LMFDB - Embedded newform 980.2.o.f.411.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [980,2,Mod(31,980)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("980.31"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(980, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([3, 0, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 980 = 2^{2} \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	980.o (of order $6$, degree $2$, not minimal)

Newform invariants

comment:select newform

sage:traces = [32,2,0,-2,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(6)] == traces)

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

Self dual:	no
Analytic conductor:	$7.82533939809$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	no (minimal twist has level 140)
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			411.13
Character	$\chi$	$=$	980.411
Dual form			980.2.o.f.31.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.05472 - 0.942109i) q^{2} +(-0.450639 - 0.780530i) q^{3} +(0.224860 - 1.98732i) q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.21064 - 0.398687i) q^{6} +(-1.63511 - 2.30790i) q^{8} +(1.09385 - 1.89460i) q^{9} +(1.38447 - 0.288532i) q^{10} +(-3.24107 + 1.87123i) q^{11} +(-1.65249 + 0.720054i) q^{12} -2.41990i q^{13} -0.901278i q^{15} +(-3.89888 - 0.893735i) q^{16} +(0.505515 - 0.291859i) q^{17} +(-0.631220 - 3.02880i) q^{18} +(3.07977 - 5.33433i) q^{19} +(1.18839 - 1.60864i) q^{20} +(-1.65551 + 5.02706i) q^{22} +(-3.73439 - 2.15605i) q^{23} +(-1.06454 + 2.31628i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.27981 - 2.55232i) q^{26} -4.67556 q^{27} -0.435463 q^{29} +(-0.849103 - 0.950594i) q^{30} +(1.26933 + 2.19854i) q^{31} +(-4.95421 + 2.73053i) q^{32} +(2.92110 + 1.68650i) q^{33} +(0.258212 - 0.784080i) q^{34} +(-3.51922 - 2.59985i) q^{36} +(5.65039 - 9.78676i) q^{37} +(-1.77723 - 8.52769i) q^{38} +(-1.88881 + 1.09050i) q^{39} +(-0.262094 - 2.81626i) q^{40} -7.35068i q^{41} +5.80096i q^{43} +(2.98995 + 6.86180i) q^{44} +(1.89460 - 1.09385i) q^{45} +(-5.96996 + 1.24418i) q^{46} +(-5.78826 + 10.0256i) q^{47} +(1.05940 + 3.44594i) q^{48} +(1.34325 + 0.442358i) q^{50} +(-0.455610 - 0.263046i) q^{51} +(-4.80912 - 0.544138i) q^{52} +(1.55746 + 2.69759i) q^{53} +(-4.93139 + 4.40489i) q^{54} -3.74246 q^{55} -5.55147 q^{57} +(-0.459290 + 0.410254i) q^{58} +(1.73534 + 3.00569i) q^{59} +(-1.79113 - 0.202661i) q^{60} +(8.99597 + 5.19383i) q^{61} +(3.41004 + 1.12299i) q^{62} +(-2.65284 + 7.54735i) q^{64} +(1.20995 - 2.09570i) q^{65} +(4.66981 - 0.973217i) q^{66} +(8.52602 - 4.92250i) q^{67} +(-0.466348 - 1.07025i) q^{68} +3.88640i q^{69} -9.96771i q^{71} +(-6.16112 + 0.573383i) q^{72} +(-8.48612 + 4.89946i) q^{73} +(-3.26063 - 15.6456i) q^{74} +(0.450639 - 0.780530i) q^{75} +(-9.90849 - 7.31997i) q^{76} +(-0.964785 + 2.92964i) q^{78} +(-0.397549 - 0.229525i) q^{79} +(-2.92966 - 2.72344i) q^{80} +(-1.17456 - 2.03439i) q^{81} +(-6.92515 - 7.75290i) q^{82} +2.59747 q^{83} +0.583719 q^{85} +(5.46514 + 6.11837i) q^{86} +(0.196236 + 0.339892i) q^{87} +(9.61812 + 4.42040i) q^{88} +(8.55647 + 4.94008i) q^{89} +(0.967745 - 2.93862i) q^{90} +(-5.12447 + 6.93662i) q^{92} +(1.14402 - 1.98149i) q^{93} +(3.34020 + 16.0273i) q^{94} +(5.33433 - 3.07977i) q^{95} +(4.36382 + 2.63643i) q^{96} -4.54044i q^{97} +8.18738i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 2 q^{2} - 2 q^{4} - 4 q^{8} - 16 q^{9} + 30 q^{12} - 14 q^{16} - 8 q^{22} - 36 q^{24} + 16 q^{25} - 30 q^{26} - 40 q^{29} + 2 q^{32} + 60 q^{36} + 8 q^{37} + 60 q^{38} - 18 q^{44} - 12 q^{45} + 2 q^{46}+ \cdots + 60 q^{96}+O(q^{100}) $ 32 * q + 2 * q^2 - 2 * q^4 - 4 * q^8 - 16 * q^9 + 30 * q^12 - 14 * q^16 - 8 * q^22 - 36 * q^24 + 16 * q^25 - 30 * q^26 - 40 * q^29 + 2 * q^32 + 60 * q^36 + 8 * q^37 + 60 * q^38 - 18 * q^44 - 12 * q^45 + 2 * q^46 + 4 * q^50 + 36 * q^52 - 8 * q^53 - 12 * q^54 + 48 * q^57 + 2 * q^58 + 14 * q^60 - 24 * q^61 + 4 * q^64 + 4 * q^65 - 24 * q^66 - 60 * q^68 + 4 * q^72 + 72 * q^73 + 38 * q^74 + 120 * q^78 - 36 * q^81 - 42 * q^82 + 28 * q^86 + 4 * q^88 + 60 * q^89 - 4 * q^92 - 8 * q^93 - 18 * q^94 + 60 * q^96

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/980\mathbb{Z}\right)^\times$.

$n$	$101$	$197$	$491$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

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 $

$2$	1.05472	−	0.942109i	0.745798	−	0.666172i
$2$	1.05472	−	0.942109i	0.745798	−	0.666172i
$3$	−0.450639	−	0.780530i	−0.260177	−	0.450639i	0.706112	−	0.708100i	$-0.250447\pi$
$3$	−0.450639	−	0.780530i	−0.260177	−	0.450639i	−0.966289	+	0.257461i	$0.917114\pi$
$4$	0.224860	−	1.98732i	0.112430	−	0.993660i
$5$	0.866025	+	0.500000i	0.387298	+	0.223607i
$5$	0.866025	+	0.500000i	0.387298	+	0.223607i
$6$	−1.21064	−	0.398687i	−0.494242	−	0.162763i
$7$		0			0
$7$		0			0
$8$	−1.63511	−	2.30790i	−0.578098	−	0.815967i
$9$	1.09385	−	1.89460i	0.364616	−	0.631534i
$10$	1.38447	−	0.288532i	0.437807	−	0.0912418i
$11$	−3.24107	+	1.87123i	−0.977218	+	0.564197i	−0.901429	−	0.432927i	$-0.857481\pi$
$11$	−3.24107	+	1.87123i	−0.977218	+	0.564197i	−0.0757892	+	0.997124i	$0.524148\pi$
$12$	−1.65249	+	0.720054i	−0.477033	+	0.207862i
$13$		−	2.41990i		−	0.671161i	−0.942012	−	0.335580i	$-0.891068\pi$
$13$		−	2.41990i		−	0.671161i	0.942012	−	0.335580i	$-0.108932\pi$
$14$		0			0
$15$		−	0.901278i		−	0.232709i
$16$	−3.89888	−	0.893735i	−0.974719	−	0.223434i
$17$	0.505515	−	0.291859i	0.122605	−	0.0707863i	−0.437443	−	0.899246i	$-0.644116\pi$
$17$	0.505515	−	0.291859i	0.122605	−	0.0707863i	0.560048	+	0.828460i	$0.310782\pi$
$18$	−0.631220	−	3.02880i	−0.148780	−	0.713894i
$19$	3.07977	−	5.33433i	0.706549	−	1.22378i	−0.259581	−	0.965721i	$-0.583584\pi$
$19$	3.07977	−	5.33433i	0.706549	−	1.22378i	0.966130	−	0.258057i	$-0.0830822\pi$
$20$	1.18839	−	1.60864i	0.265733	−	0.359703i
$21$		0			0
$22$	−1.65551	+	5.02706i	−0.352955	+	1.07177i
$23$	−3.73439	−	2.15605i	−0.778674	−	0.449568i	0.0572861	−	0.998358i	$-0.481755\pi$
$23$	−3.73439	−	2.15605i	−0.778674	−	0.449568i	−0.835960	+	0.548790i	$0.815089\pi$
$24$	−1.06454	+	2.31628i	−0.217299	+	0.472809i
$25$	0.500000	+	0.866025i	0.100000	+	0.173205i
$26$	−2.27981	−	2.55232i	−0.447108	−	0.500550i
$27$	−4.67556			−0.899812
$28$		0			0
$29$	−0.435463			−0.0808634			−0.0404317	−	0.999182i	$-0.512873\pi$
$29$	−0.435463			−0.0808634			−0.0404317	+	0.999182i	$0.512873\pi$
$30$	−0.849103	−	0.950594i	−0.155024	−	0.173554i
$31$	1.26933	+	2.19854i	0.227978	+	0.394869i	0.957209	−	0.289399i	$-0.0934554\pi$
$31$	1.26933	+	2.19854i	0.227978	+	0.394869i	−0.729231	+	0.684268i	$0.760122\pi$
$32$	−4.95421	+	2.73053i	−0.875789	+	0.482694i
$33$	2.92110	+	1.68650i	0.508499	+	0.293582i
$34$	0.258212	−	0.784080i	0.0442831	−	0.134469i
$35$		0			0
$36$	−3.51922	−	2.59985i	−0.586536	−	0.433308i
