544	−	7.45028i	−0.429888	−	0.312332i	0.351716	−	0.936107i	$-0.385598\pi$
$569$	−10.2544	−	7.45028i	−0.429888	−	0.312332i	−0.781604	+	0.623775i	$0.785598\pi$
$570$	−1.72990	−	1.25684i	−0.0724574	−	0.0526434i
$571$	3.06037			0.128073			0.0640363	−	0.997948i	$-0.479603\pi$
$571$	3.06037			0.128073			0.0640363	+	0.997948i	$0.479603\pi$
$572$	−1.55211	+	4.77690i	−0.0648970	+	0.199732i
$573$	−0.922747			−0.0385483
$574$	−5.51676	−	16.4454i	−0.230265	−	0.686418i
$575$	−7.86075			−0.327816
$576$	−22.2771	+	68.5619i	−0.928213	+	2.85675i
$577$	6.76329			0.281560			0.140780	−	0.990041i	$-0.455039\pi$
$577$	6.76329			0.281560			0.140780	+	0.990041i	$0.455039\pi$
$578$	31.1722	+	22.6479i	1.29659	+	0.942028i
$579$	−2.16742	−	1.57473i	−0.0900751	−	0.0654434i
$580$	21.2444	−	65.3835i	0.882125	−	2.71490i
$581$	3.52577	+	10.8512i	0.146274	+	0.450184i
$582$	−8.83805	+	6.42122i	−0.366349	+	0.266168i
$583$	5.36992			0.222400
$584$	−109.534	+	79.5814i	−4.53256	+	3.29310i
$585$	1.60914	−	1.16911i	0.0665297	−	0.0483366i
$586$	−47.1359	−	34.2462i	−1.94717	−	1.41470i
$587$	−5.56312	+	17.1215i	−0.229615	+	0.706681i	0.768176	+	0.640239i	$0.221165\pi$
$587$	−5.56312	+	17.1215i	−0.229615	+	0.706681i	−0.997790	+	0.0664418i	$0.978835\pi$
$588$	1.62922			0.0671877
$589$	10.3220	+	7.49934i	0.425309	+	0.309005i
$590$	−13.9350	−	42.8875i	−0.573695	−	1.76565i
$591$	0.738553	−	0.536590i	0.0303800	−	0.0220724i
$592$	5.09573	−	15.6830i	0.209433	−	0.644569i
$593$	−1.09789	−	3.37895i	−0.0450848	−	0.138757i	0.925980	−	0.377572i	$-0.123241\pi$
$593$	−1.09789	−	3.37895i	−0.0450848	−	0.138757i	−0.971065	+	0.238815i	$0.923241\pi$
$594$	−3.51247	−	10.8103i	−0.144118	−	0.443551i
$595$	2.92311	+	8.99641i	0.119836	+	0.368817i
$596$	−11.4682	−	35.2955i	−0.469757	−	1.44576i
$597$	−1.53899	+	4.73653i	−0.0629868	+	0.193853i
$598$	3.26275	−	2.37053i	0.133424	−	0.0969381i
$599$	−4.39820	−	13.5363i	−0.179706	−	0.553077i	0.820112	−	0.572204i	$-0.193911\pi$
$599$	−4.39820	−	13.5363i	−0.179706	−	0.553077i	−0.999817	+	0.0191270i	$0.993911\pi$
$600$	−4.76562	−	3.46243i	−0.194556	−	0.141353i
$601$	4.52778			0.184692			0.0923459	−	0.995727i	$-0.470563\pi$
$601$	4.52778			0.184692			0.0923459	+	0.995727i	$0.470563\pi$
$602$	3.22235	−	9.91739i	0.131333	−	0.404202i
$603$	3.96408	+	2.88007i	0.161430	+	0.117286i
$604$	−13.6580	+	9.92310i	−0.555735	+	0.403765i
$605$	7.64490	−	5.55434i	0.310809	−	0.225816i
$606$	−8.77299			−0.356378
$607$	6.43768	−	4.67725i	0.261297	−	0.189844i	−0.449422	−	0.893320i	$-0.648370\pi$
$607$	6.43768	−	4.67725i	0.261297	−	0.189844i	0.710719	+	0.703476i	$0.248370\pi$
$608$	9.14094	+	28.1329i	0.370714	+	1.14094i
$609$	−0.717348	+	2.20777i	−0.0290684	+	0.0894633i
$610$	49.6005	+	36.0369i	2.00827	+	1.45909i
$611$	1.74819	+	1.27014i	0.0707243	+	0.0513842i
$612$	86.7161			3.50529
$613$	−12.0778	+	37.1716i	−0.487817	+	1.50135i	0.340042	+	0.940410i	$0.389559\pi$
$613$	−12.0778	+	37.1716i	−0.487817	+	1.50135i	−0.827859	+	0.560936i	$0.810441\pi$
$614$	−64.4413			−2.60064
$615$	−0.992272	+	3.15563i	−0.0400123	+	0.127247i
$616$	−21.0525			−0.848231
$617$	12.7539	−	39.2523i	0.513451	−	1.58024i	−0.272633	−	0.962118i	$-0.587894\pi$
$617$	12.7539	−	39.2523i	0.513451	−	1.58024i	0.786083	−	0.618121i	$-0.212106\pi$
$618$	0.358051			0.0144029
$619$	25.9310	+	18.8400i	1.04226	+	0.757243i	0.970725	−	0.240195i	$-0.0772115\pi$
$619$	25.9310	+	18.8400i	1.04226	+	0.757243i	0.0715309	+	0.997438i	$0.477212\pi$
$620$	−61.0569	−	44.3604i	−2.45210	−	1.78156i
$621$	−2.05171	+	6.31450i	−0.0823321	+	0.253392i
$622$	28.1647	+	86.6820i	1.12930	+	3.47563i
$623$	−4.55467	+	3.30916i	−0.182479	+	0.132579i
$624$	1.70518			0.0682619
$625$	7.90757	−	5.74519i	0.316303	−	0.229807i
