LMFDB - Embedded newform 190.2.i.a.49.10

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			49.10
Root			$-2.02701 - 1.17030i$ of defining polynomial
Character	$\chi$	$=$	190.49
Dual form			190.2.i.a.159.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(2.02701 + 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23544 + 0.0529205i) q^{5} +(1.17030 + 2.02701i) q^{6} -1.34059i q^{7} +1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(2.02701 + 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23544 + 0.0529205i) q^{5} +(1.17030 + 2.02701i) q^{6} -1.34059i q^{7} +1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +(-1.96241 - 1.07189i) q^{10} +3.25749 q^{11} +2.34059i q^{12} +(-1.29200 + 0.745938i) q^{13} +(0.670297 - 1.16099i) q^{14} +(-4.59321 - 2.50886i) 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} +(4.99440 - 0.236602i) 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} +(0.0709450 + 2.99682i) q^{35} +(-1.23919 + 2.14634i) q^{36} -5.27098i q^{37} +(3.17632 - 2.98513i) q^{38} -3.49188 q^{39} +(-0.0529205 - 2.23544i) 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} +(-7.28193 + 0.172388i) q^{55} +1.34059 q^{56} +(7.43448 - 6.98698i) q^{57} +5.31085i q^{58} +(-0.0837650 + 0.145085i) q^{59} +(-0.123866 - 5.23226i) 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} +(-1.43697 + 2.63080i) 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} +(1.07189 - 1.96241i) q^{80} +(5.14638 - 8.91380i) q^{81} +(-4.83640 + 2.79230i) q^{82} -0.313611i q^{83} +3.13779 q^{84} +(12.9217 + 7.05796i) q^{85} +(3.81898 + 6.61466i) q^{86} +12.4306i q^{87} +3.25749i q^{88} +(-4.90689 - 8.49898i) q^{89} +(-0.131157 - 5.54028i) q^{90} +(1.00000 + 1.73205i) q^{91} +(-1.86306 - 1.07564i) q^{92} +(-5.60594 - 3.23659i) q^{93} -0.931824 q^{94} +(-2.59180 + 9.39588i) 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	0.953750	−	0.300601i	$-0.0971871\pi$
$3$	2.02701	+	1.17030i	1.17030	+	0.675671i	0.216547	+	0.976272i	$0.430520\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−2.23544	+	0.0529205i	−0.999720	+	0.0236668i
$5$	−2.23544	+	0.0529205i	−0.999720	+	0.0236668i
$6$	1.17030	+	2.02701i	0.477772	+	0.827525i
$7$		−	1.34059i		−	0.506697i	−0.967375	−	0.253349i	$-0.918468\pi$
$7$		−	1.34059i		−	0.506697i	0.967375	−	0.253349i	$-0.0815320\pi$
$8$			1.00000i			0.353553i
$9$	1.23919	+	2.14634i	0.413064	+	0.715448i
$10$	−1.96241	−	1.07189i	−0.620568	−	0.338961i
$11$	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	−0.668351	−	0.743846i	$-0.733000\pi$
$13$	−1.29200	+	0.745938i	−0.358337	+	0.206886i	0.310014	+	0.950732i	$0.399666\pi$
$14$	0.670297	−	1.16099i	0.179144	−	0.310287i
$15$	−4.59321	−	2.50886i	−1.18596	−	0.647785i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−5.70242	−	3.29230i	−1.38304	−	0.798499i	−0.390523	−	0.920593i	$-0.627706\pi$
$17$	−5.70242	−	3.29230i	−1.38304	−	0.798499i	−0.992519	+	0.122094i	$0.961039\pi$
$18$			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	−0.681499	−	0.731819i	$-0.738672\pi$
$23$	−1.86306	+	1.07564i	−0.388476	+	0.224287i	0.293024	+	0.956105i	$0.405338\pi$
$24$	−1.17030	+	2.02701i	−0.238886	+	0.413763i
$25$	4.99440	−	0.236602i	0.998880	−	0.0473203i
$26$	−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
$35$	0.0709450	+	2.99682i	0.0119919	+	0.506555i
$36$	−1.23919	+	2.14634i	−0.206532	+	0.357724i
$37$		−	5.27098i		−	0.866544i	−0.901263	−	0.433272i	$-0.857359\pi$
$37$		−	5.27098i		−	0.866544i	0.901263	−	0.433272i	$-0.142641\pi$
$38$	3.17632	−	2.98513i	0.515267	−	0.484252i
$39$	−3.49188			−0.559148
$40$	−0.0529205	−	2.23544i	−0.00836747	−	0.353454i
$41$	−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	0.910819	−	0.412807i	$-0.135452\pi$
$43$	6.61466	+	3.81898i	1.00873	+	0.582389i	0.0979082	+	0.995195i	$0.468785\pi$
$44$	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	−0.557699	−	0.830043i	$-0.688316\pi$
$47$	−0.806983	+	0.465912i	−0.117711	+	0.0679602i	0.439989	+	0.898003i	$0.354982\pi$
$48$	−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	−0.931252	−	0.364375i	$-0.881283\pi$
$53$	−7.87214	+	4.54498i	−1.08132	+	0.624301i	−0.150069	+	0.988676i	$0.547949\pi$
$54$	0.610447	−	1.05732i	0.0830713	−	0.143884i
$55$	−7.28193	+	0.172388i	−0.981895	+	0.0232448i
$56$	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	$0.170138\pi$
$60$	−0.123866	−	5.23226i	−0.0159910	−	0.675482i
$61$	−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	−0.992510	−	0.122167i	$-0.961016\pi$
