LMFDB - Embedded newform 495.2.u.a.364.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(34,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("495.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.u (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:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$52$
Relative dimension:	$26$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			364.24
Character	$\chi$	$=$	495.364
Dual form			495.2.u.a.34.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.02226 - 1.16755i) q^{2} +(0.597351 - 1.62578i) q^{3} +(1.72636 - 2.99014i) q^{4} +(1.74145 + 1.40263i) q^{5} +(-0.690190 - 3.98520i) q^{6} +(-1.18589 + 0.684674i) q^{7} -3.39225i q^{8} +(-2.28634 - 1.94233i) q^{9} +O(q^{10})$	\(q+(2.02226 - 1.16755i) q^{2} +(0.597351 - 1.62578i) q^{3} +(1.72636 - 2.99014i) q^{4} +(1.74145 + 1.40263i) q^{5} +(-0.690190 - 3.98520i) q^{6} +(-1.18589 + 0.684674i) q^{7} -3.39225i q^{8} +(-2.28634 - 1.94233i) q^{9} +(5.15930 + 0.803244i) q^{10} +(-0.500000 - 0.866025i) q^{11} +(-3.83008 - 4.59285i) q^{12} +(-0.842973 - 0.486691i) q^{13} +(-1.59879 + 2.76918i) q^{14} +(3.32062 - 1.99336i) q^{15} +(-0.507914 - 0.879733i) q^{16} +0.509654i q^{17} +(-6.89135 - 1.25846i) q^{18} +2.24180 q^{19} +(7.20042 - 2.78574i) q^{20} +(0.404740 + 2.33699i) q^{21} +(-2.02226 - 1.16755i) q^{22} +(-3.88973 - 2.24574i) q^{23} +(-5.51507 - 2.02636i) q^{24} +(1.06528 + 4.88520i) q^{25} -2.27295 q^{26} +(-4.52355 + 2.55685i) q^{27} +4.72797i q^{28} +(2.63463 + 4.56331i) q^{29} +(4.38781 - 7.90809i) q^{30} +(-0.491991 + 0.852154i) q^{31} +(3.82128 + 2.20622i) q^{32} +(-1.70665 + 0.295571i) q^{33} +(0.595048 + 1.03065i) q^{34} +(-3.02551 - 0.471037i) q^{35} +(-9.75488 + 3.48334i) q^{36} +5.38918i q^{37} +(4.53351 - 2.61743i) q^{38} +(-1.29480 + 1.07977i) q^{39} +(4.75806 - 5.90743i) q^{40} +(-0.164663 + 0.285205i) q^{41} +(3.54705 + 4.25345i) q^{42} +(4.53493 - 2.61824i) q^{43} -3.45272 q^{44} +(-1.25719 - 6.58934i) q^{45} -10.4881 q^{46} +(-6.45398 + 3.72620i) q^{47} +(-1.73366 + 0.300249i) q^{48} +(-2.56244 + 4.43828i) q^{49} +(7.85800 + 8.63538i) q^{50} +(0.828587 + 0.304442i) q^{51} +(-2.91055 + 1.68041i) q^{52} -6.40586i q^{53} +(-6.16254 + 10.4521i) q^{54} +(0.343986 - 2.20945i) q^{55} +(2.32259 + 4.02284i) q^{56} +(1.33914 - 3.64469i) q^{57} +(10.6558 + 6.15214i) q^{58} +(-3.01601 + 5.22388i) q^{59} +(-0.227837 - 13.3704i) q^{60} +(-2.08088 - 3.60419i) q^{61} +2.29770i q^{62} +(4.04121 + 0.737984i) q^{63} +12.3352 q^{64} +(-0.785348 - 2.02992i) q^{65} +(-3.10619 + 2.59032i) q^{66} +(-9.72442 - 5.61440i) q^{67} +(1.52394 + 0.879846i) q^{68} +(-5.97462 + 4.98237i) q^{69} +(-6.66833 + 2.57988i) q^{70} +13.6088 q^{71} +(-6.58886 + 7.75586i) q^{72} -14.7107i q^{73} +(6.29215 + 10.8983i) q^{74} +(8.57862 + 1.18626i) q^{75} +(3.87016 - 6.70331i) q^{76} +(1.18589 + 0.684674i) q^{77} +(-1.35775 + 3.69532i) q^{78} +(-8.77771 - 15.2034i) q^{79} +(0.349431 - 2.24442i) q^{80} +(1.45474 + 8.88165i) q^{81} +0.769012i q^{82} +(2.37391 - 1.37058i) q^{83} +(7.68666 + 2.82426i) q^{84} +(-0.714854 + 0.887536i) q^{85} +(6.11387 - 10.5895i) q^{86} +(8.99275 - 1.55744i) q^{87} +(-2.93778 + 1.69613i) q^{88} +9.93938 q^{89} +(-10.2358 - 11.8575i) q^{90} +1.33290 q^{91} +(-13.4302 + 7.75390i) q^{92} +(1.09153 + 1.30891i) q^{93} +(-8.70108 + 15.0707i) q^{94} +(3.90399 + 3.14441i) q^{95} +(5.86948 - 4.89469i) q^{96} +(-13.0026 + 7.50705i) q^{97} +11.9671i q^{98} +(-0.538931 + 2.95120i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 52 q + 20 q^{4} + q^{5} + 4 q^{6} + 6 q^{9}+O(q^{10}) $ 52 * q + 20 * q^4 + q^5 + 4 * q^6 + 6 * q^9	$ 52 q + 20 q^{4} + q^{5} + 4 q^{6} + 6 q^{9} - 26 q^{11} - 10 q^{14} - 8 q^{16} + 40 q^{19} - 11 q^{20} - 26 q^{21} - 36 q^{24} + q^{25} - 24 q^{26} - 6 q^{29} + 4 q^{30} + 30 q^{31} - 22 q^{34} + 64 q^{36} + 4 q^{39} - 15 q^{40} + 6 q^{41} - 40 q^{44} - 25 q^{45} - 84 q^{46} - 12 q^{49} - 55 q^{50} + 12 q^{51} + 2 q^{54} - 2 q^{55} + 30 q^{56} - 30 q^{59} + 39 q^{60} + 74 q^{61} + 20 q^{64} + 7 q^{65} - 2 q^{66} - 30 q^{69} - 28 q^{70} - 48 q^{71} + 14 q^{74} + 94 q^{75} + 74 q^{76} - 32 q^{79} - 10 q^{80} - 30 q^{81} + 132 q^{84} - 25 q^{85} + 14 q^{86} + 92 q^{89} - 73 q^{90} - 104 q^{91} - 50 q^{94} + 6 q^{95} + 60 q^{96} + 6 q^{99}+O(q^{100}) $ 52 * q + 20 * q^4 + q^5 + 4 * q^6 + 6 * q^9 - 26 * q^11 - 10 * q^14 - 8 * q^16 + 40 * q^19 - 11 * q^20 - 26 * q^21 - 36 * q^24 + q^25 - 24 * q^26 - 6 * q^29 + 4 * q^30 + 30 * q^31 - 22 * q^34 + 64 * q^36 + 4 * q^39 - 15 * q^40 + 6 * q^41 - 40 * q^44 - 25 * q^45 - 84 * q^46 - 12 * q^49 - 55 * q^50 + 12 * q^51 + 2 * q^54 - 2 * q^55 + 30 * q^56 - 30 * q^59 + 39 * q^60 + 74 * q^61 + 20 * q^64 + 7 * q^65 - 2 * q^66 - 30 * q^69 - 28 * q^70 - 48 * q^71 + 14 * q^74 + 94 * q^75 + 74 * q^76 - 32 * q^79 - 10 * q^80 - 30 * q^81 + 132 * q^84 - 25 * q^85 + 14 * q^86 + 92 * q^89 - 73 * q^90 - 104 * q^91 - 50 * q^94 + 6 * q^95 + 60 * q^96 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$	$-1$

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 $

$2$	2.02226	−	1.16755i	1.42995	−	0.825585i	0.432838	−	0.901472i	$-0.357512\pi$
$2$	2.02226	−	1.16755i	1.42995	−	0.825585i	0.997116	+	0.0758872i	$0.0241789\pi$
$3$	0.597351	−	1.62578i	0.344881	−	0.938647i
$3$	0.597351	−	1.62578i	0.344881	−	0.938647i
$4$	1.72636	−	2.99014i	0.863180	−	1.49507i
$5$	1.74145	+	1.40263i	0.778799	+	0.627273i
$5$	1.74145	+	1.40263i	0.778799	+	0.627273i
$6$	−0.690190	−	3.98520i	−0.281769	−	1.62695i
$7$	−1.18589	+	0.684674i	−0.448224	+	0.258783i	−0.707080	−	0.707134i	$-0.749988\pi$
$7$	−1.18589	+	0.684674i	−0.448224	+	0.258783i	0.258856	+	0.965916i	$0.416655\pi$
$8$		−	3.39225i		−	1.19934i
$9$	−2.28634	−	1.94233i	−0.762115	−	0.647442i
$10$	5.15930	+	0.803244i	1.63151	+	0.254008i
$11$	−0.500000	−	0.866025i	−0.150756	−	0.261116i
$11$	−0.500000	−	0.866025i	−0.150756	−	0.261116i
$12$	−3.83008	−	4.59285i	−1.10565	−	1.32584i
$13$	−0.842973	−	0.486691i	−0.233799	−	0.134984i	0.378525	−	0.925591i	$-0.376432\pi$
$13$	−0.842973	−	0.486691i	−0.233799	−	0.134984i	−0.612323	+	0.790608i	$0.709765\pi$
$14$	−1.59879	+	2.76918i	−0.427294	+	0.740094i
$15$	3.32062	−	1.99336i	0.857381	−	0.514683i
$16$	−0.507914	−	0.879733i	−0.126978	−	0.219933i
$17$			0.509654i			0.123609i	0.998088	+	0.0618046i	$0.0196856\pi$
$17$			0.509654i			0.123609i	−0.998088	+	0.0618046i	$0.980314\pi$
$18$	−6.89135	−	1.25846i	−1.62431	−	0.296622i
$19$	2.24180			0.514305			0.257153	−	0.966371i	$-0.417216\pi$
$19$	2.24180			0.514305			0.257153	+	0.966371i	$0.417216\pi$
$20$	7.20042	−	2.78574i	1.61006	−	0.622910i
$21$	0.404740	+	2.33699i	0.0883215	+	0.509973i
$22$	−2.02226	−	1.16755i	−0.431147	−	0.248923i
$23$	−3.88973	−	2.24574i	−0.811065	−	0.468269i	0.0362604	−	0.999342i	$-0.488455\pi$
$23$	−3.88973	−	2.24574i	−0.811065	−	0.468269i	−0.847326	+	0.531074i	$0.821789\pi$
$24$	−5.51507	−	2.02636i	−1.12576	−	0.413630i
$25$	1.06528	+	4.88520i	0.213056	+	0.977040i
$26$	−2.27295			−0.445762
$27$	−4.52355	+	2.55685i	−0.870558	+	0.492066i
$28$			4.72797i			0.893503i
$29$	2.63463	+	4.56331i	0.489238	+	0.847385i	0.999923	−	0.0123824i	$-0.00394154\pi$
$29$	2.63463	+	4.56331i	0.489238	+	0.847385i	−0.510685	+	0.859768i	$0.670608\pi$
$30$	4.38781	−	7.90809i	0.801101	−	1.44381i
$31$	−0.491991	+	0.852154i	−0.0883642	+	0.153051i	−0.906820	−	0.421518i	$-0.861497\pi$
$31$	−0.491991	+	0.852154i	−0.0883642	+	0.153051i	0.818456	+	0.574570i	$0.194831\pi$
$32$	3.82128	+	2.20622i	0.675514	+	0.390008i
$33$	−1.70665	+	0.295571i	−0.297089	+	0.0514523i
$34$	0.595048	+	1.03065i	0.102050	+	0.176756i
$35$	−3.02551	−	0.471037i	−0.511404	−	0.0796197i
$36$	−9.75488	+	3.48334i	−1.62581	+	0.580557i
$37$			5.38918i			0.885976i	0.896528	+	0.442988i	$0.146082\pi$
$37$			5.38918i			0.885976i	−0.896528	+	0.442988i	$0.853918\pi$
$38$	4.53351	−	2.61743i	0.735433	−	0.424602i
$39$	−1.29480	+	1.07977i	−0.207335	+	0.172901i
$40$	4.75806	−	5.90743i	0.752315	−	0.934046i
$41$	−0.164663	+	0.285205i	−0.0257161	+	0.0445415i	−0.878597	−	0.477564i	$-0.841520\pi$
$41$	−0.164663	+	0.285205i	−0.0257161	+	0.0445415i	0.852881	+	0.522105i	$0.174853\pi$
$42$	3.54705	+	4.25345i	0.547322	+	0.656322i
$43$	4.53493	−	2.61824i	0.691570	−	0.399278i	−0.112630	−	0.993637i	$-0.535927\pi$
$43$	4.53493	−	2.61824i	0.691570	−	0.399278i	0.804200	+	0.594359i	$0.202594\pi$
$44$	−3.45272			−0.520517
$45$	−1.25719	−	6.58934i	−0.187411	−	0.982282i
$46$	−10.4881			−1.54638
$47$	−6.45398	+	3.72620i	−0.941409	+	0.543523i	−0.890402	−	0.455175i	$-0.849577\pi$
$47$	−6.45398	+	3.72620i	−0.941409	+	0.543523i	−0.0510074	+	0.998698i	$0.516243\pi$
$48$	−1.73366	+	0.300249i	−0.250232	+	0.0433373i
$49$	−2.56244	+	4.43828i	−0.366063	+	0.634040i
$50$	7.85800	+	8.63538i	1.11129	+	1.22123i
$51$	0.828587	+	0.304442i	0.116025	+	0.0426304i
$52$	−2.91055	+	1.68041i	−0.403620	+	0.233030i
$53$		−	6.40586i		−	0.879913i	−0.898019	−	0.439956i	$-0.854994\pi$
$53$		−	6.40586i		−	0.879913i	0.898019	−	0.439956i	$-0.145006\pi$
$54$	−6.16254	+	10.4521i	−0.838615	+	1.42235i
$55$	0.343986	−	2.20945i	0.0463831	−	0.297922i
$56$	2.32259	+	4.02284i	0.310369	+	0.537574i
$57$	1.33914	−	3.64469i	0.177374	−	0.482751i
