LMFDB - Embedded newform 273.2.bj.c.142.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(25,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 4, 3]))

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

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

chi := DirichletCharacter("273.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bj (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$8$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 11x^{14} + 88x^{12} - 303x^{10} + 758x^{8} - 968x^{6} + 867x^{4} - 30x^{2} + 1 $ x^16 - 11x^14 + 88x^12 - 303x^10 + 758x^8 - 968x^6 + 867x^4 - 30*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 2^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			142.7
Root			$1.34967 - 0.779232i$ of defining polynomial
Character	$\chi$	$=$	273.142
Dual form			273.2.bj.c.25.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.34967 + 0.779232i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.214404 + 0.371358i) q^{4} +(-1.85159 - 1.06902i) q^{5} -1.55846i q^{6} +(1.34967 - 2.27561i) q^{7} -2.44865i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(1.34967 + 0.779232i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.214404 + 0.371358i) q^{4} +(-1.85159 - 1.06902i) q^{5} -1.55846i q^{6} +(1.34967 - 2.27561i) q^{7} -2.44865i q^{8} +(-0.500000 + 0.866025i) q^{9} +(-1.66602 - 2.88564i) q^{10} +(4.76616 - 2.75174i) q^{11} +(0.214404 - 0.371358i) q^{12} +(-2.90324 + 2.13803i) q^{13} +(3.59483 - 2.01961i) q^{14} +2.13803i q^{15} +(2.33687 - 4.04758i) q^{16} +(3.71730 + 6.43855i) q^{17} +(-1.34967 + 0.779232i) q^{18} +(-3.20126 - 1.84825i) q^{19} -0.916805i q^{20} +(-2.64557 - 0.0310431i) q^{21} +8.57698 q^{22} +(-1.88525 + 3.26535i) q^{23} +(-2.12059 + 1.22432i) q^{24} +(-0.214404 - 0.371358i) q^{25} +(-5.58444 + 0.623342i) q^{26} +1.00000 q^{27} +(1.13444 + 0.0133115i) q^{28} +0.903241 q^{29} +(-1.66602 + 2.88564i) q^{30} +(2.62251 - 1.51411i) q^{31} +(2.06682 - 1.19328i) q^{32} +(-4.76616 - 2.75174i) q^{33} +11.5865i q^{34} +(-4.93170 + 2.77068i) q^{35} -0.428808 q^{36} +(-0.824689 - 0.476134i) q^{37} +(-2.88043 - 4.98905i) q^{38} +(3.30321 + 1.44526i) q^{39} +(-2.61764 + 4.53389i) q^{40} +4.86183i q^{41} +(-3.54645 - 2.10341i) q^{42} +4.89360 q^{43} +(2.04376 + 1.17997i) q^{44} +(1.85159 - 1.06902i) q^{45} +(-5.08892 + 2.93809i) q^{46} +(4.55629 + 2.63057i) q^{47} -4.67374 q^{48} +(-3.35679 - 6.14264i) q^{49} -0.668281i q^{50} +(3.71730 - 6.43855i) q^{51} +(-1.41644 - 0.619740i) q^{52} +(6.49807 + 11.2550i) q^{53} +(1.34967 + 0.779232i) q^{54} -11.7666 q^{55} +(-5.57216 - 3.30486i) q^{56} +3.69650i q^{57} +(1.21908 + 0.703834i) q^{58} +(7.30419 - 4.21708i) q^{59} +(-0.793977 + 0.458403i) q^{60} +(1.81406 - 3.14204i) q^{61} +4.71936 q^{62} +(1.29590 + 2.30665i) q^{63} -5.62811 q^{64} +(7.66121 - 0.855154i) q^{65} +(-4.28849 - 7.42788i) q^{66} +(-1.52883 + 0.882669i) q^{67} +(-1.59401 + 2.76090i) q^{68} +3.77050 q^{69} +(-8.81516 - 0.103437i) q^{70} +11.7994i q^{71} +(2.12059 + 1.22432i) q^{72} +(6.43323 - 3.71423i) q^{73} +(-0.742038 - 1.28525i) q^{74} +(-0.214404 + 0.371358i) q^{75} -1.58509i q^{76} +(0.170845 - 14.5599i) q^{77} +(3.33205 + 4.52459i) q^{78} +(-7.64418 + 13.2401i) q^{79} +(-8.65386 + 4.99631i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-3.78849 + 6.56186i) q^{82} -10.4833i q^{83} +(-0.555692 - 0.989110i) q^{84} -15.8954i q^{85} +(6.60474 + 3.81325i) q^{86} +(-0.451620 - 0.782230i) q^{87} +(-6.73804 - 11.6706i) q^{88} +(-4.49716 - 2.59644i) q^{89} +3.33205 q^{90} +(0.946917 + 9.49228i) q^{91} -1.61682 q^{92} +(-2.62251 - 1.51411i) q^{93} +(4.09965 + 7.10081i) q^{94} +(3.95162 + 6.84441i) q^{95} +(-2.06682 - 1.19328i) q^{96} -7.06195i q^{97} +(0.255983 - 10.9062i) q^{98} +5.50349i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 8 q^{3} + 6 q^{4} - 8 q^{9}+O(q^{10}) $ 16 * q - 8 * q^3 + 6 * q^4 - 8 * q^9	$ 16 q - 8 q^{3} + 6 q^{4} - 8 q^{9} - 4 q^{10} + 6 q^{12} + 4 q^{13} + 40 q^{14} - 10 q^{16} - 8 q^{17} - 8 q^{22} - 8 q^{23} - 6 q^{25} - 4 q^{26} + 16 q^{27} - 36 q^{29} - 4 q^{30} - 14 q^{35} - 12 q^{36} - 26 q^{38} - 2 q^{39} + 6 q^{40} - 14 q^{42} + 32 q^{43} + 20 q^{48} - 46 q^{49} - 8 q^{51} + 40 q^{52} + 36 q^{53} - 8 q^{55} + 54 q^{56} + 12 q^{61} - 80 q^{62} - 56 q^{64} + 34 q^{65} + 4 q^{66} + 10 q^{68} + 16 q^{69} + 18 q^{74} - 6 q^{75} - 22 q^{77} + 8 q^{78} + 8 q^{79} - 8 q^{81} + 12 q^{82} + 18 q^{87} - 98 q^{88} + 8 q^{90} + 16 q^{91} + 40 q^{92} + 46 q^{94} + 38 q^{95}+O(q^{100}) $ 16 * q - 8 * q^3 + 6 * q^4 - 8 * q^9 - 4 * q^10 + 6 * q^12 + 4 * q^13 + 40 * q^14 - 10 * q^16 - 8 * q^17 - 8 * q^22 - 8 * q^23 - 6 * q^25 - 4 * q^26 + 16 * q^27 - 36 * q^29 - 4 * q^30 - 14 * q^35 - 12 * q^36 - 26 * q^38 - 2 * q^39 + 6 * q^40 - 14 * q^42 + 32 * q^43 + 20 * q^48 - 46 * q^49 - 8 * q^51 + 40 * q^52 + 36 * q^53 - 8 * q^55 + 54 * q^56 + 12 * q^61 - 80 * q^62 - 56 * q^64 + 34 * q^65 + 4 * q^66 + 10 * q^68 + 16 * q^69 + 18 * q^74 - 6 * q^75 - 22 * q^77 + 8 * q^78 + 8 * q^79 - 8 * q^81 + 12 * q^82 + 18 * q^87 - 98 * q^88 + 8 * q^90 + 16 * q^91 + 40 * q^92 + 46 * q^94 + 38 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.34967	+	0.779232i	0.954360	+	0.551000i	0.894433	−	0.447203i	$-0.147580\pi$
$2$	1.34967	+	0.779232i	0.954360	+	0.551000i	0.0599273	+	0.998203i	$0.480913\pi$
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$4$	0.214404	+	0.371358i	0.107202	+	0.185679i
$5$	−1.85159	−	1.06902i	−0.828057	−	0.478079i	0.0251298	−	0.999684i	$-0.492000\pi$
$5$	−1.85159	−	1.06902i	−0.828057	−	0.478079i	−0.853187	+	0.521605i	$0.825333\pi$
$6$		−	1.55846i		−	0.636240i
$7$	1.34967	−	2.27561i	0.510127	−	0.860099i
$7$	1.34967	−	2.27561i	0.510127	−	0.860099i
$8$		−	2.44865i		−	0.865727i
$9$	−0.500000	+	0.866025i	−0.166667	+	0.288675i
$10$	−1.66602	−	2.88564i	−0.526843	−	0.912519i
$11$	4.76616	−	2.75174i	1.43705	−	0.829682i	0.439407	−	0.898288i	$-0.355189\pi$
$11$	4.76616	−	2.75174i	1.43705	−	0.829682i	0.997644	+	0.0686064i	$0.0218553\pi$
$12$	0.214404	−	0.371358i	0.0618930	−	0.107202i
$13$	−2.90324	+	2.13803i	−0.805214	+	0.592984i
$13$	−2.90324	+	2.13803i	−0.805214	+	0.592984i
$14$	3.59483	−	2.01961i	0.960759	−	0.539764i
$15$			2.13803i			0.552038i
$16$	2.33687	−	4.04758i	0.584217	−	1.01189i
$17$	3.71730	+	6.43855i	0.901577	+	1.56158i	0.825447	+	0.564479i	$0.190923\pi$
$17$	3.71730	+	6.43855i	0.901577	+	1.56158i	0.0761300	+	0.997098i	$0.475744\pi$
$18$	−1.34967	+	0.779232i	−0.318120	+	0.183667i
$19$	−3.20126	−	1.84825i	−0.734420	−	0.424017i	0.0856172	−	0.996328i	$-0.472714\pi$
$19$	−3.20126	−	1.84825i	−0.734420	−	0.424017i	−0.820037	+	0.572311i	$0.806047\pi$
$20$		−	0.916805i		−	0.205004i
$21$	−2.64557	−	0.0310431i	−0.577311	−	0.00677416i
$22$	8.57698			1.82862
$23$	−1.88525	+	3.26535i	−0.393102	+	0.680872i	−0.992857	−	0.119312i	$-0.961931\pi$
$23$	−1.88525	+	3.26535i	−0.393102	+	0.680872i	0.599755	+	0.800184i	$0.295265\pi$
$24$	−2.12059	+	1.22432i	−0.432863	+	0.249914i
$25$	−0.214404	−	0.371358i	−0.0428808	−	0.0742716i
$26$	−5.58444	+	0.623342i	−1.09520	+	0.122247i
$27$	1.00000			0.192450
$28$	1.13444	+	0.0133115i	0.214389	+	0.00251564i
$29$	0.903241			0.167728			0.0838638	−	0.996477i	$-0.473274\pi$
$29$	0.903241			0.167728			0.0838638	+	0.996477i	$0.473274\pi$
$30$	−1.66602	+	2.88564i	−0.304173	+	0.526843i
$31$	2.62251	−	1.51411i	0.471017	−	0.271942i	−0.245648	−	0.969359i	$-0.579001\pi$
$31$	2.62251	−	1.51411i	0.471017	−	0.271942i	0.716665	+	0.697417i	$0.245667\pi$
$32$	2.06682	−	1.19328i	0.365366	−	0.210944i
$33$	−4.76616	−	2.75174i	−0.829682	−	0.479017i
$34$			11.5865i			1.98708i
$35$	−4.93170	+	2.77068i	−0.833610	+	0.468330i
$36$	−0.428808			−0.0714679
$37$	−0.824689	−	0.476134i	−0.135578	−	0.0782760i	0.430677	−	0.902506i	$-0.358275\pi$
$37$	−0.824689	−	0.476134i	−0.135578	−	0.0782760i	−0.566255	+	0.824230i	$0.691608\pi$
$38$	−2.88043	−	4.98905i	−0.467267	−	0.809330i
$39$	3.30321	+	1.44526i	0.528937	+	0.231427i
$40$	−2.61764	+	4.53389i	−0.413886	+	0.716872i
$41$			4.86183i			0.759290i	0.925132	+	0.379645i	$0.123954\pi$
$41$			4.86183i			0.759290i	−0.925132	+	0.379645i	$0.876046\pi$
$42$	−3.54645	−	2.10341i	−0.547229	−	0.324563i
$43$	4.89360			0.746267			0.373133	−	0.927778i	$-0.378283\pi$
$43$	4.89360			0.746267			0.373133	+	0.927778i	$0.378283\pi$
$44$	2.04376	+	1.17997i	0.308109	+	0.177887i
$45$	1.85159	−	1.06902i	0.276019	−	0.159360i
$46$	−5.08892	+	2.93809i	−0.750321	+	0.433198i
$47$	4.55629	+	2.63057i	0.664603	+	0.383709i	0.794029	−	0.607880i	$-0.207980\pi$
$47$	4.55629	+	2.63057i	0.664603	+	0.383709i	−0.129426	+	0.991589i	$0.541313\pi$
$48$	−4.67374			−0.674596
$49$	−3.35679	−	6.14264i	−0.479541	−	0.877519i
$50$		−	0.668281i		−	0.0945092i
$51$	3.71730	−	6.43855i	0.520526	−	0.901577i
$52$	−1.41644	−	0.619740i	−0.196425	−	0.0859424i
$53$	6.49807	+	11.2550i	0.892579	+	1.54599i	0.836773	+	0.547550i	$0.184440\pi$
$53$	6.49807	+	11.2550i	0.892579	+	1.54599i	0.0558062	+	0.998442i	$0.482227\pi$
$54$	1.34967	+	0.779232i	0.183667	+	0.106040i
$55$	−11.7666			−1.58661