$67$	−11.3201	+	6.53563i	−1.38296	+	0.798455i	−0.390455	+	0.920622i	$0.627682\pi$
$68$		−	6.58459i		−	0.798499i
$69$	−5.03528			−0.606176
$70$	−1.43697	+	2.63080i	−0.171751	+	0.314440i
$71$	−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	$0.0177686\pi$
$73$	13.2089	+	7.62615i	1.54598	+	0.892573i	0.547539	+	0.836780i	$0.315565\pi$
$74$	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	$0.829217\pi$
$80$	1.07189	−	1.96241i	0.119841	−	0.219404i
$81$	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	$-0.994521\pi$
$83$		−	0.313611i		−	0.0344233i	0.999852	−	0.0172116i	$-0.00547890\pi$
$84$	3.13779			0.342361
$85$	12.9217	+	7.05796i	1.40155	+	0.765543i
$86$	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	$-0.340783\pi$
$90$	−0.131157	−	5.54028i	−0.0138252	−	0.583997i
$91$	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
$95$	−2.59180	+	9.39588i	−0.265913	+	0.963997i
$96$	−2.34059			−0.238886
$97$	10.4184	+	6.01504i	1.05782	+	0.610735i	0.924829	−	0.380382i	$-0.124208\pi$
$97$	10.4184	+	6.01504i	1.05782	+	0.610735i	0.132994	+	0.991117i	$0.457541\pi$
$98$	4.50576	+	2.60140i	0.455151	+	0.262781i
$99$	4.03665	+	6.99169i	0.405699	+	0.702691i
$100$	2.70210	+	4.20698i	0.270210	+	0.420698i
$101$	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	$-0.857482\pi$
$103$		−	8.78740i		−	0.865848i	0.901430	−	0.432924i	$-0.142518\pi$
$104$	−0.745938	−	1.29200i	−0.0731452	−	0.126691i
$105$	−3.36337	+	6.15763i	−0.328231	+	0.600923i
$106$	−9.08996			−0.882895
$107$			10.0000i			0.966736i	0.875417	+	0.483368i	$0.160587\pi$
$107$			10.0000i			0.966736i	−0.875417	+	0.483368i	$0.839413\pi$
$108$	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	$-0.119562\pi$
$110$	−6.39253	−	3.49167i	−0.609504	−	0.332918i
$111$	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	$0.0967834\pi$
$113$			6.36514i			0.598782i	−0.954131	+	0.299391i	$0.903217\pi$
$114$	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
$120$	2.50886	−	4.59321i	0.229027	−	0.419300i
$121$	−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	−0.482949	−	0.875649i	$-0.660434\pi$
$127$	0.382151	−	0.220635i	0.0339104	−	0.0195782i	0.516859	+	0.856070i	$0.327101\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	8.93868	+	15.4822i	0.787007	+	1.36314i
$130$	3.33500	−	0.0789508i	0.292499	−	0.00692445i
$131$	−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
$135$	0.0646103	+	2.72924i	0.00556077	+	0.234895i
$136$	3.29230	−	5.70242i	0.282312	−	0.488979i
$137$	2.62383	−	1.51487i	0.224169	−	0.129424i	−0.383710	−	0.923454i	$-0.625354\pi$
$137$	2.62383	−	1.51487i	0.224169	−	0.129424i	0.607879	+	0.794029i	$0.292020\pi$
$138$	−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	$-0.185944\pi$
$150$	6.32453	+	9.84682i	0.516395	+	0.803990i
$151$	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
$155$	6.18237	−	0.146358i	0.496580	−	0.0117557i
$156$	−1.74594	−	3.02405i	−0.139787	−	0.242118i
$157$	6.44462	+	3.72080i	0.514337	+	0.296952i	0.734614	−	0.678485i	$-0.237363\pi$
$157$	6.44462	+	3.72080i	0.514337	+	0.296952i	−0.220278	+	0.975437i	$0.570696\pi$
$158$	−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	$-0.791733\pi$
$163$		−	15.5400i		−	1.21719i	0.793481	−	0.608595i	$-0.208267\pi$
$164$	−5.58459			−0.436083
$165$	−14.9623	−	8.17259i	−1.16482	−	0.636235i
$166$	0.156805	−	0.271595i	0.0121705	−	0.0210799i
$167$	19.1074	−	11.0317i	1.47857	−	0.853655i	0.478868	−	0.877887i	$-0.341047\pi$
$167$	19.1074	−	11.0317i	1.47857	−	0.853655i	0.999706	+	0.0242320i	$0.00771403\pi$
$168$	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	0.512516	−	0.858678i	$-0.328713\pi$
$173$	0.330637	+	0.190893i	0.0251379	+	0.0145134i	−0.487378	+	0.873191i	$0.662047\pi$
$174$	−6.21528	+	10.7652i	−0.471179	+	0.816106i
$175$	−0.317187	−	6.69546i	−0.0239771	−	0.506130i
$176$	−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	$0.650446\pi$
$180$	2.65656	−	4.86360i	0.198008	−	0.362512i
$181$	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
$185$	0.278943	+	11.7830i	0.0205083	+	0.866301i
$186$	−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
$190$	−6.94250	+	6.84117i	−0.503662	+	0.496311i
$191$	−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	−0.0587608	−	0.998272i	$-0.518715\pi$
$193$	−13.2349	−	7.64118i	−0.952670	−	0.550024i	−0.893909	+	0.448248i	$0.852048\pi$
$194$	6.01504	+	10.4184i	0.431855	+	0.747994i
$195$	7.80588	−	0.184792i	0.558991	−	0.0132332i