$626$	18.9852	−	13.7936i	0.758803	−	0.551302i
$627$	−0.878024	−	0.637922i	−0.0350649	−	0.0254762i
$628$	−8.75673	+	26.9504i	−0.349431	+	1.07544i
$629$	−6.66535			−0.265765
$630$	10.7849	+	7.83569i	0.429681	+	0.312181i
$631$	6.47427	+	19.9258i	0.257737	+	0.793232i	0.993278	+	0.115752i	$0.0369279\pi$
$631$	6.47427	+	19.9258i	0.257737	+	0.793232i	−0.735541	+	0.677480i	$0.763072\pi$
$632$	58.8294	−	42.7421i	2.34011	−	1.70019i
$633$	1.46727	−	4.51578i	0.0583186	−	0.179486i
$634$	3.84350	+	11.8291i	0.152645	+	0.469793i
$635$	11.2955	+	34.7639i	0.448247	+	1.37956i
$636$	−1.16147	−	3.57465i	−0.0460555	−	0.141744i
$637$	0.124902	+	0.384408i	0.00494879	+	0.0152308i
$638$	14.8223	−	45.6182i	0.586819	−	1.80604i
$639$	−36.9582	+	26.8517i	−1.46204	+	1.06224i
$640$	−14.8890	−	45.8236i	−0.588539	−	1.81134i
$641$	−18.8231	−	13.6758i	−0.743467	−	0.540160i	0.150328	−	0.988636i	$-0.451967\pi$
$641$	−18.8231	−	13.6758i	−0.743467	−	0.540160i	−0.893795	+	0.448476i	$0.851967\pi$
$642$	−2.84803			−0.112403
$643$	8.54270	−	26.2917i	0.336891	−	1.03684i	−0.628892	−	0.777493i	$-0.716491\pi$
$643$	8.54270	−	26.2917i	0.336891	−	1.03684i	0.965783	−	0.259352i	$-0.0835089\pi$
$644$	15.9083	+	11.5580i	0.626874	+	0.455451i
$645$	−1.60882	+	1.16888i	−0.0633472	+	0.0460244i
$646$	18.7108	−	13.5942i	0.736166	−	0.534856i
$647$	11.9525			0.469900			0.234950	−	0.972007i	$-0.424507\pi$
$647$	11.9525			0.469900			0.234950	+	0.972007i	$0.424507\pi$
$648$	59.7849	−	43.4363i	2.34857	−	1.70634i
$649$	−7.07283	−	21.7679i	−0.277633	−	0.854466i
$650$	0.722122	−	2.22246i	0.0283240	−	0.0871722i
$651$	2.06168	+	1.49790i	0.0808035	+	0.0587072i
$652$	48.1989	+	35.0186i	1.88762	+	1.37143i
$653$	−34.8033			−1.36196			−0.680979	−	0.732303i	$-0.738445\pi$
$653$	−34.8033			−1.36196			−0.680979	+	0.732303i	$0.738445\pi$
$654$	−4.15061	+	12.7743i	−0.162302	+	0.499514i
$655$	−5.86477			−0.229156
$656$	71.1150	−	52.7078i	2.77657	−	2.05790i
$657$	43.5144			1.69766
$658$	−4.47545	+	13.7740i	−0.174471	+	0.536967i
$659$	12.6459			0.492614			0.246307	−	0.969192i	$-0.420783\pi$
$659$	12.6459			0.492614			0.246307	+	0.969192i	$0.420783\pi$
$660$	5.19373	+	3.77347i	0.202166	+	0.146882i
$661$	30.5991	+	22.2315i	1.19017	+	0.864706i	0.993282	−	0.115720i	$-0.0369177\pi$
$661$	30.5991	+	22.2315i	1.19017	+	0.864706i	0.196884	+	0.980427i	$0.436918\pi$
$662$	20.7727	−	63.9318i	0.807354	−	2.48478i
$663$	−0.212986	−	0.655505i	−0.00827171	−	0.0254577i
$664$	−83.4861	+	60.6562i	−3.23989	+	2.35392i
$665$	2.58648			0.100299
$666$	−7.59934	+	5.52125i	−0.294469	+	0.213944i
$667$	−22.6669	+	16.4685i	−0.877666	+	0.637662i
$668$	−13.7484	−	9.98883i	−0.531943	−	0.386480i
$669$	0.879465	−	2.70671i	0.0340021	−	0.104648i
$670$	−7.73022			−0.298645
$671$	25.1752	+	18.2908i	0.971877	+	0.706110i
$672$	1.82578	+	5.61919i	0.0704311	+	0.216765i
$673$	14.2330	−	10.3409i	0.548644	−	0.398613i	−0.278642	−	0.960395i	$-0.589884\pi$
$673$	14.2330	−	10.3409i	0.548644	−	0.398613i	0.827285	+	0.561782i	$0.189884\pi$
$674$	−0.0869997	+	0.267758i	−0.00335110	+	0.0103136i
$675$	1.18882	+	3.65882i	0.0457578	+	0.140828i
$676$	−21.1772	−	65.1766i	−0.814506	−	2.50679i
$677$	−11.7966	−	36.3061i	−0.453378	−	1.39536i	−0.873028	−	0.487669i	$-0.837847\pi$
$677$	−11.7966	−	36.3061i	−0.453378	−	1.39536i	0.419650	−	0.907686i	$-0.362153\pi$
$678$	−2.71927	−	8.36906i	−0.104433	−	0.321412i
$679$	4.08345	−	12.5676i	0.156709	−	0.482299i
$680$	−69.2159	+	50.2883i	−2.65431	+	1.92847i
$681$	−1.91293	−	5.88741i	−0.0733038	−	0.225606i
$682$	−42.5995	−	30.9504i	−1.63122	−	1.18515i
$683$	−16.0389			−0.613710			−0.306855	−	0.951756i	$-0.599277\pi$
$683$	−16.0389			−0.613710			−0.306855	+	0.951756i	$0.599277\pi$
$684$	7.32703	−	22.5503i	0.280156	−	0.862232i