$56$	−5.57216	−	3.30486i	−0.744611	−	0.441631i
$57$			3.69650i			0.489613i
$58$	1.21908	+	0.703834i	0.160073	+	0.0924179i
$59$	7.30419	−	4.21708i	0.950925	−	0.549017i	0.0575566	−	0.998342i	$-0.481669\pi$
$59$	7.30419	−	4.21708i	0.950925	−	0.549017i	0.893368	+	0.449326i	$0.148336\pi$
$60$	−0.793977	+	0.458403i	−0.102502	+	0.0591795i
$61$	1.81406	−	3.14204i	0.232266	−	0.402297i	−0.726208	−	0.687475i	$-0.758719\pi$
$61$	1.81406	−	3.14204i	0.232266	−	0.402297i	0.958475	+	0.285178i	$0.0920526\pi$
$62$	4.71936			0.599360
$63$	1.29590	+	2.30665i	0.163268	+	0.290611i
$64$	−5.62811			−0.703514
$65$	7.66121	−	0.855154i	0.950257	−	0.106069i
$66$	−4.28849	−	7.42788i	−0.527877	−	0.914309i
$67$	−1.52883	+	0.882669i	−0.186776	+	0.107835i	−0.590472	−	0.807058i	$-0.701059\pi$
$67$	−1.52883	+	0.882669i	−0.186776	+	0.107835i	0.403696	+	0.914893i	$0.367725\pi$
$68$	−1.59401	+	2.76090i	−0.193302	+	0.334808i
$69$	3.77050			0.453915
$70$	−8.81516	−	0.103437i	−1.05361	−	0.0123631i
$71$			11.7994i			1.40033i	0.713979	+	0.700167i	$0.246891\pi$
$71$			11.7994i			1.40033i	−0.713979	+	0.700167i	$0.753109\pi$
$72$	2.12059	+	1.22432i	0.249914	+	0.144288i
$73$	6.43323	−	3.71423i	0.752953	−	0.434718i	−0.0738068	−	0.997273i	$-0.523515\pi$
$73$	6.43323	−	3.71423i	0.752953	−	0.434718i	0.826760	+	0.562555i	$0.190181\pi$
$74$	−0.742038	−	1.28525i	−0.0862601	−	0.149407i
$75$	−0.214404	+	0.371358i	−0.0247572	+	0.0428808i
$76$		−	1.58509i		−	0.181822i
$77$	0.170845	−	14.5599i	0.0194696	−	1.65925i
$78$	3.33205	+	4.52459i	0.377280	+	0.512309i
$79$	−7.64418	+	13.2401i	−0.860037	+	1.48963i	0.0118547	+	0.999930i	$0.496226\pi$
$79$	−7.64418	+	13.2401i	−0.860037	+	1.48963i	−0.871892	+	0.489698i	$0.837107\pi$
$80$	−8.65386	+	4.99631i	−0.967531	+	0.558604i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−3.78849	+	6.56186i	−0.418369	+	0.724636i
$83$		−	10.4833i		−	1.15069i	−0.817910	−	0.575346i	$-0.804867\pi$
$83$		−	10.4833i		−	1.15069i	0.817910	−	0.575346i	$-0.195133\pi$
$84$	−0.555692	−	0.989110i	−0.0606310	−	0.107921i
$85$		−	15.8954i		−	1.72410i
$86$	6.60474	+	3.81325i	0.712207	+	0.411193i
$87$	−0.451620	−	0.782230i	−0.0484188	−	0.0838638i
$88$	−6.73804	−	11.6706i	−0.718278	−	1.24409i
$89$	−4.49716	−	2.59644i	−0.476698	−	0.275222i	0.242341	−	0.970191i	$-0.422085\pi$
$89$	−4.49716	−	2.59644i	−0.476698	−	0.275222i	−0.719039	+	0.694969i	$0.755418\pi$
$90$	3.33205			0.351229
$91$	0.946917	+	9.49228i	0.0992638	+	0.995061i
$92$	−1.61682			−0.168565
$93$	−2.62251	−	1.51411i	−0.271942	−	0.157006i
$94$	4.09965	+	7.10081i	0.422847	+	0.732392i
$95$	3.95162	+	6.84441i	0.405428	+	0.702221i
$96$	−2.06682	−	1.19328i	−0.210944	−	0.121789i
$97$		−	7.06195i		−	0.717032i	−0.933524	−	0.358516i	$-0.883283\pi$
$97$		−	7.06195i		−	0.717032i	0.933524	−	0.358516i	$-0.116717\pi$
$98$	0.255983	−	10.9062i	0.0258582	−	1.10170i
$99$			5.50349i			0.553121i
$100$	0.0919380	−	0.159241i	0.00919380	−	0.0159241i
$101$	−5.05417	−	8.75407i	−0.502908	−	0.871063i	−0.999994	−	0.00336163i	$-0.998930\pi$
$101$	−5.05417	−	8.75407i	−0.502908	−	0.871063i	0.497086	−	0.867701i	$-0.334403\pi$
$102$	10.0342	−	5.79327i	0.993538	−	0.573619i
$103$	−5.93170	+	10.2740i	−0.584468	+	1.01233i	0.410474	+	0.911872i	$0.365363\pi$
$103$	−5.93170	+	10.2740i	−0.584468	+	1.01233i	−0.994942	+	0.100456i	$0.967970\pi$
$104$	5.23529	+	7.10901i	0.513362	+	0.697096i
$105$	4.86533	+	2.88564i	0.474808	+	0.281609i
$106$			20.2540i			1.96724i
$107$	5.77885	−	10.0093i	0.558662	−	0.967631i	−0.438946	−	0.898513i	$-0.644648\pi$
$107$	5.77885	−	10.0093i	0.558662	−	0.967631i	0.997608	−	0.0691181i	$-0.0220185\pi$
$108$	0.214404	+	0.371358i	0.0206310	+	0.0357340i
$109$	−10.7460	+	6.20423i	−1.02928	+	0.594257i	−0.916779	−	0.399394i	$-0.869220\pi$
$109$	−10.7460	+	6.20423i	−1.02928	+	0.594257i	−0.112504	+	0.993651i	$0.535887\pi$
$110$	−15.8811	−	9.16894i	−1.51420	−	0.874224i
$111$			0.952269i			0.0903853i
$112$	−6.05670	−	10.7807i	−0.572304	−	1.01868i
$113$	−5.09290			−0.479100			−0.239550	−	0.970884i	$-0.577000\pi$
$113$	−5.09290			−0.479100			−0.239550	+	0.970884i	$0.577000\pi$
$114$	−2.88043	+	4.98905i	−0.269777	+	0.467267i
$115$	6.98143	−	4.03073i	0.651021	−	0.375867i
$116$	0.193658	+	0.335426i	0.0179807	+	0.0311435i
$117$	−0.399972	−	3.58330i	−0.0369774	−	0.331276i
$118$	13.1443			1.21003
$119$	19.6687	+	0.230793i	1.80303	+	0.0211568i
$120$	5.23529			0.477914
$121$	9.64418	−	16.7042i	0.876743	−	1.51856i
$122$	4.89675	−	2.82714i	0.443331	−	0.255957i
$123$	4.21047	−	2.43091i	0.379645	−	0.219188i
$124$	1.12455	+	0.649261i	0.100988	+	0.0583054i
$125$			11.6070i			1.03816i
$126$	−0.0483796	+	4.12302i	−0.00430999	+	0.367308i
$127$	19.0019			1.68615			0.843074	−	0.537797i	$-0.180743\pi$
$127$	19.0019			1.68615			0.843074	+	0.537797i	$0.180743\pi$
$128$	−11.7297	−	6.77216i	−1.03677	−	0.598580i
$129$	−2.44680	−	4.23798i	−0.215429	−	0.373133i
$130$	11.0065	+	4.81569i	0.965331	+	0.422364i
$131$	−5.47526	+	9.48343i	−0.478376	+	0.828571i	−0.999693	−	0.0247922i	$-0.992108\pi$
$131$	−5.47526	+	9.48343i	−0.478376	+	0.828571i	0.521317	+	0.853363i	$0.325441\pi$
$132$		−	2.35994i		−	0.205406i
$133$	−8.52653	+	4.79029i	−0.739344	+	0.415371i
$134$	−2.75121			−0.237669
$135$	−1.85159	−	1.06902i	−0.159360	−	0.0920064i
$136$	15.7657	−	9.10234i	1.35190	−	0.780520i
$137$	1.42665	−	0.823676i	0.121887	−	0.0703714i	−0.437817	−	0.899064i	$-0.644248\pi$
$137$	1.42665	−	0.823676i	0.121887	−	0.0703714i	0.559704	+	0.828693i	$0.310915\pi$
$138$	5.08892	+	2.93809i	0.433198	+	0.250107i
$139$	2.81778			0.239001			0.119500	−	0.992834i	$-0.461871\pi$
$139$	2.81778			0.239001			0.119500	+	0.992834i	$0.461871\pi$
$140$	−2.08629	−	1.23738i	−0.176324	−	0.104578i
$141$		−	5.26115i		−	0.443069i
$142$	−9.19448	+	15.9253i	−0.771584	+	1.33642i
$143$	−7.95398	+	18.1792i	−0.665146	+	1.52022i
$144$	2.33687	+	4.04758i	0.194739	+	0.337298i
$145$	−1.67243	−	0.965580i	−0.138888	−	0.0801871i
$146$	11.5770			0.958118
$147$	−3.64128	+	5.97838i	−0.300328	+	0.493089i
$148$		−	0.408340i		−	0.0335653i
$149$	−5.72160	−	3.30336i	−0.468731	−	0.270622i	0.246977	−	0.969021i	$-0.420563\pi$
$149$	−5.72160	−	3.30336i	−0.468731	−	0.270622i	−0.715709	+	0.698399i	$0.753896\pi$
$150$	−0.578748	+	0.334140i	−0.0472546	+	0.0272824i
$151$	−16.0349	+	9.25774i	−1.30490	+	0.753384i	−0.981240	−	0.192789i	$-0.938247\pi$
$151$	−16.0349	+	9.25774i	−1.30490	+	0.753384i	−0.323660	+	0.946174i	$0.604913\pi$
$152$	−4.52571	+	7.83875i	−0.367083	+	0.635807i
$153$	−7.43460			−0.601051
$154$	11.5761	−	19.5178i	0.932827	−	1.57279i
$155$	−6.47443			−0.520039
$156$	0.171511	+	1.53655i	0.0137319	+	0.123022i
$157$	0.00564763	+	0.00978198i	0.000450730	+	0.000780687i	0.866251	−	0.499610i	$-0.166523\pi$
$157$	0.00564763	+	0.00978198i	0.000450730	+	0.000780687i	−0.865800	+	0.500390i	$0.833190\pi$
$158$	−20.6342	+	11.9132i	−1.64157	+	0.947761i
$159$	6.49807	−	11.2550i	0.515331	−	0.892579i
$160$	−5.10255			−0.403392
$161$	4.88619	+	8.69723i	0.385086	+	0.685437i
$162$		−	1.55846i		−	0.122444i
$163$	−1.58260	−	0.913712i	−0.123958	−	0.0715674i	0.436739	−	0.899588i	$-0.356133\pi$
$163$	−1.58260	−	0.913712i	−0.123958	−	0.0715674i	−0.560697	+	0.828021i	$0.689467\pi$
$164$	−1.80548	+	1.04239i	−0.140984	+	0.0813973i
$165$	5.88332	+	10.1902i	0.458016	+	0.793307i
$166$	8.16892	−	14.1490i	0.634031	−	1.09817i
$167$		−	9.06078i		−	0.701145i	−0.936536	−	0.350572i	$-0.885987\pi$
$167$		−	9.06078i		−	0.701145i	0.936536	−	0.350572i	$-0.114013\pi$
$168$	−0.0760136	+	6.47806i	−0.00586458	+	0.499793i
$169$	3.85762	−	12.4145i	0.296740	−	0.954958i
$170$	12.3862	−	21.4536i	0.949979	−	1.64541i
$171$	3.20126	−	1.84825i	0.244807	−	0.141339i
$172$	1.04921	+	1.81728i	0.0800012	+	0.138566i
$173$	3.12811	−	5.41805i	0.237826	−	0.411927i	−0.722264	−	0.691617i	$-0.756899\pi$
$173$	3.12811	−	5.41805i	0.237826	−	0.411927i	0.960090	+	0.279690i	$0.0902318\pi$
$174$		−	1.40767i		−	0.106715i
$175$	−1.13444	−	0.0133115i	−0.0857556	−	0.00100626i
$176$		−	25.7219i		−	1.93886i
$177$	−7.30419	−	4.21708i	−0.549017	−	0.316975i
$178$	−4.04645	−	7.00866i	−0.303294	−	0.525321i
$179$	−0.191591	−	0.331845i	−0.0143202	−	0.0248033i	0.858777	−	0.512350i	$-0.171225\pi$
$179$	−0.191591	−	0.331845i	−0.0143202	−	0.0248033i	−0.873097	+	0.487547i	$0.837892\pi$
$180$	0.793977	+	0.458403i	0.0591795	+	0.0341673i
$181$	10.0096			0.744011			0.372005	−	0.928231i	$-0.378670\pi$
$181$	10.0096			0.744011			0.372005	+	0.928231i	$0.378670\pi$
$182$	−6.11866	+	13.5493i	−0.453545	+	1.00434i
$183$	−3.62811			−0.268198
$184$	7.99568	+	4.61631i	0.589449	+	0.340319i
$185$	1.01799	+	1.76321i	0.0748442	+	0.129634i
$186$	−2.35968	−	4.08709i	−0.173020	−	0.299680i
$187$	35.4345	+	20.4581i	2.59122	+	1.49604i
$188$			2.25602i			0.164537i
$189$	1.34967	−	2.27561i	0.0981740	−	0.165526i
$190$			12.3169i			0.893563i
$191$	5.29331	−	9.16828i	0.383011	−	0.663394i	−0.608480	−	0.793569i	$-0.708221\pi$
$191$	5.29331	−	9.16828i	0.383011	−	0.663394i	0.991491	+	0.130175i	$0.0415540\pi$
$192$	2.81406	+	4.87409i	0.203087	+	0.351757i
$193$	−6.56628	+	3.79104i	−0.472651	+	0.272885i	−0.717349	−	0.696714i	$-0.754645\pi$