$196$	2.60140	+	4.50576i	0.185814	+	0.321840i
$197$			4.10865i			0.292729i	0.989231	+	0.146365i	$0.0467573\pi$
$197$			4.10865i			0.292729i	−0.989231	+	0.146365i	$0.953243\pi$
$198$			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	$0.953570\pi$
$200$	0.236602	+	4.99440i	0.0167303	+	0.353157i
$201$	−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
$205$	5.98607	−	10.9593i	0.418085	−	0.765428i
$206$	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
$215$	−14.9888	−	8.18705i	−1.02223	−	0.558352i
$216$	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	0.358771	−	0.933426i	$-0.383196\pi$
$223$	−4.03516	−	2.32970i	−0.270215	−	0.156008i	−0.628985	+	0.777417i	$0.716529\pi$
$224$	0.670297	+	1.16099i	0.0447861	+	0.0775718i
$225$	6.69685	+	10.4265i	0.446456	+	0.695100i
$226$	−3.18257	+	5.51237i	−0.211701	+	0.366677i
$227$			4.14740i			0.275273i	0.990483	+	0.137636i	$0.0439505\pi$
$227$			4.14740i			0.275273i	−0.990483	+	0.137636i	$0.956049\pi$
$228$	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	$0.258714\pi$
$230$	4.80906	−	0.113847i	0.317100	−	0.00750684i
$231$	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	0.470992	−	0.882138i	$-0.343896\pi$
$233$	−0.877186	−	0.506444i	−0.0574664	−	0.0331782i	−0.528458	+	0.848960i	$0.677230\pi$
$234$	−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
$245$	−11.6306	+	0.275335i	−0.743050	+	0.0175905i
$246$	−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
$250$	−10.0547	−	4.88914i	−0.635913	−	0.309216i
$251$	−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	−0.428649	−	0.903471i	$-0.641010\pi$
$257$	2.23565	−	1.29075i	0.139456	−	0.0805148i	0.568105	+	0.822956i	$0.307677\pi$
$258$			17.8774i			1.11300i
$259$	−7.06625			−0.439075
$260$	2.92767	+	1.59913i	0.181566	+	0.0991736i
$261$	−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	0.275155	−	0.961400i	$-0.411271\pi$
$263$	−6.80906	−	3.93122i	−0.419865	−	0.242409i	−0.695020	+	0.718991i	$0.744604\pi$
$264$	−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	$0.146446\pi$
$270$	−1.30866	+	2.39589i	−0.0796427	+	0.145809i
$271$	−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
$275$	16.2692	−	0.770727i	0.981070	−	0.0464766i
$276$	−2.51764	−	4.36068i	−0.151544	−	0.262482i
$277$			8.52030i			0.511935i	0.966685	+	0.255967i	$0.0823940\pi$
$277$			8.52030i			0.511935i	−0.966685	+	0.255967i	$0.917606\pi$
$278$		−	13.3907i		−	0.803120i
$279$	−3.42713	−	5.93596i	−0.205177	−	0.355377i
$280$	−2.99682	+	0.0709450i	−0.179094	+	0.00423977i
$281$	−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	0.663116	−	0.748516i	$-0.269234\pi$
$283$	5.82802	+	3.36481i	0.346440	+	0.200017i	−0.316676	+	0.948534i	$0.602567\pi$
$284$	−7.18931			−0.426607
$285$	−16.2496	+	16.0124i	−0.962542	+	0.948494i
$286$	−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
$290$	−0.281053	−	11.8721i	−0.0165040	−	0.697154i
$291$	14.0788	+	24.3851i	0.825312	+	1.42948i
$292$			15.2523i			0.892573i
$293$		−	1.06829i		−	0.0624103i	−0.999513	−	0.0312051i	$-0.990065\pi$
$293$		−	1.06829i		−	0.0624103i	0.999513	−	0.0312051i	$-0.00993451\pi$
$294$	6.08883	+	10.5462i	0.355108	+	0.615065i
$295$	0.179574	−	0.328763i	0.0104552	−	0.0191413i
$296$	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
$300$	0.553788	+	11.6899i	0.0319730	+	0.674915i
$301$	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	0.414731	−	0.909944i	$-0.363876\pi$
$307$	−2.90746	−	1.67862i	−0.165937	−	0.0958041i	−0.580669	+	0.814140i	$0.697209\pi$
$308$	3.78191	−	2.18349i	0.215494	−	0.124416i
$309$	10.2839	−	17.8122i	0.585029	−	1.01330i
$310$	5.42727	+	2.96444i	0.308248	+	0.168369i
$311$	−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	−0.352602	−	0.935773i	$-0.614703\pi$
$313$	4.98024	−	2.87534i	0.281500	−	0.162524i	0.634102	+	0.773249i	$0.281370\pi$
$314$	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	−0.0121262	−	0.999926i	$-0.503860\pi$
$317$	15.0942	−	8.71462i	0.847772	−	0.489462i	0.859899	+	0.510465i	$0.170527\pi$
$318$	−18.4255	−	10.6380i	−1.03325	−	0.596547i
$319$	8.65003	+	14.9823i	0.484308	+	0.838847i
$320$	2.23544	−	0.0529205i	0.124965	−	0.00295835i
$321$	−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
$325$	−6.27628	+	4.03120i	−0.348146	+	0.223611i
$326$	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	$0.00742065\pi$
$337$	27.8995	+	16.1078i	1.51978	+	0.877445i	0.520052	+	0.854135i	$0.325913\pi$
$338$	−9.33082	+	5.38715i	−0.507530	+	0.293023i