$37$	5.65039	−	9.78676i	0.928918	−	1.60893i	0.143782	−	0.989609i	$-0.454073\pi$
$37$	5.65039	−	9.78676i	0.928918	−	1.60893i	0.785136	−	0.619324i	$-0.212593\pi$
$38$	−1.77723	−	8.52769i	−0.288304	−	1.38337i
$39$	−1.88881	+	1.09050i	−0.302451	+	0.174620i
$40$	−0.262094	−	2.81626i	−0.0414407	−	0.445289i
$41$		−	7.35068i		−	1.14798i	−0.818861	−	0.573992i	$-0.805394\pi$
$41$		−	7.35068i		−	1.14798i	0.818861	−	0.573992i	$-0.194606\pi$
$42$		0			0
$43$			5.80096i			0.884637i	0.896858	+	0.442319i	$0.145844\pi$
$43$			5.80096i			0.884637i	−0.896858	+	0.442319i	$0.854156\pi$
$44$	2.98995	+	6.86180i	0.450752	+	1.03446i
$45$	1.89460	−	1.09385i	0.282431	−	0.163061i
$46$	−5.96996	+	1.24418i	−0.880223	+	0.183444i
$47$	−5.78826	+	10.0256i	−0.844305	+	1.46238i	0.0419181	+	0.999121i	$0.486653\pi$
$47$	−5.78826	+	10.0256i	−0.844305	+	1.46238i	−0.886223	+	0.463258i	$0.846680\pi$
$48$	1.05940	+	3.44594i	0.152911	+	0.497379i
$49$		0			0
$50$	1.34325	+	0.442358i	0.189964	+	0.0625588i
$51$	−0.455610	−	0.263046i	−0.0637981	−	0.0368339i
$52$	−4.80912	−	0.544138i	−0.666905	−	0.0754584i
$53$	1.55746	+	2.69759i	0.213933	+	0.370543i	0.952942	−	0.303153i	$-0.0980393\pi$
$53$	1.55746	+	2.69759i	0.213933	+	0.370543i	−0.739009	+	0.673696i	$0.764706\pi$
$54$	−4.93139	+	4.40489i	−0.671078	+	0.599429i
$55$	−3.74246			−0.504633
$56$		0			0
$57$	−5.55147			−0.735310
$58$	−0.459290	+	0.410254i	−0.0603078	+	0.0538689i
$59$	1.73534	+	3.00569i	0.225922	+	0.391308i	0.956596	−	0.291419i	$-0.0941273\pi$
$59$	1.73534	+	3.00569i	0.225922	+	0.391308i	−0.730674	+	0.682727i	$0.760794\pi$
$60$	−1.79113	−	0.202661i	−0.231234	−	0.0261634i
$61$	8.99597	+	5.19383i	1.15182	+	0.665001i	0.949329	−	0.314284i	$-0.101764\pi$
$61$	8.99597	+	5.19383i	1.15182	+	0.665001i	0.202487	+	0.979285i	$0.435098\pi$
$62$	3.41004	+	1.12299i	0.433076	+	0.142620i
$63$		0			0
$64$	−2.65284	+	7.54735i	−0.331605	+	0.943418i
$65$	1.20995	−	2.09570i	0.150076	−	0.259939i
$66$	4.66981	−	0.973217i	0.574813	−	0.119795i
$67$	8.52602	−	4.92250i	1.04162	−	0.601379i	0.121327	−	0.992613i	$-0.461285\pi$
$67$	8.52602	−	4.92250i	1.04162	−	0.601379i	0.920291	+	0.391234i	$0.127952\pi$
$68$	−0.466348	−	1.07025i	−0.0565530	−	0.129787i
$69$			3.88640i			0.467868i
$70$		0			0
$71$		−	9.96771i		−	1.18295i	−0.806324	−	0.591475i	$-0.798546\pi$
$71$		−	9.96771i		−	1.18295i	0.806324	−	0.591475i	$-0.201454\pi$
$72$	−6.16112	+	0.573383i	−0.726095	+	0.0675738i
$73$	−8.48612	+	4.89946i	−0.993225	+	0.573439i	−0.906237	−	0.422771i	$-0.861058\pi$
$73$	−8.48612	+	4.89946i	−0.993225	+	0.573439i	−0.0869881	+	0.996209i	$0.527724\pi$
$74$	−3.26063	−	15.6456i	−0.379041	−	1.81876i
$75$	0.450639	−	0.780530i	0.0520353	−	0.0901278i
$76$	−9.90849	−	7.31997i	−1.13658	−	0.839658i
$77$		0			0
$78$	−0.964785	+	2.92964i	−0.109240	+	0.331716i
$79$	−0.397549	−	0.229525i	−0.0447278	−	0.0258236i	0.477469	−	0.878648i	$-0.341554\pi$
$79$	−0.397549	−	0.229525i	−0.0447278	−	0.0258236i	−0.522197	+	0.852825i	$0.674887\pi$
$80$	−2.92966	−	2.72344i	−0.327546	−	0.304489i
$81$	−1.17456	−	2.03439i	−0.130506	−	0.226044i
$82$	−6.92515	−	7.75290i	−0.764755	−	0.856164i
$83$	2.59747			0.285109			0.142554	−	0.989787i	$-0.454468\pi$
$83$	2.59747			0.285109			0.142554	+	0.989787i	$0.454468\pi$
$84$		0			0
$85$	0.583719			0.0633132
$86$	5.46514	+	6.11837i	0.589321	+	0.659761i
$87$	0.196236	+	0.339892i	0.0210388	+	0.0364402i
$88$	9.61812	+	4.42040i	1.02529	+	0.471217i
$89$	8.55647	+	4.94008i	0.906984	+	0.523648i	0.879460	−	0.475973i	$-0.157904\pi$
$89$	8.55647	+	4.94008i	0.906984	+	0.523648i	0.0275247	+	0.999621i	$0.491237\pi$
$90$	0.967745	−	2.93862i	0.102009	−	0.309758i
$91$		0			0
$92$	−5.12447	+	6.93662i	−0.534263	+	0.723192i
$93$	1.14402	−	1.98149i	0.118629	−	0.205471i
$94$	3.34020	+	16.0273i	0.344515	+	1.65309i
$95$	5.33433	−	3.07977i	0.547290	−	0.315978i
$96$	4.36382	+	2.63643i	0.445381	+	0.269079i
$97$		−	4.54044i		−	0.461011i	−0.973071	−	0.230506i	$-0.925962\pi$
$97$		−	4.54044i		−	0.461011i	0.973071	−	0.230506i	$-0.0740380\pi$
$98$		0			0
$99$			8.18738i			0.822862i
$100$	1.83350	−	0.798926i	0.183350	−	0.0798926i
$101$	−7.91930	+	4.57221i	−0.787999	+	0.454952i	−0.839258	−	0.543734i	$-0.817010\pi$
$101$	−7.91930	+	4.57221i	−0.787999	+	0.454952i	0.0512584	+	0.998685i	$0.483677\pi$
$102$	−0.728358	+	0.151795i	−0.0721182	+	0.0150299i
$103$	5.11597	−	8.86113i	0.504092	−	0.873113i	−0.495897	−	0.868381i	$-0.665161\pi$
$103$	5.11597	−	8.86113i	0.504092	−	0.873113i	0.999989	−	0.00473128i	$-0.00150602\pi$
$104$	−5.58490	+	3.95681i	−0.547645	+	0.387997i
$105$		0			0
$106$	4.18410	+	1.37790i	0.406396	+	0.133834i
$107$	−5.48368	−	3.16601i	−0.530128	−	0.306069i	0.210941	−	0.977499i	$-0.432347\pi$
$107$	−5.48368	−	3.16601i	−0.530128	−	0.306069i	−0.741068	+	0.671430i	$0.765681\pi$
$108$	−1.05134	+	9.29183i	−0.101166	+	0.894107i
$109$	9.38027	+	16.2471i	0.898467	+	1.55619i	0.829454	+	0.558575i	$0.188652\pi$
$109$	9.38027	+	16.2471i	0.898467	+	1.55619i	0.0690134	+	0.997616i	$0.478015\pi$
$110$	−3.94724	+	3.52581i	−0.376355	+	0.336173i
$111$	−10.1851			−0.966731
$112$		0			0
$113$	4.17847			0.393077			0.196539	−	0.980496i	$-0.437030\pi$
$113$	4.17847			0.393077			0.196539	+	0.980496i	$0.437030\pi$
$114$	−5.85523	+	5.23009i	−0.548393	+	0.489843i
$115$	−2.15605	−	3.73439i	−0.201053	−	0.348234i
$116$	−0.0979179	+	0.865403i	−0.00909145	+	0.0803507i
$117$	−4.58475	−	2.64701i	−0.423861	−	0.244716i
$118$	4.66198	+	1.53528i	0.429170	+	0.141334i
$119$		0			0
$120$	−2.08006	+	1.47369i	−0.189883	+	0.134529i
$121$	1.50301	−	2.60329i	0.136637	−	0.236663i
$122$	14.3814	−	2.99717i	1.30203	−	0.271351i
$123$	−5.73743	+	3.31250i	−0.517326	+	0.298678i
$124$	4.65461	−	2.02819i	0.417997	−	0.182137i
$125$			1.00000i			0.0894427i
$126$		0			0
$127$			4.91036i			0.435724i	0.975980	+	0.217862i	$0.0699083\pi$
$127$			4.91036i			0.435724i	−0.975980	+	0.217862i	$0.930092\pi$
$128$	4.31243	+	10.4596i	0.381169	+	0.924505i
$129$	4.52782	−	2.61414i	0.398652	−	0.230162i
$130$	−0.698219	−	3.35028i	−0.0612379	−	0.293839i
$131$	7.93723	−	13.7477i	0.693479	−	1.20114i	−0.277212	−	0.960809i	$-0.589410\pi$
$131$	7.93723	−	13.7477i	0.693479	−	1.20114i	0.970691	−	0.240332i	$-0.0772564\pi$
$132$	4.00845	−	5.42594i	0.348891	−	0.472267i
$133$		0			0
$134$	4.35501	−	13.2243i	0.376216	−	1.14240i
$135$	−4.04915	−	2.33778i	−0.348496	−	0.201204i
$136$	−1.50016	−	0.689459i	−0.128637	−	0.0591206i
$137$	3.92110	+	6.79155i	0.335002	+	0.580241i	0.983485	−	0.180988i	$-0.0579295\pi$
$137$	3.92110	+	6.79155i	0.335002	+	0.580241i	−0.648483	+	0.761229i	$0.724596\pi$
$138$	3.66142	+	4.09906i	0.311680	+	0.348935i
$139$	17.4044			1.47623			0.738113	−	0.674677i	$-0.235717\pi$
$139$	17.4044			1.47623			0.738113	+	0.674677i	$0.235717\pi$
$140$		0			0
$141$	10.4337			0.878674
$142$	−9.39067	−	10.5131i	−0.788048	−	0.882242i
$143$	4.52820	+	7.84307i	0.378667	+	0.655871i