$193$	−6.56628	+	3.79104i	−0.472651	+	0.272885i	0.244698	+	0.969599i	$0.421311\pi$
$194$	5.50289	−	9.53129i	0.395085	−	0.684307i
$195$	−4.57119	−	6.20723i	−0.327350	−	0.444509i
$196$	1.56141	−	2.56358i	0.111529	−	0.183113i
$197$		−	5.77227i		−	0.411257i	−0.978630	−	0.205628i	$-0.934076\pi$
$197$		−	5.77227i		−	0.411257i	0.978630	−	0.205628i	$-0.0659238\pi$
$198$	−4.28849	+	7.42788i	−0.304770	+	0.527877i
$199$	−12.8653	−	22.2834i	−0.911999	−	1.57963i	−0.811236	−	0.584718i	$-0.801205\pi$
$199$	−12.8653	−	22.2834i	−0.911999	−	1.57963i	−0.100763	−	0.994910i	$-0.532128\pi$
$200$	−0.909325	+	0.524999i	−0.0642990	+	0.0371230i
$201$	1.52883	+	0.882669i	0.107835	+	0.0622587i
$202$		−	15.7535i		−	1.10841i
$203$	1.21908	−	2.05542i	0.0855624	−	0.144262i
$204$	3.18801			0.223205
$205$	5.19738	−	9.00212i	0.363001	−	0.628736i
$206$	−16.0117	+	9.24434i	−1.11559	+	0.644084i
$207$	−1.88525	−	3.26535i	−0.131034	−	0.226957i
$208$	1.86936	+	16.7474i	0.129617	+	1.16122i
$209$	−20.3436			−1.40720
$210$	4.31800	+	7.68588i	0.297971	+	0.530376i
$211$	2.62646			0.180813			0.0904065	−	0.995905i	$-0.471183\pi$
$211$	2.62646			0.180813			0.0904065	+	0.995905i	$0.471183\pi$
$212$	−2.78642	+	4.82623i	−0.191372	+	0.331467i
$213$	10.2186	−	5.89971i	0.700167	−	0.404242i
$214$	15.5991	−	9.00612i	1.06633	−	0.615646i
$215$	−9.06095	−	5.23134i	−0.617952	−	0.356775i
$216$		−	2.44865i		−	0.166609i
$217$	0.0940053	−	8.01136i	0.00638150	−	0.543846i
$218$	−19.3381			−1.30974
$219$	−6.43323	−	3.71423i	−0.434718	−	0.250984i
$220$	−2.52281	−	4.36964i	−0.170088	−	0.294601i
$221$	−24.5581	−	10.7449i	−1.65195	−	0.722783i
$222$	−0.742038	+	1.28525i	−0.0498023	+	0.0862601i
$223$			6.46813i			0.433138i	0.976267	+	0.216569i	$0.0694866\pi$
$223$			6.46813i			0.433138i	−0.976267	+	0.216569i	$0.930513\pi$
$224$	0.0740863	−	6.31381i	0.00495010	−	0.421859i
$225$	0.428808			0.0285872
$226$	−6.87373	−	3.96855i	−0.457234	−	0.263984i
$227$	−6.18745	+	3.57233i	−0.410675	+	0.237104i	−0.691080	−	0.722778i	$-0.742865\pi$
$227$	−6.18745	+	3.57233i	−0.410675	+	0.237104i	0.280404	+	0.959882i	$0.409531\pi$
$228$	−1.37272	+	0.792543i	−0.0909109	+	0.0524875i
$229$	−11.2457	−	6.49269i	−0.743134	−	0.429049i	0.0800736	−	0.996789i	$-0.474484\pi$
$229$	−11.2457	−	6.49269i	−0.743134	−	0.429049i	−0.823208	+	0.567740i	$0.807818\pi$
$230$	12.5635			0.828412
$231$	−12.6946	+	7.13197i	−0.835245	+	0.469249i
$232$		−	2.21172i		−	0.145206i
$233$	−9.85968	+	17.0775i	−0.645929	+	1.11878i	0.338157	+	0.941090i	$0.390197\pi$
$233$	−9.85968	+	17.0775i	−0.645929	+	1.11878i	−0.984086	+	0.177693i	$0.943137\pi$
$234$	2.25239	−	5.14794i	0.147243	−	0.336531i
$235$	−5.62426	−	9.74150i	−0.366886	−	0.635466i
$236$	3.13209	+	1.80831i	0.203882	+	0.117711i
$237$	15.2884			0.993085
$238$	26.3664	+	15.6380i	1.70908	+	1.01366i
$239$			20.8752i			1.35031i	0.737677	+	0.675153i	$0.235923\pi$
$239$			20.8752i			1.35031i	−0.737677	+	0.675153i	$0.764077\pi$
$240$	8.65386	+	4.99631i	0.558604	+	0.322510i
$241$	−14.8824	+	8.59237i	−0.958661	+	0.553483i	−0.895761	−	0.444536i	$-0.853368\pi$
$241$	−14.8824	+	8.59237i	−0.958661	+	0.553483i	−0.0629006	+	0.998020i	$0.520035\pi$
$242$	26.0329	−	15.0301i	1.67346	−	0.966171i
$243$	−0.500000	+	0.866025i	−0.0320750	+	0.0555556i
$244$	1.55576			0.0995975
$245$	−0.351180	+	14.9621i	−0.0224360	+	0.955895i
$246$	7.57698			0.483091
$247$	13.2457	−	1.47850i	0.842801	−	0.0940744i
$248$	−3.70752	−	6.42160i	−0.235427	−	0.407772i
$249$	−9.07880	+	5.24165i	−0.575346	+	0.332176i
$250$	−9.04452	+	15.6656i	−0.572026	+	0.990778i
$251$	−22.3931			−1.41344			−0.706720	−	0.707493i	$-0.749826\pi$
$251$	−22.3931			−1.41344			−0.706720	+	0.707493i	$0.749826\pi$
$252$	−0.578748	+	0.975798i	−0.0364577	+	0.0614695i
$253$			20.7509i			1.30460i
$254$	25.6463	+	14.8069i	1.60919	+	0.929068i
$255$	−13.7658	+	7.94771i	−0.862050	+	0.497705i
$256$	−4.92605	−	8.53218i	−0.307878	−	0.533261i
$257$	−10.2903	+	17.8233i	−0.641890	+	1.11179i	0.343120	+	0.939292i	$0.388516\pi$
$257$	−10.2903	+	17.8233i	−0.641890	+	1.11179i	−0.985010	+	0.172495i	$0.944817\pi$
$258$		−	7.62649i		−	0.474805i
$259$	−2.19655	+	1.23405i	−0.136487	+	0.0766798i
$260$	1.96016	+	2.66171i	0.121564	+	0.165072i
$261$	−0.451620	+	0.782230i	−0.0279546	+	0.0484188i
$262$	−14.7796	+	8.53299i	−0.913085	+	0.527170i
$263$	−2.52474	−	4.37298i	−0.155682	−	0.269649i	0.777625	−	0.628728i	$-0.216424\pi$
$263$	−2.52474	−	4.37298i	−0.155682	−	0.269649i	−0.933307	+	0.359079i	$0.883091\pi$
$264$	−6.73804	+	11.6706i	−0.414698	+	0.718278i
$265$		−	27.7862i		−	1.70689i
$266$	−15.2407	−	0.178835i	−0.934470	−	0.0109651i
$267$			5.19287i			0.317799i
$268$	−0.655573	−	0.378495i	−0.0400455	−	0.0231203i
$269$	7.45079	+	12.9052i	0.454283	+	0.786841i	0.998647	−	0.0520082i	$-0.0165622\pi$
$269$	7.45079	+	12.9052i	0.454283	+	0.786841i	−0.544364	+	0.838849i	$0.683229\pi$
$270$	−1.66602	−	2.88564i	−0.101391	−	0.175614i
$271$	5.41883	+	3.12856i	0.329170	+	0.190047i	0.655473	−	0.755219i	$-0.272469\pi$
$271$	5.41883	+	3.12856i	0.329170	+	0.190047i	−0.326302	+	0.945265i	$0.605803\pi$
$272$	34.7474			2.10687
$273$	7.74710	−	5.56619i	0.468876	−	0.336881i
$274$	2.56734			0.155099
$275$	−2.04376	−	1.17997i	−0.123244	−	0.0711548i
$276$	0.808409	+	1.40021i	0.0486605	+	0.0842825i
$277$	1.45934	+	2.52764i	0.0876830	+	0.151871i	0.906531	−	0.422139i	$-0.138720\pi$
$277$	1.45934	+	2.52764i	0.0876830	+	0.151871i	−0.818848	+	0.574010i	$0.805387\pi$
$278$	3.80307	+	2.19570i	0.228093	+	0.131689i
$279$			3.02822i			0.181295i
$280$	6.78441	+	12.0760i	0.405446	+	0.721678i
$281$		−	3.53952i		−	0.211150i	−0.994411	−	0.105575i	$-0.966332\pi$
$281$		−	3.53952i		−	0.211150i	0.994411	−	0.105575i	$-0.0336683\pi$
$282$	4.09965	−	7.10081i	0.244131	−	0.422847i
$283$	13.2715	+	22.9869i	0.788907	+	1.36643i	0.926637	+	0.375957i	$0.122686\pi$
$283$	13.2715	+	22.9869i	0.788907	+	1.36643i	−0.137731	+	0.990470i	$0.543981\pi$
$284$	−4.38181	+	2.52984i	−0.260013	+	0.150118i
$285$	3.95162	−	6.84441i	0.234074	−	0.405428i
$286$	−24.9010	+	18.3379i	−1.47243	+	1.08434i
$287$	11.0636	+	6.56186i	0.653065	+	0.387334i
$288$			2.38656i			0.140629i
$289$	−19.1366	+	33.1456i	−1.12568	+	1.94974i
$290$	−1.50482	−	2.60643i	−0.0883661	−	0.153055i
$291$	−6.11583	+	3.53097i	−0.358516	+	0.206989i
$292$	2.75862	+	1.59269i	0.161436	+	0.0932051i
$293$		−	3.08146i		−	0.180021i	−0.995941	−	0.0900105i	$-0.971310\pi$
$293$		−	3.08146i		−	0.180021i	0.995941	−	0.0900105i	$-0.0286901\pi$
$294$	−9.57307	+	5.23143i	−0.558313	+	0.305103i
$295$	−18.0325			−1.04989
$296$	−1.16588	+	2.01937i	−0.0677656	+	0.117374i
$297$	4.76616	−	2.75174i	0.276561	−	0.159672i
$298$	−5.14817	−	8.91690i	−0.298226	−	0.516542i
$299$	−1.50809	−	13.5108i	−0.0872153	−	0.781351i
$300$	−0.183876			−0.0106161
$301$	6.60474	−	11.1359i	0.380691	−	0.641863i
$302$	−28.8557			−1.66046
$303$	−5.05417	+	8.75407i	−0.290354	+	0.502908i
$304$	−14.9619	+	8.63823i	−0.858121	+	0.495437i
$305$	−6.71779	+	3.87852i	−0.384659	+	0.222083i
$306$	−10.0342	−	5.79327i	−0.573619	−	0.331179i
$307$			25.3997i			1.44963i	0.688941	+	0.724817i	$0.258076\pi$
$307$			25.3997i			1.44963i	−0.688941	+	0.724817i	$0.741924\pi$
$308$	5.44355	−	3.05824i	0.310175	−	0.174260i
$309$	11.8634			0.674885
$310$	−8.73834	−	5.04508i	−0.496304	−	0.286541i
$311$	10.4629	+	18.1222i	0.593295	+	1.02762i	0.993785	+	0.111315i	$0.0355064\pi$
$311$	10.4629	+	18.1222i	0.593295	+	1.02762i	−0.400491	+	0.916301i	$0.631160\pi$
$312$	3.53894	−	8.08840i	0.200353	−	0.457915i
$313$	6.35583	−	11.0086i	0.359253	−	0.622244i	−0.628584	−	0.777742i	$-0.716365\pi$
$313$	6.35583	−	11.0086i	0.359253	−	0.622244i	0.987836	+	0.155498i	$0.0496983\pi$
$314$			0.0176032i			0.000993408i
$315$	0.0663713	−	5.65632i	0.00373960	−	0.318697i
$316$	−6.55576			−0.368790
$317$	−11.1455	−	6.43484i	−0.625992	−	0.361417i	0.153206	−	0.988194i	$-0.451040\pi$
$317$	−11.1455	−	6.43484i	−0.625992	−	0.361417i	−0.779198	+	0.626778i	$0.784373\pi$
$318$	17.5405	−	10.1270i	0.983622	−	0.567894i
$319$	4.30499	−	2.48549i	0.241033	−	0.139161i
$320$	10.4210	+	6.01655i	0.582550	+	0.336335i
$321$	−11.5577			−0.645088
$322$	−0.182415	+	15.5458i	−0.0101656	+	0.866336i
$323$		−	27.4820i		−	1.52914i
$324$	0.214404	−	0.371358i	0.0119113	−	0.0206310i
$325$	1.41644	+	0.619740i	0.0785701	+	0.0343770i
$326$	−1.42399	−	2.46642i	−0.0788673	−	0.136602i
$327$	10.7460	+	6.20423i	0.594257	+	0.343094i
$328$	11.9049			0.657338
$329$	12.1356	−	6.81792i	0.669059	−	0.375884i
$330$			18.3379i			1.00947i
$331$	−23.7769	−	13.7276i	−1.30689	−	0.754536i	−0.325318	−	0.945605i	$-0.605471\pi$
$331$	−23.7769	−	13.7276i	−1.30689	−	0.754536i	−0.981577	+	0.191068i	$0.938805\pi$
$332$	3.89306	−	2.24766i	0.213659	−	0.123356i
$333$	0.824689	−	0.476134i	0.0451927	−	0.0260920i
$334$	7.06045	−	12.2291i	0.386331	−	0.669144i
$335$	3.77435			0.206215
$336$	−6.30800	+	10.6356i	−0.344130	+	0.580220i
$337$	16.5012			0.898875			0.449438	−	0.893312i	$-0.351624\pi$
$337$	16.5012			0.898875			0.449438	+	0.893312i	$0.351624\pi$
$338$	14.8802	−	13.7494i	0.809378	−	0.747871i