$685$	−22.5604	−	16.3911i	−0.861988	−	0.626271i
$686$	−2.19163	+	1.59231i	−0.0836767	+	0.0607947i
$687$	3.32543	−	2.41607i	0.126873	−	0.0921787i
$688$	53.2135			2.02875
$689$	0.754384	−	0.548092i	0.0287398	−	0.0208807i
$690$	−1.59291	−	4.90247i	−0.0606410	−	0.186634i
$691$	4.11751	−	12.6724i	0.156638	−	0.482081i	−0.841686	−	0.539968i	$-0.818436\pi$
$691$	4.11751	−	12.6724i	0.156638	−	0.482081i	0.998323	+	0.0578871i	$0.0184364\pi$
$692$	−78.2326	−	56.8393i	−2.97396	−	2.16071i
$693$	5.47397	+	3.97707i	0.207939	+	0.151077i
$694$	−49.5597			−1.88126
$695$	−5.79497	+	17.8351i	−0.219816	+	0.676523i
$696$	−20.9958			−0.795844
$697$	−29.1446	−	20.7545i	−1.10393	−	0.786132i
$698$	−50.7979			−1.92273
$699$	1.10861	−	3.41196i	0.0419315	−	0.129052i
$700$	11.3938			0.430644
$701$	−3.97351	−	2.88692i	−0.150077	−	0.109038i	0.510213	−	0.860048i	$-0.329567\pi$
$701$	−3.97351	−	2.88692i	−0.150077	−	0.109038i	−0.660290	+	0.751011i	$0.729567\pi$
$702$	−1.59681	−	1.16015i	−0.0602679	−	0.0437872i
$703$	−0.563186	+	1.73331i	−0.0212409	+	0.0653729i
$704$	−17.8383	−	54.9006i	−0.672305	−	2.06914i
$705$	2.23445	−	1.62342i	0.0841543	−	0.0611417i
$706$	73.9440			2.78292
$707$	8.58523	−	6.23754i	0.322881	−	0.234587i
$708$	−12.9607	+	9.41649i	−0.487092	+	0.353893i
$709$	−31.4560	−	22.8541i	−1.18136	−	0.858305i	−0.189032	−	0.981971i	$-0.560535\pi$
$709$	−31.4560	−	22.8541i	−1.18136	−	0.858305i	−0.992324	+	0.123666i	$0.960535\pi$
$710$	22.2712	−	68.5436i	0.835822	−	2.57240i
$711$	−23.3710			−0.876482
$712$	−41.1947	−	29.9297i	−1.54384	−	1.12166i
$713$	9.50457	+	29.2521i	0.355949	+	1.09550i
$714$	3.73723	−	2.71526i	0.139862	−	0.101616i
$715$	−0.492166	+	1.51473i	−0.0184060	+	0.0566477i
$716$	−14.2987	−	44.0067i	−0.534366	−	1.64461i
$717$	−0.777163	−	2.39186i	−0.0290237	−	0.0893258i
$718$	21.6736	+	66.7044i	0.808850	+	2.48938i
$719$	−4.93805	−	15.1978i	−0.184158	−	0.566781i	0.815775	−	0.578370i	$-0.196311\pi$
$719$	−4.93805	−	15.1978i	−0.184158	−	0.566781i	−0.999933	+	0.0115890i	$0.996311\pi$
$720$	−21.0219	+	64.6988i	−0.783440	+	2.41118i
$721$	−0.350389	+	0.254572i	−0.0130491	+	0.00948076i
$722$	13.9512	+	42.9375i	0.519212	+	1.59797i
$723$	−1.23003	−	0.893670i	−0.0457454	−	0.0332360i
$724$	110.362			4.10156
$725$	−5.01670	+	15.4398i	−0.186316	+	0.573421i
$726$	−3.73337	−	2.71245i	−0.138558	−	0.100669i
$727$	39.5414	−	28.7285i	1.46651	−	1.06548i	0.484904	−	0.874568i	$-0.338855\pi$
$727$	39.5414	−	28.7285i	1.46651	−	1.06548i	0.981607	−	0.190915i	$-0.0611454\pi$
$728$	−2.95753	+	2.14877i	−0.109613	+	0.0796387i
$729$	−22.1003			−0.818529
$730$	−55.5390	+	40.3515i	−2.05559	+	1.49348i
$731$	−6.64666	−	20.4563i	−0.245836	−	0.756604i
$732$	6.73064	−	20.7148i	0.248772	−	0.765640i
$733$	−3.27170	−	2.37703i	−0.120843	−	0.0877976i	0.525722	−	0.850656i	$-0.323795\pi$
$733$	−3.27170	−	2.37703i	−0.120843	−	0.0877976i	−0.646565	+	0.762859i	$0.723795\pi$
$734$	49.7946	+	36.1779i	1.83795	+	1.33535i
$735$	0.516616			0.0190557
$736$	−22.0362	+	67.8204i	−0.812265	+	2.49989i
$737$	−3.92354			−0.144526
$738$	−50.4205	+	0.479170i	−1.85600	+	0.0176385i
$739$	−26.8712			−0.988474			−0.494237	−	0.869327i	$-0.664552\pi$
$739$	−26.8712			−0.988474			−0.494237	+	0.869327i	$0.664552\pi$
$740$	3.33138	−	10.2529i	0.122464	−	0.376905i
$741$	−0.188459			−0.00692320
$742$	5.05610	+	3.67347i	0.185615	+	0.134857i
$743$	−34.6600	−	25.1820i	−1.27155	−	0.923836i	−0.272288	−	0.962216i	$-0.587780\pi$
$743$	−34.6600	−	25.1820i	−1.27155	−	0.923836i	−0.999263	+	0.0383796i	$0.987780\pi$
$744$	−7.12246	+	21.9207i	−0.261122	+	0.803651i
$745$	−3.63651	−	11.1920i	−0.133232	−	0.410045i
$746$	−63.8161	+	46.3651i	−2.33647	+	1.69755i
$747$	33.1663			1.21349
