LMFDB - Embedded newform 190.2.i.a.49.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [190,2,Mod(49,190)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(190, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 4]))

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

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

chi := DirichletCharacter("190.49");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 190 = 2 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	190.i (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.51715763840$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$10$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 20 x^{18} + 270 x^{16} - 1928 x^{14} + 9835 x^{12} - 29980 x^{10} + 66046 x^{8} - 89920 x^{6} + \cdots + 10000 $ x^20 - 20x^18 + 270x^16 - 1928x^14 + 9835x^12 - 29980x^10 + 66046x^8 - 89920x^6 + 85425x^4 - 34500*x^2 + 10000
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			49.1
Root			$2.02701 + 1.17030i$ of defining polynomial
Character	$\chi$	$=$	190.49
Dual form			190.2.i.a.159.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(-2.02701 - 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.07189 + 1.96241i) q^{5} +(1.17030 + 2.02701i) q^{6} +1.34059i q^{7} -1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.02701 - 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.07189 + 1.96241i) q^{5} +(1.17030 + 2.02701i) q^{6} +1.34059i q^{7} -1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +(0.0529205 - 2.23544i) q^{10} +3.25749 q^{11} -2.34059i q^{12} +(1.29200 - 0.745938i) q^{13} +(0.670297 - 1.16099i) q^{14} +(0.123866 - 5.23226i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(5.70242 + 3.29230i) q^{17} -2.47838i q^{18} +(1.25821 - 4.17336i) q^{19} +(-1.16355 + 1.90949i) q^{20} +(1.56889 - 2.71740i) q^{21} +(-2.82107 - 1.62875i) q^{22} +(1.86306 - 1.07564i) q^{23} +(-1.17030 + 2.02701i) q^{24} +(-2.70210 + 4.20698i) q^{25} -1.49188 q^{26} +1.22089i q^{27} +(-1.16099 + 0.670297i) q^{28} +(2.65543 + 4.59933i) q^{29} +(-2.72340 + 4.46934i) q^{30} -2.76561 q^{31} +(0.866025 - 0.500000i) q^{32} +(-6.60298 - 3.81223i) q^{33} +(-3.29230 - 5.70242i) q^{34} +(-2.63080 + 1.43697i) q^{35} +(-1.23919 + 2.14634i) q^{36} +5.27098i q^{37} +(-3.17632 + 2.98513i) q^{38} -3.49188 q^{39} +(1.96241 - 1.07189i) q^{40} +(-2.79230 + 4.83640i) q^{41} +(-2.71740 + 1.56889i) q^{42} +(-6.61466 - 3.81898i) q^{43} +(1.62875 + 2.82107i) q^{44} +(-2.88373 + 4.73245i) q^{45} -2.15128 q^{46} +(0.806983 - 0.465912i) q^{47} +(2.02701 - 1.17030i) q^{48} +5.20281 q^{49} +(4.44358 - 2.29230i) q^{50} +(-7.70593 - 13.3471i) q^{51} +(1.29200 + 0.745938i) q^{52} +(7.87214 - 4.54498i) q^{53} +(0.610447 - 1.05732i) q^{54} +(3.49167 + 6.39253i) q^{55} +1.34059 q^{56} +(-7.43448 + 6.98698i) q^{57} -5.31085i q^{58} +(-0.0837650 + 0.145085i) q^{59} +(4.59321 - 2.50886i) q^{60} +(-5.84474 - 10.1234i) q^{61} +(2.39509 + 1.38281i) q^{62} +(-2.87738 + 1.66125i) q^{63} -1.00000 q^{64} +(2.84872 + 1.73587i) q^{65} +(3.81223 + 6.60298i) q^{66} +(11.3201 - 6.53563i) q^{67} +6.58459i q^{68} -5.03528 q^{69} +(2.99682 + 0.0709450i) q^{70} +(-3.59466 + 6.22613i) q^{71} +(2.14634 - 1.23919i) q^{72} +(-13.2089 - 7.62615i) q^{73} +(2.63549 - 4.56480i) q^{74} +(10.4006 - 5.36534i) q^{75} +(4.24334 - 0.997038i) q^{76} +4.36697i q^{77} +(3.02405 + 1.74594i) q^{78} +(-7.75423 + 13.4307i) q^{79} +(-2.23544 - 0.0529205i) q^{80} +(5.14638 - 8.91380i) q^{81} +(4.83640 - 2.79230i) q^{82} +0.313611i q^{83} +3.13779 q^{84} +(-0.348460 + 14.7195i) q^{85} +(3.81898 + 6.61466i) q^{86} -12.4306i q^{87} -3.25749i q^{88} +(-4.90689 - 8.49898i) q^{89} +(4.86360 - 2.65656i) q^{90} +(1.00000 + 1.73205i) q^{91} +(1.86306 + 1.07564i) q^{92} +(5.60594 + 3.23659i) q^{93} -0.931824 q^{94} +(9.53850 - 2.00426i) q^{95} -2.34059 q^{96} +(-10.4184 - 6.01504i) q^{97} +(-4.50576 - 2.60140i) q^{98} +(4.03665 + 6.99169i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 10 q^{4} - 2 q^{5} + 10 q^{9}+O(q^{10}) $ 20 * q + 10 * q^4 - 2 * q^5 + 10 * q^9	$ 20 q + 10 q^{4} - 2 q^{5} + 10 q^{9} - 12 q^{11} - 10 q^{14} - 2 q^{15} - 10 q^{16} - 22 q^{19} - 4 q^{20} + 40 q^{21} - 6 q^{25} + 8 q^{26} - 4 q^{29} + 12 q^{30} - 16 q^{31} - 8 q^{34} - 2 q^{35} - 10 q^{36} - 32 q^{39} + 2 q^{41} - 6 q^{44} - 56 q^{45} - 52 q^{46} + 40 q^{49} + 40 q^{50} + 8 q^{51} + 36 q^{54} + 18 q^{55} - 20 q^{56} - 44 q^{59} + 2 q^{60} - 4 q^{61} - 20 q^{64} + 48 q^{65} + 4 q^{66} + 48 q^{69} - 8 q^{70} - 44 q^{71} + 10 q^{74} - 56 q^{75} + 4 q^{76} - 4 q^{79} - 2 q^{80} - 10 q^{81} + 80 q^{84} + 12 q^{85} + 2 q^{89} + 42 q^{90} + 20 q^{91} - 40 q^{94} - 4 q^{95} - 26 q^{99}+O(q^{100}) $ 20 * q + 10 * q^4 - 2 * q^5 + 10 * q^9 - 12 * q^11 - 10 * q^14 - 2 * q^15 - 10 * q^16 - 22 * q^19 - 4 * q^20 + 40 * q^21 - 6 * q^25 + 8 * q^26 - 4 * q^29 + 12 * q^30 - 16 * q^31 - 8 * q^34 - 2 * q^35 - 10 * q^36 - 32 * q^39 + 2 * q^41 - 6 * q^44 - 56 * q^45 - 52 * q^46 + 40 * q^49 + 40 * q^50 + 8 * q^51 + 36 * q^54 + 18 * q^55 - 20 * q^56 - 44 * q^59 + 2 * q^60 - 4 * q^61 - 20 * q^64 + 48 * q^65 + 4 * q^66 + 48 * q^69 - 8 * q^70 - 44 * q^71 + 10 * q^74 - 56 * q^75 + 4 * q^76 - 4 * q^79 - 2 * q^80 - 10 * q^81 + 80 * q^84 + 12 * q^85 + 2 * q^89 + 42 * q^90 + 20 * q^91 - 40 * q^94 - 4 * q^95 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/190\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	−2.02701	−	1.17030i	−1.17030	−	0.675671i	−0.216547	−	0.976272i	$-0.569480\pi$
$3$	−2.02701	−	1.17030i	−1.17030	−	0.675671i	−0.953750	+	0.300601i	$0.902813\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	1.07189	+	1.96241i	0.479364	+	0.877616i
$5$	1.07189	+	1.96241i	0.479364	+	0.877616i
$6$	1.17030	+	2.02701i	0.477772	+	0.827525i
$7$			1.34059i			0.506697i	0.967375	+	0.253349i	$0.0815320\pi$
$7$			1.34059i			0.506697i	−0.967375	+	0.253349i	$0.918468\pi$
$8$		−	1.00000i		−	0.353553i
$9$	1.23919	+	2.14634i	0.413064	+	0.715448i
$10$	0.0529205	−	2.23544i	0.0167349	−	0.706909i
$11$	3.25749			0.982170			0.491085	−	0.871112i	$-0.336600\pi$
$11$	3.25749			0.982170			0.491085	+	0.871112i	$0.336600\pi$
$12$		−	2.34059i		−	0.675671i
$13$	1.29200	−	0.745938i	0.358337	−	0.206886i	−0.310014	−	0.950732i	$-0.600334\pi$
$13$	1.29200	−	0.745938i	0.358337	−	0.206886i	0.668351	+	0.743846i	$0.267000\pi$
$14$	0.670297	−	1.16099i	0.179144	−	0.310287i
$15$	0.123866	−	5.23226i	0.0319819	−	1.35096i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	5.70242	+	3.29230i	1.38304	+	0.798499i	0.992519	−	0.122094i	$-0.0389610\pi$
$17$	5.70242	+	3.29230i	1.38304	+	0.798499i	0.390523	+	0.920593i	$0.372294\pi$
$18$		−	2.47838i		−	0.584161i
$19$	1.25821	−	4.17336i	0.288653	−	0.957434i
$19$	1.25821	−	4.17336i	0.288653	−	0.957434i
$20$	−1.16355	+	1.90949i	−0.260178	+	0.426975i
$21$	1.56889	−	2.71740i	0.342361	−	0.592986i
$22$	−2.82107	−	1.62875i	−0.601454	−	0.347250i
$23$	1.86306	−	1.07564i	0.388476	−	0.224287i	−0.293024	−	0.956105i	$-0.594662\pi$
$23$	1.86306	−	1.07564i	0.388476	−	0.224287i	0.681499	+	0.731819i	$0.261328\pi$
$24$	−1.17030	+	2.02701i	−0.238886	+	0.413763i
$25$	−2.70210	+	4.20698i	−0.540420	+	0.841395i
$26$	−1.49188			−0.292581
$27$			1.22089i			0.234961i
$28$	−1.16099	+	0.670297i	−0.219406	+	0.126674i
$29$	2.65543	+	4.59933i	0.493100	+	0.854075i	0.999968	−	0.00794880i	$-0.00253021\pi$
$29$	2.65543	+	4.59933i	0.493100	+	0.854075i	−0.506868	+	0.862024i	$0.669197\pi$
$30$	−2.72340	+	4.46934i	−0.497223	+	0.815986i
$31$	−2.76561			−0.496719			−0.248360	−	0.968668i	$-0.579891\pi$
$31$	−2.76561			−0.496719			−0.248360	+	0.968668i	$0.579891\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−6.60298	−	3.81223i	−1.14943	−	0.663624i
$34$	−3.29230	−	5.70242i	−0.564624	−	0.977958i
$35$	−2.63080	+	1.43697i	−0.444686	+	0.242892i
$36$	−1.23919	+	2.14634i	−0.206532	+	0.357724i
$37$			5.27098i			0.866544i	0.901263	+	0.433272i	$0.142641\pi$
$37$			5.27098i			0.866544i	−0.901263	+	0.433272i	$0.857359\pi$
$38$	−3.17632	+	2.98513i	−0.515267	+	0.484252i
$39$	−3.49188			−0.559148
$40$	1.96241	−	1.07189i	0.310284	−	0.169481i
$41$	−2.79230	+	4.83640i	−0.436083	+	0.755319i	−0.997383	−	0.0722938i	$-0.976968\pi$
$41$	−2.79230	+	4.83640i	−0.436083	+	0.755319i	0.561300	+	0.827612i	$0.310301\pi$
$42$	−2.71740	+	1.56889i	−0.419305	+	0.242086i
$43$	−6.61466	−	3.81898i	−1.00873	−	0.582389i	−0.0979082	−	0.995195i	$-0.531215\pi$
$43$	−6.61466	−	3.81898i	−1.00873	−	0.582389i	−0.910819	+	0.412807i	$0.864548\pi$
$44$	1.62875	+	2.82107i	0.245543	+	0.425292i
$45$	−2.88373	+	4.73245i	−0.429881	+	0.705471i
$46$	−2.15128			−0.317189
$47$	0.806983	−	0.465912i	0.117711	−	0.0679602i	−0.439989	−	0.898003i	$-0.645018\pi$
$47$	0.806983	−	0.465912i	0.117711	−	0.0679602i	0.557699	+	0.830043i	$0.311684\pi$
$48$	2.02701	−	1.17030i	0.292574	−	0.168918i
$49$	5.20281			0.743258
$50$	4.44358	−	2.29230i	0.628417	−	0.324180i
$51$	−7.70593	−	13.3471i	−1.07905	−	1.86896i
$52$	1.29200	+	0.745938i	0.179168	+	0.103443i
$53$	7.87214	−	4.54498i	1.08132	−	0.624301i	0.150069	−	0.988676i	$-0.452051\pi$
$53$	7.87214	−	4.54498i	1.08132	−	0.624301i	0.931252	+	0.364375i	$0.118717\pi$