$339$	2.54645	+	4.41058i	0.138304	+	0.239550i
$340$	5.90290	−	3.40804i	0.320129	−	0.184827i
$341$	8.33287	−	14.4330i	0.451250	−	0.781589i
$342$	5.76086			0.311511
$343$	−18.5088	−	0.651786i	−0.999381	−	0.0351931i
$344$		−	11.9827i		−	0.646063i
$345$	−6.98143	−	4.03073i	−0.375867	−	0.217007i
$346$	8.44383	−	4.87505i	0.453943	−	0.262084i
$347$	4.41936	+	7.65455i	0.237244	+	0.410918i	0.959922	−	0.280266i	$-0.0904227\pi$
$347$	4.41936	+	7.65455i	0.237244	+	0.410918i	−0.722679	+	0.691184i	$0.757089\pi$
$348$	0.193658	−	0.335426i	0.0103812	−	0.0179807i
$349$		−	27.2777i		−	1.46014i	−0.683370	−	0.730072i	$-0.739486\pi$
$349$		−	27.2777i		−	1.46014i	0.683370	−	0.730072i	$-0.260514\pi$
$350$	−1.52075	−	0.901958i	−0.0812873	−	0.0482117i
$351$	−2.90324	+	2.13803i	−0.154964	+	0.114120i
$352$	6.56720	−	11.3747i	0.350033	−	0.606275i
$353$	−2.03841	+	1.17687i	−0.108493	+	0.0626387i	−0.553265	−	0.833005i	$-0.686618\pi$
$353$	−2.03841	+	1.17687i	−0.108493	+	0.0626387i	0.444771	+	0.895644i	$0.353285\pi$
$354$	−6.57216	−	11.3833i	−0.349306	−	0.605016i
$355$	12.6138	−	21.8477i	0.669470	−	1.15956i
$356$		−	2.22674i		−	0.118017i
$357$	−9.63450	−	17.1490i	−0.509912	−	0.907622i
$358$		−	0.597175i		−	0.0315617i
$359$	−3.01674	−	1.74172i	−0.159218	−	0.0919244i	0.418274	−	0.908321i	$-0.362635\pi$
$359$	−3.01674	−	1.74172i	−0.159218	−	0.0919244i	−0.577492	+	0.816396i	$0.695968\pi$
$360$	−2.61764	−	4.53389i	−0.137962	−	0.238957i
$361$	−2.66795	−	4.62103i	−0.140419	−	0.243212i
$362$	13.5097	+	7.79983i	0.710054	+	0.409950i
$363$	−19.2884			−1.01238
$364$	−3.32201	+	2.38683i	−0.174121	+	0.125104i
$365$	−15.8823			−0.831318
$366$	−4.89675	−	2.82714i	−0.255957	−	0.147777i
$367$	−2.91178	−	5.04335i	−0.151994	−	0.263261i	0.779967	−	0.625821i	$-0.215236\pi$
$367$	−2.91178	−	5.04335i	−0.151994	−	0.263261i	−0.931960	+	0.362560i	$0.881903\pi$
$368$	8.81116	+	15.2614i	0.459314	+	0.795555i
$369$	−4.21047	−	2.43091i	−0.219188	−	0.126548i
$370$			3.17301i			0.164957i
$371$	34.3822	+	0.403441i	1.78503	+	0.0209456i
$372$		−	1.29852i		−	0.0673252i
$373$	−4.36340	+	7.55764i	−0.225928	+	0.391320i	−0.956598	−	0.291412i	$-0.905875\pi$
$373$	−4.36340	+	7.55764i	−0.225928	+	0.391320i	0.730669	+	0.682732i	$0.239208\pi$
$374$	31.8832	+	55.2233i	1.64864	+	2.85553i
$375$	10.0519	−	5.80349i	0.519080	−	0.299691i
$376$	6.44134	−	11.1567i	0.332187	−	0.575365i
$377$	−2.62233	+	1.93116i	−0.135057	+	0.0994598i
$378$	3.59483	−	2.01961i	0.184898	−	0.103878i
$379$		−	18.8676i		−	0.969162i	−0.874747	−	0.484581i	$-0.838972\pi$
$379$		−	18.8676i		−	0.969162i	0.874747	−	0.484581i	$-0.161028\pi$
$380$	−1.69448	+	2.93493i	−0.0869252	+	0.150559i
$381$	−9.50097	−	16.4562i	−0.486749	−	0.843074i
$382$	14.2884	−	8.24943i	0.731060	−	0.422078i
$383$	12.4544	+	7.19054i	0.636389	+	0.367420i	0.783222	−	0.621742i	$-0.213575\pi$
$383$	12.4544	+	7.19054i	0.636389	+	0.367420i	−0.146833	+	0.989161i	$0.546908\pi$
$384$			13.5443i			0.691181i
$385$	−15.8811	+	26.7763i	−0.809374	+	1.36465i
$386$	−11.8164			−0.601439
$387$	−2.44680	+	4.23798i	−0.124378	+	0.215429i
$388$	2.62251	−	1.51411i	0.133138	−	0.0768672i
$389$	−1.37671	−	2.38453i	−0.0698019	−	0.120900i	0.829012	−	0.559231i	$-0.188903\pi$
$389$	−1.37671	−	2.38453i	−0.0698019	−	0.120900i	−0.898814	+	0.438330i	$0.855570\pi$
$390$	−1.33273	−	11.9397i	−0.0674852	−	0.604591i
$391$	−28.0321			−1.41765
$392$	−15.0411	+	8.21959i	−0.759692	+	0.415152i
$393$	10.9505			0.552381
$394$	4.49793	−	7.79065i	0.226603	−	0.392487i
$395$	28.3078	−	16.3435i	1.42432	−	0.822332i
$396$	−2.04376	+	1.17997i	−0.102703	+	0.0592956i
$397$	−8.62315	−	4.97858i	−0.432783	−	0.249868i	0.267748	−	0.963489i	$-0.413720\pi$
$397$	−8.62315	−	4.97858i	−0.432783	−	0.249868i	−0.700532	+	0.713621i	$0.747054\pi$
$398$		−	40.1003i		−	2.01005i
$399$	8.41178	+	4.98905i	0.421116	+	0.249765i
$400$	−2.00413			−0.100207
$401$	1.52399	+	0.879875i	0.0761043	+	0.0439388i	0.537569	−	0.843220i	$-0.319343\pi$
$401$	1.52399	+	0.879875i	0.0761043	+	0.0439388i	−0.461465	+	0.887158i	$0.652676\pi$
$402$	1.37561	+	2.38262i	0.0686090	+	0.118834i
$403$	−4.37657	+	10.0028i	−0.218012	+	0.498277i
$404$	2.16727	−	3.75381i	0.107825	−	0.186759i
$405$			2.13803i			0.106240i
$406$	3.24700	−	1.82420i	0.161146	−	0.0905334i
$407$	−5.24080			−0.259777
$408$	−15.7657	−	9.10234i	−0.780520	−	0.450633i
$409$	13.5151	−	7.80292i	0.668277	−	0.385830i	−0.127147	−	0.991884i	$-0.540582\pi$
$409$	13.5151	−	7.80292i	0.668277	−	0.385830i	0.795423	+	0.606054i	$0.207249\pi$
$410$	14.0295	−	8.09992i	0.692867	−	0.400027i
$411$	−1.42665	−	0.823676i	−0.0703714	−	0.0406289i
$412$	−5.08712			−0.250624
$413$	0.261822	−	22.3131i	0.0128834	−	1.09796i
$414$		−	5.87618i		−	0.288799i
$415$	−11.2068	+	19.4108i	−0.550122	+	0.952839i
$416$	−3.44921	+	7.88331i	−0.169111	+	0.386511i
$417$	−1.40889	−	2.44027i	−0.0689936	−	0.119500i
$418$	−27.4572	−	15.8524i	−1.34297	−	0.775366i
$419$	5.58634			0.272911			0.136455	−	0.990646i	$-0.456429\pi$
$419$	5.58634			0.272911			0.136455	+	0.990646i	$0.456429\pi$
$420$	−0.0284605	+	2.42547i	−0.00138873	+	0.118351i
$421$			12.3229i			0.600582i	0.953848	+	0.300291i	$0.0970838\pi$
$421$			12.3229i			0.600582i	−0.953848	+	0.300291i	$0.902916\pi$
$422$	3.54485	+	2.04662i	0.172561	+	0.0996280i
$423$	−4.55629	+	2.63057i	−0.221534	+	0.127903i
$424$	27.5595	−	15.9115i	1.33841	−	0.772730i
$425$	1.59401	−	2.76090i	0.0773206	−	0.133923i
$426$	18.3890			0.890948
$427$	−4.70167	−	8.36879i	−0.227530	−	0.404994i
$428$	4.95603			0.239559
$429$	19.7206	−	2.20124i	0.952121	−	0.106277i
$430$	−8.15285	−	14.1212i	−0.393166	−	0.680983i
$431$	0.338321	−	0.195330i	0.0162964	−	0.00940871i	−0.491830	−	0.870691i	$-0.663672\pi$
$431$	0.338321	−	0.195330i	0.0162964	−	0.00940871i	0.508126	+	0.861283i	$0.330338\pi$
$432$	2.33687	−	4.04758i	0.112433	−	0.194739i
$433$	21.9621			1.05543			0.527715	−	0.849421i	$-0.323049\pi$
$433$	21.9621			1.05543			0.527715	+	0.849421i	$0.323049\pi$
$434$	6.36958	−	10.7394i	0.305750	−	0.515509i
$435$			1.93116i			0.0925921i
$436$	−4.60798	−	2.66042i	−0.220682	−	0.127411i
$437$	12.0703	−	6.96882i	0.577403	−	0.333364i
$438$	−5.78849	−	10.0260i	−0.276585	−	0.479059i
$439$	0.180296	−	0.312281i	0.00860504	−	0.0149044i	−0.861691	−	0.507434i	$-0.830594\pi$
$439$	0.180296	−	0.312281i	0.00860504	−	0.0149044i	0.870296	+	0.492529i	$0.163928\pi$
$440$			28.8123i			1.37357i
$441$	6.99807	+	0.164253i	0.333242	+	0.00782159i
$442$	−24.7724	−	33.6385i	−1.17830	−	1.60002i
$443$	18.2334	−	31.5811i	0.866293	−	1.50046i	0.000535780	−	1.00000i	$-0.499829\pi$
$443$	18.2334	−	31.5811i	0.866293	−	1.50046i	0.865757	−	0.500464i	$-0.166837\pi$
$444$	−0.353633	+	0.204170i	−0.0167827	+	0.00968948i
$445$	5.55127	+	9.61509i	0.263156	+	0.455799i
$446$	−5.04017	+	8.72983i	−0.238659	+	0.413369i
$447$			6.60673i			0.312488i
$448$	−7.59609	+	12.8074i	−0.358881	+	0.605092i
$449$		−	25.8905i		−	1.22185i	−0.791689	−	0.610924i	$-0.790798\pi$
$449$		−	25.8905i		−	1.22185i	0.791689	−	0.610924i	$-0.209202\pi$
$450$	0.578748	+	0.334140i	0.0272824	+	0.0157515i
$451$	13.3785	+	23.1722i	0.629969	+	1.09114i
$452$	−1.09194	−	1.89129i	−0.0513604	−	0.0889589i
$453$	16.0349	+	9.25774i	0.753384	+	0.434967i
$454$	−11.1347			−0.522576
$455$	8.39411	−	18.5881i	0.393522	−	0.871424i
$456$	9.05141			0.423871
$457$	34.8434	+	20.1168i	1.62990	+	0.941026i	0.984120	+	0.177506i	$0.0568028\pi$
$457$	34.8434	+	20.1168i	1.62990	+	0.941026i	0.645784	+	0.763520i	$0.276530\pi$
$458$	−10.1186	−	17.5259i	−0.472812	−	0.818934i
$459$	3.71730	+	6.43855i	0.173509	+	0.300526i
$460$	2.99369	+	1.72841i	0.139581	+	0.0805874i
$461$			26.6895i			1.24305i	0.783393	+	0.621527i	$0.213487\pi$
$461$			26.6895i			1.24305i	−0.783393	+	0.621527i	$0.786513\pi$
$462$	−22.6910	−	0.266256i	−1.05568	−	0.0123874i
$463$			4.61949i			0.214686i	0.994222	+	0.107343i	$0.0342343\pi$
$463$			4.61949i			0.214686i	−0.994222	+	0.107343i	$0.965766\pi$
$464$	2.11076	−	3.65594i	0.0979894	−	0.169723i
$465$	3.23722	+	5.60702i	0.150122	+	0.260019i
$466$	−26.6146	+	15.3660i	−1.23290	+	0.711814i
$467$	−8.57973	+	14.8605i	−0.397023	+	0.687664i	−0.993357	−	0.115073i	$-0.963290\pi$
$467$	−8.57973	+	14.8605i	−0.397023	+	0.687664i	0.596334	+	0.802736i	$0.296623\pi$
$468$	1.24493	−	0.916805i	0.0575470	−	0.0423793i
$469$	−0.0548016	+	4.67032i	−0.00253050	+	0.215655i
$470$		−	17.5304i		−	0.808617i
$471$	0.00564763	−	0.00978198i	0.000260229	−	0.000450730i
$472$	−10.3261	−	17.8854i	−0.475298	−	0.823241i
$473$	23.3237	−	13.4659i	1.07242	−	0.619164i
$474$	20.6342	+	11.9132i	0.947761	+	0.547190i
$475$			1.58509i			0.0727287i
$476$	4.13134	+	7.35363i	0.189360	+	0.337053i
$477$	−12.9961			−0.595053
$478$	−16.2666	+	28.1747i	−0.744019	+	1.28868i
$479$	−24.7932	+	14.3144i	−1.13283	+	0.654040i	−0.944645	−	0.328093i	$-0.893594\pi$
$479$	−24.7932	+	14.3144i	−1.13283	+	0.654040i	−0.188185	+	0.982134i	$0.560261\pi$
$480$	2.55127	+	4.41894i	0.116449	+	0.201696i
$481$	3.41226	−	0.380881i	0.155586	−	0.0173667i
$482$	−26.7818			−1.21988
$483$	5.08892	−	8.58018i	0.231554	−	0.390412i
$484$	8.27099			0.375954