$144$	−5.95805	+	6.40921i	−0.496505	+	0.534101i
$145$	−0.377122	−	0.217731i	−0.0313183	−	0.0180816i
$146$	−4.33463	+	13.1624i	−0.358736	+	1.08933i
$147$		0			0
$148$	−18.1789	−	13.4298i	−1.49429	−	1.10392i
$149$	−0.825776	+	1.43029i	−0.0676502	+	0.117174i	−0.897867	−	0.440268i	$-0.854884\pi$
$149$	−0.825776	+	1.43029i	−0.0676502	+	0.117174i	0.830216	+	0.557441i	$0.188217\pi$
$150$	−0.260047	−	1.24779i	−0.0212328	−	0.101882i
$151$	6.37060	−	3.67807i	0.518432	−	0.299317i	−0.217861	−	0.975980i	$-0.569908\pi$
$151$	6.37060	−	3.67807i	0.518432	−	0.299317i	0.736293	+	0.676663i	$0.236575\pi$
$152$	−17.3469	+	1.61438i	−1.40702	+	0.130944i
$153$		−	1.27700i		−	0.103239i
$154$		0			0
$155$			2.53865i			0.203909i
$156$	1.74246	+	3.99887i	0.139509	+	0.320166i
$157$	2.66953	−	1.54125i	0.213052	−	0.123005i	−0.389677	−	0.920952i	$-0.627413\pi$
$157$	2.66953	−	1.54125i	0.213052	−	0.123005i	0.602729	+	0.797946i	$0.294080\pi$
$158$	−0.635540	+	0.132451i	−0.0505609	+	0.0105372i
$159$	1.40370	−	2.43128i	0.111321	−	0.192813i
$160$	−5.65574	−	0.112397i	−0.447125	−	0.00888579i
$161$		0			0
$162$	−3.15545	−	1.03915i	−0.247915	−	0.0816433i
$163$	3.91284	+	2.25908i	0.306477	+	0.176945i	0.645349	−	0.763888i	$-0.276712\pi$
$163$	3.91284	+	2.25908i	0.306477	+	0.176945i	−0.338872	+	0.940833i	$0.610045\pi$
$164$	−14.6082	−	1.65287i	−1.14071	−	0.129068i
$165$	1.68650	+	2.92110i	0.131294	+	0.227408i
$166$	2.73959	−	2.44710i	0.212634	−	0.189932i
$167$	16.9358			1.31053			0.655266	−	0.755398i	$-0.272556\pi$
$167$	16.9358			1.31053			0.655266	+	0.755398i	$0.272556\pi$
$168$		0			0
$169$	7.14406			0.549543
$170$	0.615659	−	0.549927i	0.0472189	−	0.0421775i
$171$	−6.73762	−	11.6699i	−0.515238	−	0.892419i
$172$	11.5284	+	1.30440i	0.879029	+	0.0994596i
$173$	−0.114919	−	0.0663486i	−0.00873715	−	0.00504439i	0.495625	−	0.868537i	$-0.334939\pi$
$173$	−0.114919	−	0.0663486i	−0.00873715	−	0.00504439i	−0.504362	+	0.863492i	$0.668272\pi$
$174$	0.527189	+	0.173613i	0.0399661	+	0.0131616i
$175$		0			0
$176$	14.3089	−	4.39904i	1.07857	−	0.331590i
$177$	1.56402	−	2.70897i	0.117559	−	0.203618i
$178$	13.6788	−	2.85074i	1.02527	−	0.213672i
$179$	13.9422	−	8.04953i	1.04209	−	0.601650i	0.121664	−	0.992571i	$-0.461177\pi$
$179$	13.9422	−	8.04953i	1.04209	−	0.601650i	0.920424	+	0.390921i	$0.127843\pi$
$180$	−1.74781	−	4.01114i	−0.130274	−	0.298973i
$181$		−	3.99317i		−	0.296810i	−0.988927	−	0.148405i	$-0.952586\pi$
$181$		−	3.99317i		−	0.296810i	0.988927	−	0.148405i	$-0.0474139\pi$
$182$		0			0
$183$		−	9.36216i		−	0.692071i
$184$	1.13018	+	12.1440i	0.0833177	+	0.895267i
$185$	9.78676	−	5.65039i	0.719537	−	0.415425i
$186$	−0.660170	−	3.16770i	−0.0484060	−	0.232267i
$187$	−1.09227	+	1.89187i	−0.0798749	+	0.138347i
$188$	18.6225	+	13.7575i	1.35818	+	1.00337i
$189$		0			0
$190$	2.72472	−	8.27381i	0.197672	−	0.600245i
$191$	17.3638	+	10.0250i	1.25640	+	0.725385i	0.972373	−	0.233431i	$-0.0749953\pi$
$191$	17.3638	+	10.0250i	1.25640	+	0.725385i	0.284030	+	0.958815i	$0.408329\pi$
$192$	7.08640	−	1.33051i	0.511417	−	0.0960214i
$193$	−9.66959	−	16.7482i	−0.696032	−	1.20556i	−0.969832	−	0.243776i	$-0.921614\pi$
$193$	−9.66959	−	16.7482i	−0.696032	−	1.20556i	0.273799	−	0.961787i	$-0.411720\pi$
$194$	−4.27759	−	4.78888i	−0.307113	−	0.343821i
$195$	−2.18101			−0.156185
$196$		0			0
$197$	−1.63738			−0.116659			−0.0583293	−	0.998297i	$-0.518577\pi$
$197$	−1.63738			−0.116659			−0.0583293	+	0.998297i	$0.518577\pi$
$198$	7.71340	+	8.63537i	0.548168	+	0.613689i
$199$	−0.391632	−	0.678326i	−0.0277621	−	0.0480853i	0.851811	−	0.523850i	$-0.175505\pi$
$199$	−0.391632	−	0.678326i	−0.0277621	−	0.0480853i	−0.879573	+	0.475765i	$0.842171\pi$
$200$	1.18115	−	2.57000i	0.0835198	−	0.181726i
$201$	−7.68431	−	4.43654i	−0.542009	−	0.312929i
$202$	−4.04510	+	12.2832i	−0.284612	+	0.864245i
$203$		0			0
$204$	−0.625205	+	0.846294i	−0.0437731	+	0.0592524i
$205$	3.67534	−	6.36588i	0.256697	−	0.444612i
$206$	−2.95224	−	14.1658i	−0.205692	−	0.986978i
$207$	−8.16972	+	4.71679i	−0.567835	+	0.327839i
$208$	−2.16275	+	9.43491i	−0.149960	+	0.654193i
$209$			23.0519i			1.59453i
$210$		0			0
$211$		−	9.22534i		−	0.635099i	−0.948242	−	0.317549i	$-0.897140\pi$
$211$		−	9.22534i		−	0.635099i	0.948242	−	0.317549i	$-0.102860\pi$
$212$	5.71118	−	2.48858i	0.392246	−	0.170916i
$213$	−7.78009	+	4.49184i	−0.533083	+	0.307776i
$214$	−8.76646	+	1.82699i	−0.599263	+	0.124890i
$215$	−2.90048	+	5.02378i	−0.197811	+	0.342619i
$216$	7.64505	+	10.7907i	0.520180	+	0.734217i
$217$		0			0
$218$	25.2001	+	8.29887i	1.70677	+	0.562071i
$219$	7.64835	+	4.41578i	0.516828	+	0.298391i
$220$	−0.841528	+	7.43747i	−0.0567358	+	0.501434i
$221$	−0.706272	−	1.22330i	−0.0475090	−	0.0822880i
$222$	−10.7425	+	9.59552i	−0.720986	+	0.644009i
$223$	−24.2380			−1.62310			−0.811550	−	0.584284i	$-0.801376\pi$
$223$	−24.2380			−1.62310			−0.811550	+	0.584284i	$0.801376\pi$
$224$		0			0
$225$	2.18770			0.145847
$226$	4.40710	−	3.93657i	0.293156	−	0.261857i
$227$	−5.31623	−	9.20798i	−0.352851	−	0.611155i	0.633897	−	0.773417i	$-0.281454\pi$
$227$	−5.31623	−	9.20798i	−0.352851	−	0.611155i	−0.986748	+	0.162262i	$0.948121\pi$
$228$	−1.24830	+	11.0325i	−0.0826707	+	0.730648i
$229$	25.5589	+	14.7564i	1.68898	+	0.975132i	0.955302	+	0.295633i	$0.0955304\pi$
$229$	25.5589	+	14.7564i	1.68898	+	0.975132i	0.733676	+	0.679499i	$0.237803\pi$
$230$	−5.79223	−	1.90749i	−0.381928	−	0.125776i
$231$		0			0
$232$	0.712029	+	1.00501i	0.0467470	+	0.0659819i
$233$	−14.0351	+	24.3096i	−0.919472	+	1.59257i	−0.119254	+	0.992864i	$0.538050\pi$
$233$	−14.0351	+	24.3096i	−0.919472	+	1.59257i	−0.800218	+	0.599709i	$0.795283\pi$
$234$	−7.32940	+	1.52749i	−0.479138	+	0.0998553i
$235$	−10.0256	+	5.78826i	−0.653996	+	0.377585i
$236$	6.36348	−	2.77281i	0.414227	−	0.180495i
$237$			0.413732i			0.0268748i
$238$		0			0
$239$		−	13.6279i		−	0.881512i	−0.897627	−	0.440756i	$-0.854710\pi$
$239$		−	13.6279i		−	0.881512i	0.897627	−	0.440756i	$-0.145290\pi$
$240$	−0.805504	+	3.51397i	−0.0519951	+	0.226826i
$241$	3.64372	−	2.10370i	0.234713	−	0.135512i	−0.378031	−	0.925793i	$-0.623399\pi$
$241$	3.64372	−	2.10370i	0.234713	−	0.135512i	0.612744	+	0.790281i	$0.290066\pi$
$242$	−0.867332	−	4.16174i	−0.0557542	−	0.267527i
$243$	−8.07194	+	13.9810i	−0.517815	+	0.896882i
$244$	12.3446	−	16.7100i	0.790283	−	1.06975i
$245$		0			0
$246$	−2.93062	+	8.89904i	−0.186850	+	0.567382i
$247$	−12.9086	−	7.45276i	−0.821352	−	0.474208i
$248$	2.99852	−	6.52433i	0.190406	−	0.414295i
$249$	−1.17052	−	2.02740i	−0.0741787	−	0.128481i
$250$	0.942109	+	1.05472i	0.0595842	+	0.0667062i
$251$	18.8826			1.19186			0.595928	−	0.803038i	$-0.296784\pi$
$251$	18.8826			1.19186			0.595928	+	0.803038i	$0.296784\pi$
$252$		0			0
$253$	16.1379			1.01458
$254$	4.62610	+	5.17905i	0.290267	+	0.324962i
$255$	−0.263046	−	0.455610i	−0.0164726	−	0.0285314i