$54$	0.610447	−	1.05732i	0.0830713	−	0.143884i
$55$	3.49167	+	6.39253i	0.470817	+	0.861969i
$56$	1.34059			0.179144
$57$	−7.43448	+	6.98698i	−0.984720	+	0.925448i
$58$		−	5.31085i		−	0.697349i
$59$	−0.0837650	+	0.145085i	−0.0109053	+	0.0188885i	−0.871427	−	0.490526i	$-0.836805\pi$
$59$	−0.0837650	+	0.145085i	−0.0109053	+	0.0188885i	0.860521	+	0.509415i	$0.170138\pi$
$60$	4.59321	−	2.50886i	0.592980	−	0.323893i
$61$	−5.84474	−	10.1234i	−0.748342	−	1.29617i	−0.948617	−	0.316427i	$-0.897517\pi$
$61$	−5.84474	−	10.1234i	−0.748342	−	1.29617i	0.200274	−	0.979740i	$-0.435817\pi$
$62$	2.39509	+	1.38281i	0.304177	+	0.175617i
$63$	−2.87738	+	1.66125i	−0.362515	+	0.209298i
$64$	−1.00000			−0.125000
$65$	2.84872	+	1.73587i	0.353340	+	0.215309i
$66$	3.81223	+	6.60298i	0.469253	+	0.812771i
$67$	11.3201	−	6.53563i	1.38296	−	0.798455i	0.390455	−	0.920622i	$-0.372318\pi$
$67$	11.3201	−	6.53563i	1.38296	−	0.798455i	0.992510	+	0.122167i	$0.0389845\pi$
$68$			6.58459i			0.798499i
$69$	−5.03528			−0.606176
$70$	2.99682	+	0.0709450i	0.358189	+	0.00847955i
$71$	−3.59466	+	6.22613i	−0.426607	+	0.738906i	−0.996569	−	0.0827657i	$-0.973625\pi$
$71$	−3.59466	+	6.22613i	−0.426607	+	0.738906i	0.569962	+	0.821671i	$0.306958\pi$
$72$	2.14634	−	1.23919i	0.252949	−	0.146040i
$73$	−13.2089	−	7.62615i	−1.54598	−	0.892573i	−0.998442	−	0.0557926i	$-0.982231\pi$
$73$	−13.2089	−	7.62615i	−1.54598	−	0.892573i	−0.547539	−	0.836780i	$-0.684435\pi$
$74$	2.63549	−	4.56480i	0.306370	−	0.530648i
$75$	10.4006	−	5.36534i	1.20096	−	0.619536i
$76$	4.24334	−	0.997038i	0.486744	−	0.114368i
$77$			4.36697i			0.497663i
$78$	3.02405	+	1.74594i	0.342407	+	0.197689i
$79$	−7.75423	+	13.4307i	−0.872419	+	1.51107i	−0.0129320	+	0.999916i	$0.504117\pi$
$79$	−7.75423	+	13.4307i	−0.872419	+	1.51107i	−0.859487	+	0.511158i	$0.829217\pi$
$80$	−2.23544	−	0.0529205i	−0.249930	−	0.00591670i
$81$	5.14638	−	8.91380i	0.571820	−	0.990422i
$82$	4.83640	−	2.79230i	0.534091	−	0.308358i
$83$			0.313611i			0.0344233i	0.999852	+	0.0172116i	$0.00547890\pi$
$83$			0.313611i			0.0344233i	−0.999852	+	0.0172116i	$0.994521\pi$
$84$	3.13779			0.342361
$85$	−0.348460	+	14.7195i	−0.0377958	+	1.59655i
$86$	3.81898	+	6.61466i	0.411811	+	0.713278i
$87$		−	12.4306i		−	1.33270i
$88$		−	3.25749i		−	0.347250i
$89$	−4.90689	−	8.49898i	−0.520129	−	0.900890i	−0.999726	−	0.0234013i	$-0.992550\pi$
$89$	−4.90689	−	8.49898i	−0.520129	−	0.900890i	0.479597	−	0.877489i	$-0.340783\pi$
$90$	4.86360	−	2.65656i	0.512669	−	0.280025i
$91$	1.00000	+	1.73205i	0.104828	+	0.181568i
$92$	1.86306	+	1.07564i	0.194238	+	0.112143i
$93$	5.60594	+	3.23659i	0.581309	+	0.335619i
$94$	−0.931824			−0.0961103
$95$	9.53850	−	2.00426i	0.978629	−	0.205633i
$96$	−2.34059			−0.238886
$97$	−10.4184	−	6.01504i	−1.05782	−	0.610735i	−0.132994	−	0.991117i	$-0.542459\pi$
$97$	−10.4184	−	6.01504i	−1.05782	−	0.610735i	−0.924829	+	0.380382i	$0.875792\pi$
$98$	−4.50576	−	2.60140i	−0.455151	−	0.262781i
$99$	4.03665	+	6.99169i	0.405699	+	0.702691i
$100$	−4.99440	−	0.236602i	−0.499440	−	0.0236602i
$101$	6.25008	+	10.8255i	0.621907	+	1.07717i	0.989130	+	0.147041i	$0.0469750\pi$
$101$	6.25008	+	10.8255i	0.621907	+	1.07717i	−0.367224	+	0.930133i	$0.619692\pi$
$102$			15.4119i			1.52600i
$103$			8.78740i			0.865848i	0.901430	+	0.432924i	$0.142518\pi$
$103$			8.78740i			0.865848i	−0.901430	+	0.432924i	$0.857482\pi$
$104$	−0.745938	−	1.29200i	−0.0731452	−	0.126691i
$105$	7.01434	+	0.166053i	0.684530	+	0.0162052i
$106$	−9.08996			−0.882895
$107$		−	10.0000i		−	0.966736i	−0.875417	−	0.483368i	$-0.839413\pi$
$107$		−	10.0000i		−	0.966736i	0.875417	−	0.483368i	$-0.160587\pi$
$108$	−1.05732	+	0.610447i	−0.101741	+	0.0587403i
$109$	8.17306	−	14.1562i	0.782838	−	1.35591i	−0.147445	−	0.989070i	$-0.547105\pi$
$109$	8.17306	−	14.1562i	0.782838	−	1.35591i	0.930282	−	0.366844i	$-0.119562\pi$
$110$	0.172388	−	7.28193i	0.0164366	−	0.694305i
$111$	6.16862	−	10.6844i	0.585499	−	1.01411i
$112$	−1.16099	−	0.670297i	−0.109703	−	0.0633371i
$113$		−	6.36514i		−	0.598782i	−0.954131	−	0.299391i	$-0.903217\pi$
$113$		−	6.36514i		−	0.598782i	0.954131	−	0.299391i	$-0.0967834\pi$
$114$	9.93193	−	2.33366i	0.930211	−	0.218568i
$115$	4.10785	+	2.50313i	0.383059	+	0.233418i
$116$	−2.65543	+	4.59933i	−0.246550	+	0.427037i
$117$	3.20208	+	1.84872i	0.296032	+	0.170914i
$118$	0.145085	−	0.0837650i	0.0133562	−	0.00771120i
$119$	−4.41364	+	7.64464i	−0.404597	+	0.700783i
$120$	−5.23226	−	0.123866i	−0.477638	−	0.0113073i
$121$	−0.388758			−0.0353416
$122$			11.6895i			1.05832i
$123$	11.3201	−	6.53563i	1.02069	−	0.589298i
$124$	−1.38281	−	2.39509i	−0.124180	−	0.215086i
$125$	−11.1522	−	0.793215i	−0.997480	−	0.0709473i
$126$	3.32251			0.295992
$127$	−0.382151	+	0.220635i	−0.0339104	+	0.0195782i	−0.516859	−	0.856070i	$-0.672899\pi$
$127$	−0.382151	+	0.220635i	−0.0339104	+	0.0195782i	0.482949	+	0.875649i	$0.339566\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	8.93868	+	15.4822i	0.787007	+	1.36314i
$130$	−1.59913	−	2.92767i	−0.140253	−	0.256774i
$131$	−3.56077	+	6.16743i	−0.311106	+	0.538851i	−0.978602	−	0.205762i	$-0.934033\pi$
$131$	−3.56077	+	6.16743i	−0.311106	+	0.538851i	0.667496	+	0.744613i	$0.267366\pi$
$132$		−	7.62446i		−	0.663624i
$133$	5.59478	+	1.68675i	0.485129	+	0.146260i
$134$	−13.0713			−1.12919
$135$	−2.39589	+	1.30866i	−0.206206	+	0.112632i
$136$	3.29230	−	5.70242i	0.282312	−	0.488979i
$137$	−2.62383	+	1.51487i	−0.224169	+	0.129424i	−0.607879	−	0.794029i	$-0.707980\pi$
$137$	−2.62383	+	1.51487i	−0.224169	+	0.129424i	0.383710	+	0.923454i	$0.374646\pi$
$138$	4.36068	+	2.51764i	0.371205	+	0.214316i
$139$	−6.69534	−	11.5967i	−0.567891	−	0.983617i	−0.996774	−	0.0802567i	$-0.974426\pi$
$139$	−6.69534	−	11.5967i	−0.567891	−	0.983617i	0.428883	−	0.903360i	$-0.358907\pi$
$140$	−2.55985	−	1.55985i	−0.216347	−	0.131831i
$141$	−2.18102			−0.183675
$142$	6.22613	−	3.59466i	0.522485	−	0.301657i
$143$	4.20868	−	2.42988i	0.351948	−	0.203197i
$144$	−2.47838			−0.206532
$145$	−6.17945	+	10.1410i	−0.513175	+	0.842166i
$146$	7.62615	+	13.2089i	0.631144	+	1.09317i
$147$	−10.5462	−	6.08883i	−0.869833	−	0.502198i
$148$	−4.56480	+	2.63549i	−0.375225	+	0.216636i
$149$	10.9212	−	18.9161i	0.894700	−	1.54967i	0.0605252	−	0.998167i	$-0.480722\pi$
$149$	10.9212	−	18.9161i	0.894700	−	1.54967i	0.834175	−	0.551500i	$-0.185944\pi$
$150$	−11.6899	−	0.553788i	−0.954473	−	0.0452166i
$151$	18.3441			1.49282			0.746410	−	0.665486i	$-0.231776\pi$
$151$	18.3441			1.49282			0.746410	+	0.665486i	$0.231776\pi$
$152$	−4.17336	−	1.25821i	−0.338504	−	0.102054i
$153$			16.3191i			1.31932i
$154$	2.18349	−	3.78191i	0.175950	−	0.304755i
$155$	−2.96444	−	5.42727i	−0.238109	−	0.435929i
$156$	−1.74594	−	3.02405i	−0.139787	−	0.242118i
$157$	−6.44462	−	3.72080i	−0.514337	−	0.296952i	0.220278	−	0.975437i	$-0.429304\pi$
$157$	−6.44462	−	3.72080i	−0.514337	−	0.296952i	−0.734614	+	0.678485i	$0.762637\pi$
$158$	13.4307	−	7.75423i	1.06849	−	0.616893i
$159$	−21.2759			−1.68729
$160$	1.90949	+	1.16355i	0.150958	+	0.0919868i
$161$	1.44200	+	2.49761i	0.113645	+	0.196839i
$162$	−8.91380	+	5.14638i	−0.700334	+	0.404338i
$163$			15.5400i			1.21719i	0.793481	+	0.608595i	$0.208267\pi$
$163$			15.5400i			1.21719i	−0.793481	+	0.608595i	$0.791733\pi$
$164$	−5.58459			−0.436083
$165$	0.403491	−	17.0440i	0.0314117	−	1.32688i
$166$	0.156805	−	0.271595i	0.0121705	−	0.0210799i
$167$	−19.1074	+	11.0317i	−1.47857	+	0.853655i	−0.999706	−	0.0242320i	$-0.992286\pi$
$167$	−19.1074	+	11.0317i	−1.47857	+	0.853655i	−0.478868	+	0.877887i	$0.658953\pi$
$168$	−2.71740	−	1.56889i	−0.209652	−	0.121043i
$169$	−5.38715	+	9.33082i	−0.414396	+	0.717756i
$170$	7.66151	−	12.5732i	0.587611	−	0.964321i
$171$	10.5166	−	2.47104i	0.804226	−	0.188965i
$172$		−	7.63796i		−	0.582389i
$173$	−0.330637	−	0.190893i	−0.0251379	−	0.0145134i	0.487378	−	0.873191i	$-0.337953\pi$
$173$	−0.330637	−	0.190893i	−0.0251379	−	0.0145134i	−0.512516	+	0.858678i	$0.671287\pi$
$174$	−6.21528	+	10.7652i	−0.471179	+	0.816106i
$175$	−5.63985	−	3.62242i	−0.426332	−	0.273830i
$176$	−1.62875	+	2.82107i	−0.122771	+	0.212646i
$177$	0.339586	−	0.196060i	0.0255248	−	0.0147368i
$178$			9.81378i			0.735574i
$179$	−12.1814			−0.910477			−0.455239	−	0.890369i	$-0.650446\pi$
$179$	−12.1814			−0.910477			−0.455239	+	0.890369i	$0.650446\pi$
$180$	−5.54028	−	0.131157i	−0.412948	−	0.00977589i
$181$	0.996021	+	1.72516i	0.0740337	+	0.128230i	0.900666	−	0.434513i	$-0.143079\pi$
$181$	0.996021	+	1.72516i	0.0740337	+	0.128230i	−0.826632	+	0.562743i	$0.809746\pi$
$182$		−	2.00000i		−	0.148250i
$183$			27.3603i			2.02253i
$184$	−1.07564	−	1.86306i	−0.0792973	−	0.137347i
$185$	−10.3438	+	5.64991i	−0.760493	+	0.415390i
$186$	−3.23659	−	5.60594i	−0.237318	−	0.411048i
$187$	18.5756	+	10.7246i	1.35838	+	0.784262i
$188$	0.806983	+	0.465912i	0.0588553	+	0.0339801i
$189$	−1.63672			−0.119054
$190$	−9.26271	−	3.03351i	−0.671988	−	0.220074i
$191$	−10.6217			−0.768560			−0.384280	−	0.923217i	$-0.625550\pi$
$191$	−10.6217			−0.768560			−0.384280	+	0.923217i	$0.625550\pi$
$192$	2.02701	+	1.17030i	0.146287	+	0.0844589i