$485$	−7.54935	+	13.0759i	−0.342798	+	0.593744i
$486$	−1.34967	+	0.779232i	−0.0612222	+	0.0353467i
$487$	13.6192	−	7.86303i	0.617144	−	0.356308i	−0.158612	−	0.987341i	$-0.550702\pi$
$487$	13.6192	−	7.86303i	0.617144	−	0.356308i	0.775756	+	0.631033i	$0.217369\pi$
$488$	−7.69374	−	4.44198i	−0.348279	−	0.201079i
$489$			1.82742i			0.0826390i
$490$	−12.1329	+	19.9203i	−0.548110	+	0.899906i
$491$	34.2012			1.54348			0.771740	−	0.635938i	$-0.219387\pi$
$491$	34.2012			1.54348			0.771740	+	0.635938i	$0.219387\pi$
$492$	1.80548	+	1.04239i	0.0813973	+	0.0469948i
$493$	3.35762	+	5.81556i	0.151219	+	0.261920i
$494$	19.0293	+	8.32595i	0.856170	+	0.374602i
$495$	5.88332	−	10.1902i	0.264436	−	0.458016i
$496$		−	14.1531i		−	0.635493i
$497$	26.8509	+	15.9253i	1.20443	+	0.714348i
$498$	−16.3378			−0.732116
$499$	−11.9087	−	6.87551i	−0.533108	−	0.307790i	0.209173	−	0.977879i	$-0.432923\pi$
$499$	−11.9087	−	6.87551i	−0.533108	−	0.307790i	−0.742281	+	0.670089i	$0.766256\pi$
$500$	−4.31035	+	2.48858i	−0.192765	+	0.111293i
$501$	−7.84687	+	4.53039i	−0.350572	+	0.202403i
$502$	−30.2233	−	17.4494i	−1.34893	−	0.778805i
$503$	−31.7971			−1.41776			−0.708882	−	0.705327i	$-0.750800\pi$
$503$	−31.7971			−1.41776			−0.708882	+	0.705327i	$0.750800\pi$
$504$	5.64817	−	3.17320i	0.251590	−	0.141346i
$505$			21.6120i			0.961720i
$506$	−16.1697	+	28.0068i	−0.718833	+	1.24505i
$507$	−12.6800	+	2.86644i	−0.563141	+	0.127303i
$508$	4.07409	+	7.05652i	0.180758	+	0.313083i
$509$	22.4013	+	12.9334i	0.992921	+	0.573263i	0.906146	−	0.422964i	$-0.139011\pi$
$509$	22.4013	+	12.9334i	0.992921	+	0.573263i	0.0867751	+	0.996228i	$0.472344\pi$
$510$	−24.7724			−1.09694
$511$	0.230603	−	19.6525i	0.0102013	−	0.869376i
$512$			11.7345i			0.518597i
$513$	−3.20126	−	1.84825i	−0.141339	−	0.0816022i
$514$	−27.7769	+	16.0370i	−1.22519	+	0.707363i
$515$	21.9662	−	12.6822i	0.967946	−	0.558844i
$516$	1.04921	−	1.81728i	0.0461887	−	0.0800012i
$517$	28.9547			1.27342
$518$	−3.92622	−	0.0460703i	−0.172508	−	0.00202421i
$519$	−6.25623			−0.274618
$520$	−2.09397	−	18.7596i	−0.0918266	−	0.822663i
$521$	−0.391998	−	0.678960i	−0.0171737	−	0.0297458i	0.857311	−	0.514799i	$-0.172134\pi$
$521$	−0.391998	−	0.678960i	−0.0171737	−	0.0297458i	−0.874485	+	0.485053i	$0.838800\pi$
$522$	−1.21908	+	0.703834i	−0.0533575	+	0.0308060i
$523$	17.6130	−	30.5065i	0.770161	−	1.33396i	−0.167313	−	0.985904i	$-0.553509\pi$
$523$	17.6130	−	30.5065i	0.770161	−	1.33396i	0.937474	−	0.348054i	$-0.113158\pi$
$524$	−4.69567			−0.205131
$525$	0.555692	+	0.989110i	0.0242524	+	0.0431683i
$526$		−	7.86943i		−	0.343123i
$527$	19.4973	+	11.2568i	0.849317	+	0.490353i
$528$	−22.2758	+	12.8609i	−0.969429	+	0.559700i
$529$	4.39167	+	7.60660i	0.190942	+	0.330722i
$530$	21.6519	−	37.5022i	0.940498	−	1.62899i
$531$			8.43415i			0.366011i
$532$	−3.60704	−	2.13934i	−0.156385	−	0.0927522i
$533$	−10.3948	−	14.1151i	−0.450247	−	0.611391i
$534$	−4.04645	+	7.00866i	−0.175107	+	0.303294i
$535$	−21.4001	+	12.3554i	−0.925209	+	0.534170i
$536$	2.16134	+	3.74356i	0.0933558	+	0.161697i
$537$	−0.191591	+	0.331845i	−0.00826776	+	0.0143202i
$538$			23.2236i			1.00124i
$539$	−32.9019	−	20.0398i	−1.41719	−	0.863173i
$540$		−	0.916805i		−	0.0394530i
$541$	−33.7367	−	19.4779i	−1.45045	−	0.837419i	−0.451946	−	0.892045i	$-0.649270\pi$
$541$	−33.7367	−	19.4779i	−1.45045	−	0.837419i	−0.998507	+	0.0546260i	$0.982603\pi$
$542$	4.87575	+	8.44504i	0.209431	+	0.362746i
$543$	−5.00482	−	8.66860i	−0.214777	−	0.372005i
$544$	15.3660	+	8.87155i	0.658811	+	0.380365i
$545$	26.5297			1.13641
$546$	14.7934	−	1.47573i	0.633098	−	0.0631556i
$547$	−14.5121			−0.620491			−0.310246	−	0.950656i	$-0.600411\pi$
$547$	−14.5121			−0.620491			−0.310246	+	0.950656i	$0.600411\pi$
$548$	0.611758	+	0.353199i	0.0261330	+	0.0150879i
$549$	1.81406	+	3.14204i	0.0774221	+	0.134099i
$550$	−1.83894	−	3.18513i	−0.0784125	−	0.135814i
$551$	−2.89151	−	1.66941i	−0.123182	−	0.0711194i
$552$		−	9.23261i		−	0.392966i
$553$	19.8122	+	35.2649i	0.842500	+	1.49962i
$554$			4.54864i			0.193253i
$555$	1.01799	−	1.76321i	0.0432113	−	0.0748442i
$556$	0.604142	+	1.04640i	0.0256213	+	0.0443774i
$557$	−3.15836	+	1.82348i	−0.133824	+	0.0772634i	−0.565417	−	0.824805i	$-0.691285\pi$
$557$	−3.15836	+	1.82348i	−0.133824	+	0.0772634i	0.431593	+	0.902068i	$0.357952\pi$
$558$	−2.35968	+	4.08709i	−0.0998933	+	0.173020i
$559$	−14.2073	+	10.4627i	−0.600905	+	0.442524i
$560$	−0.310202	+	26.4362i	−0.0131084	+	1.11713i
$561$		−	40.9162i		−	1.72748i
$562$	2.75810	−	4.77717i	0.116344	−	0.201513i
$563$	−0.134670	−	0.233255i	−0.00567566	−	0.00983053i	0.863174	−	0.504907i	$-0.168473\pi$
$563$	−0.134670	−	0.233255i	−0.00567566	−	0.00983053i	−0.868849	+	0.495077i	$0.835140\pi$
$564$	1.95377	−	1.12801i	0.0822686	−	0.0474978i
$565$	9.42998	+	5.44440i	0.396722	+	0.229048i
$566$			41.3662i			1.73875i
$567$	−2.64557	−	0.0310431i	−0.111103	−	0.00130369i
$568$	28.8926			1.21231
$569$	−22.8066	+	39.5022i	−0.956103	+	1.65602i	−0.224280	+	0.974525i	$0.572003\pi$
$569$	−22.8066	+	39.5022i	−0.956103	+	1.65602i	−0.731823	+	0.681495i	$0.761330\pi$
$570$	10.6668	−	6.15846i	0.446781	−	0.257949i
$571$	10.7183	+	18.5646i	0.448545	+	0.776903i	0.998292	−	0.0584283i	$-0.0186089\pi$
$571$	10.7183	+	18.5646i	0.448545	+	0.776903i	−0.549746	+	0.835332i	$0.685276\pi$
$572$	−8.45635	+	0.943908i	−0.353578	+	0.0394668i
$573$	−10.5866			−0.442262
$574$	9.81901	+	17.4775i	0.409838	+	0.729495i
$575$	1.61682			0.0674260
$576$	2.81406	−	4.87409i	0.117252	−	0.203087i
$577$	−2.10289	+	1.21410i	−0.0875445	+	0.0505438i	−0.543133	−	0.839647i	$-0.682762\pi$
$577$	−2.10289	+	1.21410i	−0.0875445	+	0.0505438i	0.455589	+	0.890190i	$0.349429\pi$
$578$	−51.6561	+	29.8237i	−2.14861	+	1.24050i
$579$	6.56628	+	3.79104i	0.272885	+	0.157550i
$580$		−	0.828096i		−	0.0343848i
$581$	−23.8559	−	14.1490i	−0.989709	−	0.586999i
$582$	−11.0058			−0.456205
$583$	61.9417	+	35.7621i	2.56536	+	1.48111i
$584$	−9.09483	−	15.7527i	−0.376347	−	0.651852i
$585$	−3.09002	+	7.06238i	−0.127757	+	0.291994i
$586$	2.40117	−	4.15895i	0.0991916	−	0.171805i
$587$		−	3.50483i		−	0.144660i	−0.997381	−	0.0723299i	$-0.976957\pi$
$587$		−	3.50483i		−	0.144660i	0.997381	−	0.0723299i	$-0.0230434\pi$
$588$	−3.00083	−	0.0704331i	−0.123752	−	0.00290461i
$589$	−11.1938			−0.461232
$590$	−24.3379	−	14.0515i	−1.00198	−	0.578491i
$591$	−4.99893	+	2.88613i	−0.205628	+	0.118720i
$592$	−3.85438	+	2.22533i	−0.158414	+	0.0914604i
$593$	3.28590	+	1.89711i	0.134936	+	0.0779051i	0.565948	−	0.824441i	$-0.308510\pi$
$593$	3.28590	+	1.89711i	0.134936	+	0.0779051i	−0.431013	+	0.902346i	$0.641844\pi$
$594$	8.57698			0.351918
$595$	−36.1718	−	21.4536i	−1.48290	−	0.879510i
$596$		−	2.83302i		−	0.116045i
$597$	−12.8653	+	22.2834i	−0.526543	+	0.911999i
$598$	8.49263	−	19.4103i	0.347289	−	0.793745i
$599$	2.21344	+	3.83379i	0.0904386	+	0.156644i	0.907696	−	0.419629i	$-0.137840\pi$
$599$	2.21344	+	3.83379i	0.0904386	+	0.156644i	−0.817257	+	0.576273i	$0.804506\pi$
$600$	0.909325	+	0.524999i	0.0371230	+	0.0214330i
$601$	0.00578763			0.000236082			0.000118041	−	1.00000i	$-0.499962\pi$
$601$	0.00578763			0.000236082			0.000118041		1.00000i	$0.499962\pi$
$602$	17.5917	−	9.88318i	0.716983	−	0.402808i
$603$		−	1.76534i		−	0.0718901i
$604$	−6.87588	−	3.96979i	−0.279775	−	0.161528i
$605$	−35.7142	+	20.6196i	−1.45199	+	0.838305i
$606$	−13.6429	+	7.87673i	−0.554205	+	0.319970i
$607$	−0.0179917	+	0.0311626i	−0.000730261	+	0.00126485i	−0.866390	−	0.499367i	$-0.833566\pi$
$607$	−0.0179917	+	0.0311626i	−0.000730261	+	0.00126485i	0.865660	+	0.500632i	$0.166899\pi$
$608$	−8.82191			−0.357776
$609$	−2.38959	−	0.0280394i	−0.0968309	−	0.00113621i
$610$	−12.0890			−0.489471
$611$	−18.8523	+	2.10431i	−0.762681	+	0.0851313i
$612$	−1.59401	−	2.76090i	−0.0644338	−	0.111603i
$613$	37.8958	−	21.8792i	1.53060	−	0.883691i	0.531264	−	0.847207i	$-0.321717\pi$
$613$	37.8958	−	21.8792i	1.53060	−	0.883691i	0.999334	−	0.0364845i	$-0.0116160\pi$
$614$	−19.7922	+	34.2811i	−0.798749	+	1.38347i
$615$	−10.3948			−0.419157
$616$	−35.6519	−	0.418340i	−1.43646	−	0.0168554i
$617$			30.0459i			1.20960i	0.796376	+	0.604802i	$0.206748\pi$
$617$			30.0459i			1.20960i	−0.796376	+	0.604802i	$0.793252\pi$
$618$	16.0117	+	9.24434i	0.644084	+	0.371862i
$619$	27.5160	−	15.8864i	1.10596	−	0.638526i	0.168180	−	0.985756i	$-0.446211\pi$
$619$	27.5160	−	15.8864i	1.10596	−	0.638526i	0.937780	+	0.347230i	$0.112878\pi$
$620$	−1.38814	−	2.40433i	−0.0557492	−	0.0965604i
$621$	−1.88525	+	3.26535i	−0.0756524	+	0.131034i
$622$			32.6120i			1.30762i
$623$	−11.9782	+	6.72945i	−0.479895	+	0.269610i
$624$	13.5690	−	9.99262i	0.543194	−	0.400025i
$625$	11.3360	−	19.6346i	0.453442	−	0.785384i
$626$	17.1565	−	9.90532i	0.685713	−	0.395896i
$627$	10.1718	+	17.6181i	0.406223	+	0.703599i
$628$	−0.00242175	+	0.00419459i	−9.66382e−5	+	0.000167382i
$629$		−	7.07973i		−	0.282287i
$630$	4.49716	−	7.58244i	0.179171	−	0.302092i
$631$			19.7990i			0.788185i	0.919071	+	0.394092i	$0.128941\pi$
$631$			19.7990i			0.788185i	−0.919071	+	0.394092i	$0.871059\pi$
$632$	32.4203	+	18.7179i	1.28961	+	0.744557i