$256$	14.4025	+	6.96913i	0.900155	+	0.435570i
$257$	−22.3734	−	12.9173i	−1.39561	−	0.805757i	−0.401682	−	0.915779i	$-0.631574\pi$
$257$	−22.3734	−	12.9173i	−1.39561	−	0.805757i	−0.993929	+	0.110022i	$0.964908\pi$
$258$	2.31277	−	7.02288i	0.143987	−	0.437225i
$259$		0			0
$260$	−3.89275	−	2.87580i	−0.241418	−	0.178349i
$261$	−0.476330	+	0.825028i	−0.0294841	+	0.0510680i
$262$	−4.58029	−	21.9777i	−0.282971	−	1.35779i
$263$	−9.26400	+	5.34857i	−0.571243	+	0.329807i	−0.757645	−	0.652666i	$-0.773650\pi$
$263$	−9.26400	+	5.34857i	−0.571243	+	0.329807i	0.186403	+	0.982473i	$0.440317\pi$
$264$	−0.884043	−	9.49923i	−0.0544091	−	0.584637i
$265$			3.11491i			0.191347i
$266$		0			0
$267$		−	8.90478i		−	0.544963i
$268$	−7.86542	−	18.0508i	−0.480457	−	1.10263i
$269$	7.24441	−	4.18256i	0.441699	−	0.255015i	−0.262619	−	0.964900i	$-0.584586\pi$
$269$	7.24441	−	4.18256i	0.441699	−	0.255015i	0.704318	+	0.709884i	$0.251253\pi$
$270$	−6.47316	+	1.34905i	−0.393944	+	0.0821004i
$271$	−13.5557	+	23.4791i	−0.823448	+	1.42625i	0.0796525	+	0.996823i	$0.474619\pi$
$271$	−13.5557	+	23.4791i	−0.823448	+	1.42625i	−0.903100	+	0.429430i	$0.858714\pi$
$272$	−2.23179	+	0.686127i	−0.135322	+	0.0416025i
$273$		0			0
$274$	10.5340	+	3.46906i	0.636385	+	0.209574i
$275$	−3.24107	−	1.87123i	−0.195444	−	0.112839i
$276$	7.72352	+	0.873895i	0.464901	+	0.0526023i
$277$	−1.67991	−	2.90970i	−0.100936	−	0.174827i	0.811134	−	0.584860i	$-0.198850\pi$
$277$	−1.67991	−	2.90970i	−0.100936	−	0.174827i	−0.912071	+	0.410033i	$0.865517\pi$
$278$	18.3568	−	16.3969i	1.10097	−	0.983420i
$279$	5.55380			0.332497
$280$		0			0
$281$	−7.33947			−0.437836			−0.218918	−	0.975743i	$-0.570253\pi$
$281$	−7.33947			−0.437836			−0.218918	+	0.975743i	$0.570253\pi$
$282$	11.0046	−	9.82966i	0.655313	−	0.585348i
$283$	3.60282	+	6.24027i	0.214165	+	0.370945i	0.953014	−	0.302926i	$-0.0979635\pi$
$283$	3.60282	+	6.24027i	0.214165	+	0.370945i	−0.738849	+	0.673871i	$0.764630\pi$
$284$	−19.8090	−	2.24133i	−1.17545	−	0.132999i
$285$	−4.80771	−	2.77573i	−0.284784	−	0.164420i
$286$	12.1650	+	4.00617i	0.719332	+	0.236890i
$287$		0			0
$288$	−0.245892	+	12.3730i	−0.0144893	+	0.729089i
$289$	−8.32964	+	14.4274i	−0.489979	+	0.848668i
$290$	−0.602884	+	0.125645i	−0.0354026	+	0.00737812i
$291$	−3.54395	+	2.04610i	−0.207750	+	0.119944i
$292$	7.82861	+	17.9663i	0.458135	+	1.05140i
$293$		−	8.47879i		−	0.495336i	−0.968845	−	0.247668i	$-0.920336\pi$
$293$		−	8.47879i		−	0.495336i	0.968845	−	0.247668i	$-0.0796642\pi$
$294$		0			0
$295$			3.47068i			0.202071i
$296$	−31.8259	+	2.96187i	−1.84984	+	0.172155i
$297$	15.1538	−	8.74905i	0.879312	−	0.507671i
$298$	0.476525	+	2.28652i	0.0276044	+	0.132455i
$299$	−5.21744	+	9.03686i	−0.301732	+	0.522615i
$300$	−1.44983	−	1.07107i	−0.0837060	−	0.0618384i
$301$		0			0
$302$	3.25404	−	9.88112i	0.187249	−	0.568595i
$303$	7.13749	+	4.12083i	0.410038	+	0.236736i
$304$	−16.7751	+	18.0454i	−0.962120	+	1.03497i
$305$	5.19383	+	8.99597i	0.297398	+	0.515108i
$306$	−1.20307	−	1.34687i	−0.0687752	−	0.0769957i
$307$	−10.4271			−0.595104			−0.297552	−	0.954706i	$-0.596170\pi$
$307$	−10.4271			−0.595104			−0.297552	+	0.954706i	$0.596170\pi$
$308$		0			0
$309$	−9.22183			−0.524612
$310$	2.39169	+	2.67756i	0.135839	+	0.152075i
$311$	3.96296	+	6.86404i	0.224719	+	0.389224i	0.956235	−	0.292600i	$-0.0945203\pi$
$311$	3.96296	+	6.86404i	0.224719	+	0.389224i	−0.731516	+	0.681824i	$0.761187\pi$
$312$	5.60518	+	2.57609i	0.317331	+	0.145843i
$313$	−12.5285	−	7.23333i	−0.708152	−	0.408852i	0.102224	−	0.994761i	$-0.467404\pi$
$313$	−12.5285	−	7.23333i	−0.708152	−	0.408852i	−0.810376	+	0.585910i	$0.800737\pi$
$314$	1.36357	−	4.14058i	0.0769507	−	0.233666i
$315$		0			0
$316$	−0.545533	+	0.738447i	−0.0306886	+	0.0415409i
$317$	−1.76853	+	3.06318i	−0.0993305	+	0.172046i	−0.911408	−	0.411504i	$-0.865003\pi$
$317$	−1.76853	+	3.06318i	−0.0993305	+	0.172046i	0.812077	+	0.583550i	$0.198337\pi$
$318$	−0.810024	−	3.88675i	−0.0454239	−	0.217958i
$319$	1.41136	−	0.814851i	0.0790212	−	0.0456229i
$320$	−6.07110	+	5.20978i	−0.339385	+	0.291235i
$321$			5.70690i			0.318528i
$322$		0			0
$323$		−	3.59544i		−	0.200056i
$324$	−4.30710	+	1.87677i	−0.239283	+	0.104265i
$325$	2.09570	−	1.20995i	0.116248	−	0.0671161i
$326$	6.25524	−	1.30363i	0.346446	−	0.0722015i
$327$	8.45423	−	14.6432i	0.467520	−	0.809769i
$328$	−16.9647	+	12.0192i	−0.936717	+	0.663648i
$329$		0			0
$330$	4.53078	+	1.49207i	0.249411	+	0.0821359i
$331$	−20.3773	−	11.7649i	−1.12004	−	0.646655i	−0.178629	−	0.983917i	$-0.557166\pi$
$331$	−20.3773	−	11.7649i	−1.12004	−	0.646655i	−0.941411	+	0.337261i	$0.890499\pi$
$332$	0.584065	−	5.16199i	0.0320547	−	0.283301i
$333$	−12.3613	−	21.4105i	−0.677397	−	1.17329i
$334$	17.8625	−	15.9554i	0.977393	−	0.873040i
$335$	9.84499			0.537890
$336$		0			0
$337$	5.10057			0.277846			0.138923	−	0.990303i	$-0.455636\pi$
$337$	5.10057			0.277846			0.138923	+	0.990303i	$0.455636\pi$
$338$	7.53497	−	6.73049i	0.409848	−	0.366090i
$339$	−1.88298	−	3.26142i	−0.102269	−	0.177136i
$340$	0.131255	−	1.16004i	0.00711829	−	0.0629118i
$341$	−8.22794	−	4.75040i	−0.445568	−	0.257249i
$342$	−18.1006	−	5.96087i	−0.978768	−	0.322327i
$343$		0			0
$344$	13.3880	−	9.48520i	0.721835	−	0.511407i
$345$	−1.94320	+	3.36572i	−0.104618	+	0.181204i
$346$	−0.183715	+	0.0382874i	−0.00987658	+	0.00205834i
$347$	−1.44316	+	0.833209i	−0.0774729	+	0.0447290i	−0.538236	−	0.842794i	$-0.680909\pi$
$347$	−1.44316	+	0.833209i	−0.0774729	+	0.0447290i	0.460763	+	0.887523i	$0.347576\pi$
$348$	0.719599	−	0.313557i	0.0385745	−	0.0168084i
$349$			27.6081i			1.47783i	0.673801	+	0.738913i	$0.264661\pi$
$349$			27.6081i			1.47783i	−0.673801	+	0.738913i	$0.735339\pi$
$350$		0			0
$351$			11.3144i			0.603918i
$352$	10.9475	−	18.1203i	0.583503	−	0.965815i
$353$	−23.5193	+	13.5789i	−1.25180	+	0.722730i	−0.971468	−	0.237172i	$-0.923779\pi$
$353$	−23.5193	+	13.5789i	−1.25180	+	0.722730i	−0.280337	+	0.959902i	$0.590446\pi$
$354$	−0.902540	−	4.33067i	−0.0479695	−	0.230173i
$355$	4.98385	−	8.63229i	0.264516	−	0.458154i
$356$	11.7415	−	15.8936i	0.622300	−	0.842360i
$357$		0			0
$358$	7.12154	−	21.6251i	0.376385	−	1.14292i
$359$	14.5102	+	8.37747i	0.765819	+	0.442146i	0.831381	−	0.555703i	$-0.187551\pi$
$359$	14.5102	+	8.37747i	0.765819	+	0.442146i	−0.0655619	+	0.997849i	$0.520884\pi$
$360$	−5.62238	−	2.58400i	−0.296325	−	0.136189i
$361$	−9.47002	−	16.4026i	−0.498422	−	0.863293i
$362$	−3.76200	−	4.21166i	−0.197726	−	0.221360i
$363$	−2.70926			−0.142199
$364$		0			0
$365$	−9.79892			−0.512899
$366$	−8.82018	−	9.87444i	−0.461038	−	0.516145i
$367$	−4.22213	−	7.31294i	−0.220393	−	0.381732i	0.734534	−	0.678572i	$-0.237401\pi$
$367$	−4.22213	−	7.31294i	−0.220393	−	0.381732i	−0.954927	+	0.296839i	$0.904067\pi$
$368$	12.6330	+	11.7437i	0.658540	+	0.612184i
$369$	−13.9266	−	8.04054i	−0.724991	−	0.418574i