$193$	13.2349	+	7.64118i	0.952670	+	0.550024i	0.893909	−	0.448248i	$-0.147952\pi$
$193$	13.2349	+	7.64118i	0.952670	+	0.550024i	0.0587608	+	0.998272i	$0.481285\pi$
$194$	6.01504	+	10.4184i	0.431855	+	0.747994i
$195$	−3.74291	−	6.85249i	−0.268035	−	0.490717i
$196$	2.60140	+	4.50576i	0.185814	+	0.321840i
$197$		−	4.10865i		−	0.292729i	−0.989231	−	0.146365i	$-0.953243\pi$
$197$		−	4.10865i		−	0.292729i	0.989231	−	0.146365i	$-0.0467573\pi$
$198$		−	8.07331i		−	0.573745i
$199$	−5.20281	−	9.01152i	−0.368817	−	0.638810i	0.620564	−	0.784156i	$-0.286904\pi$
$199$	−5.20281	−	9.01152i	−0.368817	−	0.638810i	−0.989381	+	0.145346i	$0.953570\pi$
$200$	4.20698	+	2.70210i	0.297478	+	0.191067i
$201$	−30.5945			−2.15797
$202$		−	12.5002i		−	0.879509i
$203$	−6.16584	+	3.55985i	−0.432757	+	0.249853i
$204$	7.70593	−	13.3471i	0.539523	−	0.934481i
$205$	−12.4840	−	0.295540i	−0.871923	−	0.0206414i
$206$	4.39370	−	7.61011i	0.306124	−	0.530222i
$207$	4.61739	+	2.66585i	0.320931	+	0.185289i
$208$			1.49188i			0.103443i
$209$	4.09860	−	13.5947i	0.283506	−	0.940363i
$210$	−5.99157	−	3.65098i	−0.413458	−	0.251941i
$211$	6.98513	−	12.0986i	0.480876	−	0.832902i	−0.518883	−	0.854845i	$-0.673652\pi$
$211$	6.98513	−	12.0986i	0.480876	−	0.832902i	0.999759	+	0.0219433i	$0.00698534\pi$
$212$	7.87214	+	4.54498i	0.540661	+	0.312151i
$213$	14.5728	−	8.41364i	0.998515	−	0.576493i
$214$	−5.00000	+	8.66025i	−0.341793	+	0.592003i
$215$	0.404205	−	17.0742i	0.0275665	−	1.16445i
$216$	1.22089			0.0830713
$217$		−	3.70757i		−	0.251686i
$218$	−14.1562	+	8.17306i	−0.958776	+	0.553550i
$219$	17.8497	+	30.9166i	1.20617	+	2.08915i
$220$	−3.79026	+	6.22014i	−0.255539	+	0.419362i
$221$	9.82339			0.660793
$222$	−10.6844	+	6.16862i	−0.717087	+	0.414010i
$223$	4.03516	+	2.32970i	0.270215	+	0.156008i	0.628985	−	0.777417i	$-0.283471\pi$
$223$	4.03516	+	2.32970i	0.270215	+	0.156008i	−0.358771	+	0.933426i	$0.616804\pi$
$224$	0.670297	+	1.16099i	0.0447861	+	0.0775718i
$225$	−12.3780	−	0.586389i	−0.825202	−	0.0390926i
$226$	−3.18257	+	5.51237i	−0.211701	+	0.366677i
$227$		−	4.14740i		−	0.275273i	−0.990483	−	0.137636i	$-0.956049\pi$
$227$		−	4.14740i		−	0.275273i	0.990483	−	0.137636i	$-0.0439505\pi$
$228$	−9.76814	−	2.94496i	−0.646911	−	0.195034i
$229$	20.8071			1.37497			0.687487	−	0.726196i	$-0.258714\pi$
$229$	20.8071			1.37497			0.687487	+	0.726196i	$0.258714\pi$
$230$	−2.30594	−	4.22169i	−0.152049	−	0.278370i
$231$	5.11066	−	8.85192i	0.336257	−	0.582414i
$232$	4.59933	−	2.65543i	0.301961	−	0.174337i
$233$	0.877186	+	0.506444i	0.0574664	+	0.0331782i	0.528458	−	0.848960i	$-0.322770\pi$
$233$	0.877186	+	0.506444i	0.0574664	+	0.0331782i	−0.470992	+	0.882138i	$0.656104\pi$
$234$	−1.84872	−	3.20208i	−0.120855	−	0.209326i
$235$	1.77931	+	1.08422i	0.116069	+	0.0707270i
$236$	−0.167530			−0.0109053
$237$	31.4359	−	18.1495i	2.04198	−	1.17894i
$238$	7.64464	−	4.41364i	0.495528	−	0.286093i
$239$	22.7248			1.46994			0.734971	−	0.678098i	$-0.237196\pi$
$239$	22.7248			1.46994			0.734971	+	0.678098i	$0.237196\pi$
$240$	4.46934	+	2.72340i	0.288495	+	0.175795i
$241$	7.36702	+	12.7600i	0.474551	+	0.821947i	0.999575	−	0.0291404i	$-0.00927699\pi$
$241$	7.36702	+	12.7600i	0.474551	+	0.821947i	−0.525024	+	0.851087i	$0.675944\pi$
$242$	0.336674	+	0.194379i	0.0216422	+	0.0124952i
$243$	−17.6916	+	10.2143i	−1.13492	+	0.655245i
$244$	5.84474	−	10.1234i	0.374171	−	0.648083i
$245$	5.57684	+	10.2100i	0.356291	+	0.652295i
$246$	−13.0713			−0.833394
$247$	−1.48746	−	6.33053i	−0.0946446	−	0.402802i
$248$			2.76561i			0.175617i
$249$	0.367018	−	0.635694i	0.0232588	−	0.0402854i
$250$	9.26145	+	6.26303i	0.585746	+	0.396109i
$251$	−9.81668	−	17.0030i	−0.619623	−	1.07322i	−0.989554	−	0.144160i	$-0.953952\pi$
$251$	−9.81668	−	17.0030i	−0.619623	−	1.07322i	0.369931	−	0.929059i	$-0.379381\pi$
$252$	−2.87738	−	1.66125i	−0.181258	−	0.104649i
$253$	6.06891	−	3.50389i	0.381549	−	0.220288i
$254$	0.441270			0.0276877
$255$	17.9325	−	29.4288i	1.12298	−	1.84290i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−2.23565	+	1.29075i	−0.139456	+	0.0805148i	−0.568105	−	0.822956i	$-0.692323\pi$
$257$	−2.23565	+	1.29075i	−0.139456	+	0.0805148i	0.428649	+	0.903471i	$0.358990\pi$
$258$		−	17.8774i		−	1.11300i
$259$	−7.06625			−0.439075
$260$	−0.0789508	+	3.33500i	−0.00489632	+	0.206828i
$261$	−6.58117	+	11.3989i	−0.407364	+	0.705575i
$262$	6.16743	−	3.56077i	0.381025	−	0.219985i
$263$	6.80906	+	3.93122i	0.419865	+	0.242409i	0.695020	−	0.718991i	$-0.255396\pi$
$263$	6.80906	+	3.93122i	0.419865	+	0.242409i	−0.275155	+	0.961400i	$0.588729\pi$
$264$	−3.81223	+	6.60298i	−0.234627	+	0.406385i
$265$	17.3572	+	10.5766i	1.06624	+	0.649718i
$266$	−4.00185	−	4.25816i	−0.245369	−	0.261084i
$267$			22.9701i			1.40575i
$268$	11.3201	+	6.53563i	0.691482	+	0.399227i
$269$	1.04119	−	1.80340i	0.0634826	−	0.109955i	−0.832537	−	0.553969i	$-0.813113\pi$
$269$	1.04119	−	1.80340i	0.0634826	−	0.109955i	0.896020	+	0.444014i	$0.146446\pi$
$270$	2.72924	+	0.0646103i	0.166096	+	0.00393206i
$271$	−5.38624	+	9.32923i	−0.327190	+	0.566711i	−0.981953	−	0.189124i	$-0.939435\pi$
$271$	−5.38624	+	9.32923i	−0.327190	+	0.566711i	0.654763	+	0.755834i	$0.272769\pi$
$272$	−5.70242	+	3.29230i	−0.345760	+	0.199625i
$273$		−	4.68119i		−	0.283318i
$274$	3.02974			0.183033
$275$	−8.80207	+	13.7042i	−0.530785	+	0.826393i
$276$	−2.51764	−	4.36068i	−0.151544	−	0.262482i
$277$		−	8.52030i		−	0.511935i	−0.966685	−	0.255967i	$-0.917606\pi$
$277$		−	8.52030i		−	0.511935i	0.966685	−	0.255967i	$-0.0823940\pi$
$278$			13.3907i			0.803120i
$279$	−3.42713	−	5.93596i	−0.205177	−	0.355377i
$280$	1.43697	+	2.63080i	0.0858754	+	0.157220i
$281$	−3.29766	−	5.71172i	−0.196722	−	0.340733i	0.750742	−	0.660596i	$-0.229696\pi$
$281$	−3.29766	−	5.71172i	−0.196722	−	0.340733i	−0.947464	+	0.319863i	$0.896363\pi$
$282$	1.88882	+	1.09051i	0.112478	+	0.0649390i
$283$	−5.82802	−	3.36481i	−0.346440	−	0.200017i	0.316676	−	0.948534i	$-0.397433\pi$
$283$	−5.82802	−	3.36481i	−0.346440	−	0.200017i	−0.663116	+	0.748516i	$0.730766\pi$
$284$	−7.18931			−0.426607
$285$	−21.6803	−	7.10021i	−1.28423	−	0.420580i
$286$	−4.85977			−0.287364
$287$	−6.48365	−	3.74334i	−0.382718	−	0.220962i
$288$	2.14634	+	1.23919i	0.126474	+	0.0730201i
$289$	13.1784	+	22.8257i	0.775202	+	1.34269i
$290$	10.4221	−	5.69265i	0.612005	−	0.334284i
$291$	14.0788	+	24.3851i	0.825312	+	1.42948i
$292$		−	15.2523i		−	0.892573i
$293$			1.06829i			0.0624103i	0.999513	+	0.0312051i	$0.00993451\pi$
$293$			1.06829i			0.0624103i	−0.999513	+	0.0312051i	$0.990065\pi$
$294$	6.08883	+	10.5462i	0.355108	+	0.615065i
$295$	−0.374504	−	0.00886578i	−0.0218045	−	0.000516186i
$296$	5.27098			0.306370
$297$			3.97705i			0.230772i
$298$	−18.9161	+	10.9212i	−1.09578	+	0.632649i
$299$	1.60472	−	2.77946i	0.0928034	−	0.160740i
$300$	9.84682	+	6.32453i	0.568507	+	0.365147i
$301$	5.11970	−	8.86758i	0.295095	−	0.511119i
$302$	−15.8864	−	9.17204i	−0.914162	−	0.527792i
$303$		−	29.2578i		−	1.68082i
$304$	2.98513	+	3.17632i	0.171209	+	0.182174i
$305$	13.6013	−	22.3209i	0.778809	−	1.27809i
$306$	8.15957	−	14.1328i	0.466452	−	0.807918i
$307$	2.90746	+	1.67862i	0.165937	+	0.0958041i	0.580669	−	0.814140i	$-0.302791\pi$
$307$	2.90746	+	1.67862i	0.165937	+	0.0958041i	−0.414731	+	0.909944i	$0.636124\pi$
$308$	−3.78191	+	2.18349i	−0.215494	+	0.124416i
$309$	10.2839	−	17.8122i	0.585029	−	1.01330i
$310$	−0.146358	+	6.18237i	−0.00831257	+	0.351135i
$311$	−7.70225			−0.436755			−0.218377	−	0.975864i	$-0.570076\pi$
$311$	−7.70225			−0.436755			−0.218377	+	0.975864i	$0.570076\pi$
$312$			3.49188i			0.197689i
$313$	−4.98024	+	2.87534i	−0.281500	+	0.162524i	−0.634102	−	0.773249i	$-0.718630\pi$
$313$	−4.98024	+	2.87534i	−0.281500	+	0.162524i	0.352602	+	0.935773i	$0.385297\pi$
$314$	3.72080	+	6.44462i	0.209977	+	0.363691i
$315$	−6.34429	−	3.86591i	−0.357460	−	0.217819i
$316$	−15.5085			−0.872419
$317$	−15.0942	+	8.71462i	−0.847772	+	0.489462i	−0.859899	−	0.510465i	$-0.829473\pi$
$317$	−15.0942	+	8.71462i	−0.847772	+	0.489462i	0.0121262	+	0.999926i	$0.496140\pi$
$318$	18.4255	+	10.6380i	1.03325	+	0.596547i
$319$	8.65003	+	14.9823i	0.484308	+	0.838847i
$320$	−1.07189	−	1.96241i	−0.0599205	−	0.109702i
$321$	−11.7030	+	20.2701i	−0.653196	+	1.13137i
$322$		−	2.88400i		−	0.160719i
$323$	20.9148	−	19.6559i	1.16373	−	1.09368i
$324$	10.2928			0.571820
$325$	−0.352980	+	7.45102i	−0.0195798	+	0.413308i
$326$	7.77002	−	13.4581i	0.430342	−	0.745373i
$327$	−33.1338	+	19.1298i	−1.83231	+	1.05788i
$328$	4.83640	+	2.79230i	0.267045	+	0.154179i
$329$	0.624599	+	1.08184i	0.0344353	+	0.0596436i
$330$	−8.87146	+	14.5588i	−0.488358	+	0.801437i
$331$	−12.1108			−0.665670			−0.332835	−	0.942985i	$-0.608005\pi$
$331$	−12.1108			−0.665670			−0.332835	+	0.942985i	$0.608005\pi$
$332$	−0.271595	+	0.156805i	−0.0149057	+	0.00860581i
$333$	−11.3133	+	6.53176i	−0.619967	+	0.357938i
$334$	22.0633			1.20725
$335$	24.9594	+	15.2091i	1.36368	+	0.830961i
$336$	1.56889	+	2.71740i	0.0855902	+	0.148247i
$337$	−27.8995	−	16.1078i	−1.51978	−	0.877445i	−0.999728	−	0.0233106i	$-0.992579\pi$