$633$	−1.31323	−	2.27458i	−0.0521962	−	0.0904065i
$634$	−10.0285	−	17.3698i	−0.398281	−	0.689843i
$635$	−35.1838	−	20.3134i	−1.39623	−	0.806113i
$636$	5.57285			0.220978
$637$	22.8787	+	10.6566i	0.906488	+	0.422231i
$638$	7.74708			0.306710
$639$	−10.2186	−	5.89971i	−0.404242	−	0.233389i
$640$	14.4791	+	25.0786i	0.572337	+	0.991318i
$641$	−9.10916	−	15.7775i	−0.359790	−	0.623175i	0.628135	−	0.778104i	$-0.283818\pi$
$641$	−9.10916	−	15.7775i	−0.359790	−	0.623175i	−0.987926	+	0.154929i	$0.950485\pi$
$642$	−15.5991	−	9.00612i	−0.615646	−	0.355443i
$643$		−	24.7132i		−	0.974592i	−0.873237	−	0.487296i	$-0.837983\pi$
$643$		−	24.7132i		−	0.974592i	0.873237	−	0.487296i	$-0.162017\pi$
$644$	−2.18217	+	3.67925i	−0.0859895	+	0.144983i
$645$			10.4627i			0.411968i
$646$	21.4148	−	37.0915i	0.842555	−	1.45935i
$647$	−14.5947	−	25.2788i	−0.573777	−	0.993810i	−0.996173	−	0.0873994i	$-0.972144\pi$
$647$	−14.5947	−	25.2788i	−0.573777	−	0.993810i	0.422397	−	0.906411i	$-0.361189\pi$
$648$	−2.12059	+	1.22432i	−0.0833046	+	0.0480959i
$649$	23.2086	−	40.1985i	0.911018	−	1.57793i
$650$	1.42881	+	1.94018i	0.0560424	+	0.0761001i
$651$	−6.98504	+	3.92427i	−0.273765	+	0.153804i
$652$		−	0.783613i		−	0.0306887i
$653$	11.6140	−	20.1160i	0.454490	−	0.787200i	−0.544168	−	0.838976i	$-0.683155\pi$
$653$	11.6140	−	20.1160i	0.454490	−	0.787200i	0.998659	+	0.0517758i	$0.0164881\pi$
$654$	9.66906	+	16.7473i	0.378090	+	0.654871i
$655$	20.2759	−	11.7063i	0.792245	−	0.457403i
$656$	19.6786	+	11.3615i	0.768321	+	0.443590i
$657$			7.42846i			0.289812i
$658$	21.6918	+	0.254532i	0.845636	+	0.00992269i
$659$	48.4141			1.88594			0.942972	−	0.332872i	$-0.108018\pi$
$659$	48.4141			1.88594			0.942972	+	0.332872i	$0.108018\pi$
$660$	−2.52281	+	4.36964i	−0.0982004	+	0.170088i
$661$	22.3988	−	12.9319i	0.871212	−	0.502994i	0.00346104	−	0.999994i	$-0.498898\pi$
$661$	22.3988	−	12.9319i	0.871212	−	0.502994i	0.867751	+	0.497000i	$0.165565\pi$
$662$	−21.3939	−	37.0554i	−0.831499	−	1.44020i
$663$	2.97363	+	26.6404i	0.115486	+	1.03463i
$664$	−25.6699			−0.996185
$665$	20.9086	+	0.245341i	0.810800	+	0.00951393i
$666$	1.48408			0.0575068
$667$	−1.70283	+	2.94940i	−0.0659340	+	0.114201i
$668$	3.36480	−	1.94267i	0.130188	−	0.0751640i
$669$	5.60156	−	3.23406i	0.216569	−	0.125036i
$670$	5.09413	+	2.94110i	0.196803	+	0.113624i
$671$		−	19.9673i		−	0.770828i
$672$	−5.50496	+	3.09274i	−0.212358	+	0.119305i
$673$	−33.2032			−1.27989			−0.639944	−	0.768421i	$-0.721043\pi$
$673$	−33.2032			−1.27989			−0.639944	+	0.768421i	$0.721043\pi$
$674$	22.2711	+	12.8582i	0.857851	+	0.495280i
$675$	−0.214404	−	0.371358i	−0.00825241	−	0.0142936i
$676$	5.43730	−	1.22915i	0.209127	−	0.0472750i
$677$	−19.1718	+	33.2066i	−0.736833	+	1.27623i	0.217082	+	0.976153i	$0.430346\pi$
$677$	−19.1718	+	33.2066i	−0.736833	+	1.27623i	−0.953915	+	0.300078i	$0.902987\pi$
$678$			7.93710i			0.304823i
$679$	−16.0702	−	9.53129i	−0.616719	−	0.365777i
$680$	−38.9223			−1.49260
$681$	6.18745	+	3.57233i	0.237104	+	0.136892i
$682$	22.4932	−	12.9865i	0.861311	−	0.497278i
$683$	9.67577	−	5.58631i	0.370233	−	0.213754i	−0.303327	−	0.952886i	$-0.598098\pi$
$683$	9.67577	−	5.58631i	0.370233	−	0.213754i	0.673560	+	0.739132i	$0.264764\pi$
$684$	1.37272	+	0.792543i	0.0524875	+	0.0303036i
$685$	−3.52210			−0.134572
$686$	−24.4728	−	15.3023i	−0.934377	−	0.584246i
$687$			12.9854i			0.495423i
$688$	11.4357	−	19.8072i	0.435982	−	0.755143i
$689$	−42.9290	−	18.7828i	−1.63547	−	0.715570i
$690$	−6.28174	−	10.8803i	−0.239142	−	0.414206i
$691$	−11.6191	−	6.70831i	−0.442013	−	0.255196i	0.262438	−	0.964949i	$-0.415473\pi$
$691$	−11.6191	−	6.70831i	−0.442013	−	0.255196i	−0.704451	+	0.709753i	$0.748807\pi$
$692$	2.68272			0.101982
$693$	12.5238	+	7.42788i	0.475739	+	0.282162i
$694$			13.7748i			0.522885i
$695$	−5.21737	−	3.01225i	−0.197906	−	0.114261i
$696$	−1.91540	+	1.10586i	−0.0726032	+	0.0419175i
$697$	−31.3031	+	18.0729i	−1.18569	+	0.684558i
$698$	21.2557	−	36.8159i	0.804539	−	1.39350i
$699$	19.7194			0.745855
$700$	−0.238285	−	0.424138i	−0.00900632	−	0.0160309i
$701$	−17.9203			−0.676841			−0.338421	−	0.940995i	$-0.609893\pi$
$701$	−17.9203			−0.676841			−0.338421	+	0.940995i	$0.609893\pi$
$702$	−5.58444	+	0.623342i	−0.210771	+	0.0235265i
$703$	1.76003	+	3.04846i	0.0663808	+	0.114975i
$704$	−26.8245	+	15.4871i	−1.01099	+	0.583693i
$705$	−5.62426	+	9.74150i	−0.211822	+	0.366886i
$706$	−3.66823			−0.138056
$707$	−26.7423	−	0.313794i	−1.00575	−	0.0118014i
$708$		−	3.61663i		−	0.135921i
$709$	−26.4757	−	15.2857i	−0.994315	−	0.574068i	−0.0877539	−	0.996142i	$-0.527969\pi$
$709$	−26.4757	−	15.2857i	−0.994315	−	0.574068i	−0.906561	+	0.422074i	$0.861302\pi$
$710$	34.0489	−	19.6581i	1.27783	−	0.737756i
$711$	−7.64418	−	13.2401i	−0.286679	−	0.496543i
$712$	−6.35776	+	11.0120i	−0.238267	+	0.412690i
$713$			11.4179i			0.427603i
$714$	0.359682	−	30.6530i	0.0134608	−	1.14716i
$715$	34.1614	−	25.1575i	1.27756	−	0.940837i
$716$	0.0821556	−	0.142298i	0.00307030	−	0.00531792i
$717$	18.0785	−	10.4376i	0.675153	−	0.389800i
$718$	−2.71440	−	4.70149i	−0.101301	−	0.175458i
$719$	1.77518	−	3.07470i	0.0662030	−	0.114667i	−0.831024	−	0.556237i	$-0.812245\pi$
$719$	1.77518	−	3.07470i	0.0662030	−	0.114667i	0.897227	+	0.441570i	$0.145578\pi$
$720$		−	9.99262i		−	0.372403i
$721$	15.3738	+	27.3647i	0.572550	+	1.01912i
$722$		−	8.31581i		−	0.309482i
$723$	14.8824	+	8.59237i	0.553483	+	0.319554i
$724$	2.14611	+	3.71716i	0.0797594	+	0.138147i
$725$	−0.193658	−	0.335426i	−0.00719229	−	0.0124574i
$726$	−26.0329	−	15.0301i	−0.966171	−	0.557819i
$727$	8.34296			0.309423			0.154712	−	0.987960i	$-0.450555\pi$
$727$	8.34296			0.309423			0.154712	+	0.987960i	$0.450555\pi$
$728$	23.2432	−	2.31866i	0.861451	−	0.0859354i
$729$	1.00000			0.0370370
$730$	−21.4358	−	12.3760i	−0.793376	−	0.458056i
$731$	18.1910	+	31.5077i	0.672817	+	1.16535i
$732$	−0.777881	−	1.34733i	−0.0287513	−	0.0497987i
$733$	4.48482	+	2.58931i	0.165651	+	0.0956385i	0.580533	−	0.814236i	$-0.302844\pi$
$733$	4.48482	+	2.58931i	0.165651	+	0.0956385i	−0.414883	+	0.909875i	$0.636177\pi$
$734$		−	9.07581i		−	0.334994i
$735$	13.1332	−	7.17693i	0.484424	−	0.264725i
$736$			8.99852i			0.331690i
$737$	−4.85776	+	8.41388i	−0.178938	+	0.309929i
$738$	−3.78849	−	6.56186i	−0.139456	−	0.241545i
$739$	−5.18606	+	2.99417i	−0.190772	+	0.110142i	−0.592344	−	0.805685i	$-0.701797\pi$
$739$	−5.18606	+	2.99417i	−0.190772	+	0.110142i	0.401572	+	0.915828i	$0.368464\pi$
$740$	−0.436523	+	0.756079i	−0.0160469	+	0.0277940i
$741$	−7.90324	−	10.7318i	−0.290333	−	0.394243i
$742$	46.0902	+	27.3362i	1.69202	+	1.00354i
$743$		−	21.3134i		−	0.781912i	−0.920409	−	0.390956i	$-0.872144\pi$
$743$		−	21.3134i		−	0.781912i	0.920409	−	0.390956i	$-0.127856\pi$
$744$	−3.70752	+	6.42160i	−0.135924	+	0.235427i
$745$	7.06271	+	12.2330i	0.258758	+	0.448181i
$746$	−11.7783	+	6.80020i	−0.431234	+	0.248973i
$747$	9.07880	+	5.24165i	0.332176	+	0.191782i
$748$			17.5452i			0.641515i
$749$	−14.9776	−	26.6596i	−0.547270	−	0.974120i
$750$	18.0890			0.660519
$751$	−7.70605	+	13.3473i	−0.281198	+	0.487049i	−0.971680	−	0.236300i	$-0.924065\pi$
$751$	−7.70605	+	13.3473i	−0.281198	+	0.487049i	0.690482	+	0.723349i	$0.257398\pi$
$752$	21.2949	−	12.2946i	0.776545	−	0.448339i
$753$	11.1966	+	19.3930i	0.408025	+	0.706720i
$754$	−5.04409	+	0.563028i	−0.183695	+	0.0205043i
$755$	39.5867			1.44071
$756$	1.13444	+	0.0133115i	0.0412592	+	0.000484136i
$757$	−31.6188			−1.14920			−0.574602	−	0.818433i	$-0.694843\pi$
$757$	−31.6188			−1.14920			−0.574602	+	0.818433i	$0.694843\pi$
$758$	14.7022	−	25.4650i	0.534008	−	0.924929i
$759$	17.9708	−	10.3754i	0.652298	−	0.376605i
$760$	16.7595	−	9.67612i	0.607932	−	0.350990i
$761$	6.39264	+	3.69079i	0.231733	+	0.133791i	0.611371	−	0.791344i	$-0.290618\pi$
$761$	6.39264	+	3.69079i	0.231733	+	0.133791i	−0.379638	+	0.925135i	$0.623952\pi$
$762$		−	29.6138i		−	1.07280i
$763$	−0.385197	+	32.8274i	−0.0139451	+	1.18843i
$764$	4.53962			0.164238
$765$	13.7658	+	7.94771i	0.497705	+	0.287350i
$766$	11.2062	+	19.4097i	0.404896	+	0.701301i
$767$	−12.1896	+	27.8598i	−0.440140	+	1.00596i
$768$	−4.92605	+	8.53218i	−0.177754	+	0.307878i
$769$		−	40.4051i		−	1.45704i	−0.685022	−	0.728522i	$-0.740208\pi$
$769$		−	40.4051i		−	1.45704i	0.685022	−	0.728522i	$-0.259792\pi$
$770$	−42.2991	+	23.7641i	−1.52435	+	0.856398i
$771$	20.5806			0.741191
$772$	−2.81567	−	1.62563i	−0.101338	−	0.0585076i
$773$	−24.1100	+	13.9199i	−0.867176	+	0.500664i	−0.866409	−	0.499335i	$-0.833578\pi$
$773$	−24.1100	+	13.9199i	−0.867176	+	0.500664i	−0.000767212		1.00000i	$0.500244\pi$
$774$	−6.60474	+	3.81325i	−0.237402	+	0.137064i
$775$	−1.12455	−	0.649261i	−0.0403951	−	0.0233222i
$776$	−17.2922			−0.620754
$777$	2.16699	+	1.28525i	0.0777404	+	0.0461080i
$778$		−	4.29110i		−	0.153843i
$779$	8.98587	−	15.5640i	0.321952	−	0.557637i
$780$	1.32502	−	3.02840i	0.0474435	−	0.108434i
$781$	32.4690	+	56.2379i	1.16183	+	2.01235i
$782$	−37.8341	−	21.8435i	−1.35294	−	0.781123i
$783$	0.903241			0.0322792
$784$	−32.7072	−	0.767678i	−1.16811	−	0.0274171i