$58$	10.6558	+	6.15214i	1.39918	+	0.807815i
$59$	−3.01601	+	5.22388i	−0.392651	+	0.680092i	−0.992798	−	0.119798i	$-0.961775\pi$
$59$	−3.01601	+	5.22388i	−0.392651	+	0.680092i	0.600147	+	0.799890i	$0.295109\pi$
$60$	−0.227837	−	13.3704i	−0.0294136	−	1.72611i
$61$	−2.08088	−	3.60419i	−0.266429	−	0.461469i	0.701508	−	0.712662i	$-0.252511\pi$
$61$	−2.08088	−	3.60419i	−0.266429	−	0.461469i	−0.967937	+	0.251193i	$0.919177\pi$
$62$			2.29770i			0.291809i
$63$	4.04121	+	0.737984i	0.509145	+	0.0929773i
$64$	12.3352			1.54190
$65$	−0.785348	−	2.02992i	−0.0974104	−	0.251781i
$66$	−3.10619	+	2.59032i	−0.382345	+	0.318846i
$67$	−9.72442	−	5.61440i	−1.18803	−	0.685908i	−0.230170	−	0.973151i	$-0.573928\pi$
$67$	−9.72442	−	5.61440i	−1.18803	−	0.685908i	−0.957858	+	0.287243i	$0.907261\pi$
$68$	1.52394	+	0.879846i	0.184805	+	0.106697i
$69$	−5.97462	+	4.98237i	−0.719259	+	0.599807i
$70$	−6.66833	+	2.57988i	−0.797018	+	0.308355i
$71$	13.6088			1.61507			0.807535	−	0.589820i	$-0.200801\pi$
$71$	13.6088			1.61507			0.807535	+	0.589820i	$0.200801\pi$
$72$	−6.58886	+	7.75586i	−0.776504	+	0.914036i
$73$		−	14.7107i		−	1.72175i	−0.508815	−	0.860876i	$-0.669916\pi$
$73$		−	14.7107i		−	1.72175i	0.508815	−	0.860876i	$-0.330084\pi$
$74$	6.29215	+	10.8983i	0.731448	+	1.26690i
$75$	8.57862	+	1.18626i	0.990574	+	0.136978i
$76$	3.87016	−	6.70331i	0.443938	−	0.768923i
$77$	1.18589	+	0.684674i	0.135145	+	0.0780259i
$78$	−1.35775	+	3.69532i	−0.153735	+	0.418413i
$79$	−8.77771	−	15.2034i	−0.987570	−	1.71052i	−0.629908	−	0.776670i	$-0.716907\pi$
$79$	−8.77771	−	15.2034i	−0.987570	−	1.71052i	−0.357662	−	0.933851i	$-0.616426\pi$
$80$	0.349431	−	2.24442i	0.0390675	−	0.250934i
$81$	1.45474	+	8.88165i	0.161638	+	0.986850i
$82$			0.769012i			0.0849231i
$83$	2.37391	−	1.37058i	0.260571	−	0.150441i	−0.364024	−	0.931390i	$-0.618597\pi$
$83$	2.37391	−	1.37058i	0.260571	−	0.150441i	0.624595	+	0.780949i	$0.285264\pi$
$84$	7.68666	+	2.82426i	0.838684	+	0.308152i
$85$	−0.714854	+	0.887536i	−0.0775368	+	0.0962668i
$86$	6.11387	−	10.5895i	0.659275	−	1.14190i
$87$	8.99275	−	1.55744i	0.964124	−	0.166975i
$88$	−2.93778	+	1.69613i	−0.313168	+	0.180808i
$89$	9.93938			1.05357			0.526786	−	0.849998i	$-0.323397\pi$
$89$	9.93938			1.05357			0.526786	+	0.849998i	$0.323397\pi$
$90$	−10.2358	−	11.8575i	−1.07895	−	1.24989i
$91$	1.33290			0.139726
$92$	−13.4302	+	7.75390i	−1.40019	+	0.808400i
$93$	1.09153	+	1.30891i	0.113186	+	0.135727i
$94$	−8.70108	+	15.0707i	−0.897448	+	1.55443i
$95$	3.90399	+	3.14441i	0.400540	+	0.322610i
$96$	5.86948	−	4.89469i	0.599051	−	0.499562i
$97$	−13.0026	+	7.50705i	−1.32021	+	0.762225i	−0.983762	−	0.179476i	$-0.942560\pi$
$97$	−13.0026	+	7.50705i	−1.32021	+	0.762225i	−0.336451	+	0.941701i	$0.609227\pi$
$98$			11.9671i			1.20886i
$99$	−0.538931	+	2.95120i	−0.0541646	+	0.296606i
$100$	16.4465	+	5.24827i	1.64465	+	0.524827i
$101$	5.09647	+	8.82735i	0.507118	+	0.878354i	0.999966	+	0.00823875i	$0.00262251\pi$
$101$	5.09647	+	8.82735i	0.507118	+	0.878354i	−0.492848	+	0.870115i	$0.664044\pi$
$102$	2.03107	−	0.351758i	0.201106	−	0.0348292i
$103$	0.916556	+	0.529174i	0.0903110	+	0.0521411i	0.544475	−	0.838777i	$-0.316729\pi$
$103$	0.916556	+	0.529174i	0.0903110	+	0.0521411i	−0.454164	+	0.890918i	$0.650062\pi$
$104$	−1.65098	+	2.85958i	−0.161892	+	0.280404i
$105$	−2.57309	+	4.63745i	−0.251108	+	0.452569i
$106$	−7.47918	−	12.9543i	−0.726442	−	1.25823i
$107$			6.11414i			0.591076i	0.955331	+	0.295538i	$0.0954989\pi$
$107$			6.11414i			0.591076i	−0.955331	+	0.295538i	$0.904501\pi$
$108$	−0.163921	+	17.9401i	−0.0157733	+	1.72629i
$109$	17.1683			1.64442			0.822212	−	0.569182i	$-0.192740\pi$
$109$	17.1683			1.64442			0.822212	+	0.569182i	$0.192740\pi$
$110$	−1.88402	−	4.86971i	−0.179634	−	0.464308i
$111$	8.76164	+	3.21923i	0.831618	+	0.305556i
$112$	1.20466	+	0.695511i	0.113830	+	0.0657196i
$113$	−8.35408	−	4.82323i	−0.785886	−	0.453731i	0.0526265	−	0.998614i	$-0.483241\pi$
$113$	−8.35408	−	4.82323i	−0.785886	−	0.453731i	−0.838512	+	0.544883i	$0.816574\pi$
$114$	−1.54727	−	8.93403i	−0.144915	−	0.836749i
$115$	−3.62383	−	9.36668i	−0.337924	−	0.873447i
$116$	18.1933			1.68920
$117$	0.982015	+	2.75007i	0.0907873	+	0.254244i
$118$			14.0854i			1.29667i
$119$	−0.348947	−	0.604394i	−0.0319879	−	0.0554047i
$120$	−6.76197	−	11.2644i	−0.617281	−	1.02829i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	−8.41616	−	4.85907i	−0.761964	−	0.439920i
$123$	0.365320	+	0.438074i	0.0329398	+	0.0394998i
$124$	1.69871	+	2.94225i	0.152548	+	0.264222i
$125$	−4.99698	+	10.0015i	−0.446943	+	0.894562i
$126$	9.03403	−	3.22594i	0.804815	−	0.287389i
$127$		−	16.6360i		−	1.47621i	−0.674686	−	0.738105i	$-0.735721\pi$
$127$		−	16.6360i		−	1.47621i	0.674686	−	0.738105i	$-0.264279\pi$
$128$	17.3023	−	9.98952i	1.52933	−	0.882957i
$129$	−1.54775	−	8.93682i	−0.136272	−	0.786843i
$130$	−3.95822	−	3.18810i	−0.347159	−	0.279614i
$131$	9.92819	−	17.1961i	0.867430	−	1.50243i	0.00281539	−	0.999996i	$-0.499104\pi$
$131$	9.92819	−	17.1961i	0.867430	−	1.50243i	0.864614	−	0.502436i	$-0.167563\pi$
$132$	−2.06248	+	5.61337i	−0.179516	+	0.488581i
$133$	−2.65854	+	1.53491i	−0.230524	+	0.133093i
$134$	−26.2204			−2.26510
$135$	−11.4638	−	1.89222i	−0.986650	−	0.162857i
$136$	1.72887			0.148250
$137$	−16.2635	+	9.38974i	−1.38949	+	0.802220i	−0.993257	−	0.115932i	$-0.963014\pi$
$137$	−16.2635	+	9.38974i	−1.38949	+	0.802220i	−0.396228	+	0.918152i	$0.629681\pi$
$138$	−6.26506	+	17.0513i	−0.533317	+	1.45151i
$139$	−6.15730	+	10.6648i	−0.522255	+	0.904573i	0.477409	+	0.878681i	$0.341576\pi$
$139$	−6.15730	+	10.6648i	−0.522255	+	0.904573i	−0.999665	+	0.0258919i	$0.991757\pi$
$140$	−6.63158	+	8.23352i	−0.560471	+	0.695859i
$141$	2.20272	+	12.7186i	0.185502	+	1.07110i
$142$	27.5206	−	15.8890i	2.30948	−	1.33338i
$143$			0.973381i			0.0813982i
$144$	−0.547461	+	2.99791i	−0.0456217	+	0.249826i
$145$	−1.81255	+	11.6422i	−0.150524	+	0.966829i
$146$	−17.1755	−	29.7488i	−1.42145	−	2.46203i
$147$	5.68501	+	6.81719i	0.468891	+	0.562272i
$148$	16.1144	+	9.30366i	1.32460	+	0.764756i
$149$	−4.88540	+	8.46176i	−0.400228	+	0.693214i	−0.993753	−	0.111601i	$-0.964402\pi$
$149$	−4.88540	+	8.46176i	−0.400228	+	0.693214i	0.593526	+	0.804815i	$0.297736\pi$
$150$	18.7332	−	7.61706i	1.52956	−	0.621931i
$151$	−9.29221	−	16.0946i	−0.756189	−	1.30976i	−0.944781	−	0.327703i	$-0.893726\pi$
$151$	−9.29221	−	16.0946i	−0.756189	−	1.30976i	0.188592	−	0.982056i	$-0.439608\pi$
$152$		−	7.60476i		−	0.616828i
$153$	0.989914	−	1.16524i	0.0800298	−	0.0942044i
$154$	3.19757			0.257668
$155$	−2.05203	+	0.793901i	−0.164823	+	0.0637677i
$156$	0.993358	+	5.73571i	0.0795323	+	0.459224i
$157$	1.08225	+	0.624837i	0.0863730	+	0.0498675i	0.542564	−	0.840014i	$-0.317453\pi$
$157$	1.08225	+	0.624837i	0.0863730	+	0.0498675i	−0.456191	+	0.889882i	$0.650787\pi$
$158$	−35.5016	−	20.4969i	−2.82436	−	1.63064i
$159$	−10.4145	−	3.82654i	−0.825927	−	0.303465i
$160$	3.56006	+	9.20184i	0.281448	+	0.727470i
$161$	6.15040			0.484719
$162$	13.3117	+	16.2625i	1.04586	+	1.27770i
$163$		−	19.7896i		−	1.55004i	−0.631936	−	0.775021i	$-0.717739\pi$
$163$		−	19.7896i		−	1.55004i	0.631936	−	0.775021i	$-0.282261\pi$
$164$	0.568535	+	0.984732i	0.0443952	+	0.0768947i
$165$	−3.38661	−	1.87906i	−0.263647	−	0.146285i
$166$	3.20045	−	5.54334i	0.248403	−	0.430247i
$167$	−1.76934	−	1.02153i	−0.136916	−	0.0790484i	0.429977	−	0.902840i	$-0.358521\pi$
$167$	−1.76934	−	1.02153i	−0.136916	−	0.0790484i	−0.566893	+	0.823791i	$0.691855\pi$
$168$	7.92766	−	1.37298i	0.611633	−	0.105928i
$169$	−6.02626	−	10.4378i	−0.463559	−	0.802907i
$170$	−0.409376	+	2.62946i	−0.0313977	+	0.201670i
$171$	−5.12554	−	4.35431i	−0.391960	−	0.332983i
$172$		−	18.0801i		−	1.37859i
$173$	−3.11700	+	1.79960i	−0.236981	+	0.136821i	−0.613788	−	0.789471i	$-0.710355\pi$
$173$	−3.11700	+	1.79960i	−0.236981	+	0.136821i	0.376807	+	0.926292i	$0.377022\pi$
$174$	16.3673	−	13.6491i	1.24080	−	1.03473i
$175$	−4.60808	−	5.06394i	−0.348338	−	0.382798i
$176$	−0.507914	+	0.879733i	−0.0382855	+	0.0663123i
$177$	6.69129	+	8.02387i	0.502948	+	0.603111i
$178$	20.1000	−	11.6047i	1.50656	−	0.869813i
$179$	−9.18689			−0.686660			−0.343330	−	0.939215i	$-0.611555\pi$
$179$	−9.18689			−0.686660			−0.343330	+	0.939215i	$0.611555\pi$
$180$	−21.8734	−	7.61639i	−1.63035	−	0.567692i
$181$	1.75303			0.130302			0.0651510	−	0.997875i	$-0.479247\pi$
$181$	1.75303			0.130302			0.0651510	+	0.997875i	$0.479247\pi$
$182$	2.69547	−	1.55623i	0.199801	−	0.115355i
$183$	−7.10265	+	1.23010i	−0.525043	+	0.0909313i
$184$	−7.61811	+	13.1949i	−0.561614	+	0.972745i
$185$	−7.55900	+	9.38497i	−0.555749	+	0.689997i
$186$	3.73557	+	1.37253i	0.273905	+	0.100639i
$187$	0.441373	−	0.254827i	0.0322764	−	0.0186348i
$188$			25.7311i			1.87663i
$189$	3.61382	−	6.12931i	0.262867	−	0.445841i
$190$	11.5661	+	1.80072i	0.839096	+	0.130638i
$191$	8.36525	+	14.4890i	0.605288	+	1.04839i	0.992006	+	0.126191i	$0.0402754\pi$
$191$	8.36525	+	14.4890i	0.605288	+	1.04839i	−0.386718	+	0.922198i	$0.626391\pi$
$192$	7.36842	−	20.0543i	0.531770	−	1.44729i
$193$	−16.8197	−	9.71088i	−1.21071	−	0.699004i	−0.247797	−	0.968812i	$-0.579707\pi$