$337$	−27.8995	−	16.1078i	−1.51978	−	0.877445i	−0.520052	−	0.854135i	$-0.674087\pi$
$338$	9.33082	−	5.38715i	0.507530	−	0.293023i
$339$	−7.44910	+	12.9022i	−0.404580	+	0.700753i
$340$	−12.9217	+	7.05796i	−0.700776	+	0.382772i
$341$	−9.00896			−0.487863
$342$	−10.3432	−	3.11832i	−0.559295	−	0.168620i
$343$			16.3590i			0.883304i
$344$	−3.81898	+	6.61466i	−0.205905	+	0.356639i
$345$	−5.39726	−	9.88127i	−0.290579	−	0.531990i
$346$	0.190893	+	0.330637i	0.0102625	+	0.0177752i
$347$	26.4222	+	15.2549i	1.41842	+	0.818924i	0.996160	−	0.0875523i	$-0.0279045\pi$
$347$	26.4222	+	15.2549i	1.41842	+	0.818924i	0.422257	+	0.906476i	$0.361238\pi$
$348$	10.7652	−	6.21528i	0.577074	−	0.333174i
$349$	−26.3315			−1.40949			−0.704747	−	0.709459i	$-0.748939\pi$
$349$	−26.3315			−1.40949			−0.704747	+	0.709459i	$0.748939\pi$
$350$	3.07304	+	5.95704i	0.164261	+	0.318417i
$351$	0.910710	+	1.57740i	0.0486101	+	0.0841952i
$352$	2.82107	−	1.62875i	0.150363	−	0.0868124i
$353$		−	0.368812i		−	0.0196299i	−0.999952	−	0.00981493i	$-0.996876\pi$
$353$		−	0.368812i		−	0.0196299i	0.999952	−	0.00981493i	$-0.00312424\pi$
$354$	−0.392120			−0.0208409
$355$	−16.0713	−	0.380462i	−0.852976	−	0.0201928i
$356$	4.90689	−	8.49898i	0.260065	−	0.450445i
$357$	17.8930	−	10.3305i	0.946998	−	0.546750i
$358$	10.5494	+	6.09068i	0.557551	+	0.321902i
$359$	14.7532	−	25.5533i	0.778645	−	1.34865i	−0.154079	−	0.988059i	$-0.549241\pi$
$359$	14.7532	−	25.5533i	0.778645	−	1.34865i	0.932723	−	0.360593i	$-0.117426\pi$
$360$	4.73245	+	2.88373i	0.249422	+	0.151986i
$361$	−15.8338	−	10.5019i	−0.833359	−	0.552732i
$362$		−	1.99204i		−	0.104699i
$363$	0.788018	+	0.454962i	0.0413602	+	0.0238793i
$364$	−1.00000	+	1.73205i	−0.0524142	+	0.0907841i
$365$	0.807159	−	34.0956i	0.0422487	−	1.78465i
$366$	13.6802	−	23.6947i	0.715074	−	1.23854i
$367$	15.8805	−	9.16862i	0.828956	−	0.478598i	−0.0245392	−	0.999699i	$-0.507812\pi$
$367$	15.8805	−	9.16862i	0.828956	−	0.478598i	0.853495	+	0.521101i	$0.174479\pi$
$368$			2.15128i			0.112143i
$369$	−13.8408			−0.720521
$370$	11.7830	+	0.278943i	0.612568	+	0.0145016i
$371$	6.09298	+	10.5533i	0.316332	+	0.547902i
$372$			6.47318i			0.335619i
$373$		−	20.1928i		−	1.04554i	−0.852473	−	0.522772i	$-0.824898\pi$
$373$		−	20.1928i		−	1.04554i	0.852473	−	0.522772i	$-0.175102\pi$
$374$	−10.7246	−	18.5756i	−0.554557	−	0.960521i
$375$	21.6773	+	14.6592i	1.11941	+	0.756998i
$376$	−0.465912	−	0.806983i	−0.0240276	−	0.0416170i
$377$	6.86163	+	3.96157i	0.353392	+	0.204031i
$378$	1.41744	+	0.818361i	0.0729054	+	0.0420920i
$379$	−15.2700			−0.784367			−0.392183	−	0.919887i	$-0.628280\pi$
$379$	−15.2700			−0.784367			−0.392183	+	0.919887i	$0.628280\pi$
$380$	6.50499	+	7.25845i	0.333699	+	0.372351i
$381$	1.03283			0.0529137
$382$	9.19867	+	5.31085i	0.470645	+	0.271727i
$383$	−23.2139	−	13.4026i	−1.18617	−	0.684838i	−0.228740	−	0.973488i	$-0.573461\pi$
$383$	−23.2139	−	13.4026i	−1.18617	−	0.684838i	−0.957435	+	0.288649i	$0.906794\pi$
$384$	−1.17030	−	2.02701i	−0.0597215	−	0.103441i
$385$	−8.56979	+	4.68092i	−0.436757	+	0.238562i
$386$	−7.64118	−	13.2349i	−0.388926	−	0.673640i
$387$		−	18.9298i		−	0.962255i
$388$		−	12.0301i		−	0.610735i
$389$	−12.1644	−	21.0694i	−0.616761	−	1.06826i	−0.990073	−	0.140556i	$-0.955111\pi$
$389$	−12.1644	−	21.0694i	−0.616761	−	1.06826i	0.373311	−	0.927706i	$-0.378222\pi$
$390$	−0.184792	+	7.80588i	−0.00935730	+	0.395266i
$391$	14.1653			0.716370
$392$		−	5.20281i		−	0.262781i
$393$	14.4355	−	8.33432i	0.728173	−	0.420411i
$394$	−2.05433	+	3.55820i	−0.103495	+	0.179259i
$395$	−34.6683	−	0.820716i	−1.74435	−	0.0412947i
$396$	−4.03665	+	6.99169i	−0.202850	+	0.351346i
$397$	16.5136	+	9.53415i	0.828795	+	0.478505i	0.853440	−	0.521191i	$-0.174512\pi$
$397$	16.5136	+	9.53415i	0.828795	+	0.478505i	−0.0246449	+	0.999696i	$0.507845\pi$
$398$			10.4056i			0.521586i
$399$	−9.36670	−	9.96662i	−0.468922	−	0.498955i
$400$	−2.29230	−	4.44358i	−0.114615	−	0.222179i
$401$	4.80098	−	8.31554i	0.239750	−	0.415258i	−0.720893	−	0.693047i	$-0.756268\pi$
$401$	4.80098	−	8.31554i	0.239750	−	0.415258i	0.960642	+	0.277788i	$0.0896013\pi$
$402$	26.4956	+	15.2973i	1.32148	+	0.762958i
$403$	−3.57318	+	2.06298i	−0.177993	+	0.102764i
$404$	−6.25008	+	10.8255i	−0.310953	+	0.538587i
$405$	23.0089	+	0.544699i	1.14332	+	0.0270663i
$406$	7.11970			0.353345
$407$			17.1702i			0.851094i
$408$	−13.3471	+	7.70593i	−0.660778	+	0.381500i
$409$	−11.3689	−	19.6916i	−0.562158	−	0.973685i	−0.997308	−	0.0733276i	$-0.976638\pi$
$409$	−11.3689	−	19.6916i	−0.562158	−	0.973685i	0.435150	−	0.900358i	$-0.356695\pi$
$410$	10.6637	+	6.49796i	0.526644	+	0.320911i
$411$	7.09140			0.349793
$412$	−7.61011	+	4.39370i	−0.374923	+	0.216462i
$413$	−0.194501	−	0.112295i	−0.00957075	−	0.00552567i
$414$	−2.66585	−	4.61739i	−0.131019	−	0.226932i
$415$	−0.615433	+	0.336156i	−0.0302104	+	0.0165013i
$416$	0.745938	−	1.29200i	0.0365726	−	0.0633456i
$417$			31.3422i			1.53483i
$418$	−10.3468	+	9.72403i	−0.506080	+	0.475618i
$419$	−36.5783			−1.78697			−0.893483	−	0.449097i	$-0.851746\pi$
$419$	−36.5783			−1.78697			−0.893483	+	0.449097i	$0.851746\pi$
$420$	3.36337	+	6.15763i	0.164115	+	0.300461i
$421$	−5.51620	+	9.55434i	−0.268843	+	0.465650i	−0.968563	−	0.248767i	$-0.919975\pi$
$421$	−5.51620	+	9.55434i	−0.268843	+	0.465650i	0.699720	+	0.714417i	$0.253308\pi$
$422$	−12.0986	+	6.98513i	−0.588951	+	0.340031i
$423$	2.00001	+	1.15471i	0.0972440	+	0.0561438i
$424$	−4.54498	−	7.87214i	−0.220724	−	0.382305i
$425$	−29.2591	+	15.0938i	−1.41928	+	0.732159i
$426$	−16.8273			−0.815284
$427$	13.5714	−	7.83543i	0.656764	−	0.379183i
$428$	8.66025	−	5.00000i	0.418609	−	0.241684i
$429$	−11.3747			−0.549178
$430$	−8.88715	+	14.5846i	−0.428577	+	0.703332i
$431$	10.4489	+	18.0980i	0.503306	+	0.871752i	0.999993	+	0.00382204i	$0.00121659\pi$
$431$	10.4489	+	18.0980i	0.503306	+	0.871752i	−0.496686	+	0.867930i	$0.665450\pi$
$432$	−1.05732	−	0.610447i	−0.0508705	−	0.0293701i
$433$	−12.3405	+	7.12477i	−0.593045	+	0.342394i	−0.766300	−	0.642482i	$-0.777905\pi$
$433$	−12.3405	+	7.12477i	−0.593045	+	0.342394i	0.173256	+	0.984877i	$0.444571\pi$
$434$	−1.85378	+	3.21085i	−0.0889845	+	0.154126i
$435$	24.3938	−	13.3242i	1.16960	−	0.638846i
$436$	16.3461			0.782838
$437$	−2.14491	−	9.12861i	−0.102605	−	0.436681i
$438$		−	35.6994i		−	1.70578i
$439$	−5.25331	+	9.09900i	−0.250727	+	0.434272i	−0.963726	−	0.266893i	$-0.914003\pi$
$439$	−5.25331	+	9.09900i	−0.250727	+	0.434272i	0.712999	+	0.701165i	$0.247336\pi$
$440$	6.39253	−	3.49167i	0.304752	−	0.166459i
$441$	6.44727	+	11.1670i	0.307013	+	0.531762i
$442$	−8.50731	−	4.91170i	−0.404651	−	0.233626i
$443$	−33.3040	+	19.2281i	−1.58232	+	0.913553i	−0.587801	+	0.809006i	$0.700006\pi$
$443$	−33.3040	+	19.2281i	−1.58232	+	0.913553i	−0.994520	+	0.104548i	$0.966660\pi$
$444$	12.3372			0.585499
$445$	11.4188	−	18.7393i	0.541305	−	0.888328i
$446$	−2.32970	−	4.03516i	−0.110315	−	0.191071i
$447$	−44.2749	+	25.5621i	−2.09413	+	1.20905i
$448$		−	1.34059i		−	0.0633371i
$449$	26.9402			1.27139			0.635694	−	0.771941i	$-0.280714\pi$
$449$	26.9402			1.27139			0.635694	+	0.771941i	$0.280714\pi$
$450$	10.4265	+	6.69685i	0.491510	+	0.315692i
$451$	−9.09588	+	15.7545i	−0.428308	+	0.741852i
$452$	5.51237	−	3.18257i	0.259280	−	0.149695i
$453$	−37.1837	−	21.4680i	−1.74704	−	1.00866i
$454$	−2.07370	+	3.59176i	−0.0973236	+	0.168569i
$455$	−2.32710	+	3.81898i	−0.109096	+	0.179036i
$456$	6.98698	+	7.43448i	0.327195	+	0.348151i
$457$		−	14.6472i		−	0.685166i	−0.939488	−	0.342583i	$-0.888698\pi$
$457$		−	14.6472i		−	0.685166i	0.939488	−	0.342583i	$-0.111302\pi$
$458$	−18.0195	−	10.4036i	−0.841997	−	0.486127i
$459$	−4.01954	+	6.96205i	−0.187616	+	0.324961i
$460$	−0.113847	+	4.80906i	−0.00530814	+	0.224224i
$461$	0.104103	−	0.180311i	0.00484855	−	0.00839794i	−0.863591	−	0.504193i	$-0.831790\pi$
$461$	0.104103	−	0.180311i	0.00484855	−	0.00839794i	0.868440	+	0.495795i	$0.165123\pi$
$462$	−8.85192	+	5.11066i	−0.411829	+	0.237769i
$463$		−	24.6580i		−	1.14596i	−0.819571	−	0.572978i	$-0.805788\pi$
$463$		−	24.6580i		−	1.14596i	0.819571	−	0.572978i	$-0.194212\pi$
$464$	−5.31085			−0.246550
$465$	−0.342564	+	14.4704i	−0.0158860	+	0.671050i
$466$	−0.506444	−	0.877186i	−0.0234605	−	0.0406349i
$467$			22.4281i			1.03785i	0.854820	+	0.518925i	$0.173668\pi$
$467$			22.4281i			1.03785i	−0.854820	+	0.518925i	$0.826332\pi$
$468$			3.69744i			0.170914i
$469$	8.76164	+	15.1756i	0.404575	+	0.700744i
$470$	−0.998813	−	1.82862i	−0.0460718	−	0.0843480i
$471$	8.70889	+	15.0842i	0.401284	+	0.695045i
$472$	0.145085	+	0.0837650i	0.00667809	+	0.00385560i
$473$	−21.5472	−	12.4403i	−0.990741	−	0.572005i
$474$	−36.2990			−1.66727
$475$	14.1574	+	16.5701i	0.649586	+	0.760288i
$476$	−8.82727			−0.404597
$477$	19.5102	+	11.2642i	0.893309	+	0.515752i
$478$	−19.6802	−	11.3624i	−0.900152	−	0.519703i
$479$	8.17582	+	14.1609i	0.373563	+	0.647030i	0.990111	−	0.140288i	$-0.0448027\pi$
$479$	8.17582	+	14.1609i	0.373563	+	0.647030i	−0.616548	+	0.787317i	$0.711469\pi$
$480$	−2.50886	−	4.59321i	−0.114513	−	0.209650i
$481$	3.93182	+	6.81012i	0.179276	+	0.310515i
$482$		−	14.7340i		−	0.671117i
$483$		−	6.75026i		−	0.307148i