$339$	−7.44910	+	12.9022i	−0.404580	+	0.700753i
$340$	0.348460	+	14.7195i	0.0188979	+	0.798276i
$341$	−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
$345$	11.2561	−	0.266470i	0.606006	−	0.0143462i
$346$	0.190893	+	0.330637i	0.0102625	+	0.0177752i
$347$	−26.4222	−	15.2549i	−1.41842	−	0.818924i	−0.422257	−	0.906476i	$-0.638762\pi$
$347$	−26.4222	−	15.2549i	−1.41842	−	0.818924i	−0.996160	+	0.0875523i	$0.972095\pi$
$348$	−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	$0.00312424\pi$
$353$			0.368812i			0.0196299i	−0.999952	+	0.00981493i	$0.996876\pi$
$354$	−0.392120			−0.0208409
$355$	7.70616	−	14.1084i	0.409000	−	0.748795i
$356$	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
$365$	−29.9312	−	16.3488i	−1.56667	−	0.855734i
$366$	13.6802	−	23.6947i	0.715074	−	1.23854i
$367$	−15.8805	+	9.16862i	−0.828956	+	0.478598i	−0.853495	−	0.521101i	$-0.825521\pi$
$367$	−15.8805	+	9.16862i	−0.828956	+	0.478598i	0.0245392	+	0.999699i	$0.492188\pi$
$368$		−	2.15128i		−	0.112143i
$369$	−13.8408			−0.720521
$370$	−5.64991	+	10.3438i	−0.293725	+	0.537750i
$371$	6.09298	+	10.5533i	0.316332	+	0.547902i
$372$		−	6.47318i		−	0.335619i
$373$			20.1928i			1.04554i	0.852473	+	0.522772i	$0.175102\pi$
$373$			20.1928i			1.04554i	−0.852473	+	0.522772i	$0.824898\pi$
$374$	−10.7246	−	18.5756i	−0.554557	−	0.960521i
$375$	−23.5339	−	11.4435i	−1.21529	−	0.590939i
$376$	−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	$0.628280\pi$
$380$	−9.43297	+	2.45338i	−0.483901	+	0.125856i
$381$	1.03283			0.0529137
$382$	−9.19867	−	5.31085i	−0.470645	−	0.271727i
$383$	23.2139	+	13.4026i	1.18617	+	0.684838i	0.957435	−	0.288649i	$-0.0932061\pi$
$383$	23.2139	+	13.4026i	1.18617	+	0.684838i	0.228740	+	0.973488i	$0.426539\pi$
$384$	−1.17030	−	2.02701i	−0.0597215	−	0.103441i
$385$	0.231103	+	9.76212i	0.0117781	+	0.497523i
$386$	−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	$-0.378222\pi$
$390$	6.85249	+	3.74291i	0.346989	+	0.189529i
$391$	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
$395$	16.6234	−	30.4339i	0.836412	−	1.53130i
$396$	−4.03665	+	6.99169i	−0.202850	+	0.351346i
$397$	−16.5136	−	9.53415i	−0.828795	−	0.478505i	0.0246449	−	0.999696i	$-0.492155\pi$
$397$	−16.5136	−	9.53415i	−0.828795	−	0.478505i	−0.853440	+	0.521191i	$0.825488\pi$
$398$		−	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
$405$	−11.0327	+	20.1986i	−0.548220	+	1.00368i
$406$	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
$415$	0.0165965	+	0.701059i	0.000814688	+	0.0344136i
$416$	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	$0.851746\pi$
$420$	−7.01434	+	0.166053i	−0.342265	+	0.00810258i
$421$	−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	−0.173256	−	0.984877i	$-0.555429\pi$
$433$	12.3405	−	7.12477i	0.593045	−	0.342394i	0.766300	+	0.642482i	$0.222095\pi$
$434$	−1.85378	+	3.21085i	−0.0889845	+	0.154126i
$435$	−0.657832	−	27.7878i	−0.0315406	−	1.33232i
$436$	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	$0.247336\pi$
$440$	−0.172388	−	7.28193i	−0.00821828	−	0.347152i
$441$	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	$-0.299994\pi$
$443$	33.3040	−	19.2281i	1.58232	−	0.913553i	0.994520	−	0.104548i	$-0.0333395\pi$
$444$	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	$0.280714\pi$
$450$	0.586389	+	12.3780i	0.0276427	+	0.583506i
$451$	−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	$0.111302\pi$
$457$			14.6472i			0.685166i	−0.939488	+	0.342583i	$0.888698\pi$
$458$	18.0195	+	10.4036i	0.841997	+	0.486127i
$459$	−4.01954	+	6.96205i	−0.187616	+	0.324961i
$460$	4.22169	+	2.30594i	0.196837	+	0.107515i
$461$	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	$0.194212\pi$
$463$			24.6580i			1.14596i	−0.819571	+	0.572978i	$0.805788\pi$
$464$	−5.31085			−0.246550
$465$	12.7030	+	6.93854i	0.589089	+	0.321767i
$466$	−0.506444	−	0.877186i	−0.0234605	−	0.0406349i
$467$		−	22.4281i		−	1.03785i	−0.854820	−	0.518925i	$-0.826332\pi$
$467$		−	22.4281i		−	1.03785i	0.854820	−	0.518925i	$-0.173668\pi$
$468$		−	3.69744i		−	0.170914i
$469$	8.76164	+	15.1756i	0.404575	+	0.700744i
$470$	2.08304	−	0.0493126i	0.0960834	−	0.00227462i
$471$	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
$475$	5.29657	−	21.1411i	0.243023	−	0.970020i
$476$	−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	$0.711469\pi$
$480$	5.23226	−	0.123866i	0.238819	−	0.00565366i
$481$	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