$193$	−16.8197	−	9.71088i	−1.21071	−	0.699004i	−0.962914	+	0.269808i	$0.913040\pi$
$194$	−17.5298	+	30.3624i	−1.25856	+	2.17989i
$195$	−3.76934	+	0.0642311i	−0.269928	+	0.00459969i
$196$	8.84739	+	15.3241i	0.631957	+	1.09458i
$197$			1.10197i			0.0785120i	0.999229	+	0.0392560i	$0.0124988\pi$
$197$			1.10197i			0.0785120i	−0.999229	+	0.0392560i	$0.987501\pi$
$198$	2.35582	+	6.59732i	0.167421	+	0.468851i
$199$	19.0068			1.34736			0.673678	−	0.739025i	$-0.264713\pi$
$199$	19.0068			1.34736			0.673678	+	0.739025i	$0.264713\pi$
$200$	16.5718	−	3.61370i	1.17180	−	0.255527i
$201$	−14.9367	+	12.4560i	−1.05355	+	0.878582i
$202$	20.6128	+	11.9008i	1.45031	+	0.837338i
$203$	−6.24876	−	3.60772i	−0.438577	−	0.253213i
$204$	2.34076	−	1.95202i	0.163886	−	0.136668i
$205$	−0.686788	+	0.265709i	−0.0479674	+	0.0185579i
$206$	2.47135			0.172187
$207$	4.53131	+	12.6897i	0.314948	+	0.881992i
$208$			0.988788i			0.0685601i
$209$	−1.12090	−	1.94146i	−0.0775344	−	0.134294i
$210$	0.211000	+	12.3824i	0.0145604	+	0.854463i
$211$	−7.26701	+	12.5868i	−0.500281	+	0.866513i	0.499718	+	0.866188i	$0.333437\pi$
$211$	−7.26701	+	12.5868i	−0.500281	+	0.866513i	−1.00000		0.000325046i	$0.999897\pi$
$212$	−19.1544	−	11.0588i	−1.31553	−	0.759523i
$213$	8.12924	−	22.1250i	0.557006	−	1.51598i
$214$	7.13858	+	12.3644i	0.487983	+	0.845211i
$215$	11.5698	+	1.80128i	0.789050	+	0.122846i
$216$	8.67349	+	15.3450i	0.590156	+	1.04410i
$217$		−	1.34741i		−	0.0914685i
$218$	34.7188	−	20.0449i	2.35145	−	1.35761i
$219$	−23.9163	−	8.78742i	−1.61612	−	0.593799i
$220$	−6.01273	−	4.84287i	−0.405378	−	0.326506i
$221$	0.248044	−	0.429624i	0.0166852	−	0.0288997i
$222$	21.4769	−	3.71956i	1.44144	−	0.249640i
$223$	4.93689	−	2.85031i	0.330598	−	0.190871i	−0.325508	−	0.945539i	$-0.605535\pi$
$223$	4.93689	−	2.85031i	0.330598	−	0.190871i	0.656107	+	0.754668i	$0.272202\pi$
$224$	−6.04216			−0.403709
$225$	7.05305	−	13.2384i	0.470203	−	0.882558i
$226$	−22.5255			−1.49837
$227$	11.3926	−	6.57754i	0.756155	−	0.436566i	−0.0717583	−	0.997422i	$-0.522861\pi$
$227$	11.3926	−	6.57754i	0.756155	−	0.436566i	0.827914	+	0.560856i	$0.189528\pi$
$228$	−8.58630	−	10.2963i	−0.568641	−	0.681887i
$229$	−0.462216	+	0.800581i	−0.0305441	+	0.0529039i	−0.880893	−	0.473315i	$-0.843057\pi$
$229$	−0.462216	+	0.800581i	−0.0305441	+	0.0529039i	0.850349	+	0.526219i	$0.176391\pi$
$230$	−18.2644	−	14.7108i	−1.20432	−	0.970004i
$231$	1.82152	−	1.51901i	0.119848	−	0.0999436i
$232$	15.4799	−	8.93732i	1.01630	−	0.586764i
$233$			22.6748i			1.48547i	0.669584	+	0.742737i	$0.266473\pi$
$233$			22.6748i			1.48547i	−0.669584	+	0.742737i	$0.733527\pi$
$234$	5.19674	+	4.41480i	0.339722	+	0.288605i
$235$	−16.4657	−	2.56352i	−1.07411	−	0.167226i
$236$	10.4134	+	18.0366i	0.677857	+	1.17408i
$237$	−29.9609	+	5.18888i	−1.94617	+	0.337054i
$238$	−1.41132	−	0.814828i	−0.0914825	−	0.0528175i
$239$	0.305779	−	0.529625i	0.0197792	−	0.0342586i	−0.855966	−	0.517031i	$-0.827037\pi$
$239$	0.305779	−	0.529625i	0.0197792	−	0.0342586i	0.875746	+	0.482773i	$0.160370\pi$
$240$	−3.44021	−	1.90880i	−0.222065	−	0.123213i
$241$	4.36765	+	7.56499i	0.281345	+	0.487304i	0.971716	−	0.236151i	$-0.0758861\pi$
$241$	4.36765	+	7.56499i	0.281345	+	0.487304i	−0.690371	+	0.723455i	$0.742553\pi$
$242$			2.33511i			0.150106i
$243$	15.3086	+	2.94036i	0.982049	+	0.188624i
$244$	−14.3694			−0.919906
$245$	−10.6876	+	4.13488i	−0.682806	+	0.264168i
$246$	1.25025	+	0.459370i	0.0797128	+	0.0292883i
$247$	−1.88978	−	1.09107i	−0.120244	−	0.0694228i
$248$	2.89072	+	1.66896i	0.183561	+	0.105979i
$249$	−0.810208	−	4.67819i	−0.0513448	−	0.296468i
$250$	1.57209	+	26.0599i	0.0994280	+	1.64817i
$251$	−16.4929			−1.04102			−0.520510	−	0.853855i	$-0.674258\pi$
$251$	−16.4929			−1.04102			−0.520510	+	0.853855i	$0.674258\pi$
$252$	9.18327	−	10.8098i	0.578491	−	0.680952i
$253$			4.49148i			0.282377i
$254$	−19.4234	−	33.6424i	−1.21874	−	2.11091i
$255$	1.01592	+	1.69237i	0.0636195	+	0.105980i
$256$	10.9914	−	19.0377i	0.686963	−	1.18986i
$257$	13.8743	+	8.01031i	0.865453	+	0.499670i	0.865835	−	0.500330i	$-0.166788\pi$
$257$	13.8743	+	8.01031i	0.865453	+	0.499670i	−0.000381352		1.00000i	$0.500121\pi$
$258$	−13.5642	−	16.2655i	−0.844468	−	1.01265i
$259$	−3.68983	−	6.39098i	−0.229275	−	0.397116i
$260$	−7.42555	−	1.15607i	−0.460513	−	0.0716965i
$261$	2.83977	−	15.5506i	0.175777	−	0.962558i
$262$		−	46.3667i		−	2.86455i
$263$	−0.228032	+	0.131654i	−0.0140610	+	0.00811814i	−0.507014	−	0.861938i	$-0.669251\pi$
$263$	−0.228032	+	0.131654i	−0.0140610	+	0.00811814i	0.492953	+	0.870056i	$0.335917\pi$
$264$	1.00265	+	5.78937i	0.0617089	+	0.356311i
$265$	8.98503	−	11.1555i	0.551946	−	0.685275i
$266$	−3.58417	+	6.20796i	−0.219759	+	0.380634i
$267$	5.93729	−	16.1593i	0.363356	−	0.988932i
$268$	−33.5757	+	19.3849i	−2.05096	+	1.18412i
$269$	11.6892			0.712706			0.356353	−	0.934351i	$-0.384020\pi$
$269$	11.6892			0.712706			0.356353	+	0.934351i	$0.384020\pi$
$270$	−25.3921	+	9.55806i	−1.54532	+	0.581685i
$271$	−14.1437			−0.859166			−0.429583	−	0.903027i	$-0.641339\pi$
$271$	−14.1437			−0.859166			−0.429583	+	0.903027i	$0.641339\pi$
$272$	0.448359	−	0.258860i	0.0271858	−	0.0156957i
$273$	0.796207	−	2.16700i	0.0481887	−	0.131153i
$274$	−21.9260	+	37.9770i	−1.32460	+	2.29428i
$275$	3.69807	−	3.36516i	0.223002	−	0.202927i
$276$	4.58366	+	26.4663i	0.275904	+	1.59309i
$277$	11.0111	−	6.35726i	0.661593	−	0.381971i	−0.131291	−	0.991344i	$-0.541912\pi$
$277$	11.0111	−	6.35726i	0.661593	−	0.381971i	0.792884	+	0.609373i	$0.208579\pi$
$278$			28.7559i			1.72466i
$279$	2.78002	−	0.992710i	0.166435	−	0.0594320i
$280$	−1.59787	+	10.2633i	−0.0954913	+	0.613349i
$281$	−12.8041	−	22.1773i	−0.763827	−	1.32299i	−0.940864	−	0.338784i	$-0.889984\pi$
$281$	−12.8041	−	22.1773i	−0.763827	−	1.32299i	0.177037	−	0.984204i	$-0.443349\pi$
$282$	19.3041	+	23.1486i	1.14954	+	1.37848i
$283$	9.05699	+	5.22906i	0.538382	+	0.310835i	0.744423	−	0.667708i	$-0.232725\pi$
$283$	9.05699	+	5.22906i	0.538382	+	0.310835i	−0.206041	+	0.978543i	$0.566058\pi$
$284$	23.4937	−	40.6923i	1.39410	−	2.41464i
$285$	7.44418	−	4.46872i	0.440955	−	0.264704i
$286$	1.13647	+	1.96843i	0.0672011	+	0.116396i
$287$		−	0.450962i		−	0.0266195i
$288$	−4.45157	−	12.4663i	−0.262312	−	0.734587i
$289$	16.7403			0.984721
$290$	9.92739	+	25.6597i	0.582957	+	1.50679i
$291$	4.43773	+	25.6237i	0.260145	+	1.50209i
$292$	−43.9869	−	25.3959i	−2.57414	−	1.48618i
$293$	7.65750	+	4.42106i	0.447356	+	0.258281i	0.706713	−	0.707500i	$-0.250177\pi$
$293$	7.65750	+	4.42106i	0.447356	+	0.258281i	−0.259357	+	0.965782i	$0.583511\pi$
$294$	19.4560	+	7.14858i	1.13470	+	0.416914i
$295$	−12.5794	+	4.86678i	−0.732400	+	0.283355i
$296$	18.2814			1.06259
$297$	4.47607	+	2.63908i	0.259728	+	0.153135i
$298$			22.8159i			1.32169i
$299$	2.18596	+	3.78619i	0.126417	+	0.218961i
$300$	18.3569	−	23.6034i	1.05983	−	1.36274i
$301$	−3.58528	+	6.20989i	−0.206652	+	0.357932i
$302$	−37.5825	−	21.6983i	−2.16263	−	1.24860i
$303$	17.3957	−	3.01274i	0.999359	−	0.173077i
$304$	−1.13864	−	1.97219i	−0.0653057	−	0.113113i
$305$	1.43159	−	9.19521i	0.0819724	−	0.526516i
$306$	0.641379	−	3.51221i	0.0366652	−	0.200779i
$307$			31.9905i			1.82580i	0.408188	+	0.912898i	$0.366161\pi$
$307$			31.9905i			1.82580i	−0.408188	+	0.912898i	$0.633839\pi$
$308$	4.09455	−	2.36399i	0.233308	−	0.134701i
$309$	1.40783	−	1.17402i	0.0800885	−	0.0667876i
$310$	−3.22282	+	4.00133i	−0.183044	+	0.227260i
$311$	7.40958	−	12.8338i	0.420159	−	0.727737i	−0.575796	−	0.817594i	$-0.695308\pi$
$311$	7.40958	−	12.8338i	0.420159	−	0.727737i	0.995955	+	0.0898570i	$0.0286410\pi$
$312$	3.66284	+	4.39230i	0.207367	+	0.248665i
$313$	−26.5368	+	15.3210i	−1.49995	+	0.865995i	−1.00000		6.16408e-5i	$-0.999980\pi$
$313$	−26.5368	+	15.3210i	−1.49995	+	0.865995i	−0.499947	+	0.866056i	$0.666647\pi$
$314$	2.91812			0.164679
$315$	6.00245	+	6.95347i	0.338200	+	0.391784i
$316$	−60.6139			−3.40980
$317$	11.0146	−	6.35930i	0.618644	−	0.357174i	−0.157697	−	0.987488i	$-0.550407\pi$
$317$	11.0146	−	6.35930i	0.618644	−	0.357174i	0.776341	+	0.630313i	$0.217074\pi$
$318$	−25.5286	+	4.42126i	−1.43157	+	0.247932i
$319$	2.63463	−	4.56331i	0.147511	−	0.255496i
$320$	21.4810	+	17.3016i	1.20083	+	0.967190i
$321$	9.94026	+	3.65228i	0.554811	+	0.203851i
$322$	12.4377	−	7.18091i	0.693126	−	0.400177i
$323$			1.14254i			0.0635729i
$324$	29.0688	+	10.9830i	1.61493	+	0.610168i
$325$	1.47958	−	4.63655i	0.0820723	−	0.257190i
$326$	−23.1054	−	40.0197i	−1.27969	−	2.21649i
$327$	10.2555	−	27.9119i	0.567130	−	1.54353i
$328$	0.967487	+	0.558579i	0.0534205	+	0.0308423i
$329$	5.10247	−	8.83774i	0.281308	−	0.487240i
$330$	−9.04251	+	0.154088i	−0.497774	+	0.00848228i
$331$	−12.2738	−	21.2589i	−0.674631	−	1.16850i	−0.976577	−	0.215170i	$-0.930969\pi$
$331$	−12.2738	−	21.2589i	−0.674631	−	1.16850i	0.301946	−	0.953325i	$-0.402364\pi$
$332$		−	9.46445i		−	0.519429i
$333$	10.4675	−	12.3215i	0.573618	−	0.675215i
$334$	−4.77076			−0.261044
$335$	−9.05967	−	23.4169i	−0.494983	−	1.27940i
$336$	1.85036	−	1.54305i	0.100945	−	0.0841805i
$337$	12.2595	+	7.07802i	0.667817	+	0.385564i	0.795249	−	0.606283i	$-0.207340\pi$
$337$	12.2595	+	7.07802i	0.667817	+	0.385564i	−0.127432	+	0.991847i	$0.540674\pi$