$484$	−0.194379	−	0.336674i	−0.00883541	−	0.0153034i
$485$	0.636638	−	26.8925i	0.0289082	−	1.22113i
$486$	20.4285			0.926656
$487$		−	40.7859i		−	1.84819i	−0.382168	−	0.924093i	$-0.624823\pi$
$487$		−	40.7859i		−	1.84819i	0.382168	−	0.924093i	$-0.375177\pi$
$488$	−10.1234	+	5.84474i	−0.458264	+	0.264579i
$489$	18.1865	−	31.4999i	0.822420	−	1.42447i
$490$	0.275335	−	11.6306i	0.0124384	−	0.525416i
$491$	−11.1912	+	19.3838i	−0.505053	+	0.874778i	0.494930	+	0.868933i	$0.335194\pi$
$491$	−11.1912	+	19.3838i	−0.505053	+	0.874778i	−0.999983	+	0.00584462i	$0.998140\pi$
$492$	11.3201	+	6.53563i	0.510347	+	0.294649i
$493$			34.9698i			1.57496i
$494$	−1.87709	+	6.22613i	−0.0844543	+	0.280127i
$495$	−9.39371	+	15.4159i	−0.422216	+	0.692893i
$496$	1.38281	−	2.39509i	0.0620899	−	0.107543i
$497$	−8.34671	−	4.81898i	−0.374401	−	0.216161i
$498$	−0.635694	+	0.367018i	−0.0284861	+	0.0164465i
$499$	−4.07719	+	7.06189i	−0.182520	+	0.316134i	−0.942738	−	0.333534i	$-0.891759\pi$
$499$	−4.07719	+	7.06189i	−0.182520	+	0.316134i	0.760218	+	0.649668i	$0.225092\pi$
$500$	−4.88914	−	10.0547i	−0.218649	−	0.449658i
$501$	51.6413			2.30716
$502$			19.6334i			0.876280i
$503$	20.9078	−	12.0711i	0.932232	−	0.538224i	0.0447150	−	0.999000i	$-0.485762\pi$
$503$	20.9078	−	12.0711i	0.932232	−	0.538224i	0.887517	+	0.460776i	$0.152429\pi$
$504$	1.66125	+	2.87738i	0.0739981	+	0.128169i
$505$	−14.5446	+	23.8689i	−0.647226	+	1.06215i
$506$	−7.00778			−0.311534
$507$	21.8397	−	12.6091i	0.969934	−	0.559992i
$508$	−0.382151	−	0.220635i	−0.0169552	−	0.00978909i
$509$	−7.16576	−	12.4115i	−0.317617	−	0.550128i	0.662374	−	0.749174i	$-0.269549\pi$
$509$	−7.16576	−	12.4115i	−0.317617	−	0.550128i	−0.979990	+	0.199046i	$0.936216\pi$
$510$	−30.2444	+	16.5198i	−1.33924	+	0.731510i
$511$	10.2236	−	17.7077i	0.452264	−	0.783344i
$512$			1.00000i			0.0441942i
$513$	5.09522	+	1.53614i	0.224960	+	0.0678222i
$514$	2.58150			0.113865
$515$	−17.2445	+	9.41913i	−0.759882	+	0.415056i
$516$	−8.93868	+	15.4822i	−0.393503	+	0.681568i
$517$	2.62874	−	1.51770i	0.115612	−	0.0667485i
$518$	6.11955	+	3.53313i	0.268878	+	0.155237i
$519$	0.446804	+	0.773888i	0.0196125	+	0.0339699i
$520$	1.73587	−	2.84872i	0.0761231	−	0.124925i
$521$	3.10621			0.136086			0.0680428	−	0.997682i	$-0.478325\pi$
$521$	3.10621			0.136086			0.0680428	+	0.997682i	$0.478325\pi$
$522$	11.3989	−	6.58117i	0.498917	−	0.288050i
$523$	19.9398	−	11.5122i	0.871905	−	0.503394i	0.00392391	−	0.999992i	$-0.498751\pi$
$523$	19.9398	−	11.5122i	0.871905	−	0.503394i	0.867981	+	0.496598i	$0.165418\pi$
$524$	−7.12154			−0.311106
$525$	7.19274	+	13.9430i	0.313917	+	0.608523i
$526$	−3.93122	−	6.80906i	−0.171409	−	0.296889i
$527$	−15.7707	−	9.10522i	−0.686983	−	0.396630i
$528$	6.60298	−	3.81223i	0.287358	−	0.165906i
$529$	−9.18600	+	15.9106i	−0.399391	+	0.691766i
$530$	−9.74344	−	17.8382i	−0.423228	−	0.774843i
$531$	−0.415204			−0.0180183
$532$	1.33662	+	5.68860i	0.0579500	+	0.246632i
$533$			8.33152i			0.360878i
$534$	11.4850	−	19.8927i	0.497006	−	0.860840i
$535$	19.6241	−	10.7189i	0.848424	−	0.463419i
$536$	−6.53563	−	11.3201i	−0.282296	−	0.488952i
$537$	24.6918	+	14.2558i	1.06553	+	0.615184i
$538$	−1.80340	+	1.04119i	−0.0777500	+	0.0448890i
$539$	16.9481			0.730006
$540$	−2.33128	−	1.42057i	−0.100322	−	0.0611317i
$541$	10.2489	+	17.7516i	0.440633	+	0.763199i	0.997737	−	0.0672443i	$-0.0214207\pi$
$541$	10.2489	+	17.7516i	0.440633	+	0.763199i	−0.557104	+	0.830443i	$0.688087\pi$
$542$	9.32923	−	5.38624i	0.400725	−	0.231359i
$543$		−	4.66256i		−	0.200090i
$544$	6.58459			0.282312
$545$	36.5408	+	0.865046i	1.56524	+	0.0370545i
$546$	−2.34059	+	4.05403i	−0.100168	+	0.173496i
$547$	11.4797	−	6.62783i	0.490838	−	0.283385i	−0.234084	−	0.972216i	$-0.575209\pi$
$547$	11.4797	−	6.62783i	0.490838	−	0.283385i	0.724922	+	0.688831i	$0.241876\pi$
$548$	−2.62383	−	1.51487i	−0.112085	−	0.0647121i
$549$	14.4855	−	25.0896i	0.618226	−	1.07080i
$550$	14.4749	−	7.46713i	0.617212	−	0.318400i
$551$	22.5357	−	5.29512i	0.960055	−	0.225580i
$552$			5.03528i			0.214316i
$553$	−18.0052	−	10.3953i	−0.765657	−	0.442052i
$554$	−4.26015	+	7.37879i	−0.180996	+	0.313495i
$555$	27.5792	+	0.652893i	1.17067	+	0.0277138i
$556$	6.69534	−	11.5967i	0.283946	−	0.491808i
$557$	−20.9834	+	12.1148i	−0.889094	+	0.513319i	−0.873646	−	0.486562i	$-0.838251\pi$
$557$	−20.9834	+	12.1148i	−0.889094	+	0.513319i	−0.0154482	+	0.999881i	$0.504918\pi$
$558$			6.85425i			0.290164i
$559$	−11.3949			−0.481952
$560$	0.0709450	−	2.99682i	0.00299797	−	0.126639i
$561$	−25.1020	−	43.4779i	−1.05981	−	1.83564i
$562$			6.59533i			0.278207i
$563$		−	27.1643i		−	1.14484i	−0.819961	−	0.572420i	$-0.806005\pi$
$563$		−	27.1643i		−	1.14484i	0.819961	−	0.572420i	$-0.193995\pi$
$564$	−1.09051	−	1.88882i	−0.0459188	−	0.0795337i
$565$	12.4910	−	6.82273i	0.525500	−	0.287034i
$566$	3.36481	+	5.82802i	0.141434	+	0.244970i
$567$	11.9498	+	6.89921i	0.501844	+	0.289740i
$568$	6.22613	+	3.59466i	0.261243	+	0.150828i
$569$	43.8600			1.83871			0.919353	−	0.393433i	$-0.128713\pi$
$569$	43.8600			1.83871			0.919353	+	0.393433i	$0.128713\pi$
$570$	15.2255	+	16.9891i	0.637728	+	0.711595i
$571$	30.5834			1.27988			0.639938	−	0.768427i	$-0.278960\pi$
$571$	30.5834			1.27988			0.639938	+	0.768427i	$0.278960\pi$
$572$	4.20868	+	2.42988i	0.175974	+	0.101599i
$573$	21.5304	+	12.4306i	0.899443	+	0.519294i
$574$	3.74334	+	6.48365i	0.156244	+	0.270622i
$575$	−0.508996	+	10.7444i	−0.0212266	+	0.448071i
$576$	−1.23919	−	2.14634i	−0.0516330	−	0.0894310i
$577$		−	40.9572i		−	1.70507i	−0.522669	−	0.852536i	$-0.675064\pi$
$577$		−	40.9572i		−	1.70507i	0.522669	−	0.852536i	$-0.324936\pi$
$578$		−	26.3569i		−	1.09630i
$579$	−17.8849	−	30.9776i	−0.743272	−	1.28738i
$580$	−11.8721	−	0.281053i	−0.492962	−	0.0116701i
$581$	−0.420425			−0.0174422
$582$		−	28.1575i		−	1.16717i
$583$	25.6434	−	14.8052i	1.06204	−	0.613170i
$584$	−7.62615	+	13.2089i	−0.315572	+	0.546587i
$585$	−0.195670	+	8.26541i	−0.00808998	+	0.341733i
$586$	0.534146	−	0.925168i	0.0220654	−	0.0382183i
$587$	15.2935	+	8.82971i	0.631231	+	0.364441i	0.781229	−	0.624245i	$-0.214593\pi$
$587$	15.2935	+	8.82971i	0.631231	+	0.364441i	−0.149998	+	0.988686i	$0.547927\pi$
$588$		−	12.1777i		−	0.502198i
$589$	−3.47972	+	11.5419i	−0.143379	+	0.475576i
$590$	0.319897	+	0.194930i	0.0131699	+	0.00802514i
$591$	−4.80834	+	8.32830i	−0.197789	+	0.342580i
$592$	−4.56480	−	2.63549i	−0.187612	−	0.108318i
$593$	18.1171	−	10.4599i	0.743982	−	0.429538i	−0.0795335	−	0.996832i	$-0.525343\pi$
$593$	18.1171	−	10.4599i	0.743982	−	0.429538i	0.823515	+	0.567294i	$0.192010\pi$
$594$	1.98852	−	3.44422i	0.0815901	−	0.141318i
$595$	−19.7328	−	0.467144i	−0.808968	−	0.0191510i
$596$	21.8424			0.894700
$597$			24.3553i			0.996797i
$598$	−2.77946	+	1.60472i	−0.113661	+	0.0656219i
$599$	6.31990	+	10.9464i	0.258224	+	0.447257i	0.965766	−	0.259414i	$-0.0835294\pi$
$599$	6.31990	+	10.9464i	0.258224	+	0.447257i	−0.707542	+	0.706671i	$0.750196\pi$
$600$	−5.36534	−	10.4006i	−0.219039	−	0.424603i
$601$	−43.8933			−1.79045			−0.895223	−	0.445618i	$-0.852984\pi$
$601$	−43.8933			−1.79045			−0.895223	+	0.445618i	$0.852984\pi$
$602$	−8.86758	+	5.11970i	−0.361416	+	0.208663i
$603$	28.0554	+	16.1978i	1.14251	+	0.659626i
$604$	9.17204	+	15.8864i	0.373205	+	0.646410i
$605$	−0.416706	−	0.762902i	−0.0169415	−	0.0310164i
$606$	−14.6289	+	25.3380i	−0.594259	+	1.02929i
$607$		−	0.939196i		−	0.0381208i	−0.999818	−	0.0190604i	$-0.993933\pi$
$607$		−	0.939196i		−	0.0381208i	0.999818	−	0.0190604i	$-0.00606748\pi$
$608$	−0.997038	−	4.24334i	−0.0404352	−	0.172090i
$609$	16.6643			0.675273
$610$	−22.9395	+	12.5298i	−0.928795	+	0.507318i
$611$	0.695083	−	1.20392i	0.0281200	−	0.0487053i
$612$	−14.1328	+	8.15957i	−0.571284	+	0.329831i
$613$	−7.02861	−	4.05797i	−0.283883	−	0.163900i	0.351297	−	0.936264i	$-0.385741\pi$
$613$	−7.02861	−	4.05797i	−0.283883	−	0.163900i	−0.635180	+	0.772364i	$0.719074\pi$
$614$	−1.67862	−	2.90746i	−0.0677437	−	0.117336i
$615$	24.9594	+	15.2091i	1.00646	+	0.613290i
$616$	4.36697			0.175950
$617$	−8.03585	+	4.63950i	−0.323511	+	0.186779i	−0.652957	−	0.757395i	$-0.726472\pi$
$617$	−8.03585	+	4.63950i	−0.323511	+	0.186779i	0.329445	+	0.944175i	$0.393138\pi$
$618$	−17.8122	+	10.2839i	−0.716511	+	0.413678i
$619$	1.87972			0.0755521			0.0377761	−	0.999286i	$-0.487973\pi$
$619$	1.87972			0.0755521			0.0377761	+	0.999286i	$0.487973\pi$
$620$	3.21793	−	5.28091i	0.129235	−	0.212086i
$621$	1.31324	+	2.27460i	0.0526986	+	0.0912766i
$622$	6.67035	+	3.85113i	0.267457	+	0.154416i
$623$	11.3937	−	6.57815i	0.456478	−	0.263548i
$624$	1.74594	−	3.02405i	0.0698934	−	0.121059i
$625$	−10.3973	−	22.7354i	−0.415891	−	0.909414i
$626$	5.75069			0.229844
$627$	−24.2177	+	22.7600i	−0.967163	+	0.908947i
$628$		−	7.44160i		−	0.296952i
$629$	−17.3536	+	30.0574i	−0.691935	+	1.19847i
$630$	3.56136	+	6.52012i	0.141888	+	0.259768i
$631$	−7.83481	−	13.5703i	−0.311899	−	0.540225i	0.666875	−	0.745170i	$-0.267632\pi$
$631$	−7.83481	−	13.5703i	−0.311899	−	0.540225i	−0.978773	+	0.204945i	$0.934298\pi$
$632$	13.4307	+	7.75423i	0.534245	+	0.308447i