$370$	4.99899	−	15.1798i	0.259885	−	0.789158i
$371$		0			0
$372$	−3.68062	−	2.71908i	−0.190831	−	0.140978i
$373$	5.18861	−	8.98694i	0.268656	−	0.465326i	−0.699859	−	0.714281i	$-0.746754\pi$
$373$	5.18861	−	8.98694i	0.268656	−	0.465326i	0.968515	+	0.248955i	$0.0800871\pi$
$374$	0.630311	+	3.02443i	0.0325926	+	0.156390i
$375$	0.780530	−	0.450639i	0.0403064	−	0.0232709i
$376$	32.6025	−	3.03414i	1.68134	−	0.156474i
$377$			1.05378i			0.0542723i
$378$		0			0
$379$		−	11.7976i		−	0.606002i	−0.952990	−	0.303001i	$-0.902011\pi$
$379$		−	11.7976i		−	0.606002i	0.952990	−	0.303001i	$-0.0979886\pi$
$380$	−4.92102	−	11.2935i	−0.252443	−	0.579346i
$381$	3.83268	−	2.21280i	0.196354	−	0.113365i
$382$	27.7586	−	5.78507i	1.42025	−	0.295990i
$383$	0.478522	−	0.828825i	0.0244514	−	0.0423510i	−0.853541	−	0.521026i	$-0.825549\pi$
$383$	0.478522	−	0.828825i	0.0244514	−	0.0423510i	0.877992	+	0.478675i	$0.158883\pi$
$384$	6.22067	−	8.07948i	0.317447	−	0.412304i
$385$		0			0
$386$	−25.9773	−	8.55483i	−1.32221	−	0.435430i
$387$	10.9905	+	6.34537i	0.558679	+	0.322553i
$388$	−9.02330	−	1.02096i	−0.458088	−	0.0518314i
$389$	15.0820	+	26.1228i	0.764689	+	1.32448i	0.940411	+	0.340041i	$0.110441\pi$
$389$	15.0820	+	26.1228i	0.764689	+	1.32448i	−0.175722	+	0.984440i	$0.556226\pi$
$390$	−2.30035	+	2.05475i	−0.116483	+	0.104046i
$391$	−2.51705			−0.127293
$392$		0			0
$393$	−14.3073			−0.721708
$394$	−1.72697	+	1.54259i	−0.0870037	+	0.0777147i
$395$	−0.229525	−	0.397549i	−0.0115487	−	0.0200029i
$396$	16.2709	+	1.84101i	0.817645	+	0.0925142i
$397$	5.37540	+	3.10349i	0.269783	+	0.155760i	0.628789	−	0.777576i	$-0.283551\pi$
$397$	5.37540	+	3.10349i	0.269783	+	0.155760i	−0.359006	+	0.933335i	$0.616884\pi$
$398$	−1.05212	−	0.346483i	−0.0527380	−	0.0173676i
$399$		0			0
$400$	−1.17544	−	3.82339i	−0.0587720	−	0.191170i
$401$	−13.1565	+	22.7877i	−0.657004	+	1.13796i	0.324384	+	0.945926i	$0.394843\pi$
$401$	−13.1565	+	22.7877i	−0.657004	+	1.13796i	−0.981387	+	0.192038i	$0.938490\pi$
$402$	−12.2845	+	2.56017i	−0.612694	+	0.127689i
$403$	5.32025	−	3.07165i	0.265020	−	0.153010i
$404$	7.30571	+	16.7663i	0.363473	+	0.834153i
$405$		−	2.34912i		−	0.116728i
$406$		0			0
$407$			42.2927i			2.09637i
$408$	0.137886	+	1.48161i	0.00682637	+	0.0733508i
$409$	15.9374	−	9.20148i	0.788055	−	0.454984i	−0.0512223	−	0.998687i	$-0.516312\pi$
$409$	15.9374	−	9.20148i	0.788055	−	0.454984i	0.839277	+	0.543703i	$0.182978\pi$
$410$	−2.12091	−	10.1768i	−0.104744	−	0.502595i
$411$	3.53400	−	6.12107i	0.174320	−	0.301930i
$412$	−16.4595	−	12.1596i	−0.810902	−	0.599060i
$413$		0			0
$414$	−4.17302	+	12.6716i	−0.205093	+	0.622777i
$415$	2.24947	+	1.29873i	0.110422	+	0.0637523i
$416$	6.60762	+	11.9887i	0.323965	+	0.587795i
$417$	−7.84312	−	13.5847i	−0.384079	−	0.665245i
$418$	21.7174	+	24.3132i	1.06223	+	1.18920i
$419$	−35.2426			−1.72171			−0.860856	−	0.508848i	$-0.830072\pi$
$419$	−35.2426			−1.72171			−0.860856	+	0.508848i	$0.830072\pi$
$420$		0			0
$421$	−15.6669			−0.763558			−0.381779	−	0.924254i	$-0.624688\pi$
$421$	−15.6669			−0.763558			−0.381779	+	0.924254i	$0.624688\pi$
$422$	−8.69128	−	9.73014i	−0.423085	−	0.473656i
$423$	12.6630	+	21.9329i	0.615695	+	1.06641i
$424$	3.67917	−	8.00531i	0.178676	−	0.388772i
$425$	0.505515	+	0.291859i	0.0245211	+	0.0141573i
$426$	−3.97400	+	12.0673i	−0.192541	+	0.584664i
$427$		0			0
$428$	−7.52492	+	10.1859i	−0.363731	+	0.492355i
$429$	4.08117	−	7.06879i	0.197041	−	0.341284i
$430$	1.67376	+	8.03123i	0.0807159	+	0.387300i
$431$	−1.73673	+	1.00270i	−0.0836555	+	0.0482985i	−0.541244	−	0.840865i	$-0.682047\pi$
$431$	−1.73673	+	1.00270i	−0.0836555	+	0.0482985i	0.457589	+	0.889164i	$0.348713\pi$
$432$	18.2294	+	4.17871i	0.877064	+	0.201048i
$433$		−	13.5978i		−	0.653469i	−0.945116	−	0.326734i	$-0.894052\pi$
$433$		−	13.5978i		−	0.653469i	0.945116	−	0.326734i	$-0.105948\pi$
$434$		0			0
$435$			0.392473i			0.0188176i
$436$	34.3974	−	14.9883i	1.64734	−	0.717809i
$437$	−23.0022	+	13.2803i	−1.10034	+	0.635283i
$438$	12.2270	−	2.54818i	0.584228	−	0.121757i
$439$	14.5247	−	25.1574i	0.693224	−	1.20070i	−0.277552	−	0.960711i	$-0.589523\pi$
$439$	14.5247	−	25.1574i	0.693224	−	1.20070i	0.970776	−	0.239989i	$-0.0771437\pi$
$440$	6.11933	+	8.63724i	0.291728	+	0.411764i
$441$		0			0
$442$	−1.89740	−	0.624849i	−0.0902500	−	0.0297211i
$443$	12.6757	+	7.31831i	0.602240	+	0.347703i	0.769922	−	0.638138i	$-0.220295\pi$
$443$	12.6757	+	7.31831i	0.602240	+	0.347703i	−0.167683	+	0.985841i	$0.553628\pi$
$444$	−2.29023	+	20.2411i	−0.108689	+	0.960601i
$445$	4.94008	+	8.55647i	0.234182	+	0.405616i
$446$	−25.5643	+	22.8349i	−1.21050	+	1.08126i
$447$	1.48851			0.0704040
$448$		0			0
$449$	−27.0699			−1.27751			−0.638754	−	0.769411i	$-0.720550\pi$
$449$	−27.0699			−1.27751			−0.638754	+	0.769411i	$0.720550\pi$
$450$	2.30740	−	2.06105i	0.108772	−	0.0971589i
$451$	13.7548	+	23.8241i	0.647689	+	1.12183i
$452$	0.939568	−	8.30395i	0.0441936	−	0.390585i
$453$	−5.74168	−	3.31496i	−0.269768	−	0.155750i
$454$	−14.2820	−	4.70335i	−0.670290	−	0.220739i
$455$		0			0
$456$	9.07725	+	12.8122i	0.425081	+	0.599989i
$457$	3.80306	−	6.58709i	0.177900	−	0.308131i	−0.763261	−	0.646090i	$-0.776403\pi$
$457$	3.80306	−	6.58709i	0.177900	−	0.308131i	0.941161	+	0.337959i	$0.109736\pi$
$458$	40.8596	−	8.51539i	1.90924	−	0.397898i
$459$	−2.36357	+	1.36461i	−0.110322	+	0.0636943i
$460$	−7.90623	+	3.44505i	−0.368630	+	0.160626i
$461$		−	12.7953i		−	0.595936i	−0.954576	−	0.297968i	$-0.903691\pi$
$461$		−	12.7953i		−	0.595936i	0.954576	−	0.297968i	$-0.0963089\pi$
$462$		0			0
$463$			27.9178i			1.29745i	0.761024	+	0.648724i	$0.224697\pi$
$463$			27.9178i			1.29745i	−0.761024	+	0.648724i	$0.775303\pi$
$464$	1.69782	+	0.389188i	0.0788191	+	0.0180676i
$465$	1.98149	−	1.14402i	0.0918895	−	0.0530524i
$466$	8.09917	+	38.8624i	0.375187	+	1.80026i
$467$	−11.3054	+	19.5815i	−0.523152	+	0.906126i	0.476485	+	0.879183i	$0.341911\pi$
$467$	−11.3054	+	19.5815i	−0.523152	+	0.906126i	−0.999637	+	0.0269432i	$0.991423\pi$
$468$	−6.29138	+	8.51617i	−0.290819	+	0.393660i
$469$		0			0
$470$	−5.12097	+	15.5502i	−0.236213	+	0.717276i
$471$	−2.40599	−	1.38910i	−0.110862	−	0.0640062i
$472$	4.09938	−	8.91963i	0.188689	−	0.410559i
$473$	−10.8549	−	18.8013i	−0.499110	−	0.864484i
$474$	0.389781	+	0.436371i	0.0179032	+	0.0200432i
$475$	6.15955			0.282620
$476$		0			0
$477$	6.81448			0.312014
$478$	−12.8389	−	14.3735i	−0.587239	−	0.657430i
$479$	−10.9907	−	19.0365i	−0.502180	−	0.869801i	−0.999997	−	0.00251901i	$-0.999198\pi$
$479$	−10.9907	−	19.0365i	−0.502180	−	0.869801i	0.497817	−	0.867282i	$-0.334135\pi$
$480$	2.46097	+	4.46512i	0.112327	+	0.203804i
$481$	−23.6830	−	13.6734i	−1.07985	−	0.623453i
$482$	1.86118	−	5.65160i	0.0847744	−	0.257423i
$483$		0			0
$484$	−4.83560	−	3.57234i	−0.219800	−	0.162379i
$485$	2.27022	−	3.93213i	0.103085	−	0.178549i