$338$	−24.3734	−	14.0720i	−1.32574	−	0.765414i
$339$	−12.8318	+	10.7008i	−0.696930	+	0.581186i
$340$	1.41976	+	3.66972i	0.0769975	+	0.199019i
$341$	0.983982			0.0532856
$342$	−15.4491	−	2.82122i	−0.835390	−	0.152554i
$343$		−	16.6032i		−	0.896488i
$344$	−8.88173	−	15.3836i	−0.478871	−	0.829429i
$345$	−17.3929	+	0.296382i	−0.936402	+	0.0159567i
$346$	−4.20226	+	7.27853i	−0.225915	+	0.391296i
$347$	0.699090	+	0.403620i	0.0375291	+	0.0216674i	0.518647	−	0.854988i	$-0.326436\pi$
$347$	0.699090	+	0.403620i	0.0375291	+	0.0216674i	−0.481118	+	0.876656i	$0.659769\pi$
$348$	10.8678	−	29.5783i	0.582573	−	1.58556i
$349$	−3.72593	−	6.45351i	−0.199445	−	0.345448i	0.748904	−	0.662679i	$-0.230580\pi$
$349$	−3.72593	−	6.45351i	−0.199445	−	0.345448i	−0.948349	+	0.317230i	$0.897247\pi$
$350$	−15.2312	−	4.86044i	−0.814139	−	0.259801i
$351$	5.05763	+	0.0462121i	0.269956	+	0.00246662i
$352$		−	4.41244i		−	0.235184i
$353$	12.9185	−	7.45849i	0.687581	−	0.396975i	−0.115124	−	0.993351i	$-0.536727\pi$
$353$	12.9185	−	7.45849i	0.687581	−	0.396975i	0.802705	+	0.596376i	$0.203393\pi$
$354$	22.8998	+	8.41392i	1.21711	+	0.447195i
$355$	23.6991	+	19.0881i	1.25781	+	1.01309i
$356$	17.1589	−	29.7201i	0.909422	−	1.57516i
$357$	−1.19106	+	0.206277i	−0.0630374	+	0.0109173i
$358$	−18.5783	+	10.7262i	−0.981893	+	0.566896i
$359$	14.7041			0.776051			0.388025	−	0.921649i	$-0.373157\pi$
$359$	14.7041			0.776051			0.388025	+	0.921649i	$0.373157\pi$
$360$	−22.3527	+	4.26471i	−1.17809	+	0.224770i
$361$	−13.9743			−0.735490
$362$	3.54509	−	2.04676i	0.186326	−	0.107575i
$363$	1.10929	+	1.33021i	0.0582229	+	0.0698181i
$364$	2.30106	−	3.98555i	0.120608	−	0.208900i
$365$	20.6335	−	25.6178i	1.08001	−	1.34090i
$366$	−12.9272	+	10.7803i	−0.675716	+	0.563495i
$367$	15.5519	−	8.97890i	0.811803	−	0.468695i	−0.0357783	−	0.999360i	$-0.511391\pi$
$367$	15.5519	−	8.97890i	0.811803	−	0.468695i	0.847582	+	0.530665i	$0.178058\pi$
$368$			4.56257i			0.237840i
$369$	0.930437	−	0.332247i	0.0484366	−	0.0172961i
$370$	−4.32882	+	27.8044i	−0.225045	+	1.44548i
$371$	4.38593	+	7.59665i	0.227706	+	0.394398i
$372$	5.79818	−	1.00418i	0.300622	−	0.0520642i
$373$	−19.3679	−	11.1821i	−1.00283	−	0.578985i	−0.0937465	−	0.995596i	$-0.529884\pi$
$373$	−19.3679	−	11.1821i	−1.00283	−	0.578985i	−0.909085	+	0.416611i	$0.863218\pi$
$374$	0.595048	−	1.03065i	0.0307692	−	0.0532938i
$375$	13.2753	+	14.0984i	0.685536	+	0.728039i
$376$	12.6402	+	21.8935i	0.651870	+	1.12907i
$377$		−	5.12899i		−	0.264157i
$378$	0.151808	−	16.6144i	0.00780814	−	0.854552i
$379$	−3.75304			−0.192781			−0.0963903	−	0.995344i	$-0.530730\pi$
$379$	−3.75304			−0.192781			−0.0963903	+	0.995344i	$0.530730\pi$
$380$	16.1419	−	6.24508i	0.828063	−	0.320366i
$381$	−27.0466	−	9.93754i	−1.38564	−	0.509116i
$382$	33.8334	+	19.5337i	1.73107	+	0.999433i
$383$	32.5776	+	18.8087i	1.66464	+	0.961080i	0.970455	+	0.241283i	$0.0775682\pi$
$383$	32.5776	+	18.8087i	1.66464	+	0.961080i	0.694185	+	0.719797i	$0.255765\pi$
$384$	−5.90522	−	34.0971i	−0.301350	−	1.74001i
$385$	1.10482	+	2.85569i	0.0563071	+	0.145539i
$386$	−45.3519			−2.30835
$387$	−15.4539	−	2.82210i	−0.785565	−	0.143455i
$388$			51.8395i			2.63175i
$389$	12.5914	+	21.8089i	0.638407	+	1.10575i	0.985782	+	0.168027i	$0.0537397\pi$
$389$	12.5914	+	21.8089i	0.638407	+	1.10575i	−0.347375	+	0.937726i	$0.612927\pi$
$390$	−7.54760	+	4.53080i	−0.382187	+	0.229426i
$391$	1.14455	−	1.98242i	0.0578823	−	0.100255i
$392$	15.0558	+	8.69245i	0.760431	+	0.439035i
$393$	−22.0266	−	26.4132i	−1.11109	−	1.33237i
$394$	1.28661	+	2.22847i	0.0648183	+	0.112269i
$395$	6.03882	−	38.7878i	0.303846	−	1.95163i
$396$	7.89410	+	6.70630i	0.396694	+	0.337004i
$397$			3.70896i			0.186147i	0.995659	+	0.0930736i	$0.0296692\pi$
$397$			3.70896i			0.186147i	−0.995659	+	0.0930736i	$0.970331\pi$
$398$	38.4367	−	22.1914i	1.92666	−	1.11236i
$399$	0.907348	+	5.23908i	0.0454242	+	0.262282i
$400$	3.75660	−	3.41842i	0.187830	−	0.170921i
$401$	−10.6362	+	18.4224i	−0.531146	+	0.919971i	0.468194	+	0.883626i	$0.344905\pi$
$401$	−10.6362	+	18.4224i	−0.531146	+	0.919971i	−0.999339	+	0.0363454i	$0.988428\pi$
$402$	−15.6628	+	42.6287i	−0.781189	+	2.12613i
$403$	0.829470	−	0.478895i	0.0413189	−	0.0238555i
$404$	35.1934			1.75094
$405$	−9.92428	+	17.5074i	−0.493141	+	0.869949i
$406$	−16.8488			−0.836194
$407$	4.66717	−	2.69459i	0.231343	−	0.133566i
$408$	1.03274	−	2.81078i	0.0511284	−	0.139154i
$409$	18.1375	−	31.4151i	0.896844	−	1.55338i	0.0653379	−	0.997863i	$-0.479187\pi$
$409$	18.1375	−	31.4151i	0.896844	−	1.55338i	0.831506	−	0.555516i	$-0.187479\pi$
$410$	−1.07864	+	1.33919i	−0.0532700	+	0.0661381i
$411$	5.55067	+	32.0499i	0.273794	+	1.58091i
$412$	3.16461	−	1.82709i	0.155909	−	0.0900142i
$413$		−	8.25994i		−	0.406445i
$414$	23.9793	+	20.3712i	1.17852	+	1.00119i
$415$	6.05646	+	0.942921i	0.297300	+	0.0462862i
$416$	−2.14749	−	3.71956i	−0.105289	−	0.182367i
$417$	13.6605	+	16.3810i	0.668959	+	0.802183i
$418$	−4.53351	−	2.61743i	−0.221741	−	0.128022i
$419$	4.16013	−	7.20556i	0.203236	−	0.352015i	−0.746333	−	0.665572i	$-0.768188\pi$
$419$	4.16013	−	7.20556i	0.203236	−	0.352015i	0.949569	+	0.313558i	$0.101521\pi$
$420$	9.42454	+	15.6998i	0.459871	+	0.766072i
$421$	11.7165	+	20.2935i	0.571026	+	0.989045i	0.996461	+	0.0840565i	$0.0267876\pi$
$421$	11.7165	+	20.2935i	0.571026	+	0.989045i	−0.425435	+	0.904989i	$0.639879\pi$
$422$			33.9385i			1.65210i
$423$	21.9935	+	4.01633i	1.06936	+	0.195281i
$424$	−21.7303			−1.05532
$425$	−2.48976	+	0.542924i	−0.120771	+	0.0263357i
$426$	−9.39267	−	54.2338i	−0.455076	−	2.62764i
$427$	4.93539	+	2.84945i	0.238840	+	0.137895i
$428$	18.2821	+	10.5552i	0.883700	+	0.510205i
$429$	1.58251	+	0.581450i	0.0764042	+	0.0280727i
$430$	25.5001	−	9.86564i	1.22973	−	0.475764i
$431$	22.2391			1.07122			0.535610	−	0.844466i	$-0.320082\pi$
$431$	22.2391			1.07122			0.535610	+	0.844466i	$0.320082\pi$
$432$	4.54692	+	2.68085i	0.218764	+	0.128983i
$433$			26.3498i			1.26629i	0.774033	+	0.633146i	$0.218237\pi$
$433$			26.3498i			1.26629i	−0.774033	+	0.633146i	$0.781763\pi$
$434$	−1.57318	−	2.72482i	−0.0755149	−	0.130796i
$435$	17.8449	+	9.90127i	0.855598	+	0.474729i
$436$	29.6386	−	51.3356i	1.41943	−	2.45853i
$437$	−8.72002	−	5.03451i	−0.417135	−	0.240833i
$438$	−58.6249	+	10.1531i	−2.80120	+	0.485136i
$439$	−4.63904	−	8.03505i	−0.221409	−	0.383492i	0.733827	−	0.679337i	$-0.237732\pi$
$439$	−4.63904	−	8.03505i	−0.221409	−	0.383492i	−0.955236	+	0.295844i	$0.904399\pi$
$440$	−7.49501	−	1.16689i	−0.357311	−	0.0556292i
$441$	14.4792	−	5.17034i	0.689486	−	0.246207i
$442$		−	1.15842i		−	0.0551003i
$443$	−15.8004	+	9.12238i	−0.750701	+	0.433417i	−0.825947	−	0.563748i	$-0.809359\pi$
$443$	−15.8004	+	9.12238i	−0.750701	+	0.433417i	0.0752463	+	0.997165i	$0.476026\pi$
$444$	24.7517	−	20.6410i	1.17466	−	0.979578i
$445$	17.3089	+	13.9412i	0.820521	+	0.660878i
$446$	6.65578	−	11.5281i	0.315160	−	0.545874i
$447$	10.8387	+	12.9972i	0.512653	+	0.614748i
$448$	−14.6282	+	8.44557i	−0.691115	+	0.399016i
$449$	6.59380			0.311181			0.155590	−	0.987822i	$-0.450272\pi$
$449$	6.59380			0.311181			0.155590	+	0.987822i	$0.450272\pi$
$450$	−1.19339	−	35.0062i	−0.0562569	−	1.65021i
$451$	0.329326			0.0155074
$452$	−28.8443	+	16.6533i	−1.35672	+	0.783303i
$453$	−31.7170	+	5.49302i	−1.49020	+	0.258084i
$454$	15.3592	−	26.6030i	0.720845	−	1.24854i
$455$	2.32117	+	1.86956i	0.108818	+	0.0876462i
$456$	−12.3637	−	4.54271i	−0.578983	−	0.212732i
$457$	−4.05578	+	2.34161i	−0.189721	+	0.109536i	−0.591852	−	0.806047i	$-0.701603\pi$
$457$	−4.05578	+	2.34161i	−0.189721	+	0.109536i	0.402131	+	0.915582i	$0.368270\pi$
$458$			2.15864i			0.100867i
$459$	−1.30311	−	2.30545i	−0.0608240	−	0.107609i
$460$	−34.2637	−	5.33447i	−1.59755	−	0.248721i
$461$	9.19038	+	15.9182i	0.428039	+	0.741385i	0.996699	−	0.0811879i	$-0.0258714\pi$
$461$	9.19038	+	15.9182i	0.428039	+	0.741385i	−0.568660	+	0.822573i	$0.692538\pi$
$462$	1.91007	−	5.19856i	0.0888646	−	0.241859i
$463$	−19.0475	−	10.9971i	−0.885211	−	0.511077i	−0.0128381	−	0.999918i	$-0.504087\pi$
$463$	−19.0475	−	10.9971i	−0.885211	−	0.511077i	−0.872373	+	0.488841i	$0.837420\pi$
$464$	2.67633	−	4.63554i	0.124245	−	0.215199i
$465$	0.0649307	+	3.81039i	0.00301109	+	0.176703i
$466$	26.4740	+	45.8543i	1.22638	+	2.12416i
$467$		−	10.5791i		−	0.489540i	−0.969581	−	0.244770i	$-0.921288\pi$
$467$		−	10.5791i		−	0.489540i	0.969581	−	0.244770i	$-0.0787125\pi$
$468$	9.91841	+	1.81124i	0.458479	+	0.0837248i
$469$	15.3761			0.710004
$470$	−36.2911	+	14.0405i	−1.67398	+	0.647640i
$471$	1.66233	−	1.38626i	0.0765963	−	0.0638754i
$472$	17.7207	+	10.2311i	0.815662	+	0.470923i
$473$	−4.53493	−	2.61824i	−0.208516	−	0.120387i
$474$	−54.5304	+	45.4742i	−2.50467	+	2.08870i
$475$	2.38815	+	10.9517i	0.109576	+	0.502497i
$476$	−2.40963			−0.110445
$477$	−12.4423	+	14.6460i	−0.569692	+	0.670594i
$478$		−	1.42805i		−	0.0653176i
$479$	14.4219	+	24.9794i	0.658953	+	1.14134i	0.980887	+	0.194578i	$0.0623336\pi$
$479$	14.4219	+	24.9794i	0.658953	+	1.14134i	−0.321935	+	0.946762i	$0.604333\pi$
$480$	17.0868	−	0.291166i	0.779903	−	0.0132899i
$481$	2.62286	−	4.54293i	0.119592	−	0.207140i
$482$	17.6651	+	10.1989i	0.804621	+	0.464548i