$633$	−28.3179	+	16.3494i	−1.12554	+	0.649829i
$634$	17.4292			0.692203
$635$	−0.842600	−	0.513440i	−0.0334375	−	0.0203752i
$636$	−10.6380	−	18.4255i	−0.421822	−	0.730618i
$637$	6.72204	−	3.88097i	0.266337	−	0.153770i
$638$		−	17.3001i		−	0.684916i
$639$	−17.8179			−0.704864
$640$	−0.0529205	+	2.23544i	−0.00209187	+	0.0883636i
$641$	−14.3585	+	24.8696i	−0.567125	+	0.982289i	0.429724	+	0.902960i	$0.358611\pi$
$641$	−14.3585	+	24.8696i	−0.567125	+	0.982289i	−0.996849	+	0.0793287i	$0.974722\pi$
$642$	20.2701	−	11.7030i	0.799999	−	0.461880i
$643$	−14.5782	−	8.41674i	−0.574909	−	0.331924i	0.184199	−	0.982889i	$-0.441031\pi$
$643$	−14.5782	−	8.41674i	−0.574909	−	0.331924i	−0.759108	+	0.650965i	$0.774364\pi$
$644$	−1.44200	+	2.49761i	−0.0568227	+	0.0984197i
$645$	−20.8012	+	34.1366i	−0.819047	+	1.34413i
$646$	−27.9407	+	6.56509i	−1.09931	+	0.258300i
$647$			8.10908i			0.318801i	0.987214	+	0.159400i	$0.0509561\pi$
$647$			8.10908i			0.318801i	−0.987214	+	0.159400i	$0.949044\pi$
$648$	−8.91380	−	5.14638i	−0.350167	−	0.202169i
$649$	−0.272864	+	0.472614i	−0.0107108	+	0.0185517i
$650$	4.03120	−	6.27628i	0.158117	−	0.246176i
$651$	−4.33896	+	7.51529i	−0.170057	+	0.294548i
$652$	−13.4581	+	7.77002i	−0.527059	+	0.304297i
$653$			33.6755i			1.31782i	0.752220	+	0.658912i	$0.228983\pi$
$653$			33.6755i			1.31782i	−0.752220	+	0.658912i	$0.771017\pi$
$654$	38.2597			1.49607
$655$	−15.9198	−	0.376876i	−0.622037	−	0.0147258i
$656$	−2.79230	−	4.83640i	−0.109021	−	0.188830i
$657$		−	37.8010i		−	1.47476i
$658$		−	1.24920i		−	0.0486988i
$659$	10.2712	+	17.7903i	0.400111	+	0.693012i	0.993739	−	0.111727i	$-0.0356383\pi$
$659$	10.2712	+	17.7903i	0.400111	+	0.693012i	−0.593628	+	0.804739i	$0.702305\pi$
$660$	14.9623	−	8.17259i	0.582408	−	0.318118i
$661$	2.11413	+	3.66179i	0.0822302	+	0.142427i	0.904208	−	0.427093i	$-0.140462\pi$
$661$	2.11413	+	3.66179i	0.0822302	+	0.142427i	−0.821977	+	0.569520i	$0.807129\pi$
$662$	10.4883	+	6.05540i	0.407638	+	0.235350i
$663$	−19.9122	−	11.4963i	−0.773324	−	0.446479i
$664$	0.313611			0.0121705
$665$	2.68690	+	12.7873i	0.104194	+	0.495869i
$666$	13.0635			0.506201
$667$	9.89446	+	5.71257i	0.383115	+	0.221192i
$668$	−19.1074	−	11.0317i	−0.739287	−	0.426828i
$669$	−5.45289	−	9.44468i	−0.210821	−	0.365152i
$670$	−14.0110	−	25.6512i	−0.541291	−	0.990992i
$671$	−19.0392	−	32.9768i	−0.735000	−	1.27306i
$672$		−	3.13779i		−	0.121043i
$673$			21.0671i			0.812076i	0.913856	+	0.406038i	$0.133090\pi$
$673$			21.0671i			0.812076i	−0.913856	+	0.406038i	$0.866910\pi$
$674$	16.1078	+	27.8995i	0.620448	+	1.07465i
$675$	−5.13627	−	3.29898i	−0.197695	−	0.126978i
$676$	−10.7743			−0.414396
$677$		−	5.16536i		−	0.198521i	−0.995061	−	0.0992604i	$-0.968352\pi$
$677$		−	5.16536i		−	0.198521i	0.995061	−	0.0992604i	$-0.0316477\pi$
$678$	12.9022	−	7.44910i	0.495507	−	0.286081i
$679$	8.06373	−	13.9668i	0.309457	−	0.535996i
$680$	14.7195	+	0.348460i	0.564466	+	0.0133628i
$681$	−4.85369	+	8.40684i	−0.185994	+	0.322151i
$682$	7.80199	+	4.50448i	0.298754	+	0.172486i
$683$			17.1692i			0.656961i	0.944511	+	0.328480i	$0.106536\pi$
$683$			17.1692i			0.656961i	−0.944511	+	0.328480i	$0.893464\pi$
$684$	7.39829	+	7.87214i	0.282881	+	0.300999i
$685$	−5.78526	−	3.52526i	−0.221043	−	0.134693i
$686$	8.17951	−	14.1673i	0.312295	−	0.540911i
$687$	−42.1764	−	24.3505i	−1.60913	−	0.929031i
$688$	6.61466	−	3.81898i	0.252182	−	0.145597i
$689$	6.78054	−	11.7442i	0.258318	−	0.447420i
$690$	−0.266470	+	11.2561i	−0.0101443	+	0.428511i
$691$	−2.98323			−0.113488			−0.0567438	−	0.998389i	$-0.518072\pi$
$691$	−2.98323			−0.113488			−0.0567438	+	0.998389i	$0.518072\pi$
$692$		−	0.381787i		−	0.0145134i
$693$	−9.37302	+	5.41152i	−0.356052	+	0.205567i
$694$	−15.2549	−	26.4222i	−0.579066	−	1.00297i
$695$	15.5807	−	25.5694i	0.591011	−	0.969901i
$696$	−12.4306			−0.471179
$697$	−31.8457	+	18.3861i	−1.20624	+	0.696425i
$698$	22.8038	+	13.1658i	0.863135	+	0.498331i
$699$	−1.18538	−	2.05314i	−0.0448352	−	0.0776568i
$700$	0.317187	−	6.69546i	0.0119885	−	0.253065i
$701$	11.6523	−	20.1824i	0.440103	−	0.762280i	−0.557594	−	0.830114i	$-0.688275\pi$
$701$	11.6523	−	20.1824i	0.440103	−	0.762280i	0.997697	+	0.0678338i	$0.0216087\pi$
$702$		−	1.82142i		−	0.0687451i
$703$	21.9977	+	6.63199i	0.829659	+	0.250130i
$704$	−3.25749			−0.122771
$705$	−2.33782	−	4.28006i	−0.0880473	−	0.161196i
$706$	−0.184406	+	0.319400i	−0.00694020	+	0.0120208i
$707$	−14.5126	+	8.37883i	−0.545801	+	0.315118i
$708$	0.339586	+	0.196060i	0.0127624	+	0.00736839i
$709$	12.7003	+	21.9976i	0.476970	+	0.826137i	0.999652	−	0.0263912i	$-0.00840157\pi$
$709$	12.7003	+	21.9976i	0.476970	+	0.826137i	−0.522681	+	0.852528i	$0.675068\pi$
$710$	13.7279	+	8.36514i	0.515200	+	0.313938i
$711$	−38.4359			−1.44146
$712$	−8.49898	+	4.90689i	−0.318513	+	0.183893i
$713$	−5.15252	+	2.97481i	−0.192963	+	0.111407i
$714$	−20.6611			−0.773221
$715$	9.27968	+	5.65459i	0.347040	+	0.211470i
$716$	−6.09068	−	10.5494i	−0.227619	−	0.394248i
$717$	−46.0634	−	26.5947i	−1.72027	−	0.993198i
$718$	−25.5533	+	14.7532i	−0.953641	+	0.550585i
$719$	−20.8709	+	36.1495i	−0.778353	+	1.34815i	0.154537	+	0.987987i	$0.450611\pi$
$719$	−20.8709	+	36.1495i	−0.778353	+	1.34815i	−0.932890	+	0.360161i	$0.882722\pi$
$720$	−2.65656	−	4.86360i	−0.0990040	−	0.181256i
$721$	−11.7803			−0.438723
$722$	8.46154	+	17.0118i	0.314906	+	0.633115i
$723$		−	34.4864i		−	1.28256i
$724$	−0.996021	+	1.72516i	−0.0370168	+	0.0641150i
$725$	−26.5245	−	1.25656i	−0.985096	−	0.0466673i
$726$	−0.454962	−	0.788018i	−0.0168852	−	0.0292461i
$727$	17.0362	+	9.83583i	0.631836	+	0.364791i	0.781463	−	0.623952i	$-0.214474\pi$
$727$	17.0362	+	9.83583i	0.631836	+	0.364791i	−0.149627	+	0.988743i	$0.547807\pi$
$728$	1.73205	−	1.00000i	0.0641941	−	0.0370625i
$729$	16.9366			0.627280
$730$	−17.7468	+	29.1241i	−0.656839	+	1.07793i
$731$	−25.1464	−	43.5549i	−0.930074	−	1.61094i
$732$	−23.6947	+	13.6802i	−0.875783	+	0.505634i
$733$			28.9684i			1.06997i	0.844861	+	0.534987i	$0.179683\pi$
$733$			28.9684i			1.06997i	−0.844861	+	0.534987i	$0.820317\pi$
$734$	−18.3372			−0.676840
$735$	0.644448	−	27.2224i	0.0237708	−	1.00412i
$736$	1.07564	−	1.86306i	0.0396486	−	0.0686734i
$737$	36.8750	−	21.2898i	1.35831	−	0.784219i
$738$	11.9865	+	6.92038i	0.441227	+	0.254743i
$739$	3.07219	−	5.32118i	0.113012	−	0.195743i	−0.803971	−	0.594668i	$-0.797283\pi$
$739$	3.07219	−	5.32118i	0.113012	−	0.195743i	0.916983	+	0.398925i	$0.130617\pi$
$740$	−10.0649	−	6.13306i	−0.369992	−	0.225456i
$741$	−4.39351	+	14.5728i	−0.161400	+	0.535347i
$742$		−	12.1860i		−	0.447360i
$743$	−4.57940	−	2.64392i	−0.168002	−	0.0969959i	0.413641	−	0.910440i	$-0.364257\pi$
$743$	−4.57940	−	2.64392i	−0.168002	−	0.0969959i	−0.581643	+	0.813444i	$0.697590\pi$
$744$	3.23659	−	5.60594i	0.118659	−	0.205524i
$745$	48.8275	+	1.15591i	1.78890	+	0.0423494i
$746$	−10.0964	+	17.4875i	−0.369656	+	0.640262i
$747$	−0.673116	+	0.388624i	−0.0246280	+	0.0142190i
$748$			21.4492i			0.784262i
$749$	13.4059			0.489843
$750$	−11.4435	−	23.5339i	−0.417857	−	0.859337i
$751$	−18.1097	−	31.3669i	−0.660832	−	1.14460i	−0.980397	−	0.197031i	$-0.936870\pi$
$751$	−18.1097	−	31.3669i	−0.660832	−	1.14460i	0.319565	−	0.947564i	$-0.396463\pi$
$752$			0.931824i			0.0339801i
$753$			45.9537i			1.67465i
$754$	−3.96157	−	6.86163i	−0.144272	−	0.249886i
$755$	19.6628	+	35.9986i	0.715604	+	1.31012i
$756$	−0.818361	−	1.41744i	−0.0297635	−	0.0515519i
$757$	26.3922	+	15.2376i	0.959242	+	0.553818i	0.895940	−	0.444176i	$-0.146504\pi$
$757$	26.3922	+	15.2376i	0.959242	+	0.553818i	0.0633020	+	0.997994i	$0.479837\pi$
$758$	13.2242	+	7.63500i	0.480325	+	0.277316i
$759$	−16.4024			−0.595368
$760$	−2.00426	−	9.53850i	−0.0727022	−	0.345998i
$761$	1.54196			0.0558962			0.0279481	−	0.999609i	$-0.491103\pi$
$761$	1.54196			0.0558962			0.0279481	+	0.999609i	$0.491103\pi$
$762$	−0.894460	−	0.516417i	−0.0324029	−	0.0187078i
$763$	18.9777	+	10.9568i	0.687038	+	0.396662i
$764$	−5.31085	−	9.19867i	−0.192140	−	0.332796i
$765$	−32.0248	+	17.4923i	−1.15786	+	0.632437i
$766$	13.4026	+	23.2139i	0.484254	+	0.838752i
$767$			0.249934i			0.00902459i
$768$			2.34059i			0.0844589i
$769$	−3.58197	−	6.20415i	−0.129169	−	0.223728i	0.794186	−	0.607675i	$-0.207898\pi$
$769$	−3.58197	−	6.20415i	−0.129169	−	0.223728i	−0.923355	+	0.383948i	$0.874564\pi$
$770$	9.76212	+	0.231103i	0.351802	+	0.00832836i
$771$	6.04225			0.217606
$772$			15.2824i			0.550024i
$773$	22.4406	−	12.9561i	0.807131	−	0.465998i	−0.0388273	−	0.999246i	$-0.512362\pi$
$773$	22.4406	−	12.9561i	0.807131	−	0.465998i	0.845959	+	0.533248i	$0.179029\pi$
$774$	−9.46489	+	16.3937i	−0.340208	+	0.589258i
$775$	7.47297	−	11.6349i	0.268437	−	0.417937i
$776$	−6.01504	+	10.4184i	−0.215927	+	0.373997i
$777$	14.3234	+	8.26961i	0.513849	+	0.296671i
$778$			24.3289i			0.872232i
$779$	16.6707	+	17.7384i	0.597291	+	0.635546i
$780$	4.06298	−	6.66770i	0.145478	−	0.238742i
$781$	−11.7096	+	20.2816i	−0.419001	+	0.725731i
$782$	−12.2675	−	7.08265i	−0.438685	−	0.253275i
$783$	−5.61530	+	3.24199i	−0.200674	+	0.115859i
$784$	−2.60140	+	4.50576i	−0.0929072	+	0.160920i