$485$	−23.6079	−	12.8949i	−1.07198	−	0.585528i
$486$	20.4285			0.926656
$487$			40.7859i			1.84819i	0.382168	+	0.924093i	$0.375177\pi$
$487$			40.7859i			1.84819i	−0.382168	+	0.924093i	$0.624823\pi$
$488$	10.1234	−	5.84474i	0.458264	−	0.264579i
$489$	18.1865	−	31.4999i	0.822420	−	1.42447i
$490$	−10.2100	−	5.57684i	−0.461242	−	0.251936i
$491$	−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	$0.225092\pi$
$500$	−6.26303	−	9.26145i	−0.280091	−	0.414185i
$501$	51.6413			2.30716
$502$		−	19.6334i		−	0.876280i
$503$	−20.9078	+	12.0711i	−0.932232	+	0.538224i	−0.887517	−	0.460776i	$-0.847571\pi$
$503$	−20.9078	+	12.0711i	−0.932232	+	0.538224i	−0.0447150	+	0.999000i	$0.514238\pi$
$504$	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	$0.936216\pi$
$510$	0.815604	+	34.4523i	0.0361156	+	1.52557i
$511$	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
$515$	0.465034	+	19.6437i	0.0204918	+	0.865606i
$516$	−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	−0.867981	−	0.496598i	$-0.834582\pi$
$523$	−19.9398	+	11.5122i	−0.871905	+	0.503394i	−0.00392391	+	0.999992i	$0.501249\pi$
$524$	−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
$530$	20.3201	−	0.481046i	0.882648	−	0.0208953i
$531$	−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
$535$	−0.529205	−	22.3544i	−0.0228795	−	0.966466i
$536$	−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
$545$	−17.5213	+	32.0778i	−0.750528	+	1.37406i
$546$	−2.34059	+	4.05403i	−0.100168	+	0.173496i
$547$	−11.4797	+	6.62783i	−0.490838	+	0.283385i	−0.724922	−	0.688831i	$-0.758124\pi$
$547$	−11.4797	+	6.62783i	−0.490838	+	0.283385i	0.234084	+	0.972216i	$0.424791\pi$
$548$	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
$555$	−13.2242	+	24.2107i	−0.561334	+	1.02769i
$556$	6.69534	−	11.5967i	0.283946	−	0.491808i
$557$	20.9834	−	12.1148i	0.889094	−	0.513319i	0.0154482	−	0.999881i	$-0.495082\pi$
$557$	20.9834	−	12.1148i	0.889094	−	0.513319i	0.873646	+	0.486562i	$0.161749\pi$
$558$		−	6.85425i		−	0.290164i
$559$	−11.3949			−0.481952
$560$	−2.63080	−	1.43697i	−0.111171	−	0.0607231i
$561$	−25.1020	−	43.4779i	−1.05981	−	1.83564i
$562$		−	6.59533i		−	0.278207i
$563$			27.1643i			1.14484i	0.819961	+	0.572420i	$0.193995\pi$
$563$			27.1643i			1.14484i	−0.819961	+	0.572420i	$0.806005\pi$
$564$	−1.09051	−	1.88882i	−0.0459188	−	0.0795337i
$565$	−0.336846	−	14.2289i	−0.0141712	−	0.598614i
$566$	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	$0.128713\pi$
$570$	−22.0788	+	5.74237i	−0.924777	+	0.240521i
$571$	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
$575$	−9.05038	+	5.81298i	−0.377427	+	0.242418i
$576$	−1.23919	−	2.14634i	−0.0516330	−	0.0894310i
$577$			40.9572i			1.70507i	0.522669	+	0.852536i	$0.324936\pi$
$577$			40.9572i			1.70507i	−0.522669	+	0.852536i	$0.675064\pi$
$578$			26.3569i			1.09630i
$579$	−17.8849	−	30.9776i	−0.743272	−	1.28738i
$580$	5.69265	−	10.4221i	0.236375	−	0.432753i
$581$	−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
$585$	7.25589	+	3.96325i	0.299994	+	0.163860i
$586$	0.534146	−	0.925168i	0.0220654	−	0.0382183i
$587$	−15.2935	−	8.82971i	−0.631231	−	0.364441i	0.149998	−	0.988686i	$-0.452073\pi$
$587$	−15.2935	−	8.82971i	−0.631231	−	0.364441i	−0.781229	+	0.624245i	$0.785407\pi$
$588$			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	−0.823515	−	0.567294i	$-0.807990\pi$
$593$	−18.1171	+	10.4599i	−0.743982	+	0.429538i	0.0795335	+	0.996832i	$0.474657\pi$
$594$	1.98852	−	3.44422i	0.0815901	−	0.141318i
$595$	9.46187	−	17.3227i	0.387899	−	0.710162i
$596$	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
$605$	0.869046	−	0.0205733i	0.0353317	−	0.000836423i
$606$	−14.6289	+	25.3380i	−0.594259	+	1.02929i
$607$			0.939196i			0.0381208i	0.999818	+	0.0190604i	$0.00606748\pi$
$607$			0.939196i			0.0381208i	−0.999818	+	0.0190604i	$0.993933\pi$
$608$	0.997038	+	4.24334i	0.0404352	+	0.172090i
$609$	16.6643			0.675273
$610$	0.618614	+	26.1312i	0.0250469	+	1.05802i
$611$	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	0.635180	−	0.772364i	$-0.280926\pi$
$613$	7.02861	+	4.05797i	0.283883	+	0.163900i	−0.351297	+	0.936264i	$0.614259\pi$
$614$	−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	−0.329445	−	0.944175i	$-0.606862\pi$
$617$	8.03585	−	4.63950i	0.323511	−	0.186779i	0.652957	+	0.757395i	$0.273528\pi$
$618$	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
$625$	24.8880	−	2.36337i	0.995522	−	0.0945346i