$483$	3.67394	−	9.99921i	0.167170	−	0.454980i
$484$	1.72636	+	2.99014i	0.0784709	+	0.135916i
$485$	−33.1729	−	5.16464i	−1.50630	−	0.234514i
$486$	34.3911	−	11.9275i	1.56001	−	0.541041i
$487$			3.84353i			0.174167i	0.996201	+	0.0870835i	$0.0277547\pi$
$487$			3.84353i			0.174167i	−0.996201	+	0.0870835i	$0.972245\pi$
$488$	−12.2263	+	7.05887i	−0.553459	+	0.319540i
$489$	−32.1736	−	11.8213i	−1.45494	−	0.534579i
$490$	−16.7854	+	20.8402i	−0.758289	+	0.941463i
$491$	−6.52804	+	11.3069i	−0.294606	+	0.510273i	−0.974893	−	0.222673i	$-0.928522\pi$
$491$	−6.52804	+	11.3069i	−0.294606	+	0.510273i	0.680287	+	0.732946i	$0.261855\pi$
$492$	1.94058	−	0.336085i	0.0874879	−	0.0151519i
$493$	−2.32571	+	1.34275i	−0.104745	+	0.0604744i
$494$	−5.09550			−0.229258
$495$	−5.07794	+	4.38343i	−0.228237	+	0.197021i
$496$	0.999556			0.0448814
$497$	−16.1386	+	9.31761i	−0.723914	+	0.417952i
$498$	−7.10048	−	8.51456i	−0.318180	−	0.381546i
$499$	0.941157	−	1.63013i	0.0421320	−	0.0729747i	−0.844190	−	0.536043i	$-0.819918\pi$
$499$	0.941157	−	1.63013i	0.0421320	−	0.0729747i	0.886322	+	0.463069i	$0.153252\pi$
$500$	21.2794	+	32.2079i	0.951641	+	1.44038i
$501$	−2.71770	+	2.26636i	−0.121418	+	0.101253i
$502$	−33.3529	+	19.2563i	−1.48861	+	0.859451i
$503$		−	6.77522i		−	0.302092i	−0.988527	−	0.151046i	$-0.951736\pi$
$503$		−	6.77522i		−	0.302092i	0.988527	−	0.151046i	$-0.0482642\pi$
$504$	2.50343	−	13.7088i	0.111512	−	0.610639i
$505$	−3.50623	+	22.5208i	−0.156025	+	1.00216i
$506$	5.24404	+	9.08294i	0.233126	+	0.403786i
$507$	−20.5694	+	3.56238i	−0.913519	+	0.158211i
$508$	−49.7441	−	28.7198i	−2.20704	−	1.27423i
$509$	−20.1432	+	34.8890i	−0.892830	+	1.54643i	−0.0563620	+	0.998410i	$0.517950\pi$
$509$	−20.1432	+	34.8890i	−0.892830	+	1.54643i	−0.836468	+	0.548016i	$0.815383\pi$
$510$	4.03039	+	2.23627i	0.178469	+	0.0990235i
$511$	10.0720	+	17.4452i	0.445559	+	0.771731i
$512$		−	11.3742i		−	0.502672i
$513$	−10.1409	+	5.73196i	−0.447732	+	0.253072i
$514$	37.4099			1.65008
$515$	0.853901	+	2.20711i	0.0376274	+	0.0972571i
$516$	−29.3943	−	10.8002i	−1.29401	−	0.475450i
$517$	6.45398	+	3.72620i	0.283846	+	0.163878i
$518$	−14.9236	−	8.61615i	−0.655706	−	0.378572i
$519$	1.06382	+	6.14256i	0.0466965	+	0.269629i
$520$	−6.88600	+	2.66410i	−0.301971	+	0.116828i
$521$	−31.7960			−1.39301			−0.696503	−	0.717554i	$-0.745262\pi$
$521$	−31.7960			−1.39301			−0.696503	+	0.717554i	$0.745262\pi$
$522$	−12.4134	−	34.7630i	−0.543320	−	1.52153i
$523$			26.5213i			1.15970i	0.814725	+	0.579848i	$0.196888\pi$
$523$			26.5213i			1.15970i	−0.814725	+	0.579848i	$0.803112\pi$
$524$	−34.2792	−	59.3734i	−1.49750	−	2.59374i
$525$	−10.9855	+	4.46679i	−0.479447	+	0.194946i
$526$	−0.307426	+	0.532478i	−0.0134044	+	0.0232171i
$527$	−0.434303	−	0.250745i	−0.0189186	−	0.0109226i
$528$	1.12685	+	1.35127i	0.0490400	+	0.0588063i
$529$	−1.41332	−	2.44794i	−0.0614487	−	0.106432i
$530$	5.14547	−	33.0498i	0.223505	−	1.43559i
$531$	17.0421	−	6.08552i	0.739565	−	0.264089i
$532$			10.5992i			0.459533i
$533$	0.277613	−	0.160280i	0.0120248	−	0.00694250i
$534$	−6.86005	−	39.6104i	−0.296864	−	1.71411i
$535$	−8.57585	+	10.6474i	−0.370766	+	0.460329i
$536$	−19.0454	+	32.9877i	−0.822638	+	1.42485i
$537$	−5.48779	+	14.9359i	−0.236816	+	0.644531i
$538$	23.6387	−	13.6478i	1.01914	−	0.588399i
$539$	5.12488			0.220744
$540$	−25.4487	+	31.0118i	−1.09514	+	1.33454i
$541$	22.8632			0.982968			0.491484	−	0.870887i	$-0.336455\pi$
$541$	22.8632			0.982968			0.491484	+	0.870887i	$0.336455\pi$
$542$	−28.6021	+	16.5135i	−1.22857	+	0.709314i
$543$	1.04718	−	2.85005i	0.0449386	−	0.122307i
$544$	−1.12441	+	1.94753i	−0.0482086	+	0.0834997i
$545$	29.8977	+	24.0807i	1.28068	+	1.03150i
$546$	−0.919952	−	5.31186i	−0.0393703	−	0.227327i
$547$	18.0197	−	10.4037i	0.770469	−	0.444830i	−0.0625731	−	0.998040i	$-0.519931\pi$
$547$	18.0197	−	10.4037i	0.770469	−	0.444830i	0.833042	+	0.553210i	$0.186597\pi$
$548$			64.8403i			2.76984i
$549$	−2.24290	+	12.2822i	−0.0957247	+	0.524190i
$550$	3.54946	−	11.1229i	0.151349	−	0.474283i
$551$	5.90632	+	10.2301i	0.251618	+	0.435815i
$552$	16.9015	+	20.2674i	0.719374	+	0.862638i
$553$	20.8188	+	12.0197i	0.885306	+	0.511132i
$554$	14.8449	−	25.7121i	0.630698	−	1.09240i
$555$	10.7426	+	17.8954i	0.455996	+	0.759618i
$556$	21.2594	+	36.8224i	0.901600	+	1.56162i
$557$		−	24.8069i		−	1.05110i	−0.850762	−	0.525551i	$-0.823859\pi$
$557$		−	24.8069i		−	1.05110i	0.850762	−	0.525551i	$-0.176141\pi$
$558$	4.46289	−	5.25334i	0.188929	−	0.222392i
$559$	−5.09709			−0.215584
$560$	1.12231	+	2.90088i	0.0474263	+	0.122585i
$561$	−0.150639	−	0.869798i	−0.00635998	−	0.0367229i
$562$	−51.7864	−	29.8989i	−2.18448	−	1.26121i
$563$	34.4763	+	19.9049i	1.45300	+	0.838892i	0.998651	−	0.0519305i	$-0.0165374\pi$
$563$	34.4763	+	19.9049i	1.45300	+	0.838892i	0.454352	+	0.890822i	$0.349871\pi$
$564$	41.8332	+	15.3705i	1.76149	+	0.647214i
$565$	−7.78300	−	20.1171i	−0.327433	−	0.846331i
$566$	24.4208			1.02648
$567$	−7.80620	−	9.53664i	−0.327830	−	0.400501i
$568$		−	46.1645i		−	1.93702i
$569$	−5.62494	−	9.74269i	−0.235810	−	0.408435i	0.723698	−	0.690117i	$-0.242441\pi$
$569$	−5.62494	−	9.74269i	−0.235810	−	0.408435i	−0.959508	+	0.281682i	$0.909108\pi$
$570$	9.83662	−	17.7284i	0.412011	−	0.742561i
$571$	−8.63646	+	14.9588i	−0.361424	+	0.626005i	−0.988196	−	0.153198i	$-0.951043\pi$
$571$	−8.63646	+	14.9588i	−0.361424	+	0.626005i	0.626771	+	0.779203i	$0.284376\pi$
$572$	2.91055	+	1.68041i	0.121696	+	0.0702613i
$573$	28.5530	−	4.94505i	1.19282	−	0.206582i
$574$	−0.526522	−	0.911964i	−0.0219766	−	0.0380646i
$575$	6.82723	−	21.3945i	0.284715	−	0.892211i
$576$	−28.2024	−	23.9589i	−1.17510	−	0.998287i
$577$			6.73637i			0.280439i	0.990120	+	0.140219i	$0.0447808\pi$
$577$			6.73637i			0.280439i	−0.990120	+	0.140219i	$0.955219\pi$
$578$	33.8532	−	19.5451i	1.40811	−	0.812970i
$579$	−25.8351	+	21.5444i	−1.07367	+	0.895357i
$580$	31.6826	+	25.5183i	1.31555	+	1.05959i
$581$	−1.87680	+	3.25072i	−0.0778629	+	0.134862i
$582$	38.8913	+	46.6366i	1.61210	+	1.93315i
$583$	−5.54764	+	3.20293i	−0.229760	+	0.132652i
$584$	−49.9022			−2.06497
$585$	−2.14719	+	6.16650i	−0.0887755	+	0.254953i
$586$	20.6473			0.852931
$587$	−1.68850	+	0.974858i	−0.0696920	+	0.0402367i	−0.534441	−	0.845206i	$-0.679478\pi$
$587$	−1.68850	+	0.974858i	−0.0696920	+	0.0402367i	0.464749	+	0.885442i	$0.346145\pi$
$588$	30.1987	−	5.23007i	1.24537	−	0.215684i
$589$	−1.10295	+	1.91036i	−0.0454462	+	0.0787151i
$590$	−19.7566	+	24.5290i	−0.813365	+	1.00984i
$591$	1.79156	+	0.658261i	0.0736950	+	0.0270772i
$592$	4.74104	−	2.73724i	0.194855	−	0.112500i
$593$		−	0.173295i		−	0.00711635i	−0.999994	−	0.00355818i	$-0.998867\pi$
$593$		−	0.173295i		−	0.00711635i	0.999994	−	0.00355818i	$-0.00113261\pi$
$594$	12.1331	+	0.110861i	0.497825	+	0.00454869i
$595$	0.240066	−	1.54196i	0.00984174	−	0.0632143i
$596$	16.8679	+	29.2161i	0.690937	+	1.19674i
$597$	11.3537	−	30.9009i	0.464677	−	1.26469i
$598$	8.84116	+	5.10444i	0.361542	+	0.208736i
$599$	4.77857	−	8.27673i	0.195247	−	0.338178i	−0.751734	−	0.659466i	$-0.770782\pi$
$599$	4.77857	−	8.27673i	0.195247	−	0.338178i	0.946982	+	0.321288i	$0.104116\pi$
$600$	4.02410	−	29.1008i	0.164283	−	1.18804i
$601$	15.3231	+	26.5403i	0.625041	+	1.08260i	0.988533	+	0.151006i	$0.0482512\pi$
$601$	15.3231	+	26.5403i	0.625041	+	1.08260i	−0.363492	+	0.931597i	$0.618416\pi$
$602$			16.7440i			0.682436i
$603$	11.3284	+	31.7244i	0.461328	+	1.29192i
$604$	−64.1668			−2.61091
$605$	−2.08543	+	0.806825i	−0.0847849	+	0.0328021i
$606$	31.6612	−	26.4030i	1.28615	−	1.07255i
$607$	24.7930	+	14.3143i	1.00632	+	0.580998i	0.910112	−	0.414363i	$-0.135996\pi$
$607$	24.7930	+	14.3143i	1.00632	+	0.580998i	0.0962067	+	0.995361i	$0.469329\pi$
$608$	8.56657	+	4.94591i	0.347420	+	0.200583i
$609$	−9.59808	+	8.00406i	−0.388934	+	0.324341i
$610$	−7.84084	−	20.2666i	−0.317467	−	0.820569i
$611$	7.25403			0.293467
$612$	−1.77530	−	4.97161i	−0.0717622	−	0.200966i
$613$		−	35.7006i		−	1.44194i	−0.692969	−	0.720968i	$-0.743698\pi$
$613$		−	35.7006i		−	1.44194i	0.692969	−	0.720968i	$-0.256302\pi$
$614$	37.3506	+	64.6932i	1.50735	+	2.61080i
$615$	0.0217315	+	1.27529i	0.000876298	+	0.0514247i
$616$	2.32259	−	4.02284i	0.0935797	−	0.162085i
$617$	−6.94226	−	4.00812i	−0.279485	−	0.161361i	0.353705	−	0.935357i	$-0.384922\pi$
$617$	−6.94226	−	4.00812i	−0.279485	−	0.161361i	−0.633190	+	0.773996i	$0.718255\pi$
$618$	1.47626	−	4.01789i	0.0593841	−	0.161623i
$619$	−19.4649	−	33.7141i	−0.782359	−	1.35509i	−0.930564	−	0.366129i	$-0.880683\pi$
$619$	−19.4649	−	33.7141i	−0.782359	−	1.35509i	0.148205	−	0.988957i	$-0.452650\pi$
$620$	−1.16866	+	7.50642i	−0.0469346	+	0.301465i
$621$	23.3374	+	0.213237i	0.936498	+	0.00855690i
$622$		−	34.6043i		−	1.38751i
$623$	−11.7870	+	6.80524i	−0.472237	+	0.272646i
$624$	1.60755	+	0.590653i	0.0643537	+	0.0236450i
$625$	−22.7304	+	10.4082i	−0.909214	+	0.416328i
$626$	−35.7762	+	61.9661i	−1.42990	+	2.47667i
$627$	−3.82597	+	0.662613i	−0.152794	+	0.0264622i
$628$	3.73671	−	2.15739i	0.149111	−	0.0860891i
$629$	−2.74662			−0.109515
$630$	20.2571	+	7.05356i	0.807061	+	0.281021i
$631$	28.9047			1.15068			0.575338	−	0.817916i	$-0.304870\pi$