$748$	−56.1760	+	40.8142i	−2.05400	+	1.49232i
$749$	2.78708	−	2.02493i	0.101838	−	0.0739894i
$750$	−8.07754	−	5.86868i	−0.294950	−	0.214294i
$751$	12.1852	−	37.5021i	0.444643	−	1.36847i	−0.438231	−	0.898863i	$-0.644395\pi$
$751$	12.1852	−	37.5021i	0.444643	−	1.36847i	0.882874	−	0.469609i	$-0.155605\pi$
$752$	−73.9070			−2.69511
$753$	−0.304228	−	0.221035i	−0.0110867	−	0.00805495i
$754$	−2.57384	−	7.92146i	−0.0937336	−	0.288482i
$755$	−4.33087	+	3.14656i	−0.157617	+	0.114515i
$756$	2.97385	−	9.15256i	0.108158	−	0.332875i
$757$	−5.54204	−	17.0567i	−0.201429	−	0.619935i	−0.999841	−	0.0178233i	$-0.994326\pi$
$757$	−5.54204	−	17.0567i	−0.201429	−	0.619935i	0.798412	−	0.602111i	$-0.205674\pi$
$758$	27.4820	+	84.5810i	0.998192	+	3.07212i
$759$	−0.808494	−	2.48829i	−0.0293465	−	0.0903192i
$760$	7.22898	+	22.2485i	0.262223	+	0.807038i
$761$	6.60541	−	20.3294i	0.239446	−	0.736939i	−0.757054	−	0.653352i	$-0.773362\pi$
$761$	6.60541	−	20.3294i	0.239446	−	0.736939i	0.996500	−	0.0835873i	$-0.0266377\pi$
$762$	14.4414	−	10.4923i	0.523157	−	0.380096i
$763$	−5.02064	−	15.4519i	−0.181759	−	0.559398i
$764$	13.0596	+	9.48838i	0.472481	+	0.343277i
$765$	27.4972			0.994164
$766$	14.4162	−	44.3686i	0.520879	−	1.60310i
$767$	−3.21540	−	2.33613i	−0.116101	−	0.0843527i
$768$	−6.79006	+	4.93327i	−0.245015	+	0.178014i
$769$	−10.9118	+	7.92787i	−0.393489	+	0.285886i	−0.766884	−	0.641786i	$-0.778194\pi$
$769$	−10.9118	+	7.92787i	−0.393489	+	0.285886i	0.373395	+	0.927672i	$0.378194\pi$
$770$	−10.6746			−0.384686
$771$	5.06187	−	3.67766i	0.182299	−	0.132448i
$772$	14.4830	+	44.5741i	0.521255	+	1.60426i
$773$	−11.2686	+	34.6812i	−0.405304	+	1.24740i	0.515337	+	0.856987i	$0.327667\pi$
$773$	−11.2686	+	34.6812i	−0.405304	+	1.24740i	−0.920641	+	0.390410i	$0.872333\pi$
$774$	−24.5230	−	17.8170i	−0.881462	−	0.640420i
$775$	14.4181	+	10.4754i	0.517915	+	0.376287i
$776$	119.517			4.29042
$777$	−0.112489	+	0.346206i	−0.00403552	+	0.0124201i
$778$	−0.663067			−0.0237721
$779$	−7.85971	+	5.82533i	−0.281603	+	0.208714i
$780$	1.11478			0.0399155
$781$	11.3039	−	34.7899i	0.404486	−	1.24488i
$782$	55.7545			1.99378
$783$	11.0933	+	8.05979i	0.396444	+	0.288033i
$784$	−11.1840	−	8.12567i	−0.399429	−	0.290202i
$785$	−2.77671	+	8.54584i	−0.0991051	+	0.305014i
$786$	0.885040	+	2.72387i	0.0315683	+	0.0971573i
$787$	17.7442	−	12.8919i	0.632514	−	0.459548i	−0.224757	−	0.974415i	$-0.572159\pi$
$787$	17.7442	−	12.8919i	0.632514	−	0.459548i	0.857270	+	0.514867i	$0.172159\pi$
$788$	−15.9704			−0.568920
$789$	3.06770	−	2.22881i	0.109213	−	0.0793478i
$790$	29.8293	−	21.6722i	1.06128	−	0.771064i
$791$	8.61142	+	6.25656i	0.306187	+	0.222458i
$792$	−18.9109	+	58.2018i	−0.671970	+	2.06811i
$793$	5.40358			0.191887
$794$	−64.8591	−	47.1229i	−2.30176	−	1.67233i
$795$	−0.368298	−	1.13350i	−0.0130622	−	0.0402012i
$796$	70.4859	−	51.2110i	2.49831	−	1.81513i
$797$	1.78403	−	5.49068i	0.0631936	−	0.194490i	−0.914475	−	0.404642i	$-0.867396\pi$
$797$	1.78403	−	5.49068i	0.0631936	−	0.194490i	0.977669	+	0.210152i	$0.0673960\pi$
$798$	−0.390320	−	1.20128i	−0.0138172	−	0.0425249i
$799$	9.23139	+	28.4113i	0.326583	+	1.00512i
$800$	12.7684	+	39.2972i	0.451433	+	1.38937i
$801$	5.05717	+	15.5644i	0.178686	+	0.549939i
$802$	4.08085	−	12.5596i	0.144100	−	0.443493i
$803$	−28.1893	+	20.4807i	−0.994780	+	0.722750i
$804$	0.848633	+	2.61182i	0.0299290	+	0.0921120i
$805$	5.04444	+	3.66500i	0.177793	+	0.129174i
$806$	−9.14353			−0.322067
$807$	−1.36091	+	4.18846i	−0.0479065	+	0.147441i
$808$	77.6492	+	56.4155i	2.73169	+	1.98469i
$809$	15.3534	−	11.1549i	0.539797	−	0.392185i	−0.284213	−	0.958761i	$-0.591732\pi$
$809$	15.3534	−	11.1549i	0.539797	−	0.392185i	0.824010	+	0.566576i	$0.191732\pi$