$785$	0.393814	−	16.6353i	0.0140558	−	0.593738i
$786$	−16.6686			−0.594551
$787$		−	55.7022i		−	1.98557i	−0.119912	−	0.992785i	$-0.538261\pi$
$787$		−	55.7022i		−	1.98557i	0.119912	−	0.992785i	$-0.461739\pi$
$788$	3.55820	−	2.05433i	0.126756	−	0.0731823i
$789$	−9.20138	−	15.9373i	−0.327578	−	0.567381i
$790$	29.6132	+	18.0449i	1.05359	+	0.642008i
$791$	8.53307			0.303401
$792$	6.99169	−	4.03665i	0.248439	−	0.143436i
$793$	−15.1028	−	8.71962i	−0.536317	−	0.309643i
$794$	−9.53415	−	16.5136i	−0.338354	−	0.586047i
$795$	−22.8054	−	41.7521i	−0.808826	−	1.48079i
$796$	5.20281	−	9.01152i	0.184409	−	0.319405i
$797$			35.0111i			1.24016i	0.784540	+	0.620078i	$0.212899\pi$
$797$			35.0111i			1.24016i	−0.784540	+	0.620078i	$0.787101\pi$
$798$	3.12850	+	13.3147i	0.110748	+	0.471335i
$799$	6.13568			0.217065
$800$	−0.236602	+	4.99440i	−0.00836513	+	0.176579i
$801$	12.1612	−	21.0637i	0.429693	−	0.744250i
$802$	−8.31554	+	4.80098i	−0.293632	+	0.169529i
$803$	−43.0278	−	24.8421i	−1.51842	−	0.876658i
$804$	−15.2973	−	26.4956i	−0.539493	−	0.934430i
$805$	−3.35568	+	5.50696i	−0.118272	+	0.194095i
$806$	4.12595			0.145330
$807$	−4.22102	+	2.43701i	−0.148587	+	0.0857868i
$808$	10.8255	−	6.25008i	0.380838	−	0.219877i
$809$	31.0000			1.08990			0.544951	−	0.838468i	$-0.316548\pi$
$809$	31.0000			1.08990			0.544951	+	0.838468i	$0.316548\pi$
$810$	−19.6539	−	11.9762i	−0.690568	−	0.420799i
$811$	−1.77251	−	3.07008i	−0.0622412	−	0.107805i	0.833226	−	0.552933i	$-0.186491\pi$
$811$	−1.77251	−	3.07008i	−0.0622412	−	0.107805i	−0.895467	+	0.445128i	$0.853158\pi$
$812$	−6.16584	−	3.55985i	−0.216379	−	0.124926i
$813$	21.8360	−	12.6070i	0.765820	−	0.442147i
$814$	8.58509	−	14.8698i	0.300907	−	0.521186i
$815$	−30.4959	+	16.6572i	−1.06823	+	0.583477i
$816$	15.4119			0.539523
$817$	−24.2606	+	22.8003i	−0.848770	+	0.797681i
$818$			22.7379i			0.795011i
$819$	−2.47838	+	4.29269i	−0.0866017	+	0.149999i
$820$	−5.98607	−	10.9593i	−0.209043	−	0.382714i
$821$	−2.84352	−	4.92512i	−0.0992395	−	0.171888i	0.812131	−	0.583476i	$-0.198308\pi$
$821$	−2.84352	−	4.92512i	−0.0992395	−	0.171888i	−0.911370	+	0.411588i	$0.864974\pi$
$822$	−6.14133	−	3.54570i	−0.214203	−	0.123670i
$823$	27.1028	−	15.6478i	0.944745	−	0.545449i	0.0533007	−	0.998579i	$-0.483026\pi$
$823$	27.1028	−	15.6478i	0.944745	−	0.545449i	0.891445	+	0.453130i	$0.149692\pi$
$824$	8.78740			0.306124
$825$	33.8799	−	17.4775i	1.17955	−	0.608490i
$826$	0.112295	+	0.194501i	0.00390724	+	0.00676754i
$827$	−1.93001	+	1.11429i	−0.0671130	+	0.0387477i	−0.533181	−	0.846001i	$-0.679004\pi$
$827$	−1.93001	+	1.11429i	−0.0671130	+	0.0387477i	0.466068	+	0.884749i	$0.345670\pi$
$828$			5.33170i			0.185289i
$829$	−1.17604			−0.0408456			−0.0204228	−	0.999791i	$-0.506501\pi$
$829$	−1.17604			−0.0408456			−0.0204228	+	0.999791i	$0.506501\pi$
$830$	0.701059	+	0.0165965i	0.0243341	+	0.000576071i
$831$	−9.97128	+	17.2708i	−0.345900	+	0.599116i
$832$	−1.29200	+	0.745938i	−0.0447921	+	0.0258607i
$833$	29.6686	+	17.1292i	1.02796	+	0.593491i
$834$	15.6711	−	27.1431i	0.542645	−	0.939889i
$835$	−42.1296	−	25.6718i	−1.45796	−	0.888409i
$836$	13.8226	−	3.24784i	0.478066	−	0.112329i
$837$		−	3.37652i		−	0.116710i
$838$	31.6777	+	18.2891i	1.09429	+	0.631788i
$839$	14.8851	−	25.7817i	0.513890	−	0.890084i	−0.485980	−	0.873970i	$-0.661537\pi$
$839$	14.8851	−	25.7817i	0.513890	−	0.890084i	0.999870	−	0.0161138i	$-0.00512942\pi$
$840$	0.166053	−	7.01434i	0.00572939	−	0.242018i
$841$	0.397419	−	0.688350i	0.0137041	−	0.0237362i
$842$	9.55434	−	5.51620i	0.329264	−	0.190101i
$843$			15.4370i			0.531678i
$844$	13.9703			0.480876
$845$	−24.0853	−	0.570182i	−0.828561	−	0.0196149i
$846$	−1.15471	−	2.00001i	−0.0396997	−	0.0687619i
$847$		−	0.521167i		−	0.0179075i
$848$			9.08996i			0.312151i
$849$	7.87566	+	13.6410i	0.270292	+	0.468159i
$850$	32.8861	+	1.55793i	1.12798	+	0.0534364i
$851$	5.66968	+	9.82018i	0.194354	+	0.336631i
$852$	14.5728	+	8.41364i	0.499257	+	0.288246i
$853$	−30.7512	−	17.7542i	−1.05290	−	0.607893i	−0.129442	−	0.991587i	$-0.541318\pi$
$853$	−30.7512	−	17.7542i	−1.05290	−	0.607893i	−0.923460	+	0.383694i	$0.874652\pi$
$854$	−15.6709			−0.536246
$855$	16.1219	+	17.9892i	0.551356	+	0.615218i
$856$	−10.0000			−0.341793
$857$	6.20920	+	3.58488i	0.212102	+	0.122457i	0.602288	−	0.798279i	$-0.294256\pi$
$857$	6.20920	+	3.58488i	0.212102	+	0.122457i	−0.390186	+	0.920736i	$0.627589\pi$
$858$	9.85082	+	5.68737i	0.336302	+	0.194164i
$859$	−11.0661	−	19.1671i	−0.377572	−	0.653973i	0.613137	−	0.789977i	$-0.289907\pi$
$859$	−11.0661	−	19.1671i	−0.377572	−	0.653973i	−0.990708	+	0.136003i	$0.956574\pi$
$860$	14.9888	−	8.18705i	0.511114	−	0.279176i
$861$	8.76164	+	15.1756i	0.298596	+	0.517183i
$862$		−	20.8978i		−	0.711783i
$863$			27.8800i			0.949048i	0.880243	+	0.474524i	$0.157380\pi$
$863$			27.8800i			0.949048i	−0.880243	+	0.474524i	$0.842620\pi$
$864$	0.610447	+	1.05732i	0.0207678	+	0.0359709i
$865$	0.0202044	−	0.853462i	0.000686969	−	0.0290186i
$866$	14.2495			0.484219
$867$		−	61.6907i		−	2.09513i
$868$	3.21085	−	1.85378i	0.108983	−	0.0629215i
$869$	−25.2593	+	43.7504i	−0.856864	+	1.48413i
$870$	−27.7878	−	0.657832i	−0.942094	−	0.0223026i
$871$	9.75035	−	16.8881i	0.330378	−	0.572232i
$872$	−14.1562	−	8.17306i	−0.479388	−	0.276775i
$873$		−	29.8151i		−	1.00909i
$874$	−2.70676	+	8.97806i	−0.0915575	+	0.303688i
$875$	1.06338	−	14.9505i	0.0359488	−	0.505420i
$876$	−17.8497	+	30.9166i	−0.603086	+	1.04458i
$877$	20.6018	+	11.8945i	0.695675	+	0.401648i	0.805735	−	0.592277i	$-0.201771\pi$
$877$	20.6018	+	11.8945i	0.695675	+	0.401648i	−0.110060	+	0.993925i	$0.535104\pi$
$878$	9.09900	−	5.25331i	0.307076	−	0.177291i
$879$	1.25022	−	2.16544i	0.0421688	−	0.0730386i
$880$	−7.28193	−	0.172388i	−0.245474	−	0.00581120i
$881$	24.4819			0.824815			0.412408	−	0.910999i	$-0.364688\pi$
$881$	24.4819			0.824815			0.412408	+	0.910999i	$0.364688\pi$
$882$		−	12.8945i		−	0.434182i
$883$	−28.0887	+	16.2170i	−0.945260	+	0.545746i	−0.891605	−	0.452813i	$-0.850420\pi$
$883$	−28.0887	+	16.2170i	−0.945260	+	0.545746i	−0.0536549	+	0.998560i	$0.517087\pi$
$884$	4.91170	+	8.50731i	0.165198	+	0.286132i
$885$	0.748749	+	0.456252i	0.0251689	+	0.0153367i
$886$	38.4561			1.29196
$887$	8.06497	−	4.65631i	0.270795	−	0.156344i	−0.358454	−	0.933547i	$-0.616696\pi$
$887$	8.06497	−	4.65631i	0.270795	−	0.156344i	0.629249	+	0.777204i	$0.283363\pi$
$888$	−10.6844	−	6.16862i	−0.358544	−	0.207005i
$889$	−0.295782	−	0.512309i	−0.00992021	−	0.0171823i
$890$	−19.2587	+	10.5193i	−0.645551	+	0.352608i
$891$	16.7643	−	29.0366i	0.561625	−	0.972763i
$892$			4.65941i			0.156008i
$893$	−0.929064	−	3.95404i	−0.0310899	−	0.132317i
$894$	51.1242			1.70985
$895$	−13.0571	−	23.9048i	−0.436450	−	0.799050i
$896$	−0.670297	+	1.16099i	−0.0223931	+	0.0387859i
$897$	−6.50559	+	3.75600i	−0.217215	+	0.125409i
$898$	−23.3309	−	13.4701i	−0.778563	−	0.449504i
$899$	−7.34389	−	12.7200i	−0.244932	−	0.424235i
$900$	−5.68119	−	11.0129i	−0.189373	−	0.367096i
$901$	59.8537			1.99402
$902$	15.7545	−	9.09588i	0.524568	−	0.302860i
$903$	−20.7554	+	11.9831i	−0.690697	+	0.398774i
$904$	−6.36514			−0.211701
$905$	−2.31784	+	3.80378i	−0.0770477	+	0.126442i
$906$	21.4680	+	37.1837i	0.713228	+	1.23535i
$907$	9.48497	+	5.47615i	0.314943	+	0.181833i	0.649136	−	0.760672i	$-0.275130\pi$
$907$	9.48497	+	5.47615i	0.314943	+	0.181833i	−0.334193	+	0.942505i	$0.608464\pi$
$908$	3.59176	−	2.07370i	0.119197	−	0.0688182i
$909$	−15.4901	+	26.8296i	−0.513774	+	0.889883i
$910$	3.92482	−	2.14378i	0.130106	−	0.0710656i
$911$	−53.5887			−1.77547			−0.887736	−	0.460353i	$-0.847723\pi$
$911$	−53.5887			−1.77547			−0.887736	+	0.460353i	$0.847723\pi$
$912$	−2.33366	−	9.93193i	−0.0772753	−	0.328879i
$913$			1.02158i			0.0338095i
$914$	−7.32358	+	12.6848i	−0.242243	+	0.419577i
$915$	−53.6922	+	29.3273i	−1.77501	+	0.969530i
$916$	10.4036	+	18.0195i	0.343744	+	0.595381i
$917$	−8.26803	−	4.77355i	−0.273034	−	0.157636i
$918$	6.96205	−	4.01954i	0.229782	−	0.132665i
$919$	14.8653			0.490362			0.245181	−	0.969477i	$-0.421153\pi$
$919$	14.8653			0.490362			0.245181	+	0.969477i	$0.421153\pi$
$920$	2.50313	−	4.10785i	0.0825256	−	0.135432i
$921$	−3.92898	−	6.80518i	−0.129464	−	0.224238i
$922$	−0.180311	+	0.104103i	−0.00593824	+	0.00342845i
$923$			10.7256i			0.353036i
$924$	10.2213			0.336257
$925$	−22.1749	−	14.2427i	−0.729106	−	0.468298i
$926$	−12.3290	+	21.3545i	−0.405157	+	0.701752i
$927$	−18.8608	+	10.8893i	−0.619469	+	0.357651i
$928$	4.59933	+	2.65543i	0.150981	+	0.0871686i
$929$	−15.1444	+	26.2309i	−0.496872	+	0.860608i	−0.999993	−	0.00360816i	$-0.998851\pi$
$929$	−15.1444	+	26.2309i	−0.496872	+	0.860608i	0.503122	+	0.864216i	$0.332185\pi$
$930$	7.53188	−	12.3605i	0.246980	−	0.405316i
$931$	6.54621	−	21.7132i	0.214544	−	0.711620i
$932$			1.01289i			0.0331782i
$933$	15.6126	+	9.01393i	0.511133	+	0.295103i
$934$	11.2141	−	19.4233i	0.366935	−	0.635551i
$935$	−1.13511	+	47.9485i	−0.0371219	+	1.56808i
$936$	1.84872	−	3.20208i	0.0604273	−	0.104663i
$937$	2.18413	−	1.26101i	0.0713525	−	0.0411954i	−0.463899	−	0.885888i	$-0.653550\pi$
$937$	2.18413	−	1.26101i	0.0713525	−	0.0411954i	0.535252	+	0.844693i	$0.320217\pi$