$486$	4.65802	+	22.3507i	0.211292	+	1.01385i
$487$	−21.9822	+	12.6914i	−0.996108	+	0.575103i	−0.907095	−	0.420927i	$-0.861705\pi$
$487$	−21.9822	+	12.6914i	−0.996108	+	0.575103i	−0.0890138	+	0.996030i	$0.528372\pi$
$488$	−2.72254	−	29.2543i	−0.123244	−	1.32428i
$489$		−	4.07212i		−	0.184147i
$490$		0			0
$491$			36.4635i			1.64557i	0.568350	+	0.822787i	$0.307582\pi$
$491$			36.4635i			1.64557i	−0.568350	+	0.822787i	$0.692418\pi$
$492$	5.29289	+	12.1469i	0.238622	+	0.547627i
$493$	−0.220133	+	0.127094i	−0.00991429	+	0.00572402i
$494$	−20.6362	+	4.30072i	−0.928467	+	0.193498i
$495$	−4.09369	+	7.09048i	−0.183998	+	0.318693i
$496$	−2.98403	−	9.70626i	−0.133987	−	0.435824i
$497$		0			0
$498$	−3.14460	−	1.03558i	−0.140913	−	0.0464053i
$499$	−10.2874	−	5.93945i	−0.460528	−	0.265886i	0.251738	−	0.967795i	$-0.418998\pi$
$499$	−10.2874	−	5.93945i	−0.460528	−	0.265886i	−0.712266	+	0.701909i	$0.752331\pi$
$500$	1.98732	+	0.224860i	0.0888756	+	0.0100560i
$501$	−7.63194	−	13.2189i	−0.340970	−	0.590577i
$502$	19.9158	−	17.7894i	0.888884	−	0.793981i
$503$	17.3055			0.771614			0.385807	−	0.922580i	$-0.373923\pi$
$503$	17.3055			0.771614			0.385807	+	0.922580i	$0.373923\pi$
$504$		0			0
$505$	−9.14442			−0.406921
$506$	17.0209	−	15.2036i	0.756672	−	0.675884i
$507$	−3.21939	−	5.57615i	−0.142978	−	0.247646i
$508$	9.75846	+	1.10414i	0.432962	+	0.0489884i
$509$	11.8717	+	6.85414i	0.526205	+	0.303805i	0.739470	−	0.673190i	$-0.235076\pi$
$509$	11.8717	+	6.85414i	0.526205	+	0.303805i	−0.213265	+	0.976994i	$0.568410\pi$
$510$	−0.706674	−	0.232721i	−0.0312921	−	0.0103051i
$511$		0			0
$512$	21.7562	−	6.21824i	0.961498	−	0.274810i
$513$	−14.3997	+	24.9410i	−0.635761	+	1.10117i
$514$	−35.7671	+	7.45408i	−1.57762	+	0.328785i
$515$	8.86113	−	5.11597i	0.390468	−	0.225437i
$516$	−4.17700	−	9.58603i	−0.183882	−	0.422002i
$517$		−	43.3247i		−	1.90542i
$518$		0			0
$519$			0.119597i			0.00524973i
$520$	−6.81507	+	0.634243i	−0.298861	+	0.0278134i
$521$	−31.4817	+	18.1760i	−1.37924	+	0.796304i	−0.992068	−	0.125704i	$-0.959881\pi$
$521$	−31.4817	+	18.1760i	−1.37924	+	0.796304i	−0.387171	+	0.922008i	$0.626548\pi$
$522$	0.274873	+	1.31893i	0.0120309	+	0.0577279i
$523$	−2.13211	+	3.69292i	−0.0932306	+	0.161480i	−0.908869	−	0.417082i	$-0.863053\pi$
$523$	−2.13211	+	3.69292i	−0.0932306	+	0.161480i	0.815638	+	0.578562i	$0.196386\pi$
$524$	−25.5363	−	18.8651i	−1.11556	−	0.824126i
$525$		0			0
$526$	−4.73196	+	14.3689i	−0.206323	+	0.626515i
$527$	1.28333	+	0.740929i	0.0559026	+	0.0322754i
$528$	−9.88173	−	9.18614i	−0.430047	−	0.399776i
$529$	−2.20289	−	3.81552i	−0.0957778	−	0.165892i
$530$	2.93459	+	3.28535i	0.127470	+	0.142707i
$531$	7.59279			0.329499
$532$		0			0
$533$	−17.7879			−0.770482
$534$	−8.38927	−	9.39203i	−0.363039	−	0.406433i
$535$	−3.16601	−	5.48368i	−0.136878	−	0.237080i
$536$	−25.3016	−	11.6284i	−1.09286	−	0.502270i
$537$	−12.5658	−	7.25487i	−0.542254	−	0.313071i
$538$	3.70038	−	11.2364i	0.159535	−	0.484438i
$539$		0			0
$540$	−5.55640	+	7.52129i	−0.239110	+	0.323665i
$541$	3.34133	−	5.78736i	0.143655	−	0.248818i	−0.785215	−	0.619223i	$-0.787448\pi$
$541$	3.34133	−	5.78736i	0.143655	−	0.248818i	0.928870	+	0.370405i	$0.120781\pi$
$542$	7.82248	+	37.5347i	0.336004	+	1.61225i
$543$	−3.11679	+	1.79948i	−0.133754	+	0.0772229i
$544$	−1.70750	+	2.82626i	−0.0732084	+	0.121175i
$545$			18.7605i			0.803614i
$546$		0			0
$547$		−	45.6888i		−	1.95351i	−0.214353	−	0.976756i	$-0.568764\pi$
$547$		−	45.6888i		−	1.95351i	0.214353	−	0.976756i	$-0.431236\pi$
$548$	14.3787	−	6.26534i	0.614226	−	0.267642i
$549$	19.6805	−	11.3625i	0.839942	−	0.484941i
$550$	−5.18132	+	1.07982i	−0.220932	+	0.0460436i
$551$	−1.34113	+	2.32290i	−0.0571339	+	0.0989589i
$552$	8.96944	−	6.35469i	0.381765	−	0.270474i
$553$		0			0
$554$	−4.51309	−	1.48625i	−0.191743	−	0.0631445i
$555$	−8.82059	−	5.09257i	−0.374413	−	0.216168i
$556$	3.91355	−	34.5882i	0.165972	−	1.46687i
$557$	−2.44203	−	4.22972i	−0.103472	−	0.179219i	0.809641	−	0.586926i	$-0.199662\pi$
$557$	−2.44203	−	4.22972i	−0.103472	−	0.179219i	−0.913113	+	0.407707i	$0.866329\pi$
$558$	5.85769	−	5.23229i	0.247976	−	0.221500i
$559$	14.0378			0.593734
$560$		0			0
$561$	1.96888			0.0831263
$562$	−7.74107	+	6.91459i	−0.326538	+	0.291674i
$563$	−1.36792	−	2.36931i	−0.0576509	−	0.0998543i	0.835760	−	0.549096i	$-0.185028\pi$
$563$	−1.36792	−	2.36931i	−0.0576509	−	0.0998543i	−0.893410	+	0.449241i	$0.851694\pi$
$564$	2.34611	−	20.7350i	0.0987891	−	0.873103i
$565$	3.61866	+	2.08923i	0.152238	+	0.0878947i
$566$	9.67897	+	3.18747i	0.406838	+	0.133979i
$567$		0			0
$568$	−23.0045	+	16.2983i	−0.965248	+	0.683861i
$569$	−2.29674	+	3.97807i	−0.0962843	+	0.166769i	−0.910144	−	0.414292i	$-0.864029\pi$
$569$	−2.29674	+	3.97807i	−0.0962843	+	0.166769i	0.813860	+	0.581062i	$0.197362\pi$
$570$	−7.68582	+	1.60177i	−0.321924	+	0.0670910i
$571$	−4.86573	+	2.80923i	−0.203625	+	0.117563i	−0.598345	−	0.801239i	$-0.704175\pi$
$571$	−4.86573	+	2.80923i	−0.203625	+	0.117563i	0.394720	+	0.918801i	$0.370841\pi$
$572$	16.6049	−	7.23539i	0.694286	−	0.302527i
$573$		−	18.0707i		−	0.754912i
$574$		0			0
$575$		−	4.31210i		−	0.179827i
$576$	11.3974	+	13.2817i	0.474892	+	0.553405i
$577$	29.7446	−	17.1731i	1.23828	−	0.714924i	0.269541	−	0.962989i	$-0.413128\pi$
$577$	29.7446	−	17.1731i	1.23828	−	0.714924i	0.968743	+	0.248065i	$0.0797948\pi$
$578$	4.80673	+	23.0642i	0.199934	+	0.959345i
$579$	−8.71499	+	15.0948i	−0.362182	+	0.627318i
$580$	−0.517501	+	0.700502i	−0.0214881	+	0.0290868i
$581$		0			0
$582$	−1.81021	+	5.49684i	−0.0750358	+	0.227851i
$583$	−10.0956	−	5.82872i	−0.418118	−	0.241401i
$584$	25.1832	+	11.5740i	1.04209	+	0.478935i
$585$	−2.64701	−	4.58475i	−0.109440	−	0.189556i
$586$	−7.98795	−	8.94273i	−0.329979	−	0.369421i
$587$	−40.1422			−1.65685			−0.828423	−	0.560103i	$-0.810762\pi$
$587$	−40.1422			−1.65685			−0.828423	+	0.560103i	$0.810762\pi$
$588$		0			0
$589$	15.6369			0.644309
$590$	3.26976	+	3.66058i	0.134614	+	0.150704i
$591$	0.737868	+	1.27802i	0.0303518	+	0.0525709i
$592$	−30.7769	+	33.1074i	−1.26492	+	1.36071i
$593$	−9.46884	−	5.46684i	−0.388839	−	0.224496i	0.292818	−	0.956168i	$-0.405407\pi$
$593$	−9.46884	−	5.46684i	−0.388839	−	0.224496i	−0.681657	+	0.731672i	$0.738740\pi$
$594$	7.74042	−	23.5043i	0.317593	−	0.964394i
$595$		0			0
$596$	2.65675	+	1.96269i	0.108825	+	0.0803951i
$597$	−0.352969	+	0.611361i	−0.0144461	+	0.0250213i
$598$	3.01079	+	14.4467i	0.123120	+	0.590771i
$599$	−4.51466	+	2.60654i	−0.184464	+	0.106500i	−0.589388	−	0.807850i	$-0.700631\pi$
$599$	−4.51466	+	2.60654i	−0.184464	+	0.106500i	0.404924	+	0.914350i	$0.367298\pi$
$600$	−2.53823	+	0.236220i	−0.103623	+	0.00964363i
$601$			16.1103i			0.657154i	0.944477	+	0.328577i	$0.106569\pi$
$601$			16.1103i			0.657154i	−0.944477	+	0.328577i	$0.893431\pi$
$602$		0			0
$603$		−	21.5379i		−	0.877090i