$810$	30.3137	−	22.0242i	1.06512	−	0.773852i
$811$	13.6653			0.479853			0.239926	−	0.970791i	$-0.422877\pi$
$811$	13.6653			0.479853			0.239926	+	0.970791i	$0.422877\pi$
$812$	32.8545	−	23.8702i	1.15297	−	0.837681i
$813$	0.415795	+	1.27968i	0.0145826	+	0.0448805i
$814$	2.32431	−	7.15350i	0.0814671	−	0.250730i
$815$	15.2836	+	11.1042i	0.535362	+	0.388963i
$816$	19.0713	+	13.8561i	0.667631	+	0.485062i
$817$	−5.88122			−0.205758
$818$	−6.02758	+	18.5510i	−0.210749	+	0.648620i
$819$	1.17493			0.0410554
$820$	46.4921	−	34.4583i	1.62357	−	1.20333i
$821$	−13.8242			−0.482467			−0.241233	−	0.970467i	$-0.577552\pi$
$821$	−13.8242			−0.482467			−0.241233	+	0.970467i	$0.577552\pi$
$822$	−4.20824	+	12.9516i	−0.146779	+	0.451740i
$823$	−41.8431			−1.45856			−0.729279	−	0.684217i	$-0.760144\pi$
$823$	−41.8431			−1.45856			−0.729279	+	0.684217i	$0.760144\pi$
$824$	−3.16909	−	2.30248i	−0.110401	−	0.0802107i
$825$	−1.22646	−	0.891076i	−0.0426999	−	0.0310233i
$826$	8.23158	−	25.3342i	0.286413	−	0.881490i
$827$	−1.36307	−	4.19511i	−0.0473987	−	0.145878i	0.924556	−	0.381046i	$-0.124436\pi$
$827$	−1.36307	−	4.19511i	−0.0473987	−	0.145878i	−0.971955	+	0.235168i	$0.924436\pi$
$828$	46.2433	−	33.5977i	1.60707	−	1.16760i
$829$	17.9279			0.622662			0.311331	−	0.950302i	$-0.399225\pi$
$829$	17.9279			0.622662			0.311331	+	0.950302i	$0.399225\pi$
$830$	−42.3314	+	30.7555i	−1.46934	+	1.06754i
$831$	3.57027	−	2.59396i	0.123851	−	0.0899834i
$832$	−8.10952	−	5.89191i	−0.281147	−	0.204265i
$833$	−1.72672	+	5.31429i	−0.0598273	+	0.184129i
$834$	9.15795			0.317114
$835$	−4.35956	−	3.16741i	−0.150869	−	0.109613i
$836$	5.86708	+	18.0570i	0.202917	+	0.624515i
$837$	12.1781	−	8.84787i	0.420935	−	0.305827i
$838$	1.92697	−	5.93062i	0.0665662	−	0.204870i
$839$	8.81220	+	27.1211i	0.304231	+	0.936326i	0.979963	+	0.199179i	$0.0638275\pi$
$839$	8.81220	+	27.1211i	0.304231	+	0.936326i	−0.675732	+	0.737147i	$0.736172\pi$
$840$	1.44389	+	4.44385i	0.0498191	+	0.153327i
$841$	8.91939	+	27.4511i	0.307565	+	0.946589i
$842$	−16.4966	−	50.7712i	−0.568509	−	1.74969i
$843$	1.78089	−	5.48100i	0.0613370	−	0.188776i
$844$	−67.2009	+	48.8243i	−2.31315	+	1.68060i
$845$	−6.71517	−	20.6672i	−0.231009	−	0.710972i
$846$	34.0595	+	24.7456i	1.17099	+	0.850773i
$847$	5.58201			0.191800
$848$	−9.85534	+	30.3316i	−0.338434	+	1.04159i
$849$	0.776315	+	0.564026i	0.0266431	+	0.0193573i
$850$	26.1360	−	18.9889i	0.896457	−	0.651314i
$851$	−3.55445	+	2.58246i	−0.121845	+	0.0885256i
$852$	−25.6039			−0.877175
$853$	17.4993	−	12.7140i	0.599166	−	0.435319i	−0.246417	−	0.969164i	$-0.579253\pi$
$853$	17.4993	−	12.7140i	0.599166	−	0.435319i	0.845583	+	0.533844i	$0.179253\pi$
$854$	11.1915	+	34.4438i	0.382964	+	1.17864i
$855$	2.32336	−	7.15058i	0.0794574	−	0.244545i
$856$	25.2078	+	18.3145i	0.861583	+	0.625977i
$857$	−15.8376	−	11.5067i	−0.541002	−	0.393061i	0.283455	−	0.958985i	$-0.408519\pi$
$857$	−15.8376	−	11.5067i	−0.541002	−	0.393061i	−0.824457	+	0.565925i	$0.808519\pi$
$858$	0.777783			0.0265531
$859$	−2.17447	+	6.69234i	−0.0741920	+	0.228340i	−0.981275	−	0.192613i	$-0.938304\pi$
$859$	−2.17447	+	6.69234i	−0.0741920	+	0.228340i	0.907083	+	0.420952i	$0.138304\pi$
$860$	34.7888			1.18629
$861$	−1.56987	+	1.16353i	−0.0535012	+	0.0396531i
$862$	−34.8673			−1.18759
$863$	−10.9178	+	33.6014i	−0.371645	+	1.14381i	0.574069	+	0.818807i	$0.305364\pi$
$863$	−10.9178	+	33.6014i	−0.371645	+	1.14381i	−0.945714	+	0.324999i	$0.894636\pi$
$864$	34.8999			1.18732
$865$	−24.8072	−	18.0234i	−0.843468	−	0.612816i
$866$	−2.59607	−	1.88615i	−0.0882180	−	0.0640942i
$867$	1.34130	−	4.12810i	0.0455530	−	0.140198i
$868$	−13.7764	−	42.3994i	−0.467601	−	1.43913i
$869$	15.1401	−	10.9999i	0.513593	−	0.373147i