$938$		−	17.5233i		−	0.572155i
$939$	13.4600			0.439251
$940$	−0.0493126	+	2.08304i	−0.00160840	+	0.0679412i
$941$	24.8927	+	43.1154i	0.811478	+	1.40552i	0.911829	+	0.410570i	$0.134670\pi$
$941$	24.8927	+	43.1154i	0.811478	+	1.40552i	−0.100351	+	0.994952i	$0.531996\pi$
$942$		−	17.4178i		−	0.567502i
$943$			12.0140i			0.391231i
$944$	−0.0837650	−	0.145085i	−0.00272632	−	0.00472212i
$945$	−1.75439	−	3.21192i	−0.0570702	−	0.104484i
$946$	12.4403	+	21.5472i	0.404468	+	0.700560i
$947$	46.8341	+	27.0397i	1.52190	+	0.878672i	0.999665	+	0.0258727i	$0.00823645\pi$
$947$	46.8341	+	27.0397i	1.52190	+	0.878672i	0.522239	+	0.852799i	$0.325097\pi$
$948$	31.4359	+	18.1495i	1.02099	+	0.589469i
$949$	−22.7545			−0.738643
$950$	−3.97563	−	21.4288i	−0.128986	−	0.695243i
$951$	40.7948			1.32286
$952$	7.64464	+	4.41364i	0.247764	+	0.143047i
$953$	26.1570	+	15.1018i	0.847309	+	0.489194i	0.859742	−	0.510728i	$-0.170624\pi$
$953$	26.1570	+	15.1018i	0.847309	+	0.489194i	−0.0124327	+	0.999923i	$0.503958\pi$
$954$	−11.2642	−	19.5102i	−0.364692	−	0.631665i
$955$	−11.3853	−	20.8441i	−0.368420	−	0.674500i
$956$	11.3624	+	19.6802i	0.367486	+	0.636504i
$957$		−	40.4924i		−	1.30893i
$958$		−	16.3516i		−	0.528298i
$959$	−2.03083	−	3.51750i	−0.0655788	−	0.113586i
$960$	−0.123866	+	5.23226i	−0.00399774	+	0.168871i
$961$	−23.3514			−0.753270
$962$		−	7.86365i		−	0.253534i
$963$	21.4634	−	12.3919i	0.691649	−	0.399324i
$964$	−7.36702	+	12.7600i	−0.237276	+	0.410974i
$965$	−0.808751	+	34.1628i	−0.0260346	+	1.09974i
$966$	−3.37513	+	5.84590i	−0.108593	+	0.188089i
$967$	22.4127	+	12.9400i	0.720745	+	0.416122i	0.815027	−	0.579423i	$-0.196722\pi$
$967$	22.4127	+	12.9400i	0.720745	+	0.416122i	−0.0942818	+	0.995546i	$0.530055\pi$
$968$			0.388758i			0.0124952i
$969$	−65.3977	+	15.3662i	−2.10088	+	0.493634i
$970$	−13.9976	+	22.9713i	−0.449436	+	0.737564i
$971$	13.1440	−	22.7660i	0.421811	−	0.730597i	−0.574306	−	0.818641i	$-0.694728\pi$
$971$	13.1440	−	22.7660i	0.421811	−	0.730597i	0.996117	+	0.0880434i	$0.0280614\pi$
$972$	−17.6916	−	10.2143i	−0.567459	−	0.327622i
$973$	15.5464	−	8.97574i	0.498396	−	0.287749i
$974$	−20.3929	+	35.3216i	−0.653432	+	1.13178i
$975$	9.43540	−	14.6902i	0.302175	−	0.470464i
$976$	11.6895			0.374171
$977$			49.3857i			1.57999i	0.613114	+	0.789995i	$0.289917\pi$
$977$			49.3857i			1.57999i	−0.613114	+	0.789995i	$0.710083\pi$
$978$	−31.4999	+	18.1865i	−1.00726	+	0.581539i
$979$	−15.9841	−	27.6853i	−0.510855	−	0.884828i
$980$	−6.05373	+	9.93470i	−0.193379	+	0.317352i
$981$	40.5120			1.29345
$982$	19.3838	−	11.1912i	0.618561	−	0.357126i
$983$	17.9094	+	10.3400i	0.571221	+	0.329795i	0.757637	−	0.652676i	$-0.226354\pi$
$983$	17.9094	+	10.3400i	0.571221	+	0.329795i	−0.186416	+	0.982471i	$0.559687\pi$
$984$	−6.53563	−	11.3201i	−0.208348	−	0.360870i
$985$	8.06286	−	4.40402i	0.256904	−	0.140324i
$986$	17.4849	−	30.2847i	0.556833	−	0.964463i
$987$		−	2.92387i		−	0.0930677i
$988$	4.73867	−	4.45344i	0.150757	−	0.141683i
$989$	−16.4314			−0.522488
$990$	15.8431	−	8.65370i	0.503528	−	0.275033i
$991$	−1.94256	+	3.36461i	−0.0617074	+	0.106880i	−0.895229	−	0.445607i	$-0.852988\pi$
$991$	−1.94256	+	3.36461i	−0.0617074	+	0.106880i	0.833521	+	0.552487i	$0.186321\pi$
$992$	−2.39509	+	1.38281i	−0.0760443	+	0.0439042i
$993$	24.5488	+	14.1732i	0.779032	+	0.449774i
$994$	4.81898	+	8.34671i	0.152849	+	0.264742i
$995$	12.1075	−	19.8694i	0.383832	−	0.629902i
$996$	0.734036			0.0232588
$997$	−41.0440	+	23.6968i	−1.29988	+	0.750484i	−0.980383	−	0.197104i	$-0.936846\pi$
$997$	−41.0440	+	23.6968i	−1.29988	+	0.750484i	−0.319494	+	0.947588i	$0.603513\pi$
$998$	7.06189	−	4.07719i	0.223540	−	0.129061i
$999$	−6.43531			−0.203604

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	190.2.i.a.49.1	✓	20
3.2	odd	2		1710.2.t.d.1189.6		20
5.2	odd	4		950.2.e.o.201.1		10
5.3	odd	4		950.2.e.n.201.5		10
5.4	even	2	inner	190.2.i.a.49.10	yes	20
15.14	odd	2		1710.2.t.d.1189.5		20
19.7	even	3	inner	190.2.i.a.159.10	yes	20
57.26	odd	6		1710.2.t.d.919.5		20
95.7	odd	12		950.2.e.o.501.1		10
95.64	even	6	inner	190.2.i.a.159.1	yes	20
95.83	odd	12		950.2.e.n.501.5		10
285.254	odd	6		1710.2.t.d.919.6		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
190.2.i.a.49.1	✓	20	1.1	even	1	trivial
190.2.i.a.49.10	yes	20	5.4	even	2	inner
190.2.i.a.159.1	yes	20	95.64	even	6	inner
190.2.i.a.159.10	yes	20	19.7	even	3	inner
950.2.e.n.201.5		10	5.3	odd	4
950.2.e.n.501.5		10	95.83	odd	12
950.2.e.o.201.1		10	5.2	odd	4
950.2.e.o.501.1		10	95.7	odd	12
1710.2.t.d.919.5		20	57.26	odd	6
1710.2.t.d.919.6		20	285.254	odd	6
1710.2.t.d.1189.5		20	15.14	odd	2
1710.2.t.d.1189.6		20	3.2	odd	2

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:	\( N \)	\(=\)	\( 190 = 2 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	190.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.02701 - 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.07189 + 1.96241i) q^{5} +(1.17030 + 2.02701i) q^{6} +1.34059i q^{7} -1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-2.02701 - 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.07189 + 1.96241i) q^{5} +(1.17030 + 2.02701i) q^{6} +1.34059i q^{7} -1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +(0.0529205 - 2.23544i) q^{10} +3.25749 q^{11} -2.34059i q^{12} +(1.29200 - 0.745938i) q^{13} +(0.670297 - 1.16099i) q^{14} +(0.123866 - 5.23226i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(5.70242 + 3.29230i) q^{17} -2.47838i q^{18} +(1.25821 - 4.17336i) q^{19} +(-1.16355 + 1.90949i) q^{20} +(1.56889 - 2.71740i) q^{21} +(-2.82107 - 1.62875i) q^{22} +(1.86306 - 1.07564i) q^{23} +(-1.17030 + 2.02701i) q^{24} +(-2.70210 + 4.20698i) q^{25} -1.49188 q^{26} +1.22089i q^{27} +(-1.16099 + 0.670297i) q^{28} +(2.65543 + 4.59933i) q^{29} +(-2.72340 + 4.46934i) q^{30} -2.76561 q^{31} +(0.866025 - 0.500000i) q^{32} +(-6.60298 - 3.81223i) q^{33} +(-3.29230 - 5.70242i) q^{34} +(-2.63080 + 1.43697i) q^{35} +(-1.23919 + 2.14634i) q^{36} +5.27098i q^{37} +(-3.17632 + 2.98513i) q^{38} -3.49188 q^{39} +(1.96241 - 1.07189i) q^{40} +(-2.79230 + 4.83640i) q^{41} +(-2.71740 + 1.56889i) q^{42} +(-6.61466 - 3.81898i) q^{43} +(1.62875 + 2.82107i) q^{44} +(-2.88373 + 4.73245i) q^{45} -2.15128 q^{46} +(0.806983 - 0.465912i) q^{47} +(2.02701 - 1.17030i) q^{48} +5.20281 q^{49} +(4.44358 - 2.29230i) q^{50} +(-7.70593 - 13.3471i) q^{51} +(1.29200 + 0.745938i) q^{52} +(7.87214 - 4.54498i) q^{53} +(0.610447 - 1.05732i) q^{54} +(3.49167 + 6.39253i) q^{55} +1.34059 q^{56} +(-7.43448 + 6.98698i) q^{57} -5.31085i q^{58} +(-0.0837650 + 0.145085i) q^{59} +(4.59321 - 2.50886i) q^{60} +(-5.84474 - 10.1234i) q^{61} +(2.39509 + 1.38281i) q^{62} +(-2.87738 + 1.66125i) q^{63} -1.00000 q^{64} +(2.84872 + 1.73587i) q^{65} +(3.81223 + 6.60298i) q^{66} +(11.3201 - 6.53563i) q^{67} +6.58459i q^{68} -5.03528 q^{69} +(2.99682 + 0.0709450i) q^{70} +(-3.59466 + 6.22613i) q^{71} +(2.14634 - 1.23919i) q^{72} +(-13.2089 - 7.62615i) q^{73} +(2.63549 - 4.56480i) q^{74} +(10.4006 - 5.36534i) q^{75} +(4.24334 - 0.997038i) q^{76} +4.36697i q^{77} +(3.02405 + 1.74594i) q^{78} +(-7.75423 + 13.4307i) q^{79} +(-2.23544 - 0.0529205i) q^{80} +(5.14638 - 8.91380i) q^{81} +(4.83640 - 2.79230i) q^{82} +0.313611i q^{83} +3.13779 q^{84} +(-0.348460 + 14.7195i) q^{85} +(3.81898 + 6.61466i) q^{86} -12.4306i q^{87} -3.25749i q^{88} +(-4.90689 - 8.49898i) q^{89} +(4.86360 - 2.65656i) q^{90} +(1.00000 + 1.73205i) q^{91} +(1.86306 + 1.07564i) q^{92} +(5.60594 + 3.23659i) q^{93} -0.931824 q^{94} +(9.53850 - 2.00426i) q^{95} -2.34059 q^{96} +(-10.4184 - 6.01504i) q^{97} +(-4.50576 - 2.60140i) q^{98} +(4.03665 + 6.99169i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 10 q^{4} - 2 q^{5} + 10 q^{9}+O(q^{10}) \) 20 * q + 10 * q^4 - 2 * q^5 + 10 * q^9	\( 20 q + 10 q^{4} - 2 q^{5} + 10 q^{9} - 12 q^{11} - 10 q^{14} - 2 q^{15} - 10 q^{16} - 22 q^{19} - 4 q^{20} + 40 q^{21} - 6 q^{25} + 8 q^{26} - 4 q^{29} + 12 q^{30} - 16 q^{31} - 8 q^{34} - 2 q^{35} - 10 q^{36} - 32 q^{39} + 2 q^{41} - 6 q^{44} - 56 q^{45} - 52 q^{46} + 40 q^{49} + 40 q^{50} + 8 q^{51} + 36 q^{54} + 18 q^{55} - 20 q^{56} - 44 q^{59} + 2 q^{60} - 4 q^{61} - 20 q^{64} + 48 q^{65} + 4 q^{66} + 48 q^{69} - 8 q^{70} - 44 q^{71} + 10 q^{74} - 56 q^{75} + 4 q^{76} - 4 q^{79} - 2 q^{80} - 10 q^{81} + 80 q^{84} + 12 q^{85} + 2 q^{89} + 42 q^{90} + 20 q^{91} - 40 q^{94} - 4 q^{95} - 26 q^{99}+O(q^{100}) \) 20 * q + 10 * q^4 - 2 * q^5 + 10 * q^9 - 12 * q^11 - 10 * q^14 - 2 * q^15 - 10 * q^16 - 22 * q^19 - 4 * q^20 + 40 * q^21 - 6 * q^25 + 8 * q^26 - 4 * q^29 + 12 * q^30 - 16 * q^31 - 8 * q^34 - 2 * q^35 - 10 * q^36 - 32 * q^39 + 2 * q^41 - 6 * q^44 - 56 * q^45 - 52 * q^46 + 40 * q^49 + 40 * q^50 + 8 * q^51 + 36 * q^54 + 18 * q^55 - 20 * q^56 - 44 * q^59 + 2 * q^60 - 4 * q^61 - 20 * q^64 + 48 * q^65 + 4 * q^66 + 48 * q^69 - 8 * q^70 - 44 * q^71 + 10 * q^74 - 56 * q^75 + 4 * q^76 - 4 * q^79 - 2 * q^80 - 10 * q^81 + 80 * q^84 + 12 * q^85 + 2 * q^89 + 42 * q^90 + 20 * q^91 - 40 * q^94 - 4 * q^95 - 26 * q^99

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