$785$		−	0.0241497i		−	0.000861938i
$786$	14.7796	+	8.53299i	0.527170	+	0.304362i
$787$	−19.7457	+	11.4002i	−0.703859	+	0.406373i	−0.808783	−	0.588107i	$-0.799873\pi$
$787$	−19.7457	+	11.4002i	−0.703859	+	0.406373i	0.104924	+	0.994480i	$0.466540\pi$
$788$	2.14358	−	1.23760i	0.0763618	−	0.0440875i
$789$	−2.52474	+	4.37298i	−0.0898831	+	0.155682i
$790$	50.9415			1.81242
$791$	−6.87373	+	11.5895i	−0.244402	+	0.412074i
$792$	13.4761			0.478852
$793$	1.45114	+	13.0006i	0.0515316	+	0.461665i
$794$	−7.75893	−	13.4389i	−0.275354	−	0.476927i
$795$	−24.0636	+	13.8931i	−0.853447	+	0.492738i
$796$	5.51675	−	9.55529i	0.195536	−	0.338678i
$797$	8.63198			0.305760			0.152880	−	0.988245i	$-0.451145\pi$
$797$	8.63198			0.305760			0.152880	+	0.988245i	$0.451145\pi$
$798$	7.46550	+	13.2883i	0.264276	+	0.470400i
$799$			39.1145i			1.38377i
$800$	−0.886268	−	0.511687i	−0.0313343	−	0.0180909i
$801$	4.49716	−	2.59644i	0.158899	−	0.0917406i
$802$	1.37125	+	2.37508i	0.0484206	+	0.0838669i
$803$	20.4412	−	35.4052i	0.721355	−	1.24942i
$804$			0.756990i			0.0266970i
$805$	0.250253	−	21.3271i	0.00882025	−	0.751683i
$806$	−13.7015	+	10.0902i	−0.482613	+	0.355411i
$807$	7.45079	−	12.9052i	0.262280	−	0.454283i
$808$	−21.4356	+	12.3759i	−0.754103	+	0.435381i
$809$	−14.0190	−	24.2815i	−0.492880	−	0.853694i	0.507086	−	0.861895i	$-0.330723\pi$
$809$	−14.0190	−	24.2815i	−0.492880	−	0.853694i	−0.999966	+	0.00820168i	$0.997389\pi$
$810$	−1.66602	+	2.88564i	−0.0585381	+	0.101391i
$811$		−	36.2095i		−	1.27149i	−0.771901	−	0.635743i	$-0.780694\pi$
$811$		−	36.2095i		−	1.27149i	0.771901	−	0.635743i	$-0.219306\pi$
$812$	1.02467	+	0.0120235i	0.0359590	+	0.000421943i
$813$		−	6.25712i		−	0.219447i
$814$	−7.07334	−	4.08379i	−0.247920	−	0.143137i
$815$	1.95355	+	3.38364i	0.0684298	+	0.118524i
$816$	−17.3737	−	30.0921i	−0.608200	−	1.05343i
$817$	−15.6657	−	9.04459i	−0.548073	−	0.316430i
$818$	24.3211			0.850369
$819$	−8.69401	−	3.92609i	−0.303793	−	0.137189i
$820$	4.45735			0.155657
$821$	−13.9062	−	8.02877i	−0.485331	−	0.280206i	0.237305	−	0.971435i	$-0.423736\pi$
$821$	−13.9062	−	8.02877i	−0.485331	−	0.280206i	−0.722635	+	0.691229i	$0.757069\pi$
$822$	−1.28367	−	2.22338i	−0.0447731	−	0.0775493i
$823$	15.5112	+	26.8663i	0.540688	+	0.936499i	0.998865	+	0.0476379i	$0.0151693\pi$
$823$	15.5112	+	26.8663i	0.540688	+	0.936499i	−0.458177	+	0.888861i	$0.651497\pi$
$824$	25.1574	+	14.5246i	0.876400	+	0.505990i
$825$			2.35994i			0.0821624i
$826$	17.7405	−	29.9113i	0.617270	−	1.04075i
$827$		−	5.74395i		−	0.199737i	−0.995001	−	0.0998683i	$-0.968158\pi$
$827$		−	5.74395i		−	0.199737i	0.995001	−	0.0998683i	$-0.0318422\pi$
$828$	0.808409	−	1.40021i	0.0280942	−	0.0486605i
$829$	−13.1223	−	22.7285i	−0.455757	−	0.789395i	0.542974	−	0.839750i	$-0.317298\pi$
$829$	−13.1223	−	22.7285i	−0.455757	−	0.789395i	−0.998731	+	0.0503545i	$0.983965\pi$
$830$	−30.2510	+	17.4654i	−1.05003	+	0.606234i
$831$	1.45934	−	2.52764i	0.0506238	−	0.0876830i
$832$	16.3398	−	12.0331i	0.566480	−	0.417173i
$833$	27.0715	−	44.4468i	0.937971	−	1.53999i
$834$		−	4.39140i		−	0.152062i
$835$	−9.68614	+	16.7769i	−0.335203	+	0.580588i
$836$	−4.36175	−	7.55477i	−0.150854	−	0.261287i
$837$	2.62251	−	1.51411i	0.0906473	−	0.0523352i
$838$	7.53971	+	4.35305i	0.260455	+	0.150374i
$839$		−	14.9188i		−	0.515055i	−0.966271	−	0.257528i	$-0.917092\pi$
$839$		−	14.9188i		−	0.515055i	0.966271	−	0.257528i	$-0.0829078\pi$
$840$	7.06591	−	11.9135i	0.243797	−	0.411054i
$841$	−28.1842			−0.971867
$842$	−9.60241	+	16.6319i	−0.330921	+	0.573172i
$843$	−3.06531	+	1.76976i	−0.105575	+	0.0609537i
$844$	0.563123	+	0.975358i	0.0193835	+	0.0335732i
$845$	−20.4140	+	18.8627i	−0.702263	+	0.648895i
$846$	−8.19931			−0.281898
$847$	−24.9958	−	44.4915i	−0.858865	−	1.52875i
$848$	60.7406			2.08584
$849$	13.2715	−	22.9869i	0.455475	−	0.788907i
$850$	4.30276	−	2.48420i	0.147583	−	0.0852073i
$851$	3.10949	−	1.79526i	0.106592	−	0.0615408i
$852$	4.38181	+	2.52984i	0.150118	+	0.0866709i
$853$		−	24.1400i		−	0.826537i	−0.910609	−	0.413268i	$-0.864387\pi$
$853$		−	24.1400i		−	0.826537i	0.910609	−	0.413268i	$-0.135613\pi$
$854$	0.175527	−	14.9588i	0.00600639	−	0.511879i
$855$	−7.90324			−0.270285
$856$	−24.5091	−	14.1504i	−0.837705	−	0.483649i
$857$	−0.669552	−	1.15970i	−0.0228715	−	0.0396146i	0.854363	−	0.519676i	$-0.173948\pi$
$857$	−0.669552	−	1.15970i	−0.0228715	−	0.0396146i	−0.877235	+	0.480062i	$0.840614\pi$
$858$	28.3316	+	12.3960i	0.967225	+	0.423192i
$859$	−20.2107	+	35.0059i	−0.689580	+	1.19439i	0.282394	+	0.959298i	$0.408871\pi$
$859$	−20.2107	+	35.0059i	−0.689580	+	1.19439i	−0.971974	+	0.235089i	$0.924462\pi$
$860$		−	4.48648i		−	0.152988i
$861$	0.150926	−	12.8623i	0.00514356	−	0.438346i
$862$	0.608829			0.0207368
$863$	−11.7479	−	6.78268i	−0.399905	−	0.230885i	0.286538	−	0.958069i	$-0.407495\pi$
$863$	−11.7479	−	6.78268i	−0.399905	−	0.230885i	−0.686443	+	0.727184i	$0.740829\pi$
$864$	2.06682	−	1.19328i	0.0703147	−	0.0405962i
$865$	−11.5840	+	6.68802i	−0.393867	+	0.227399i
$866$	29.6416	+	17.1136i	1.00726	+	0.581542i
$867$	38.2732			1.29983
$868$	2.99524	−	1.68276i	0.101665	−	0.0571165i
$869$			84.1392i			2.85423i
$870$	−1.50482	+	2.60643i	−0.0510182	+	0.0883661i
$871$	2.55138	−	5.83129i	0.0864501	−	0.197586i
$872$	15.1920	+	26.3132i	0.514464	+	0.891078i
$873$	6.11583	+	3.53097i	0.206989	+	0.119505i
$874$	21.7213			0.734734
$875$	26.4129	+	15.6656i	0.892920	+	0.529593i
$876$		−	3.18538i		−	0.107624i
$877$	−15.8608	−	9.15722i	−0.535580	−	0.309217i	0.207706	−	0.978191i	$-0.433400\pi$
$877$	−15.8608	−	9.15722i	−0.535580	−	0.309217i	−0.743286	+	0.668974i	$0.766734\pi$
$878$	0.486679	−	0.280984i	0.0164246	−	0.00948276i
$879$	−2.66863	+	1.54073i	−0.0900105	+	0.0519676i
$880$	−27.4971	+	47.6264i	−0.926927	+	1.60549i
$881$	−19.5050			−0.657141			−0.328570	−	0.944480i	$-0.606567\pi$
$881$	−19.5050			−0.657141			−0.328570	+	0.944480i	$0.606567\pi$
$882$	9.31709	+	5.67481i	0.313723	+	0.191081i
$883$	9.06232			0.304972			0.152486	−	0.988306i	$-0.451272\pi$
$883$	9.06232			0.304972			0.152486	+	0.988306i	$0.451272\pi$
$884$	−1.27511	−	11.4236i	−0.0428868	−	0.384217i
$885$	9.01626	+	15.6166i	0.303078	+	0.524947i
$886$	49.2180	−	28.4160i	1.65351	−	0.954655i
$887$	4.07510	−	7.05829i	0.136829	−	0.236994i	−0.789466	−	0.613794i	$-0.789642\pi$
$887$	4.07510	−	7.05829i	0.136829	−	0.236994i	0.926295	+	0.376800i	$0.122976\pi$
$888$	2.33177			0.0782490
$889$	25.6463	−	43.2410i	0.860150	−	1.45026i
$890$			17.3029i			0.579995i
$891$	−4.76616	−	2.75174i	−0.159672	−	0.0921869i
$892$	−2.40199	+	1.38679i	−0.0804247	+	0.0464332i
$893$	−9.72391	−	16.8423i	−0.325398	−	0.563606i
$894$	−5.14817	+	8.91690i	−0.172181	+	0.298226i
$895$			0.819256i			0.0273847i
$896$	−31.2420	+	17.5521i	−1.04372	+	0.586374i
$897$	−10.9467	+	8.06146i	−0.365499	+	0.269164i
$898$	20.1747	−	34.9436i	0.673239	−	1.16608i
$899$	2.36876	−	1.36760i	0.0790026	−	0.0456122i
$900$	0.0919380	+	0.159241i	0.00306460	+	0.00530804i
$901$	−48.3105	+	83.6763i	−1.60946	+	2.78766i
$902$			41.6998i			1.38845i
$903$	−12.9464	−	0.151913i	−0.430828	−	0.00505533i
$904$			12.4707i			0.414770i
$905$	−18.5338	−	10.7005i	−0.616084	−	0.355696i
$906$	14.4278	+	24.9898i	0.479333	+	0.830229i
$907$	−12.2060	−	21.1414i	−0.405294	−	0.701989i	0.589062	−	0.808088i	$-0.299497\pi$
$907$	−12.2060	−	21.1414i	−0.405294	−	0.701989i	−0.994356	+	0.106099i	$0.966164\pi$
$908$	−2.65322	−	1.53184i	−0.0880504	−	0.0508359i
$909$	10.1083			0.335272
$910$	25.8137	−	18.5468i	0.855716	−	0.614821i
$911$	11.3864			0.377248			0.188624	−	0.982049i	$-0.439597\pi$
$911$	11.3864			0.377248			0.188624	+	0.982049i	$0.439597\pi$
$912$	14.9619	+	8.63823i	0.495437	+	0.286040i
$913$	−28.8473	−	49.9651i	−0.954708	−	1.65360i
$914$	31.3513	+	54.3021i	1.03701	+	1.79615i
$915$	6.71779	+	3.87852i	0.222083	+	0.128220i
$916$		−	5.56823i		−	0.183979i
$917$	14.1908	+	25.2590i	0.468621	+	0.834127i
$918$			11.5865i			0.382413i
$919$	16.3008	−	28.2337i	0.537712	−	0.931345i	−0.461315	−	0.887237i	$-0.652622\pi$
$919$	16.3008	−	28.2337i	0.537712	−	0.931345i	0.999027	−	0.0441082i	$-0.0140446\pi$
$920$	−9.86982	−	17.0950i	−0.325398	−	0.563607i
$921$	21.9967	−	12.6998i	0.724817	−	0.418473i
$922$	−20.7973	+	36.0220i	−0.684923	+	1.18632i
$923$	−25.2276	−	34.2566i	−0.830376	−	1.12757i
$924$	−5.37029	−	3.18513i	−0.176670	−	0.104783i
$925$			0.408340i			0.0134261i
$926$	−3.59965	+	6.23478i	−0.118292	+	0.204888i
$927$	−5.93170	−	10.2740i	−0.194823	−	0.337443i
$928$	1.86684	−	1.07782i	0.0612819	−	0.0353811i
$929$	19.5941	+	11.3127i	0.642863	+	0.371157i	0.785717	−	0.618587i	$-0.212294\pi$
$929$	19.5941	+	11.3127i	0.642863	+	0.371157i	−0.142854	+	0.989744i	$0.545628\pi$
$930$			10.0902i			0.330870i
$931$	−0.607163	+	25.8684i	−0.0198989	+	0.847801i
$932$	−8.45581			−0.276979
$933$	10.4629	−	18.1222i	0.342539	−	0.593295i
$934$	−23.1596	+	13.3712i	−0.757805	+	0.437519i
$935$	−43.7401	−	75.7601i	−1.43045	−	2.47762i
$936$	−8.77423	+	0.979390i	−0.286795	+	0.0320123i
$937$	9.49113			0.310062			0.155031	−	0.987910i	$-0.450452\pi$