$870$	−10.6459			−0.360928
$871$	−0.551192	+	0.400464i	−0.0186764	+	0.0135692i
$872$	118.883	−	86.3734i	4.02588	−	2.92497i
$873$	−31.0763	−	22.5782i	−1.05177	−	0.764157i
$874$	4.71095	−	14.4988i	0.159350	−	0.490430i
$875$	12.0773			0.408286
$876$	19.7308	+	14.3352i	0.666641	+	0.484343i
$877$	1.82020	+	5.60199i	0.0614637	+	0.189166i	0.977074	−	0.212902i	$-0.0682916\pi$
$877$	1.82020	+	5.60199i	0.0614637	+	0.189166i	−0.915610	+	0.402068i	$0.868292\pi$
$878$	−5.27314	+	3.83116i	−0.177960	+	0.129295i
$879$	−2.02820	+	6.24217i	−0.0684096	+	0.210543i
$880$	−16.8332	−	51.8072i	−0.567446	−	1.74642i
$881$	−5.95760	−	18.3356i	−0.200717	−	0.617743i	−0.999862	−	0.0166049i	$-0.994714\pi$
$881$	−5.95760	−	18.3356i	−0.200717	−	0.617743i	0.799145	−	0.601138i	$-0.205286\pi$
$882$	2.43342	+	7.48930i	0.0819375	+	0.252178i
$883$	5.27590	+	16.2376i	0.177548	+	0.546437i	0.999741	−	0.0227723i	$-0.00724929\pi$
$883$	5.27590	+	16.2376i	0.177548	+	0.546437i	−0.822192	+	0.569210i	$0.807249\pi$
$884$	−3.72600	+	11.4674i	−0.125319	+	0.385692i
$885$	−4.10977	+	2.98592i	−0.138148	+	0.100371i
$886$	12.8473	+	39.5399i	0.431613	+	1.32837i
$887$	−19.4389	−	14.1232i	−0.652694	−	0.474210i	0.211494	−	0.977379i	$-0.432167\pi$
$887$	−19.4389	−	14.1232i	−0.652694	−	0.474210i	−0.864188	+	0.503170i	$0.832167\pi$
$888$	−3.29240			−0.110486
$889$	−6.67238	+	20.5355i	−0.223784	+	0.688738i
$890$	−20.8877	−	15.1758i	−0.700156	−	0.508693i
$891$	15.3860	−	11.1786i	0.515451	−	0.374497i
$892$	−40.2795	+	29.2648i	−1.34866	+	0.979857i
$893$	8.16828			0.273341
$894$	−4.64933	+	3.37793i	−0.155497	+	0.112975i
$895$	−4.53403	−	13.9543i	−0.151556	−	0.466441i
$896$	8.79511	−	27.0686i	0.293824	−	0.904297i
$897$	−0.367552	−	0.267042i	−0.0122722	−	0.00891629i
$898$	−28.7076	−	20.8573i	−0.957985	−	0.696017i
$899$	63.5217			2.11857
$900$	10.2347	−	31.4992i	0.341157	−	1.04997i
$901$	12.8910			0.429463
$902$	32.4376	−	24.0416i	1.08006	−	0.800498i
$903$	−1.17470			−0.0390915
$904$	−29.7498	+	91.5605i	−0.989464	+	3.04526i
$905$	34.9951			1.16328
$906$	2.11497	+	1.53662i	0.0702653	+	0.0510507i
$907$	−19.0185	−	13.8178i	−0.631499	−	0.458811i	0.225420	−	0.974262i	$-0.427625\pi$
$907$	−19.0185	−	13.8178i	−0.631499	−	0.458811i	−0.856919	+	0.515451i	$0.827625\pi$
$908$	−33.4650	+	102.995i	−1.11057	+	3.41800i
$909$	−9.53240	−	29.3377i	−0.316170	−	0.973071i
$910$	−1.49960	+	1.08953i	−0.0497114	+	0.0361175i
$911$	48.6869			1.61307			0.806534	−	0.591187i	$-0.201341\pi$
$911$	48.6869			1.61307			0.806534	+	0.591187i	$0.201341\pi$
$912$	5.21468	−	3.78869i	0.172675	−	0.125456i
$913$	−21.4857	+	15.6102i	−0.711071	+	0.516624i
$914$	−21.5370	−	15.6476i	−0.712381	−	0.517575i
$915$	2.13425	−	6.56855i	0.0705562	−	0.217150i
$916$	−71.9085			−2.37592
$917$	−2.80275	−	2.03632i	−0.0925551	−	0.0672452i
$918$	−8.43204	−	25.9511i	−0.278299	−	0.856515i
$919$	5.89350	−	4.28188i	0.194409	−	0.141246i	−0.486323	−	0.873779i	$-0.661662\pi$
$919$	5.89350	−	4.28188i	0.194409	−	0.141246i	0.680731	+	0.732533i	$0.261662\pi$
$920$	−17.4270	+	53.6348i	−0.574551	+	1.76829i
$921$	2.24327	+	6.90408i	0.0739183	+	0.227497i
$922$	−8.03685	−	24.7349i	−0.264680	−	0.814600i
$923$	−1.96289	−	6.04116i	−0.0646093	−	0.198847i
$924$	1.17187	+	3.60665i	0.0385518	+	0.118650i
$925$	−0.786681	+	2.42116i	−0.0258659	+	0.0796071i
$926$	88.7919	−	64.5111i	2.91788	−	2.11997i
$927$	0.389045	+	1.19736i	0.0127779	+	0.0393264i
$928$	119.147	+	86.5655i	3.91120	+	2.84165i
$929$	32.0990			1.05313			0.526567	−	0.850134i	$-0.323479\pi$
$929$	32.0990			1.05313			0.526567	+	0.850134i	$0.323479\pi$
$930$	−3.61142	+	11.1148i	−0.118423	+	0.364469i
$931$	1.23607	+	0.898058i	0.0405106	+	0.0294327i
$932$	−50.7744	+	36.8898i	−1.66317	+	1.20837i