$626$	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
$630$	−7.42727	+	0.175829i	−0.295910	+	0.00700519i
$631$	−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
$640$	1.96241	+	1.07189i	0.0775710	+	0.0423702i
$641$	−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	0.759108	−	0.650965i	$-0.225636\pi$
$643$	14.5782	+	8.41674i	0.574909	+	0.331924i	−0.184199	+	0.982889i	$0.558969\pi$
$644$	−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	$-0.949044\pi$
$647$		−	8.10908i		−	0.318801i	0.987214	−	0.159400i	$-0.0509561\pi$
$648$	8.91380	+	5.14638i	0.350167	+	0.202169i
$649$	−0.272864	+	0.472614i	−0.0107108	+	0.0185517i
$650$	−7.45102	+	0.352980i	−0.292253	+	0.0138450i
$651$	−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	$-0.771017\pi$
$653$		−	33.6755i		−	1.31782i	0.752220	−	0.658912i	$-0.228983\pi$
$654$	38.2597			1.49607
$655$	7.63351	−	13.9754i	0.298266	−	0.546063i
$656$	−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	$0.702305\pi$
$660$	−0.403491	−	17.0440i	−0.0157059	−	0.663439i
$661$	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
$665$	12.5961	+	3.47455i	0.488455	+	0.134737i
$666$	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
$670$	29.2201	−	0.691739i	1.12887	−	0.0267242i
$671$	−19.0392	−	32.9768i	−0.735000	−	1.27306i
$672$			3.13779i			0.121043i
$673$		−	21.0671i		−	0.812076i	−0.913856	−	0.406038i	$-0.866910\pi$
$673$		−	21.0671i		−	0.812076i	0.913856	−	0.406038i	$-0.133090\pi$
$674$	16.1078	+	27.8995i	0.620448	+	1.07465i
$675$	−0.288865	−	6.09763i	−0.0111184	−	0.234698i
$676$	−10.7743			−0.414396
$677$			5.16536i			0.198521i	0.995061	+	0.0992604i	$0.0316477\pi$
$677$			5.16536i			0.198521i	−0.995061	+	0.0992604i	$0.968352\pi$
$678$	−12.9022	+	7.44910i	−0.495507	+	0.286081i
$679$	8.06373	−	13.9668i	0.309457	−	0.535996i
$680$	−7.05796	+	12.9217i	−0.270660	+	0.495523i
$681$	−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	$-0.893464\pi$
$683$		−	17.1692i		−	0.656961i	0.944511	−	0.328480i	$-0.106536\pi$
$684$	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
$690$	9.88127	+	5.39726i	0.376174	+	0.205470i
$691$	−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
$700$	5.63985	−	3.62242i	0.213166	−	0.136915i
$701$	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
$705$	4.87555	−	0.115421i	0.183624	−	0.00434700i
$706$	−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	$0.882722\pi$
$720$	5.54028	−	0.131157i	0.206474	−	0.00488795i
$721$	−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
$725$	14.3505	+	22.3426i	0.532963	+	0.829784i
$726$	−0.454962	−	0.788018i	−0.0168852	−	0.0292461i
$727$	−17.0362	−	9.83583i	−0.631836	−	0.364791i	0.149627	−	0.988743i	$-0.452193\pi$
$727$	−17.0362	−	9.83583i	−0.631836	−	0.364791i	−0.781463	+	0.623952i	$0.785526\pi$
$728$	−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	$-0.820317\pi$
$733$		−	28.9684i		−	1.06997i	0.844861	−	0.534987i	$-0.179683\pi$
$734$	−18.3372			−0.676840
$735$	−23.8976	−	13.0531i	−0.881475	−	0.481471i
$736$	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	0.581643	−	0.813444i	$-0.302410\pi$
$743$	4.57940	+	2.64392i	0.168002	+	0.0969959i	−0.413641	+	0.910440i	$0.635743\pi$
$744$	3.23659	−	5.60594i	0.118659	−	0.205524i
$745$	−23.4127	+	42.8638i	−0.857774	+	1.57041i
$746$	−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
$750$	−14.6592	−	21.6773i	−0.535279	−	0.791543i
$751$	−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
$755$	−41.0071	+	0.970779i	−1.49240	+	0.0353303i
$756$	−0.818361	−	1.41744i	−0.0297635	−	0.0515519i
$757$	−26.3922	−	15.2376i	−0.959242	−	0.553818i	−0.0633020	−	0.997994i	$-0.520163\pi$
$757$	−26.3922	−	15.2376i	−0.959242	−	0.553818i	−0.895940	+	0.444176i	$0.853496\pi$
$758$	−13.2242	−	7.63500i	−0.480325	−	0.277316i
$759$	−16.4024			−0.595368
$760$	−9.39588	−	2.59180i	−0.340824	−	0.0940143i
$761$	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
$765$	0.863618	+	36.4805i	0.0312242	+	1.31896i
$766$	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	$0.874564\pi$
$770$	−4.68092	+	8.56979i	−0.168689	+	0.308834i
$771$	6.04225			0.217606
$772$		−	15.2824i		−	0.550024i
$773$	−22.4406	+	12.9561i	−0.807131	+	0.465998i	−0.845959	−	0.533248i	$-0.820971\pi$
$773$	−22.4406	+	12.9561i	−0.807131	+	0.465998i	0.0388273	+	0.999246i	$0.487638\pi$
$774$	−9.46489	+	16.3937i	−0.340208	+	0.589258i
$775$	−13.8126	+	0.654349i	−0.496163	+	0.0235049i
$776$	−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