$631$	28.9047			1.15068			0.575338	+	0.817916i	$0.304870\pi$
$632$	−51.5739	+	29.7762i	−2.05150	+	1.18443i
$633$	16.1225	+	19.3333i	0.640812	+	0.768431i
$634$	14.8496	−	25.7203i	0.589755	−	1.02149i
$635$	23.3341	−	28.9708i	0.925987	−	1.14967i
$636$	−29.4212	+	24.5350i	−1.16662	+	0.972875i
$637$	4.32014	−	2.49423i	0.171170	−	0.0988251i
$638$		−	12.3043i		−	0.487131i
$639$	−31.1145	−	26.4328i	−1.23087	−	1.04566i
$640$	44.1427	+	6.87251i	1.74489	+	0.271660i
$641$	11.2736	+	19.5265i	0.445282	+	0.771251i	0.998072	−	0.0620699i	$-0.0197702\pi$
$641$	11.2736	+	19.5265i	0.445282	+	0.771251i	−0.552790	+	0.833321i	$0.686437\pi$
$642$	24.3660	−	4.21991i	0.961651	−	0.166547i
$643$	38.3156	+	22.1215i	1.51102	+	0.872388i	0.999917	+	0.0128682i	$0.00409618\pi$
$643$	38.3156	+	22.1215i	1.51102	+	0.872388i	0.511103	+	0.859520i	$0.329237\pi$
$644$	10.6178	−	18.3906i	0.418400	−	0.724689i
$645$	9.83968	−	17.7339i	0.387437	−	0.698272i
$646$	1.33398	+	2.31052i	0.0524848	+	0.0909063i
$647$		−	17.3341i		−	0.681473i	−0.940159	−	0.340736i	$-0.889324\pi$
$647$		−	17.3341i		−	0.681473i	0.940159	−	0.340736i	$-0.110676\pi$
$648$	30.1288	−	4.93486i	1.18357	−	0.193859i
$649$	6.03202			0.236778
$650$	−2.42133	−	11.1038i	−0.0949722	−	0.435527i
$651$	−2.19060	−	0.804879i	−0.0858566	−	0.0315457i
$652$	−59.1737	−	34.1640i	−2.31742	−	1.33796i
$653$	−26.3881	−	15.2352i	−1.03264	−	0.596198i	−0.114904	−	0.993377i	$-0.536656\pi$
$653$	−26.3881	−	15.2352i	−1.03264	−	0.596198i	−0.917741	+	0.397179i	$0.869989\pi$
$654$	−11.8494	−	68.4190i	−0.463347	−	2.67539i
$655$	41.4091	−	16.0206i	1.61799	−	0.625977i
$656$	0.334539			0.0130615
$657$	−28.5729	+	33.6336i	−1.11473	+	1.31217i
$658$		−	23.8296i		−	0.928976i
$659$	−3.24506	−	5.62061i	−0.126410	−	0.218948i	0.795873	−	0.605463i	$-0.207012\pi$
$659$	−3.24506	−	5.62061i	−0.126410	−	0.218948i	−0.922283	+	0.386515i	$0.873679\pi$
$660$	−11.4652	+	6.88250i	−0.446281	+	0.267901i
$661$	7.84109	−	13.5812i	0.304983	−	0.528246i	−0.672274	−	0.740302i	$-0.734682\pi$
$661$	7.84109	−	13.5812i	0.304983	−	0.528246i	0.977258	+	0.212056i	$0.0680158\pi$
$662$	−49.6418	−	28.6607i	−1.92938	−	1.11393i
$663$	−0.550307	−	0.659902i	−0.0213722	−	0.0256285i
$664$	−4.64935	−	8.05291i	−0.180430	−	0.312514i
$665$	−6.78260	−	1.05597i	−0.263018	−	0.0409489i
$666$	6.78207	−	37.1387i	0.262800	−	1.43910i
$667$		−	23.6667i		−	0.916380i
$668$	−6.10904	+	3.52706i	−0.236366	+	0.136466i
$669$	−1.68494	−	9.72894i	−0.0651435	−	0.376143i
$670$	−45.6615	−	36.7775i	−1.76406	−	1.42084i
$671$	−2.08088	+	3.60419i	−0.0803315	+	0.139138i
$672$	−3.60929	+	9.82325i	−0.139231	+	0.378940i
$673$	42.5024	−	24.5388i	1.63835	−	0.945900i	0.656944	−	0.753940i	$-0.271849\pi$
$673$	42.5024	−	24.5388i	1.63835	−	0.945900i	0.981403	−	0.191960i	$-0.0614843\pi$
$674$	33.0558			1.27326
$675$	−17.3096	−	19.3747i	−0.666246	−	0.745732i
$676$	−41.6140			−1.60054
$677$	15.5085	−	8.95386i	0.596042	−	0.344125i	−0.171441	−	0.985194i	$-0.554842\pi$
$677$	15.5085	−	8.95386i	0.596042	−	0.344125i	0.767483	+	0.641070i	$0.221509\pi$
$678$	−13.4556	+	36.6216i	−0.516760	+	1.40644i
$679$	10.2798	−	17.8051i	0.394501	−	0.683296i
$680$	3.01074	+	2.42496i	0.115457	+	0.0929931i
$681$	−3.88826	−	22.4510i	−0.148998	−	0.860326i
$682$	1.98987	−	1.14885i	0.0761960	−	0.0439918i
$683$		−	40.9584i		−	1.56723i	−0.621248	−	0.783614i	$-0.713374\pi$
$683$		−	40.9584i		−	1.56723i	0.621248	−	0.783614i	$-0.286626\pi$
$684$	−21.8685	+	7.80898i	−0.836164	+	0.298584i
$685$	−41.4924	−	6.45988i	−1.58534	−	0.246819i
$686$	−19.3851	−	33.5760i	−0.740127	−	1.28194i
$687$	1.02547	+	1.22969i	0.0391240	+	0.0469156i
$688$	−4.60670	−	2.65968i	−0.175629	−	0.101399i
$689$	−3.11767	+	5.39997i	−0.118774	+	0.205722i
$690$	−34.8269	+	20.9065i	−1.32584	+	0.795896i
$691$	3.78777	+	6.56061i	0.144094	+	0.249577i	0.929034	−	0.369993i	$-0.120640\pi$
$691$	3.78777	+	6.56061i	0.144094	+	0.249577i	−0.784941	+	0.619571i	$0.787307\pi$
$692$			12.4270i			0.472405i
$693$	−1.38149	−	3.86879i	−0.0524786	−	0.146963i
$694$	1.88499			0.0715532
$695$	−25.6813	+	9.93573i	−0.974147	+	0.376884i
$696$	−5.28323	−	30.5057i	−0.200260	−	1.15631i
$697$	−0.145356	−	0.0839212i	−0.00550574	−	0.00317874i
$698$	−15.0696	−	8.70045i	−0.570394	−	0.329317i
$699$	36.8643	+	13.5448i	1.39433	+	0.512311i
$700$	−23.0971	+	5.03662i	−0.872988	+	0.190366i
$701$	14.3936			0.543641			0.271820	−	0.962348i	$-0.412374\pi$
$701$	14.3936			0.543641			0.271820	+	0.962348i	$0.412374\pi$
$702$	10.2818	−	5.81159i	0.388061	−	0.219344i
$703$			12.0815i			0.455662i
$704$	−6.16758	−	10.6826i	−0.232449	−	0.402614i
$705$	−14.0036	+	25.2384i	−0.527404	+	0.950533i
$706$	17.4164	−	30.1660i	0.655473	−	1.13531i
$707$	−12.0877	−	6.97885i	−0.454605	−	0.262467i
$708$	35.5441	−	6.15582i	1.33583	−	0.231350i
$709$	2.77323	+	4.80338i	0.104151	+	0.180395i	0.913391	−	0.407083i	$-0.133454\pi$
$709$	2.77323	+	4.80338i	0.104151	+	0.180395i	−0.809240	+	0.587478i	$0.800121\pi$
$710$	70.2120	+	10.9312i	2.63501	+	0.410241i
$711$	−9.46116	+	51.8095i	−0.354821	+	1.94301i
$712$		−	33.7169i		−	1.26359i
$713$	3.82743	−	2.20977i	0.143338	−	0.0827564i
$714$	−2.16779	+	1.80777i	−0.0811275	+	0.0676540i
$715$	−1.36529	+	1.69509i	−0.0510589	+	0.0633929i
$716$	−15.8599	+	27.4701i	−0.592711	+	1.02661i
$717$	−0.678398	−	0.813503i	−0.0253353	−	0.0303808i
$718$	29.7354	−	17.1678i	1.10972	−	0.640695i
$719$	−38.5157			−1.43639			−0.718196	−	0.695841i	$-0.755032\pi$
$719$	−38.5157			−1.43639			−0.718196	+	0.695841i	$0.755032\pi$
$720$	−5.15832	+	4.45281i	−0.192239	+	0.165947i
$721$	−1.44925			−0.0539728
$722$	−28.2597	+	16.3157i	−1.05172	+	0.607209i
$723$	14.9081	−	2.58190i	0.554437	−	0.0960220i
$724$	3.02637	−	5.24182i	0.112474	−	0.194811i
$725$	−19.4861	+	17.7319i	−0.723694	+	0.658546i
$726$	3.79638	+	1.39488i	0.140897	+	0.0517687i
$727$	−11.6970	+	6.75327i	−0.433818	+	0.250465i	−0.700972	−	0.713189i	$-0.747250\pi$
$727$	−11.6970	+	6.75327i	−0.433818	+	0.250465i	0.267154	+	0.963654i	$0.413917\pi$
$728$		−	4.52152i		−	0.167579i
$729$	13.9250	−	23.1321i	0.515741	−	0.856744i
$730$	11.8162	−	75.8967i	0.437339	−	2.80906i
$731$	1.33440	+	2.31124i	0.0493545	+	0.0854844i
$732$	−8.58356	+	23.3615i	−0.317258	+	0.863466i
$733$	−33.0200	−	19.0641i	−1.21962	−	0.704148i	−0.254784	−	0.966998i	$-0.582004\pi$
$733$	−33.0200	−	19.0641i	−1.21962	−	0.704148i	−0.964837	+	0.262850i	$0.915338\pi$
$734$	20.9667	−	36.3154i	0.773895	−	1.34042i
$735$	0.338179	+	19.8457i	0.0124739	+	0.732020i
$736$	−9.90918	−	17.1632i	−0.365257	−	0.632644i
$737$			11.2288i			0.413618i
$738$	1.49367	−	1.75823i	0.0549828	−	0.0647212i
$739$	0.696070			0.0256054			0.0128027	−	0.999918i	$-0.495925\pi$
$739$	0.696070			0.0256054			0.0128027	+	0.999918i	$0.495925\pi$
$740$	15.0128	+	38.8043i	0.551883	+	1.42648i
$741$	−2.90270	+	2.42063i	−0.106633	+	0.0889239i
$742$	17.7390	+	10.2416i	0.651218	+	0.375981i
$743$	−25.6777	−	14.8250i	−0.942024	−	0.543878i	−0.0514301	−	0.998677i	$-0.516378\pi$
$743$	−25.6777	−	14.8250i	−0.942024	−	0.543878i	−0.890594	+	0.454799i	$0.849711\pi$
$744$	4.44014	−	3.70273i	0.162783	−	0.135749i
$745$	−20.3764	+	7.88332i	−0.746532	+	0.288823i
$746$	−52.2226			−1.91200
$747$	−8.08970	−	1.47730i	−0.295987	−	0.0540514i
$748$		−	1.75969i		−	0.0643407i
$749$	−4.18619	−	7.25070i	−0.152960	−	0.264935i
$750$	43.3068	+	13.0110i	1.58134	+	0.475095i
$751$	3.82743	−	6.62931i	0.139665	−	0.241907i	−0.787705	−	0.616053i	$-0.788731\pi$
$751$	3.82743	−	6.62931i	0.139665	−	0.241907i	0.927370	+	0.374146i	$0.122064\pi$
$752$	6.55613	+	3.78518i	0.239077	+	0.138031i
$753$	−9.85203	+	26.8138i	−0.359028	+	0.977151i
$754$	−5.98837	−	10.3722i	−0.218084	−	0.377732i
$755$	6.39278	−	41.0614i	0.232657	−	1.49438i
$756$	−12.0887	−	21.3872i	−0.439663	−	0.777846i
$757$			0.945121i			0.0343510i	0.999852	+	0.0171755i	$0.00546740\pi$
$757$			0.945121i			0.0343510i	−0.999852	+	0.0171755i	$0.994533\pi$
$758$	−7.58962	+	4.38187i	−0.275667	+	0.159157i
$759$	7.30217	+	2.68299i	0.265052	+	0.0973862i
$760$	10.6666	−	13.2433i	0.386920	−	0.480385i
$761$	9.16042	−	15.8663i	0.332065	−	0.575154i	−0.650852	−	0.759205i	$-0.725588\pi$
$761$	9.16042	−	15.8663i	0.332065	−	0.575154i	0.982917	+	0.184051i	$0.0589213\pi$
$762$	−66.2979	+	11.4820i	−2.40172	+	0.415950i
$763$	−20.3597	+	11.7547i	−0.737071	+	0.425548i
$764$	57.7657			2.08989
$765$	3.35829	−	0.640733i	0.121419	−	0.0231658i
$766$	87.8406			3.17381
$767$	5.08483	−	2.93573i	0.183603	−	0.106003i
$768$	−24.3854	−	29.2418i	−0.879934	−	1.05517i
$769$	−0.868793	+	1.50479i	−0.0313295	+	0.0542642i	−0.881265	−	0.472622i	$-0.843307\pi$
$769$	−0.868793	+	1.50479i	−0.0313295	+	0.0542642i	0.849936	+	0.526887i	$0.176641\pi$
$770$	5.56841	+	4.48500i	0.200671	+	0.161628i
$771$	21.3108	−	17.7716i	0.767491	−	0.640028i
$772$	−58.0738	+	33.5289i	−2.09012	+	1.20673i
$773$			25.0767i			0.901945i	0.892538	+	0.450972i	$0.148923\pi$
$773$			25.0767i			0.901945i	−0.892538	+	0.450972i	$0.851077\pi$
$774$	−34.5467	+	12.3362i	−1.24176	+	0.443415i
$775$	−4.68705	−	1.49569i	−0.168364	−	0.0537269i
$776$	25.4658	+	44.1081i	0.914169	+	1.58339i
$777$	−12.5945	+	2.18122i	−0.451824	+	0.0782507i
$778$	50.9260	+	29.4021i	1.82579	+	1.05412i