$933$	8.30645	−	6.03499i	0.271941	−	0.197577i
$934$	40.6282			1.32939
$935$	−17.8131	+	12.9420i	−0.582551	+	0.423248i
$936$	3.28382	+	10.1066i	0.107335	+	0.330343i
$937$	1.71640	−	5.28253i	0.0560723	−	0.172573i	−0.919098	−	0.394029i	$-0.871081\pi$
$937$	1.71640	−	5.28253i	0.0560723	−	0.172573i	0.975170	+	0.221456i	$0.0710810\pi$
$938$	−3.69425	−	2.68403i	−0.120621	−	0.0876366i
$939$	−2.13871	−	1.55386i	−0.0697940	−	0.0507083i
$940$	−48.3174			−1.57594
$941$	−4.75524	+	14.6351i	−0.155016	+	0.477091i	−0.998163	−	0.0605933i	$-0.980701\pi$
$941$	−4.75524	+	14.6351i	−0.155016	+	0.477091i	0.843146	+	0.537684i	$0.180701\pi$
$942$	4.38812			0.142973
$943$	−23.5832	+	0.224123i	−0.767976	+	0.00729845i
$944$	135.935			4.42431
$945$	0.942991	−	2.90223i	0.0306755	−	0.0944095i
$946$	24.2723			0.789159
$947$	26.5792	+	19.3109i	0.863708	+	0.627520i	0.928891	−	0.370353i	$-0.120763\pi$
$947$	26.5792	+	19.3109i	0.863708	+	0.627520i	−0.0651833	+	0.997873i	$0.520763\pi$
$948$	−10.5971	−	7.69927i	−0.344179	−	0.250061i
$949$	−1.86972	+	5.75440i	−0.0606936	+	0.186796i
$950$	−2.72967	−	8.40106i	−0.0885622	−	0.272566i
$951$	1.13354	−	0.823566i	0.0367576	−	0.0267060i
$952$	−50.5387			−1.63797
$953$	22.0372	−	16.0109i	0.713854	−	0.518645i	−0.170561	−	0.985347i	$-0.554558\pi$
$953$	22.0372	−	16.0109i	0.713854	−	0.518645i	0.884415	+	0.466702i	$0.154558\pi$
$954$	14.6974	−	10.6783i	0.475847	−	0.345723i
$955$	4.14114	+	3.00872i	0.134004	+	0.0973598i
$956$	−13.5957	+	41.8434i	−0.439718	+	1.35331i
$957$	−5.40339			−0.174667
$958$	−76.4444	−	55.5401i	−2.46981	−	1.79442i
$959$	−5.09035	−	15.6665i	−0.164376	−	0.505897i
$960$	−10.3652	+	7.53074i	−0.334535	+	0.243054i
$961$	11.9691	−	36.8371i	0.386100	−	1.18829i
$962$	−0.403609	−	1.24218i	−0.0130129	−	0.0400496i
$963$	−3.09456	−	9.52409i	−0.0997209	−	0.306909i
$964$	8.21923	+	25.2962i	0.264724	+	0.814736i
$965$	4.59249	+	14.1342i	0.147838	+	0.454997i
$966$	0.940951	−	2.89595i	0.0302746	−	0.0931756i
$967$	2.68404	−	1.95007i	0.0863129	−	0.0627100i	−0.543792	−	0.839220i	$-0.683012\pi$
$967$	2.68404	−	1.95007i	0.0863129	−	0.0627100i	0.630105	+	0.776510i	$0.283012\pi$
$968$	15.6012	+	48.0155i	0.501441	+	1.54328i
$969$	−2.10779	−	1.53140i	−0.0677119	−	0.0491956i
$970$	60.6008			1.94577
$971$	−14.7946	+	45.5330i	−0.474780	+	1.46122i	0.371473	+	0.928444i	$0.378853\pi$
$971$	−14.7946	+	45.5330i	−0.474780	+	1.46122i	−0.846254	+	0.532780i	$0.821147\pi$
$972$	−34.1261	−	24.7941i	−1.09460	−	0.795271i
$973$	−8.96195	+	6.51124i	−0.287307	+	0.208741i
$974$	47.3998	−	34.4380i	1.51879	−	1.10346i
$975$	−0.263247			−0.00843064
$976$	−149.518	+	108.631i	−4.78595	+	3.47720i
$977$	−1.84917	−	5.69114i	−0.0591600	−	0.182076i	0.917109	−	0.398636i	$-0.130516\pi$
$977$	−1.84917	−	5.69114i	−0.0591600	−	0.182076i	−0.976269	+	0.216560i	$0.930516\pi$
$978$	2.85089	−	8.77414i	0.0911615	−	0.280566i
$979$	−10.6017	−	7.70260i	−0.338832	−	0.246176i
$980$	−7.31166	−	5.31223i	−0.233562	−	0.169693i
$981$	−47.2283			−1.50788
$982$	−20.6054	+	63.4170i	−0.657546	+	2.02372i
$983$	−60.7070			−1.93625			−0.968126	−	0.250465i	$-0.919417\pi$
$983$	−60.7070			−1.93625			−0.968126	+	0.250465i	$0.919417\pi$
$984$	−14.3962	−	10.2518i	−0.458934	−	0.326817i
$985$	−5.06412			−0.161356
$986$	35.5823	−	109.511i	1.13317	−	3.48754i
$987$	1.63151			0.0519315
$988$	2.66725	+	1.93787i	0.0848566	+	0.0616519i
$989$	−11.4702	−	8.33358i	−0.364731	−	0.264992i
$990$	−9.58871	+	29.5110i	−0.304749	+	0.937922i
$991$	14.9214	+	45.9234i	0.473994	+	1.45880i	0.847309	+	0.531100i	$0.178221\pi$
$991$	14.9214	+	45.9234i	0.473994	+	1.45880i	−0.373315	+	0.927705i	$0.621779\pi$
$992$	130.797	−	95.0299i	4.15282	−	3.01720i
$993$	−7.57261			−0.240310