$604$	−5.87700	−	13.4875i	−0.239132	−	0.548797i
$605$	2.60329	−	1.50301i	0.105839	−	0.0611060i
$606$	11.4103	−	2.37798i	0.463512	−	0.0965989i
$607$	4.82810	−	8.36252i	0.195967	−	0.339424i	−0.751250	−	0.660017i	$-0.770549\pi$
$607$	4.82810	−	8.36252i	0.195967	−	0.339424i	0.947217	+	0.320593i	$0.103882\pi$
$608$	−0.692317	+	34.8368i	−0.0280772	+	1.41282i
$609$		0			0
$610$	13.9532	+	4.59506i	0.564949	+	0.186048i
$611$	24.2609	+	14.0070i	0.981491	+	0.566664i
$612$	−2.53781	−	0.287146i	−0.102585	−	0.0116072i
$613$	−3.92388	−	6.79635i	−0.158484	−	0.274502i	0.775838	−	0.630932i	$-0.217327\pi$
$613$	−3.92388	−	6.79635i	−0.158484	−	0.274502i	−0.934322	+	0.356430i	$0.883994\pi$
$614$	−10.9976	+	9.82343i	−0.443827	+	0.396441i
$615$	−6.62501			−0.267146
$616$		0			0
$617$	−28.8434			−1.16119			−0.580597	−	0.814191i	$-0.697181\pi$
$617$	−28.8434			−1.16119			−0.580597	+	0.814191i	$0.697181\pi$
$618$	−9.72643	+	8.68797i	−0.391254	+	0.349481i
$619$	1.24278	+	2.15256i	0.0499517	+	0.0865189i	0.889920	−	0.456116i	$-0.150760\pi$
$619$	1.24278	+	2.15256i	0.0499517	+	0.0865189i	−0.839968	+	0.542635i	$0.817427\pi$
$620$	5.04511	+	0.570840i	0.202617	+	0.0229255i
$621$	17.4604	+	10.0807i	0.700660	+	0.404526i
$622$	10.6465	+	3.50609i	0.426885	+	0.140581i
$623$		0			0
$624$	8.33885	−	2.56364i	0.333821	−	0.102628i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	−20.0286	+	4.17409i	−0.800504	+	0.166830i
$627$	17.9927	−	10.3881i	0.718558	−	0.414860i
$628$	−2.46269	−	5.65177i	−0.0982722	−	0.225530i
$629$		−	6.59647i		−	0.263019i
$630$		0			0
$631$		−	8.90728i		−	0.354593i	−0.984157	−	0.177297i	$-0.943265\pi$
$631$		−	8.90728i		−	0.354593i	0.984157	−	0.177297i	$-0.0567352\pi$
$632$	0.120314	+	1.29280i	0.00478585	+	0.0514250i
$633$	−7.20066	+	4.15730i	−0.286200	+	0.165238i
$634$	1.02055	+	4.89694i	0.0405314	+	0.194482i
$635$	−2.45518	+	4.25250i	−0.0974309	+	0.168755i
$636$	−4.51609	−	3.33630i	−0.179075	−	0.132293i
$637$		0			0
$638$	0.720911	−	2.18910i	0.0285412	−	0.0866672i
$639$	−18.8848	−	10.9032i	−0.747073	−	0.431323i
$640$	−1.49512	+	11.2145i	−0.0590996	+	0.443291i
$641$	−7.31652	−	12.6726i	−0.288985	−	0.500537i	0.684583	−	0.728935i	$-0.259984\pi$
$641$	−7.31652	−	12.6726i	−0.288985	−	0.500537i	−0.973568	+	0.228398i	$0.926651\pi$
$642$	5.37653	+	6.01917i	0.212195	+	0.237558i
$643$	24.2513			0.956380			0.478190	−	0.878256i	$-0.341293\pi$
$643$	24.2513			0.956380			0.478190	+	0.878256i	$0.341293\pi$
$644$		0			0
$645$	5.22827			0.205863
$646$	−3.38730	−	3.79218i	−0.133272	−	0.149201i
$647$	14.9578	+	25.9077i	0.588053	+	1.01854i	0.994487	+	0.104857i	$0.0334386\pi$
$647$	14.9578	+	25.9077i	0.588053	+	1.01854i	−0.406435	+	0.913680i	$0.633228\pi$
$648$	−2.77465	+	6.03722i	−0.108999	+	0.237164i
$649$	−11.2487	−	6.49444i	−0.441550	−	0.254929i
$650$	1.07046	−	3.25054i	0.0419870	−	0.127496i
$651$		0			0
$652$	5.36935	−	7.26808i	0.210280	−	0.284640i
$653$	7.78155	−	13.4780i	0.304516	−	0.527436i	−0.672638	−	0.739972i	$-0.734839\pi$
$653$	7.78155	−	13.4780i	0.304516	−	0.527436i	0.977153	+	0.212535i	$0.0681721\pi$
$654$	−4.87863	−	23.4092i	−0.190770	−	0.915373i
$655$	13.7477	−	7.93723i	0.537167	−	0.310133i
$656$	−6.56957	+	28.6594i	−0.256498	+	1.11896i
$657$			21.4371i			0.836340i
$658$		0			0
$659$			30.2702i			1.17916i	0.807710	+	0.589580i	$0.200707\pi$
$659$			30.2702i			1.17916i	−0.807710	+	0.589580i	$0.799293\pi$
$660$	6.18439	−	2.69478i	0.240727	−	0.104894i
$661$	−15.5209	+	8.96099i	−0.603693	+	0.348542i	−0.770493	−	0.637449i	$-0.779990\pi$
$661$	−15.5209	+	8.96099i	−0.603693	+	0.348542i	0.166800	+	0.985991i	$0.446656\pi$
$662$	−32.5761	+	6.78907i	−1.26611	+	0.263865i
$663$	−0.636547	+	1.10253i	−0.0247214	+	0.0428188i
$664$	−4.24714	−	5.99470i	−0.164821	−	0.232640i
$665$		0			0
$666$	−33.2087	−	10.9363i	−1.28681	−	0.423772i
$667$	1.62619	+	0.938880i	0.0629662	+	0.0363536i
$668$	3.80818	−	33.6569i	0.147343	−	1.30222i
$669$	10.9226	+	18.9185i	0.422292	+	0.731432i
$670$	10.3837	−	9.27506i	0.401157	−	0.358327i
$671$	−38.8754			−1.50077
$672$		0			0
$673$	21.1876			0.816723			0.408362	−	0.912820i	$-0.366100\pi$
$673$	21.1876			0.816723			0.408362	+	0.912820i	$0.366100\pi$
$674$	5.37966	−	4.80529i	0.207217	−	0.185093i
$675$	−2.33778	−	4.04915i	−0.0899812	−	0.155852i
$676$	1.60641	−	14.1975i	0.0617850	−	0.546059i
$677$	21.8732	+	12.6285i	0.840657	+	0.485353i	0.857487	−	0.514505i	$-0.172024\pi$
$677$	21.8732	+	12.6285i	0.840657	+	0.485353i	−0.0168308	+	0.999858i	$0.505358\pi$
$678$	−5.05863	−	1.66590i	−0.194275	−	0.0639786i
$679$		0			0
$680$	−0.954444	−	1.34717i	−0.0366012	−	0.0516615i
$681$	−4.79140	+	8.29895i	−0.183607	+	0.318016i
$682$	−13.1536	+	2.74128i	−0.503676	+	0.104969i
$683$	19.1391	−	11.0499i	0.732336	−	0.422814i	−0.0869404	−	0.996214i	$-0.527709\pi$
$683$	19.1391	−	11.0499i	0.732336	−	0.422814i	0.819276	+	0.573399i	$0.194376\pi$
$684$	−24.7068	+	10.7657i	−0.944689	+	0.411637i
$685$			7.84221i			0.299635i
$686$		0			0
$687$		−	26.5993i		−	1.01483i
$688$	5.18452	−	22.6172i	0.197658	−	0.862273i
$689$	6.52791	−	3.76889i	0.248694	−	0.143583i
$690$	1.12135	+	5.38060i	0.0426891	+	0.204836i
$691$	−9.05508	+	15.6839i	−0.344471	+	0.596642i	−0.985258	−	0.171077i	$-0.945275\pi$
$691$	−9.05508	+	15.6839i	−0.344471	+	0.596642i	0.640786	+	0.767719i	$0.278609\pi$
$692$	−0.157697	+	0.213462i	−0.00599473	+	0.00811461i
$693$		0			0
$694$	−0.737153	+	2.23841i	−0.0279819	+	0.0849691i
$695$	15.0727	+	8.70222i	0.571740	+	0.330094i
$696$	0.463569	−	1.00865i	0.0175715	−	0.0382330i
$697$	−2.14537	−	3.71588i	−0.0812615	−	0.140749i
$698$	26.0098	+	29.1187i	0.984486	+	1.10216i
$699$	25.2991			0.956901
$700$		0			0
$701$	14.4315			0.545070			0.272535	−	0.962146i	$-0.412138\pi$
$701$	14.4315			0.545070			0.272535	+	0.962146i	$0.412138\pi$
$702$	10.6594	+	11.9335i	0.402313	+	0.450401i
$703$	−34.8038	−	60.2820i	−1.31265	−	2.27358i
$704$	−5.52481	−	29.4255i	−0.208224	−	1.10902i
$705$	9.03582	+	5.21684i	0.340309	+	0.196477i
$706$	−12.0134	+	36.4796i	−0.452131	+	1.37293i
$707$		0			0
$708$	−5.03189	−	3.71735i	−0.189110	−	0.139706i
$709$	18.5131	−	32.0657i	0.695275	−	1.20425i	−0.274814	−	0.961498i	$-0.588616\pi$
$709$	18.5131	−	32.0657i	0.695275	−	1.20425i	0.970088	−	0.242753i	$-0.0780505\pi$
$710$	−2.87600	−	13.8000i	−0.107934	−	0.517904i
$711$	−0.869718	+	0.502132i	−0.0326170	+	0.0188314i
$712$	−2.58953	−	27.8251i	−0.0970469	−	1.04279i
$713$		−	10.9469i		−	0.409965i
$714$		0			0
$715$			9.05640i			0.338690i
$716$	−12.8620	−	29.5176i	−0.480674	−	1.10312i
$717$	−10.6369	+	6.14124i	−0.397244	+	0.229349i
$718$	23.1967	−	4.83433i	0.865692	−	0.180416i
$719$	10.0975	−	17.4894i	0.376573	−	0.652243i	−0.613988	−	0.789315i	$-0.710436\pi$
$719$	10.0975	−	17.4894i	0.376573	−	0.652243i	0.990561	+	0.137072i	$0.0437692\pi$
$720$	−8.36443	+	2.57151i	−0.311724	+	0.0958345i
$721$		0			0