$779$	−0.369143	+	0.639374i	−0.0132259	+	0.0229079i
$780$	−6.31518	+	11.3818i	−0.226120	+	0.407532i
$781$	−6.80441	−	11.7856i	−0.243481	−	0.421721i
$782$		−	5.34529i		−	0.191147i
$783$	−23.5856	−	13.9060i	−0.842880	−	0.496960i
$784$	5.20600			0.185929
$785$	1.00827	+	2.60611i	0.0359867	+	0.0930162i
$786$	−75.3823	−	27.6972i	−2.68880	−	0.987926i
$787$	−3.20223	−	1.84881i	−0.114147	−	0.0659028i	0.441839	−	0.897094i	$-0.354326\pi$
$787$	−3.20223	−	1.84881i	−0.114147	−	0.0659028i	−0.555987	+	0.831191i	$0.687659\pi$
$788$	3.29504	+	1.90239i	0.117381	+	0.0677699i
$789$	0.0778263	+	0.449374i	0.00277069	+	0.0159981i
$790$	−33.0748	−	85.4898i	−1.17675	−	3.04159i
$791$	13.2094			0.469671
$792$	10.0112	+	1.82819i	0.355732	+	0.0649619i
$793$			4.05098i			0.143854i
$794$	4.33040	+	7.50048i	0.153680	+	0.266182i
$795$	−12.7692	−	21.2714i	−0.452876	−	0.754420i
$796$	32.8126	−	56.8330i	1.16301	−	2.01439i
$797$	−10.8849	−	6.28442i	−0.385564	−	0.222605i	0.294672	−	0.955598i	$-0.404790\pi$
$797$	−10.8849	−	6.28442i	−0.385564	−	0.222605i	−0.680236	+	0.732993i	$0.738123\pi$
$798$	7.95180	+	9.53541i	0.281491	+	0.337550i
$799$	−1.89908	−	3.28929i	−0.0671844	−	0.116367i
$800$	−6.70708	+	21.0180i	−0.237131	+	0.743097i
$801$	−22.7248	−	19.3055i	−0.802943	−	0.682126i
$802$			49.6732i			1.75402i
$803$	−12.7398	+	7.35533i	−0.449578	+	0.259564i
$804$	11.4593	+	66.1664i	0.404137	+	2.33351i
$805$	10.7106	+	8.62671i	0.377499	+	0.304051i
$806$	1.11827	−	1.93690i	0.0393894	−	0.0682244i
$807$	6.98258	−	19.0042i	0.245798	−	0.668979i
$808$	29.9446	−	17.2885i	1.05345	−	0.608208i
$809$	−2.29228			−0.0805922			−0.0402961	−	0.999188i	$-0.512830\pi$
$809$	−2.29228			−0.0805922			−0.0402961	+	0.999188i	$0.512830\pi$
$810$	0.371331	+	46.9916i	0.0130472	+	1.65112i
$811$	−25.8386			−0.907315			−0.453657	−	0.891176i	$-0.649881\pi$
$811$	−25.8386			−0.907315			−0.453657	+	0.891176i	$0.649881\pi$
$812$	−21.5752	+	12.4565i	−0.757142	+	0.437136i
$813$	−8.44872	+	22.9945i	−0.296309	+	0.806453i
$814$	6.29215	−	10.8983i	0.220540	−	0.381986i
$815$	27.7574	−	34.4626i	0.972300	−	1.20717i
$816$	−0.153023	−	0.883565i	−0.00535688	−	0.0309310i
$817$	10.1664	−	5.86959i	0.355678	−	0.205351i
$818$		−	84.7062i		−	2.96168i
$819$	−3.04746	−	2.58892i	−0.106487	−	0.0904642i
$820$	−0.391136	+	2.51230i	−0.0136591	+	0.0877334i
$821$	−27.3154	−	47.3117i	−0.953315	−	1.65119i	−0.738178	−	0.674606i	$-0.764313\pi$
$821$	−27.3154	−	47.3117i	−0.953315	−	1.65119i	−0.215137	−	0.976584i	$-0.569020\pi$
$822$	48.6449	+	58.3326i	1.69668	+	2.03458i
$823$	9.65742	+	5.57572i	0.336637	+	0.194357i	0.658784	−	0.752332i	$-0.271071\pi$
$823$	9.65742	+	5.57572i	0.336637	+	0.194357i	−0.322147	+	0.946690i	$0.604405\pi$
$824$	1.79509	−	3.10919i	0.0625349	−	0.108314i
$825$	−3.26198	−	8.02244i	−0.113568	−	0.279305i
$826$	−9.64391	−	16.7037i	−0.335555	−	0.581198i
$827$			20.5402i			0.714251i	0.934056	+	0.357126i	$0.116243\pi$
$827$			20.5402i			0.714251i	−0.934056	+	0.357126i	$0.883757\pi$
$828$	45.7666	+	8.35763i	1.59050	+	0.290448i
$829$	12.0946			0.420063			0.210031	−	0.977695i	$-0.432643\pi$
$829$	12.0946			0.420063			0.210031	+	0.977695i	$0.432643\pi$
$830$	13.3486	−	5.16440i	0.463338	−	0.179259i
$831$	−3.75804	−	21.6992i	−0.130365	−	0.752736i
$832$	−10.3982	−	6.00341i	−0.360493	−	0.208131i
$833$	−2.26199	−	1.30596i	−0.0783732	−	0.0452488i
$834$	46.7509	+	17.1773i	1.61885	+	0.594803i
$835$	−1.64839	−	4.26067i	−0.0570450	−	0.147446i
$836$	−7.74032			−0.267705
$837$	0.0467154	−	5.11271i	0.00161472	−	0.176721i
$838$		−	19.4287i		−	0.671153i
$839$	16.9981	+	29.4416i	0.586840	+	1.01644i	0.994643	+	0.103367i	$0.0329618\pi$
$839$	16.9981	+	29.4416i	0.586840	+	1.01644i	−0.407803	+	0.913070i	$0.633705\pi$
$840$	15.7314	+	8.72858i	0.542784	+	0.301165i
$841$	0.617468	−	1.06949i	0.0212920	−	0.0368788i
$842$	47.3875	+	27.3592i	1.63308	+	0.942860i
$843$	−43.7040	+	7.56903i	−1.50525	+	0.260691i
$844$	25.0909	+	43.4588i	0.863666	+	1.49591i
$845$	4.14590	−	26.6295i	0.142623	−	0.916082i
$846$	49.1659	−	17.5565i	1.69036	−	0.603605i
$847$		−	1.36935i		−	0.0470514i
$848$	−5.63544	+	3.25363i	−0.193522	+	0.111730i
$849$	13.9115	−	11.6011i	0.477442	−	0.398150i
$850$	−4.40105	+	4.00486i	−0.150955	+	0.137366i
$851$	12.1027	−	20.9625i	0.414875	−	0.718584i
$852$	−52.1229	−	62.5033i	−1.78570	−	2.14133i
$853$	17.1646	−	9.91000i	0.587705	−	0.339312i	−0.176484	−	0.984303i	$-0.556472\pi$
$853$	17.1646	−	9.91000i	0.587705	−	0.339312i	0.764190	+	0.644992i	$0.223139\pi$
$854$	13.3075			0.455374
$855$	−2.81838	−	14.7720i	−0.0963866	−	0.505193i
$856$	20.7407			0.708902
$857$	30.9956	−	17.8953i	1.05879	−	0.611292i	0.133691	−	0.991023i	$-0.457317\pi$
$857$	30.9956	−	17.8953i	1.05879	−	0.611292i	0.925097	+	0.379731i	$0.123984\pi$
$858$	3.87912	−	0.671818i	0.132431	−	0.0229355i
$859$	−5.02698	+	8.70699i	−0.171518	+	0.297079i	−0.938951	−	0.344051i	$-0.888201\pi$
$859$	−5.02698	+	8.70699i	−0.171518	+	0.297079i	0.767432	+	0.641130i	$0.221534\pi$
$860$	25.3596	−	31.4855i	0.864756	−	1.07365i
$861$	−0.733167	−	0.269383i	−0.0249863	−	0.00918054i
$862$	44.9732	−	25.9653i	1.53179	−	0.884382i
$863$			28.1509i			0.958267i	0.877742	+	0.479133i	$0.159049\pi$
$863$			28.1509i			0.958267i	−0.877742	+	0.479133i	$0.840951\pi$
$864$	−22.9267	−	0.209484i	−0.779983	−	0.00712680i
$865$	−7.95226	−	1.23808i	−0.270385	−	0.0420958i
$866$	30.7648	+	53.2862i	1.04543	+	1.81074i
$867$	9.99980	−	27.2160i	0.339611	−	0.924305i
$868$	−4.02896	−	2.32612i	−0.136752	−	0.0789537i
$869$	−8.77771	+	15.2034i	−0.297763	+	0.515741i
$870$	47.6473	−	0.811930i	1.61540	−	0.0275270i
$871$	5.46495	+	9.46557i	0.185173	+	0.320729i
$872$		−	58.2391i		−	1.97223i
$873$	44.3095	+	8.09156i	1.49965	+	0.273858i
$874$	−23.5122			−0.795312
$875$	−0.921905	−	15.2820i	−0.0311661	−	0.516626i
$876$	−67.5638	+	56.3430i	−2.28277	+	1.90365i
$877$	−8.30375	−	4.79417i	−0.280398	−	0.161888i	0.353206	−	0.935546i	$-0.385092\pi$
$877$	−8.30375	−	4.79417i	−0.280398	−	0.161888i	−0.633603	+	0.773658i	$0.718425\pi$
$878$	−18.7627	−	10.8326i	−0.633210	−	0.365584i
$879$	11.7619	−	9.80852i	0.396719	−	0.330833i
$880$	−2.11844	+	0.819595i	−0.0714126	+	0.0276285i
$881$	−26.2109			−0.883069			−0.441535	−	0.897244i	$-0.645566\pi$
$881$	−26.2109			−0.883069			−0.441535	+	0.897244i	$0.645566\pi$
$882$	23.2441	−	27.3610i	0.782669	−	0.921294i
$883$			1.52450i			0.0513036i	0.999671	+	0.0256518i	$0.00816612\pi$
$883$			1.52450i			0.0513036i	−0.999671	+	0.0256518i	$0.991834\pi$
$884$	−0.856425	−	1.48337i	−0.0288047	−	0.0498912i
$885$	0.398039	+	23.3585i	0.0133799	+	0.785188i
$886$	−21.3017	+	36.8957i	−0.715645	+	1.23953i
$887$	17.6555	+	10.1934i	0.592812	+	0.342260i	0.766209	−	0.642592i	$-0.222141\pi$
$887$	17.6555	+	10.1934i	0.592812	+	0.342260i	−0.173397	+	0.984852i	$0.555474\pi$
$888$	10.9204	−	29.7217i	0.366466	−	0.997394i
$889$	11.3903	+	19.7285i	0.382017	+	0.661673i
$890$	51.2802	+	7.98374i	1.71892	+	0.267616i
$891$	6.96436	−	5.70067i	0.233315	−	0.190980i
$892$		−	19.6827i		−	0.659024i
$893$	−14.4686	+	8.35342i	−0.484172	+	0.279537i
$894$	37.0936	+	13.6291i	1.24060	+	0.455824i
$895$	−15.9985	−	12.8858i	−0.534771	−	0.430724i
$896$	−13.6791	+	23.6929i	−0.456988	+	0.791526i
$897$	7.46131	−	1.29221i	0.249126	−	0.0431457i
$898$	13.3344	−	7.69861i	0.444974	−	0.256906i
$899$	−5.18485			−0.172925
$900$	−27.4085	−	43.9438i	−0.913617	−	1.46479i
$901$	3.26477			0.108765
$902$	0.665984	−	0.384506i	0.0221748	−	0.0128026i
$903$	7.95427	+	9.53838i	0.264702	+	0.317417i
$904$	−16.3616	+	28.3391i	−0.544179	+	0.942546i
$905$	3.05282	+	2.45885i	0.101479	+	0.0817350i
$906$	−57.7267	+	48.1396i	−1.91784	+	1.59933i
$907$	−14.4424	+	8.33831i	−0.479551	+	0.276869i	−0.720229	−	0.693736i	$-0.755963\pi$
$907$	−14.4424	+	8.33831i	−0.479551	+	0.276869i	0.240678	+	0.970605i	$0.422630\pi$
$908$		−	45.4208i		−	1.50734i
$909$	5.49329	−	30.0814i	0.182201	−	0.997736i
$910$	6.87682	+	1.07064i	0.227964	+	0.0354914i
$911$	−10.7211	−	18.5694i	−0.355205	−	0.615233i	0.631948	−	0.775011i	$-0.282256\pi$
$911$	−10.7211	−	18.5694i	−0.355205	−	0.615233i	−0.987153	+	0.159778i	$0.948922\pi$
$912$	−3.88652	+	0.673100i	−0.128696	+	0.0222886i
$913$	−2.37391	−	1.37058i	−0.0785651	−	0.0453596i
$914$	−5.46790	+	9.47068i	−0.180862	+	0.313262i
$915$	−14.0943	−	7.82021i	−0.465942	−	0.258528i
$916$	1.59590	+	2.76418i	0.0527300	+	0.0913311i
$917$			27.1903i			0.897903i
$918$	−5.32696	−	3.14076i	−0.175816	−	0.103661i
$919$	−16.0726			−0.530185			−0.265093	−	0.964223i	$-0.585403\pi$
$919$	−16.0726			−0.530185			−0.265093	+	0.964223i	$0.585403\pi$
$920$	−31.7741	+	12.2930i	−1.04756	+	0.405287i
$921$	52.0097	+	19.1096i	1.71378	+	0.629681i
$922$	37.1707	+	21.4605i	1.22415	+	0.706764i
$923$	−11.4719	−	6.62328i	−0.377601	−	0.218008i
$924$	−1.39745	−	8.06898i	−0.0459728	−	0.265450i
$925$	−26.3272	+	5.74098i	−0.865634	+	0.188762i
$926$	−51.3586			−1.68775
$927$	−1.06774	−	2.99012i	−0.0350690	−	0.0982086i
$928$			23.2503i			0.763227i
$929$	12.4562	+	21.5747i	0.408673	+	0.707843i	0.994741	−	0.102419i	$-0.0326581\pi$
$929$	12.4562	+	21.5747i	0.408673	+	0.707843i	−0.586068	+	0.810262i	$0.699325\pi$
$930$	4.58014	+	7.62980i	0.150189	+	0.250191i
$931$	−5.74450	+	9.94976i	−0.188268	+	0.326090i