$994$	34.4425	−	25.0239i	1.09245	−	0.793711i
$995$	22.3507	−	16.2387i	0.708565	−	0.514803i
$996$	15.0386	+	10.9262i	0.476517	+	0.346210i
$997$	−5.13257	+	15.7964i	−0.162550	+	0.500278i	−0.998847	−	0.0479982i	$-0.984716\pi$
$997$	−5.13257	+	15.7964i	−0.162550	+	0.500278i	0.836297	+	0.548276i	$0.184716\pi$
$998$	17.8473			0.564945
$999$	1.73957	+	1.26387i	0.0550377	+	0.0399872i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.h.d.57.1	✓	40
41.18	even	5	inner	287.2.h.d.141.1	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.d.57.1	✓	40	1.1	even	1	trivial
287.2.h.d.141.1	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)

\(f(q)\)	\(=\)	\(q+(-0.837127 + 2.57641i) q^{2} +0.305172 q^{3} +(-4.31909 - 3.13800i) q^{4} +(-1.36956 - 0.995044i) q^{5} +(-0.255467 + 0.786248i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(7.31716 - 5.31623i) q^{8} -2.90687 q^{9} +O(q^{10})\)	\(q+(-0.837127 + 2.57641i) q^{2} +0.305172 q^{3} +(-4.31909 - 3.13800i) q^{4} +(-1.36956 - 0.995044i) q^{5} +(-0.255467 + 0.786248i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(7.31716 - 5.31623i) q^{8} -2.90687 q^{9} +(3.71014 - 2.69558i) q^{10} +(1.88312 - 1.36816i) q^{11} +(-1.31806 - 0.957629i) q^{12} +(0.124902 - 0.384408i) q^{13} +2.70900 q^{14} +(-0.417951 - 0.303659i) q^{15} +(4.27192 + 13.1476i) q^{16} +(4.52061 - 3.28441i) q^{17} +(2.43342 - 7.48930i) q^{18} +(-0.472137 - 1.45309i) q^{19} +(2.79281 + 8.59537i) q^{20} +(-0.0943032 - 0.290235i) q^{21} +(1.94855 + 5.99701i) q^{22} +(1.13819 - 3.50298i) q^{23} +(2.23299 - 1.62236i) q^{24} +(-0.659501 - 2.02973i) q^{25} +(0.885835 + 0.643597i) q^{26} -1.80261 q^{27} +(-1.64975 + 5.07739i) q^{28} +(-6.15405 - 4.47118i) q^{29} +(1.13223 - 0.822613i) q^{30} +(-6.75579 + 4.90837i) q^{31} -19.3608 q^{32} +(0.574673 - 0.417525i) q^{33} +(4.67768 + 14.3964i) q^{34} +(-0.523126 + 1.61002i) q^{35} +(12.5550 + 9.12176i) q^{36} +(-0.965031 - 0.701136i) q^{37} +4.13899 q^{38} +(0.0381165 - 0.117310i) q^{39} -15.3112 q^{40} +(-2.03646 - 6.07065i) q^{41} +0.826710 q^{42} +(1.18950 - 3.66090i) q^{43} -12.4266 q^{44} +(3.98114 + 2.89247i) q^{45} +(8.07231 + 5.86488i) q^{46} +(-1.65207 + 5.08454i) q^{47} +(1.30367 + 4.01228i) q^{48} +(-0.809017 + 0.587785i) q^{49} +5.78152 q^{50} +(1.37956 - 1.00231i) q^{51} +(-1.74573 + 1.26835i) q^{52} +(1.86641 + 1.35602i) q^{53} +(1.50901 - 4.64427i) q^{54} -3.94043 q^{55} +(-7.31716 - 5.31623i) q^{56} +(-0.144083 - 0.443441i) q^{57} +(16.6713 - 12.1124i) q^{58} +(3.03860 - 9.35186i) q^{59} +(0.852285 + 2.62306i) q^{60} +(4.13122 + 12.7146i) q^{61} +(-6.99053 - 21.5146i) q^{62} +(0.898272 + 2.76460i) q^{63} +(7.66361 - 23.5862i) q^{64} +(-0.553564 + 0.402188i) q^{65} +(0.594641 + 1.83012i) q^{66} +(-1.36369 - 0.990781i) q^{67} -29.8314 q^{68} +(0.347342 - 1.06901i) q^{69} +(-3.71014 - 2.69558i) q^{70} +(12.7141 - 9.23732i) q^{71} +(-21.2700 + 15.4536i) q^{72} -14.9695 q^{73} +(2.61427 - 1.89938i) q^{74} +(-0.201261 - 0.619417i) q^{75} +(-2.52059 + 7.75758i) q^{76} +(-1.88312 - 1.36816i) q^{77} +(0.270332 + 0.196408i) q^{78} +8.03993 q^{79} +(7.23180 - 22.2572i) q^{80} +8.17051 q^{81} +(17.3453 - 0.164841i) q^{82} -11.4096 q^{83} +(-0.503455 + 1.54948i) q^{84} -9.45939 q^{85} +(8.43623 + 6.12928i) q^{86} +(-1.87804 - 1.36448i) q^{87} +(6.50559 - 20.0221i) q^{88} +(-1.73973 - 5.35433i) q^{89} +(-10.7849 + 7.83569i) q^{90} -0.404191 q^{91} +(-15.9083 + 11.5580i) q^{92} +(-2.06168 + 1.49790i) q^{93} +(-11.7169 - 8.51281i) q^{94} +(-0.799267 + 2.45989i) q^{95} -5.90836 q^{96} +(10.6906 + 7.76719i) q^{97} +(-0.837127 - 2.57641i) q^{98} +(-5.47397 + 3.97707i) 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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