$785$	−14.6035	−	7.97658i	−0.521220	−	0.284696i
$786$	−16.6686			−0.594551
$787$			55.7022i			1.98557i	0.119912	+	0.992785i	$0.461739\pi$
$787$			55.7022i			1.98557i	−0.119912	+	0.992785i	$0.538261\pi$
$788$	−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
$795$	47.5611	−	1.12593i	1.68682	−	0.0399327i
$796$	5.20281	−	9.01152i	0.184409	−	0.319405i
$797$		−	35.0111i		−	1.24016i	−0.784540	−	0.620078i	$-0.787101\pi$
$797$		−	35.0111i		−	1.24016i	0.784540	−	0.620078i	$-0.212899\pi$
$798$	−3.12850	−	13.3147i	−0.110748	−	0.471335i
$799$	6.13568			0.217065
$800$	−4.20698	+	2.70210i	−0.148739	+	0.0955337i
$801$	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
$815$	0.822387	+	34.7388i	0.0288070	+	1.21685i
$816$	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
$820$	12.4840	−	0.295540i	0.435961	−	0.0103207i
$821$	−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	−0.891445	−	0.453130i	$-0.850308\pi$
$823$	−27.1028	+	15.6478i	−0.944745	+	0.545449i	−0.0533007	+	0.998579i	$0.516974\pi$
$824$	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	−0.466068	−	0.884749i	$-0.654330\pi$
$827$	1.93001	−	1.11429i	0.0671130	−	0.0387477i	0.533181	+	0.846001i	$0.320996\pi$
$828$		−	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	$0.506501\pi$
$830$	−0.336156	+	0.615433i	−0.0116682	+	0.0213620i
$831$	−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	$-0.00512942\pi$
$840$	−6.15763	−	3.36337i	−0.212458	−	0.116047i
$841$	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
$845$	11.5489	−	21.1436i	0.397293	−	0.727362i
$846$	−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
$850$	−17.7922	−	27.7012i	−0.610269	−	0.950144i
$851$	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	0.923460	−	0.383694i	$-0.125348\pi$
$853$	30.7512	+	17.7542i	1.05290	+	0.607893i	0.129442	+	0.991587i	$0.458682\pi$
$854$	−15.6709			−0.536246
$855$	−23.3785	+	6.08042i	−0.799528	+	0.207946i
$856$	−10.0000			−0.341793
$857$	−6.20920	−	3.58488i	−0.212102	−	0.122457i	0.390186	−	0.920736i	$-0.372411\pi$
$857$	−6.20920	−	3.58488i	−0.212102	−	0.122457i	−0.602288	+	0.798279i	$0.705744\pi$
$858$	−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	$0.956574\pi$
$860$	−0.404205	−	17.0742i	−0.0137833	−	0.582226i
$861$	8.76164	+	15.1756i	0.298596	+	0.517183i
$862$			20.8978i			0.711783i
$863$		−	27.8800i		−	0.949048i	−0.880243	−	0.474524i	$-0.842620\pi$
$863$		−	27.8800i		−	0.949048i	0.880243	−	0.474524i	$-0.157380\pi$
$864$	0.610447	+	1.05732i	0.0207678	+	0.0359709i
$865$	−0.749222	−	0.409234i	−0.0254743	−	0.0139144i
$866$	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
$870$	13.3242	−	24.3938i	0.451732	−	0.827029i
$871$	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	0.110060	−	0.993925i	$-0.464896\pi$
$877$	−20.6018	−	11.8945i	−0.695675	−	0.401648i	−0.805735	+	0.592277i	$0.798229\pi$
$878$	−9.09900	+	5.25331i	−0.307076	+	0.177291i
$879$	1.25022	−	2.16544i	0.0421688	−	0.0730386i
$880$	3.49167	−	6.39253i	0.117704	−	0.215492i
$881$	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	0.0536549	−	0.998560i	$-0.482913\pi$
$883$	28.0887	−	16.2170i	0.945260	−	0.545746i	0.891605	+	0.452813i	$0.149580\pi$
$884$	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	−0.629249	−	0.777204i	$-0.716637\pi$
$887$	−8.06497	+	4.65631i	−0.270795	+	0.156344i	0.358454	+	0.933547i	$0.383304\pi$
$888$	10.6844	+	6.16862i	0.358544	+	0.207005i
$889$	−0.295782	−	0.512309i	−0.00992021	−	0.0171823i
$890$	0.519350	+	21.9381i	0.0174087	+	0.735368i
$891$	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
$895$	27.2307	−	0.644644i	0.910222	−	0.0215481i
$896$	−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	0.334193	−	0.942505i	$-0.391536\pi$
$907$	−9.48497	−	5.47615i	−0.314943	−	0.181833i	−0.649136	+	0.760672i	$0.724870\pi$
$908$	−3.59176	+	2.07370i	−0.119197	+	0.0688182i
$909$	−15.4901	+	26.8296i	−0.513774	+	0.889883i
$910$	−0.105841	−	4.47088i	−0.00350860	−	0.148208i
$911$	−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
$915$	1.44792	+	61.1624i	0.0478669	+	2.02197i
$916$	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
$925$	−1.24712	−	26.3254i	−0.0410051	−	0.865573i
$926$	−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
$935$	42.0922	+	22.9912i	1.37656	+	0.751894i
$936$	1.84872	−	3.20208i	0.0604273	−	0.104663i
$937$	−2.18413	+	1.26101i	−0.0713525	+	0.0411954i	−0.535252	−	0.844693i	$-0.679783\pi$
$937$	−2.18413	+	1.26101i	−0.0713525	+	0.0411954i	0.463899	+	0.885888i	$0.346450\pi$