$937$	9.49113			0.310062			0.155031	+	0.987910i	$0.450452\pi$
$938$	−3.71323	+	6.26069i	−0.121241	+	0.204419i
$939$	−12.7117			−0.414829
$940$	2.41172	−	4.17723i	0.0786618	−	0.136246i
$941$	48.6155	−	28.0682i	1.58482	−	0.914997i	0.590680	−	0.806906i	$-0.298860\pi$
$941$	48.6155	−	28.0682i	1.58482	−	0.914997i	0.994141	−	0.108090i	$-0.0344736\pi$
$942$	0.0152449	−	0.00880162i	0.000496704	−	0.000286772i
$943$	−15.8756	−	9.16576i	−0.516979	−	0.298478i
$944$		−	39.4190i		−	1.28298i
$945$	−4.93170	+	2.77068i	−0.160428	+	0.0901302i
$946$	41.9723			1.36464
$947$	−20.7809	−	11.9978i	−0.675288	−	0.389878i	0.122789	−	0.992433i	$-0.460816\pi$
$947$	−20.7809	−	11.9978i	−0.675288	−	0.389878i	−0.798077	+	0.602555i	$0.794149\pi$
$948$	3.27788	+	5.67746i	0.106461	+	0.184395i
$949$	−10.7361	+	24.5378i	−0.348508	+	0.796530i
$950$	−1.23515	+	2.13934i	−0.0400735	+	0.0694094i
$951$			12.8697i			0.417328i
$952$	0.565130	−	48.1618i	0.0183160	−	1.56093i
$953$	35.6072			1.15343			0.576715	−	0.816946i	$-0.304334\pi$
$953$	35.6072			1.15343			0.576715	+	0.816946i	$0.304334\pi$
$954$	−17.5405	−	10.1270i	−0.567894	−	0.327874i
$955$	−19.6021	+	11.3173i	−0.634309	+	0.366219i
$956$	−7.75219	+	4.47573i	−0.250724	+	0.144755i
$957$	−4.30499	−	2.48549i	−0.139161	−	0.0803444i
$958$	−44.6168			−1.44150
$959$	0.0511390	−	4.35818i	0.00165136	−	0.140733i
$960$		−	12.0331i		−	0.388367i
$961$	−10.9150	+	18.9052i	−0.352095	+	0.609847i
$962$	4.90222	+	2.14488i	0.158054	+	0.0691537i
$963$	5.77885	+	10.0093i	0.186221	+	0.322544i
$964$	−6.38170	−	3.68447i	−0.205541	−	0.118669i
$965$	16.2108			0.521843
$966$	13.5543	−	7.61495i	0.436103	−	0.245007i
$967$			54.8608i			1.76420i	0.471058	+	0.882102i	$0.343872\pi$
$967$			54.8608i			1.76420i	−0.471058	+	0.882102i	$0.656128\pi$
$968$	−40.9027	−	23.6152i	−1.31466	−	0.759020i
$969$	−23.8001	+	13.7410i	−0.764569	+	0.441424i
$970$	−20.3782	+	11.7654i	−0.654306	+	0.377764i
$971$	−12.8520	+	22.2604i	−0.412441	+	0.714369i	−0.995156	−	0.0983076i	$-0.968657\pi$
$971$	−12.8520	+	22.2604i	−0.412441	+	0.714369i	0.582715	+	0.812677i	$0.301990\pi$
$972$	−0.428808			−0.0137540
$973$	3.80307	−	6.41216i	0.121921	−	0.205564i
$974$	24.5085			0.785303
$975$	−0.171511	−	1.53655i	−0.00549275	−	0.0492088i
$976$	−8.47843	−	14.6851i	−0.271388	−	0.470058i
$977$	34.0689	−	19.6697i	1.08996	−	0.629289i	0.156394	−	0.987695i	$-0.450013\pi$
$977$	34.0689	−	19.6697i	1.08996	−	0.629289i	0.933566	+	0.358406i	$0.116680\pi$
$978$	−1.42399	+	2.46642i	−0.0455341	+	0.0788673i
$979$	−28.5789			−0.913386
$980$	−5.63160	+	3.07752i	−0.179895	+	0.0983078i
$981$		−	12.4085i		−	0.396171i
$982$	46.1603	+	26.6507i	1.47304	+	0.850458i
$983$	−32.5998	+	18.8215i	−1.03977	+	0.600314i	−0.919769	−	0.392460i	$-0.871624\pi$
$983$	−32.5998	+	18.8215i	−1.03977	+	0.600314i	−0.120004	+	0.992773i	$0.538291\pi$
$984$	−5.95245	−	10.3099i	−0.189757	−	0.328669i
$985$	−6.17065	+	10.6879i	−0.196613	+	0.340544i
$986$			10.4654i			0.333287i
$987$	−11.9723	−	7.10081i	−0.381083	−	0.226021i
$988$	3.38897	+	4.60189i	0.107817	+	0.146406i
$989$	−9.22565	+	15.9793i	−0.293359	+	0.508112i
$990$	15.8811	−	9.16894i	0.504734	−	0.291408i
$991$	−30.3909	−	52.6386i	−0.965399	−	1.67212i	−0.708540	−	0.705671i	$-0.750646\pi$
$991$	−30.3909	−	52.6386i	−0.965399	−	1.67212i	−0.256859	−	0.966449i	$-0.582688\pi$
$992$	3.61351	−	6.25878i	0.114729	−	0.198717i
$993$			27.4552i			0.871263i
$994$	23.8303	+	42.4169i	0.755850	+	1.34538i
$995$			55.0130i			1.74403i
$996$	−3.89306	−	2.24766i	−0.123356	−	0.0712198i
$997$	−9.03612	−	15.6510i	−0.286177	−	0.495673i	0.686717	−	0.726925i	$-0.259051\pi$
$997$	−9.03612	−	15.6510i	−0.286177	−	0.495673i	−0.972894	+	0.231252i	$0.925718\pi$
$998$	−10.7152	−	18.5593i	−0.339185	−	0.587485i
$999$	−0.824689	−	0.476134i	−0.0260920	−	0.0150642i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bj.c.142.7	yes	16
3.2	odd	2		819.2.dl.f.415.2		16
7.2	even	3		1911.2.c.n.883.2		8
7.4	even	3	inner	273.2.bj.c.25.2	✓	16
7.5	odd	6		1911.2.c.k.883.2		8
13.12	even	2	inner	273.2.bj.c.142.2	yes	16
21.11	odd	6		819.2.dl.f.298.7		16
39.38	odd	2		819.2.dl.f.415.7		16
91.12	odd	6		1911.2.c.k.883.7		8
91.25	even	6	inner	273.2.bj.c.25.7	yes	16
91.51	even	6		1911.2.c.n.883.7		8
273.116	odd	6		819.2.dl.f.298.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bj.c.25.2	✓	16	7.4	even	3	inner
273.2.bj.c.25.7	yes	16	91.25	even	6	inner
273.2.bj.c.142.2	yes	16	13.12	even	2	inner
273.2.bj.c.142.7	yes	16	1.1	even	1	trivial
819.2.dl.f.298.2		16	273.116	odd	6
819.2.dl.f.298.7		16	21.11	odd	6
819.2.dl.f.415.2		16	3.2	odd	2
819.2.dl.f.415.7		16	39.38	odd	2
1911.2.c.k.883.2		8	7.5	odd	6
1911.2.c.k.883.7		8	91.12	odd	6
1911.2.c.n.883.2		8	7.2	even	3
1911.2.c.n.883.7		8	91.51	even	6

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.34967 + 0.779232i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.214404 + 0.371358i) q^{4} +(-1.85159 - 1.06902i) q^{5} -1.55846i q^{6} +(1.34967 - 2.27561i) q^{7} -2.44865i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(1.34967 + 0.779232i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.214404 + 0.371358i) q^{4} +(-1.85159 - 1.06902i) q^{5} -1.55846i q^{6} +(1.34967 - 2.27561i) q^{7} -2.44865i q^{8} +(-0.500000 + 0.866025i) q^{9} +(-1.66602 - 2.88564i) q^{10} +(4.76616 - 2.75174i) q^{11} +(0.214404 - 0.371358i) q^{12} +(-2.90324 + 2.13803i) q^{13} +(3.59483 - 2.01961i) q^{14} +2.13803i q^{15} +(2.33687 - 4.04758i) q^{16} +(3.71730 + 6.43855i) q^{17} +(-1.34967 + 0.779232i) q^{18} +(-3.20126 - 1.84825i) q^{19} -0.916805i q^{20} +(-2.64557 - 0.0310431i) q^{21} +8.57698 q^{22} +(-1.88525 + 3.26535i) q^{23} +(-2.12059 + 1.22432i) q^{24} +(-0.214404 - 0.371358i) q^{25} +(-5.58444 + 0.623342i) q^{26} +1.00000 q^{27} +(1.13444 + 0.0133115i) q^{28} +0.903241 q^{29} +(-1.66602 + 2.88564i) q^{30} +(2.62251 - 1.51411i) q^{31} +(2.06682 - 1.19328i) q^{32} +(-4.76616 - 2.75174i) q^{33} +11.5865i q^{34} +(-4.93170 + 2.77068i) q^{35} -0.428808 q^{36} +(-0.824689 - 0.476134i) q^{37} +(-2.88043 - 4.98905i) q^{38} +(3.30321 + 1.44526i) q^{39} +(-2.61764 + 4.53389i) q^{40} +4.86183i q^{41} +(-3.54645 - 2.10341i) q^{42} +4.89360 q^{43} +(2.04376 + 1.17997i) q^{44} +(1.85159 - 1.06902i) q^{45} +(-5.08892 + 2.93809i) q^{46} +(4.55629 + 2.63057i) q^{47} -4.67374 q^{48} +(-3.35679 - 6.14264i) q^{49} -0.668281i q^{50} +(3.71730 - 6.43855i) q^{51} +(-1.41644 - 0.619740i) q^{52} +(6.49807 + 11.2550i) q^{53} +(1.34967 + 0.779232i) q^{54} -11.7666 q^{55} +(-5.57216 - 3.30486i) q^{56} +3.69650i q^{57} +(1.21908 + 0.703834i) q^{58} +(7.30419 - 4.21708i) q^{59} +(-0.793977 + 0.458403i) q^{60} +(1.81406 - 3.14204i) q^{61} +4.71936 q^{62} +(1.29590 + 2.30665i) q^{63} -5.62811 q^{64} +(7.66121 - 0.855154i) q^{65} +(-4.28849 - 7.42788i) q^{66} +(-1.52883 + 0.882669i) q^{67} +(-1.59401 + 2.76090i) q^{68} +3.77050 q^{69} +(-8.81516 - 0.103437i) q^{70} +11.7994i q^{71} +(2.12059 + 1.22432i) q^{72} +(6.43323 - 3.71423i) q^{73} +(-0.742038 - 1.28525i) q^{74} +(-0.214404 + 0.371358i) q^{75} -1.58509i q^{76} +(0.170845 - 14.5599i) q^{77} +(3.33205 + 4.52459i) q^{78} +(-7.64418 + 13.2401i) q^{79} +(-8.65386 + 4.99631i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-3.78849 + 6.56186i) q^{82} -10.4833i q^{83} +(-0.555692 - 0.989110i) q^{84} -15.8954i q^{85} +(6.60474 + 3.81325i) q^{86} +(-0.451620 - 0.782230i) q^{87} +(-6.73804 - 11.6706i) q^{88} +(-4.49716 - 2.59644i) q^{89} +3.33205 q^{90} +(0.946917 + 9.49228i) q^{91} -1.61682 q^{92} +(-2.62251 - 1.51411i) q^{93} +(4.09965 + 7.10081i) q^{94} +(3.95162 + 6.84441i) q^{95} +(-2.06682 - 1.19328i) q^{96} -7.06195i q^{97} +(0.255983 - 10.9062i) q^{98} +5.50349i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 8 q^{3} + 6 q^{4} - 8 q^{9}+O(q^{10}) \) 16 * q - 8 * q^3 + 6 * q^4 - 8 * q^9	\( 16 q - 8 q^{3} + 6 q^{4} - 8 q^{9} - 4 q^{10} + 6 q^{12} + 4 q^{13} + 40 q^{14} - 10 q^{16} - 8 q^{17} - 8 q^{22} - 8 q^{23} - 6 q^{25} - 4 q^{26} + 16 q^{27} - 36 q^{29} - 4 q^{30} - 14 q^{35} - 12 q^{36} - 26 q^{38} - 2 q^{39} + 6 q^{40} - 14 q^{42} + 32 q^{43} + 20 q^{48} - 46 q^{49} - 8 q^{51} + 40 q^{52} + 36 q^{53} - 8 q^{55} + 54 q^{56} + 12 q^{61} - 80 q^{62} - 56 q^{64} + 34 q^{65} + 4 q^{66} + 10 q^{68} + 16 q^{69} + 18 q^{74} - 6 q^{75} - 22 q^{77} + 8 q^{78} + 8 q^{79} - 8 q^{81} + 12 q^{82} + 18 q^{87} - 98 q^{88} + 8 q^{90} + 16 q^{91} + 40 q^{92} + 46 q^{94} + 38 q^{95}+O(q^{100}) \) 16 * q - 8 * q^3 + 6 * q^4 - 8 * q^9 - 4 * q^10 + 6 * q^12 + 4 * q^13 + 40 * q^14 - 10 * q^16 - 8 * q^17 - 8 * q^22 - 8 * q^23 - 6 * q^25 - 4 * q^26 + 16 * q^27 - 36 * q^29 - 4 * q^30 - 14 * q^35 - 12 * q^36 - 26 * q^38 - 2 * q^39 + 6 * q^40 - 14 * q^42 + 32 * q^43 + 20 * q^48 - 46 * q^49 - 8 * q^51 + 40 * q^52 + 36 * q^53 - 8 * q^55 + 54 * q^56 + 12 * q^61 - 80 * q^62 - 56 * q^64 + 34 * q^65 + 4 * q^66 + 10 * q^68 + 16 * q^69 + 18 * q^74 - 6 * q^75 - 22 * q^77 + 8 * q^78 + 8 * q^79 - 8 * q^81 + 12 * q^82 + 18 * q^87 - 98 * q^88 + 8 * q^90 + 16 * q^91 + 40 * q^92 + 46 * q^94 + 38 * q^95

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