$932$	67.8008	+	39.1448i	2.22089	+	1.28223i
$933$	−16.4388	−	19.7126i	−0.538183	−	0.645363i
$934$	−12.3516	−	21.3936i	−0.404157	−	0.700020i
$935$	1.12606	+	0.175314i	0.0368260	+	0.00573338i
$936$	9.32893	−	3.33124i	0.304926	−	0.108885i
$937$			17.4981i			0.571637i	0.958284	+	0.285818i	$0.0922654\pi$
$937$			17.4981i			0.571637i	−0.958284	+	0.285818i	$0.907735\pi$
$938$	31.0946	−	17.9525i	1.01527	−	0.586168i
$939$	9.05689	+	52.2950i	0.295561	+	1.70658i
$940$	−36.0911	+	44.8093i	−1.17716	+	1.46152i
$941$	−16.3062	+	28.2431i	−0.531566	+	0.920699i	0.467755	+	0.883858i	$0.345063\pi$
$941$	−16.3062	+	28.2431i	−0.531566	+	0.920699i	−0.999321	+	0.0368412i	$0.988270\pi$
$942$	1.74314	−	4.74424i	0.0567946	−	0.154576i
$943$	1.28099	−	0.739580i	0.0417148	−	0.0240841i
$944$	6.12749			0.199433
$945$	14.8904	−	5.60502i	0.484385	−	0.182331i
$946$	−12.2277			−0.397558
$947$	29.1925	−	16.8543i	0.948630	−	0.547692i	0.0559749	−	0.998432i	$-0.482173\pi$
$947$	29.1925	−	16.8543i	0.948630	−	0.547692i	0.892655	+	0.450740i	$0.148840\pi$
$948$	−36.2078	+	98.5451i	−1.17597	+	3.20060i
$949$	−7.15954	+	12.4007i	−0.232408	+	0.402543i
$950$	17.6161	+	19.3588i	0.571542	+	0.628083i
$951$	−3.75925	−	21.7061i	−0.121902	−	0.703870i
$952$	−2.05026	+	1.18372i	−0.0664492	+	0.0383644i
$953$			50.0917i			1.62263i	0.584609	+	0.811315i	$0.301248\pi$
$953$			50.0917i			1.62263i	−0.584609	+	0.811315i	$0.698752\pi$
$954$	−8.06152	+	44.1450i	−0.261001	+	1.42925i
$955$	−5.75506	+	36.9652i	−0.186229	+	1.19617i
$956$	−1.05577	−	1.82865i	−0.0341460	−	0.0591426i
$957$	−5.84516	−	7.00923i	−0.188947	−	0.226576i
$958$	58.3296	+	33.6766i	1.88454	+	1.08804i
$959$	12.8578	−	22.2704i	0.415201	−	0.719149i
$960$	40.9604	−	24.5884i	1.32199	−	0.793587i
$961$	15.0159	+	26.0083i	0.484384	+	0.838977i
$962$		−	12.2493i		−	0.394934i
$963$	11.8756	−	13.9790i	0.382687	−	0.450468i
$964$	30.1605			0.971406
$965$	−15.6700	−	40.5028i	−0.504434	−	1.30383i
$966$	−4.24494	−	24.5105i	−0.136579	−	0.788614i
$967$	−35.6761	−	20.5976i	−1.14727	−	0.662374i	−0.199046	−	0.979990i	$-0.563784\pi$
$967$	−35.6761	−	20.5976i	−1.14727	−	0.662374i	−0.948219	+	0.317616i	$0.897118\pi$
$968$	2.93778	+	1.69613i	0.0944237	+	0.0545155i
$969$	1.85753	+	0.682500i	0.0596725	+	0.0219251i
$970$	−73.1143	+	28.2869i	−2.34756	+	0.908237i
$971$	−17.3406			−0.556487			−0.278243	−	0.960511i	$-0.589752\pi$
$971$	−17.3406			−0.556487			−0.278243	+	0.960511i	$0.589752\pi$
$972$	35.2203	−	40.6989i	1.12969	−	1.30542i
$973$		−	16.8630i		−	0.540602i
$974$	4.48753	+	7.77262i	0.143790	+	0.249051i
$975$	−6.65420	−	5.17512i	−0.213105	−	0.165737i
$976$	−2.11382	+	3.66124i	−0.0676616	+	0.117193i
$977$	−31.4566	−	18.1615i	−1.00639	−	0.581038i	−0.0962553	−	0.995357i	$-0.530687\pi$
$977$	−31.4566	−	18.1615i	−1.00639	−	0.581038i	−0.910132	+	0.414319i	$0.864020\pi$
$978$	−78.8655	+	13.6586i	−2.52184	+	0.436753i
$979$	−4.96969	−	8.60775i	−0.158832	−	0.275105i
$980$	−6.08676	+	39.0958i	−0.194434	+	1.24887i
$981$	−39.2526	−	33.3464i	−1.25324	−	1.06467i
$982$			30.4873i			0.972889i
$983$	−3.87383	+	2.23656i	−0.123556	+	0.0713351i	−0.560504	−	0.828152i	$-0.689393\pi$
$983$	−3.87383	+	2.23656i	−0.123556	+	0.0713351i	0.436948	+	0.899487i	$0.356059\pi$
$984$	1.48606	−	1.23926i	0.0473738	−	0.0395061i
$985$	−1.54565	+	1.91902i	−0.0492485	+	0.0611450i
$986$	−3.13546	+	5.43078i	−0.0998534	+	0.172951i
$987$	−11.3203	−	13.5747i	−0.360329	−	0.432089i
$988$	−6.52488	+	3.76714i	−0.207584	+	0.119849i
$989$	−23.5195			−0.747878
$990$	−5.15104	+	14.7932i	−0.163711	+	0.470159i
$991$	−17.3683			−0.551721			−0.275860	−	0.961198i	$-0.588963\pi$
$991$	−17.3683			−0.551721			−0.275860	+	0.961198i	$0.588963\pi$
$992$	−3.76007	+	2.17088i	−0.119382	+	0.0689255i
$993$	−41.8942	+	7.25558i	−1.32947	+	0.230249i
$994$	−21.7576	+	37.6853i	−0.690109	+	1.19530i
$995$	33.0994	+	26.6594i	1.04932	+	0.845161i
$996$	−15.3872	−	5.65360i	−0.487561	−	0.179141i
$997$	21.7198	−	12.5400i	0.687874	−	0.397144i	−0.114941	−	0.993372i	$-0.536668\pi$
$997$	21.7198	−	12.5400i	0.687874	−	0.397144i	0.802815	+	0.596228i	$0.203335\pi$
$998$		−	4.39540i		−	0.139134i
$999$	−13.7793	−	24.3782i	−0.435959	−	0.771293i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.u.a.364.24	yes	52
5.4	even	2	inner	495.2.u.a.364.3	yes	52
9.7	even	3	inner	495.2.u.a.34.3	✓	52
45.34	even	6	inner	495.2.u.a.34.24	yes	52

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.u.a.34.3	✓	52	9.7	even	3	inner
495.2.u.a.34.24	yes	52	45.34	even	6	inner
495.2.u.a.364.3	yes	52	5.4	even	2	inner
495.2.u.a.364.24	yes	52	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.u (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(2.02226 - 1.16755i) q^{2} +(0.597351 - 1.62578i) q^{3} +(1.72636 - 2.99014i) q^{4} +(1.74145 + 1.40263i) q^{5} +(-0.690190 - 3.98520i) q^{6} +(-1.18589 + 0.684674i) q^{7} -3.39225i q^{8} +(-2.28634 - 1.94233i) q^{9} +O(q^{10})\)	\(q+(2.02226 - 1.16755i) q^{2} +(0.597351 - 1.62578i) q^{3} +(1.72636 - 2.99014i) q^{4} +(1.74145 + 1.40263i) q^{5} +(-0.690190 - 3.98520i) q^{6} +(-1.18589 + 0.684674i) q^{7} -3.39225i q^{8} +(-2.28634 - 1.94233i) q^{9} +(5.15930 + 0.803244i) q^{10} +(-0.500000 - 0.866025i) q^{11} +(-3.83008 - 4.59285i) q^{12} +(-0.842973 - 0.486691i) q^{13} +(-1.59879 + 2.76918i) q^{14} +(3.32062 - 1.99336i) q^{15} +(-0.507914 - 0.879733i) q^{16} +0.509654i q^{17} +(-6.89135 - 1.25846i) q^{18} +2.24180 q^{19} +(7.20042 - 2.78574i) q^{20} +(0.404740 + 2.33699i) q^{21} +(-2.02226 - 1.16755i) q^{22} +(-3.88973 - 2.24574i) q^{23} +(-5.51507 - 2.02636i) q^{24} +(1.06528 + 4.88520i) q^{25} -2.27295 q^{26} +(-4.52355 + 2.55685i) q^{27} +4.72797i q^{28} +(2.63463 + 4.56331i) q^{29} +(4.38781 - 7.90809i) q^{30} +(-0.491991 + 0.852154i) q^{31} +(3.82128 + 2.20622i) q^{32} +(-1.70665 + 0.295571i) q^{33} +(0.595048 + 1.03065i) q^{34} +(-3.02551 - 0.471037i) q^{35} +(-9.75488 + 3.48334i) q^{36} +5.38918i q^{37} +(4.53351 - 2.61743i) q^{38} +(-1.29480 + 1.07977i) q^{39} +(4.75806 - 5.90743i) q^{40} +(-0.164663 + 0.285205i) q^{41} +(3.54705 + 4.25345i) q^{42} +(4.53493 - 2.61824i) q^{43} -3.45272 q^{44} +(-1.25719 - 6.58934i) q^{45} -10.4881 q^{46} +(-6.45398 + 3.72620i) q^{47} +(-1.73366 + 0.300249i) q^{48} +(-2.56244 + 4.43828i) q^{49} +(7.85800 + 8.63538i) q^{50} +(0.828587 + 0.304442i) q^{51} +(-2.91055 + 1.68041i) q^{52} -6.40586i q^{53} +(-6.16254 + 10.4521i) q^{54} +(0.343986 - 2.20945i) q^{55} +(2.32259 + 4.02284i) q^{56} +(1.33914 - 3.64469i) q^{57} +(10.6558 + 6.15214i) q^{58} +(-3.01601 + 5.22388i) q^{59} +(-0.227837 - 13.3704i) q^{60} +(-2.08088 - 3.60419i) q^{61} +2.29770i q^{62} +(4.04121 + 0.737984i) q^{63} +12.3352 q^{64} +(-0.785348 - 2.02992i) q^{65} +(-3.10619 + 2.59032i) q^{66} +(-9.72442 - 5.61440i) q^{67} +(1.52394 + 0.879846i) q^{68} +(-5.97462 + 4.98237i) q^{69} +(-6.66833 + 2.57988i) q^{70} +13.6088 q^{71} +(-6.58886 + 7.75586i) q^{72} -14.7107i q^{73} +(6.29215 + 10.8983i) q^{74} +(8.57862 + 1.18626i) q^{75} +(3.87016 - 6.70331i) q^{76} +(1.18589 + 0.684674i) q^{77} +(-1.35775 + 3.69532i) q^{78} +(-8.77771 - 15.2034i) q^{79} +(0.349431 - 2.24442i) q^{80} +(1.45474 + 8.88165i) q^{81} +0.769012i q^{82} +(2.37391 - 1.37058i) q^{83} +(7.68666 + 2.82426i) q^{84} +(-0.714854 + 0.887536i) q^{85} +(6.11387 - 10.5895i) q^{86} +(8.99275 - 1.55744i) q^{87} +(-2.93778 + 1.69613i) q^{88} +9.93938 q^{89} +(-10.2358 - 11.8575i) q^{90} +1.33290 q^{91} +(-13.4302 + 7.75390i) q^{92} +(1.09153 + 1.30891i) q^{93} +(-8.70108 + 15.0707i) q^{94} +(3.90399 + 3.14441i) q^{95} +(5.86948 - 4.89469i) q^{96} +(-13.0026 + 7.50705i) q^{97} +11.9671i q^{98} +(-0.538931 + 2.95120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 52 q + 20 q^{4} + q^{5} + 4 q^{6} + 6 q^{9}+O(q^{10}) \) 52 * q + 20 * q^4 + q^5 + 4 * q^6 + 6 * q^9	\( 52 q + 20 q^{4} + q^{5} + 4 q^{6} + 6 q^{9} - 26 q^{11} - 10 q^{14} - 8 q^{16} + 40 q^{19} - 11 q^{20} - 26 q^{21} - 36 q^{24} + q^{25} - 24 q^{26} - 6 q^{29} + 4 q^{30} + 30 q^{31} - 22 q^{34} + 64 q^{36} + 4 q^{39} - 15 q^{40} + 6 q^{41} - 40 q^{44} - 25 q^{45} - 84 q^{46} - 12 q^{49} - 55 q^{50} + 12 q^{51} + 2 q^{54} - 2 q^{55} + 30 q^{56} - 30 q^{59} + 39 q^{60} + 74 q^{61} + 20 q^{64} + 7 q^{65} - 2 q^{66} - 30 q^{69} - 28 q^{70} - 48 q^{71} + 14 q^{74} + 94 q^{75} + 74 q^{76} - 32 q^{79} - 10 q^{80} - 30 q^{81} + 132 q^{84} - 25 q^{85} + 14 q^{86} + 92 q^{89} - 73 q^{90} - 104 q^{91} - 50 q^{94} + 6 q^{95} + 60 q^{96} + 6 q^{99}+O(q^{100}) \) 52 * q + 20 * q^4 + q^5 + 4 * q^6 + 6 * q^9 - 26 * q^11 - 10 * q^14 - 8 * q^16 + 40 * q^19 - 11 * q^20 - 26 * q^21 - 36 * q^24 + q^25 - 24 * q^26 - 6 * q^29 + 4 * q^30 + 30 * q^31 - 22 * q^34 + 64 * q^36 + 4 * q^39 - 15 * q^40 + 6 * q^41 - 40 * q^44 - 25 * q^45 - 84 * q^46 - 12 * q^49 - 55 * q^50 + 12 * q^51 + 2 * q^54 - 2 * q^55 + 30 * q^56 - 30 * q^59 + 39 * q^60 + 74 * q^61 + 20 * q^64 + 7 * q^65 - 2 * q^66 - 30 * q^69 - 28 * q^70 - 48 * q^71 + 14 * q^74 + 94 * q^75 + 74 * q^76 - 32 * q^79 - 10 * q^80 - 30 * q^81 + 132 * q^84 - 25 * q^85 + 14 * q^86 + 92 * q^89 - 73 * q^90 - 104 * q^91 - 50 * q^94 + 6 * q^95 + 60 * q^96 + 6 * q^99

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