$938$			17.5233i			0.572155i
$939$	13.4600			0.439251
$940$	1.82862	+	0.998813i	0.0596430	+	0.0325777i
$941$	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
$945$	3.65880	−	0.0866163i	0.119021	−	0.00281763i
$946$	12.4403	+	21.5472i	0.404468	+	0.700560i
$947$	−46.8341	−	27.0397i	−1.52190	−	0.878672i	−0.999665	−	0.0258727i	$-0.991764\pi$
$947$	−46.8341	−	27.0397i	−1.52190	−	0.878672i	−0.522239	−	0.852799i	$-0.674903\pi$
$948$	−31.4359	−	18.1495i	−1.02099	−	0.589469i
$949$	−22.7545			−0.738643
$950$	15.1575	−	15.6604i	0.491775	−	0.508092i
$951$	40.7948			1.32286
$952$	−7.64464	−	4.41364i	−0.247764	−	0.143047i
$953$	−26.1570	−	15.1018i	−0.847309	−	0.489194i	0.0124327	−	0.999923i	$-0.496042\pi$
$953$	−26.1570	−	15.1018i	−0.847309	−	0.489194i	−0.859742	+	0.510728i	$0.829376\pi$
$954$	−11.2642	−	19.5102i	−0.364692	−	0.631665i
$955$	23.7442	−	0.562106i	0.768344	−	0.0181893i
$956$	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
$960$	4.59321	+	2.50886i	0.148245	+	0.0809731i
$961$	−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
$965$	29.9903	+	16.3810i	0.965421	+	0.527324i
$966$	−3.37513	+	5.84590i	−0.108593	+	0.188089i
$967$	−22.4127	−	12.9400i	−0.720745	−	0.416122i	0.0942818	−	0.995546i	$-0.469945\pi$
$967$	−22.4127	−	12.9400i	−0.720745	−	0.416122i	−0.815027	+	0.579423i	$0.803278\pi$
$968$		−	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
$975$	−17.4398	+	0.826183i	−0.558521	+	0.0264590i
$976$	11.6895			0.374171
$977$		−	49.3857i		−	1.57999i	−0.613114	−	0.789995i	$-0.710083\pi$
$977$		−	49.3857i		−	1.57999i	0.613114	−	0.789995i	$-0.289917\pi$
$978$	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	0.186416	−	0.982471i	$-0.440313\pi$
$983$	−17.9094	−	10.3400i	−0.571221	−	0.329795i	−0.757637	+	0.652676i	$0.773646\pi$
$984$	−6.53563	−	11.3201i	−0.208348	−	0.360870i
$985$	−0.217432	−	9.18465i	−0.00692796	−	0.292647i
$986$	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
$990$	−0.427244	−	18.0474i	−0.0135787	−	0.573584i
$991$	−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	0.319494	−	0.947588i	$-0.396487\pi$
$997$	41.0440	−	23.6968i	1.29988	−	0.750484i	0.980383	+	0.197104i	$0.0631538\pi$
$998$	−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.49.10	yes	20
3.2	odd	2		1710.2.t.d.1189.5		20
5.2	odd	4		950.2.e.n.201.5		10
5.3	odd	4		950.2.e.o.201.1		10
5.4	even	2	inner	190.2.i.a.49.1	✓	20
15.14	odd	2		1710.2.t.d.1189.6		20
19.7	even	3	inner	190.2.i.a.159.1	yes	20
57.26	odd	6		1710.2.t.d.919.6		20
95.7	odd	12		950.2.e.n.501.5		10
95.64	even	6	inner	190.2.i.a.159.10	yes	20
95.83	odd	12		950.2.e.o.501.1		10
285.254	odd	6		1710.2.t.d.919.5		20

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

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(2.02701 + 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23544 + 0.0529205i) q^{5} +(1.17030 + 2.02701i) q^{6} -1.34059i q^{7} +1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(2.02701 + 1.17030i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.23544 + 0.0529205i) q^{5} +(1.17030 + 2.02701i) q^{6} -1.34059i q^{7} +1.00000i q^{8} +(1.23919 + 2.14634i) q^{9} +(-1.96241 - 1.07189i) q^{10} +3.25749 q^{11} +2.34059i q^{12} +(-1.29200 + 0.745938i) q^{13} +(0.670297 - 1.16099i) q^{14} +(-4.59321 - 2.50886i) 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} +(4.99440 - 0.236602i) 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} +(0.0709450 + 2.99682i) q^{35} +(-1.23919 + 2.14634i) q^{36} -5.27098i q^{37} +(3.17632 - 2.98513i) q^{38} -3.49188 q^{39} +(-0.0529205 - 2.23544i) 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} +(-7.28193 + 0.172388i) q^{55} +1.34059 q^{56} +(7.43448 - 6.98698i) q^{57} +5.31085i q^{58} +(-0.0837650 + 0.145085i) q^{59} +(-0.123866 - 5.23226i) 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} +(-1.43697 + 2.63080i) 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} +(1.07189 - 1.96241i) q^{80} +(5.14638 - 8.91380i) q^{81} +(-4.83640 + 2.79230i) q^{82} -0.313611i q^{83} +3.13779 q^{84} +(12.9217 + 7.05796i) q^{85} +(3.81898 + 6.61466i) q^{86} +12.4306i q^{87} +3.25749i q^{88} +(-4.90689 - 8.49898i) q^{89} +(-0.131157 - 5.54028i) q^{90} +(1.00000 + 1.73205i) q^{91} +(-1.86306 - 1.07564i) q^{92} +(-5.60594 - 3.23659i) q^{93} -0.931824 q^{94} +(-2.59180 + 9.39588i) 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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