$722$	−25.4412	−	8.37828i	−0.946824	−	0.311807i
$723$	−3.28401	−	1.89602i	−0.122134	−	0.0705138i
$724$	−7.93570	−	0.897902i	−0.294928	−	0.0333703i
$725$	−0.217731	−	0.377122i	−0.00808634	−	0.0140060i
$726$	−2.85750	+	2.55242i	−0.106052	+	0.0947292i
$727$	−10.7925			−0.400272			−0.200136	−	0.979768i	$-0.564138\pi$
$727$	−10.7925			−0.400272			−0.200136	+	0.979768i	$0.564138\pi$
$728$		0			0
$729$	7.50278			0.277881
$730$	−10.3351	+	9.23166i	−0.382519	+	0.341679i
$731$	1.69306	+	2.93247i	0.0626202	+	0.108461i
$732$	−18.6056	−	2.10517i	−0.687683	−	0.0778094i
$733$	−6.26329	−	3.61611i	−0.231340	−	0.133564i	0.379850	−	0.925048i	$-0.375976\pi$
$733$	−6.26329	−	3.61611i	−0.231340	−	0.133564i	−0.611190	+	0.791484i	$0.709309\pi$
$734$	−11.3427	−	3.73538i	−0.418668	−	0.137875i
$735$		0			0
$736$	24.3881	+	0.484669i	0.898958	+	0.0178651i
$737$	−18.4223	+	31.9083i	−0.678593	+	1.17536i
$738$	−22.2637	+	4.63990i	−0.819539	+	0.170797i
$739$	1.71927	−	0.992622i	0.0632444	−	0.0365142i	−0.468044	−	0.883705i	$-0.655041\pi$
$739$	1.71927	−	0.992622i	0.0632444	−	0.0365142i	0.531289	+	0.847191i	$0.321708\pi$
$740$	−9.02848	−	20.7200i	−0.331893	−	0.761681i
$741$			13.4340i			0.493511i
$742$		0			0
$743$		−	19.8225i		−	0.727216i	−0.931552	−	0.363608i	$-0.881545\pi$
$743$		−	19.8225i		−	0.727216i	0.931552	−	0.363608i	$-0.118455\pi$
$744$	−6.44368	+	0.599680i	−0.236237	+	0.0219853i
$745$	−1.43029	+	0.825776i	−0.0524016	+	0.0302541i
$746$	−2.99416	−	14.3669i	−0.109624	−	0.526011i
$747$	2.84124	−	4.92116i	0.103955	−	0.180056i
$748$	3.51414	+	2.59610i	0.128490	+	0.0949228i
$749$		0			0
$750$	0.398687	−	1.21064i	0.0145580	−	0.0442064i
$751$	−20.8718	−	12.0504i	−0.761624	−	0.439724i	0.0682545	−	0.997668i	$-0.478257\pi$
$751$	−20.8718	−	12.0504i	−0.761624	−	0.439724i	−0.829879	+	0.557944i	$0.811590\pi$
$752$	31.5279	−	33.9153i	1.14971	−	1.23676i
$753$	−8.50921	−	14.7384i	−0.310093	−	0.537097i
$754$	0.992774	+	1.11144i	0.0361547	+	0.0404762i
$755$	7.35613			0.267717
$756$		0			0
$757$	34.8711			1.26741			0.633706	−	0.773574i	$-0.281533\pi$
$757$	34.8711			1.26741			0.633706	+	0.773574i	$0.281533\pi$
$758$	−11.1146	−	12.4431i	−0.403702	−	0.451955i
$759$	−7.27236	−	12.5961i	−0.263970	−	0.457209i
$760$	−15.8300	−	7.27534i	−0.574215	−	0.263904i
$761$	−7.76620	−	4.48382i	−0.281524	−	0.162538i	0.352589	−	0.935778i	$-0.385301\pi$
$761$	−7.76620	−	4.48382i	−0.281524	−	0.162538i	−0.634113	+	0.773240i	$0.718635\pi$
$762$	1.95770	−	5.94469i	0.0709200	−	0.215353i
$763$		0			0
$764$	23.8273	−	32.2533i	0.862043	−	1.16688i
$765$	0.638500	−	1.10591i	0.0230850	−	0.0399844i
$766$	−0.276138	−	1.32500i	−0.00997727	−	0.0478741i
$767$	7.27349	−	4.19935i	0.262631	−	0.151630i
$768$	−1.05071	−	14.3821i	−0.0379141	−	0.518970i
$769$			0.573577i			0.0206837i	0.999947	+	0.0103419i	$0.00329197\pi$
$769$			0.573577i			0.0206837i	−0.999947	+	0.0103419i	$0.996708\pi$
$770$		0			0
$771$			23.2841i			0.838556i
$772$	−35.4584	+	15.4506i	−1.27617	+	0.556078i
$773$	3.76591	−	2.17425i	0.135450	−	0.0782023i	−0.430744	−	0.902474i	$-0.641749\pi$
$773$	3.76591	−	2.17425i	0.135450	−	0.0782023i	0.566194	+	0.824272i	$0.308415\pi$
$774$	17.5699	−	3.66168i	0.631537	−	0.131616i
$775$	−1.26933	+	2.19854i	−0.0455955	+	0.0789738i
$776$	−10.4789	+	7.42411i	−0.376170	+	0.266510i
$777$		0			0
$778$	40.5179	+	13.3433i	1.45264	+	0.478381i
$779$	−39.2109	−	22.6384i	−1.40488	−	0.811107i
$780$	−0.490420	+	4.33436i	−0.0175599	+	0.155195i
$781$	18.6519	+	32.3060i	0.667417	+	1.15600i
$782$	−2.65478	+	2.37134i	−0.0949348	+	0.0847990i
$783$	2.03603			0.0727618
$784$		0			0
$785$	3.08251			0.110019
$786$	−15.0902	+	13.4790i	−0.538249	+	0.480782i
$787$	10.5248	+	18.2295i	0.375168	+	0.649811i	0.990352	−	0.138573i	$-0.0442516\pi$
$787$	10.5248	+	18.2295i	0.375168	+	0.649811i	−0.615184	+	0.788384i	$0.710918\pi$
$788$	−0.368181	+	3.25400i	−0.0131159	+	0.115919i
$789$	8.34944	+	4.82055i	0.297248	+	0.171616i
$790$	−0.616619	−	0.203065i	−0.0219383	−	0.00722471i
$791$		0			0
$792$	18.8957	−	13.3873i	0.671428	−	0.475695i
$793$	12.5686	−	21.7694i	0.446323	−	0.773054i
$794$	8.59335	−	1.79091i	0.304967	−	0.0635570i
$795$	2.43128	−	1.40370i	0.0862286	−	0.0497841i
$796$	−1.43611	+	0.625770i	−0.0509017	+	0.0221798i
$797$			14.7349i			0.521938i	0.965347	+	0.260969i	$0.0840420\pi$
$797$			14.7349i			0.521938i	−0.965347	+	0.260969i	$0.915958\pi$
$798$		0			0
$799$			6.75744i			0.239061i
$800$	−4.84181	−	2.92521i	−0.171184	−	0.103422i
$801$	18.7190	−	10.8074i	0.661403	−	0.381861i
$802$	7.59213	+	36.4295i	0.268087	+	1.28637i
$803$	18.3360	−	31.7590i	0.647065	−	1.12075i
$804$	−10.5447	+	14.2736i	−0.371883	+	0.503390i
$805$		0			0
$806$	2.71753	−	8.25198i	0.0957210	−	0.290663i
$807$	−6.52923	−	3.76965i	−0.229840	−	0.132698i
$808$	23.5011	+	10.8009i	0.826767	+	0.379975i
$809$	7.23808	+	12.5367i	0.254477	+	0.440768i	0.964753	−	0.263156i	$-0.0847632\pi$
$809$	7.23808	+	12.5367i	0.254477	+	0.440768i	−0.710276	+	0.703923i	$0.751430\pi$
$810$	−2.21312	−	2.47765i	−0.0777613	−	0.0870559i
$811$	18.5825			0.652521			0.326260	−	0.945280i	$-0.394211\pi$
$811$	18.5825			0.652521			0.326260	+	0.945280i	$0.394211\pi$
$812$		0			0
$813$	24.4348			0.856967
$814$	39.8444	+	44.6069i	1.39654	+	1.56347i
$815$	2.25908	+	3.91284i	0.0791321	+	0.137061i
$816$	1.54127	+	1.43278i	0.0539553	+	0.0501573i
$817$	30.9442	+	17.8656i	1.08260	+	0.625040i
$818$	8.14069	−	24.7198i	0.284633	−	0.864306i
$819$		0			0
$820$	−11.8246	−	8.73551i	−0.412933	−	0.305057i
$821$	8.20275	−	14.2076i	0.286278	−	0.495848i	−0.686640	−	0.726997i	$-0.740915\pi$
$821$	8.20275	−	14.2076i	0.286278	−	0.495848i	0.972918	+	0.231149i	$0.0742486\pi$
$822$	−2.03934	−	9.78542i	−0.0711303	−	0.341306i
$823$	−38.0161	+	21.9486i	−1.32516	+	0.765081i	−0.984547	−	0.175123i	$-0.943968\pi$
$823$	−38.0161	+	21.9486i	−1.32516	+	0.765081i	−0.340612	+	0.940204i	$0.610634\pi$
$824$	−28.8158	+	2.68173i	−1.00385	+	0.0934226i
$825$			3.37300i			0.117433i
$826$		0			0
$827$			8.10796i			0.281941i	0.990014	+	0.140971i	$0.0450224\pi$
$827$			8.10796i			0.281941i	−0.990014	+	0.140971i	$0.954978\pi$
$828$	7.53673	+	17.2964i	0.261919	+	0.601093i
$829$	36.5657	−	21.1112i	1.26998	−	0.733223i	0.294995	−	0.955499i	$-0.404682\pi$
$829$	36.5657	−	21.1112i	1.26998	−	0.733223i	0.974984	+	0.222276i	$0.0713486\pi$
$830$	3.59611	−	0.749452i	0.124823	−	0.0260138i
$831$	−1.51407	+	2.62245i	−0.0525225	+	0.0909716i
$832$	18.2639	+	6.41961i	0.633185	+	0.222560i
$833$		0			0
$834$	−21.0705	−	6.93893i	−0.729613	−	0.240275i
$835$	14.6668	+	8.46791i	0.507567	+	0.293044i
$836$	45.8114	+	5.18343i	1.58442	+	0.179273i
$837$	−5.93481	−	10.2794i	−0.205137	−	0.355308i
$838$	−37.1710	+	33.2024i	−1.28405	+	1.14696i
$839$	31.8404			1.09925			0.549627	−	0.835410i	$-0.314770\pi$
$839$	31.8404			1.09925			0.549627	+	0.835410i	$0.314770\pi$
$840$		0			0
$841$	−28.8104			−0.993461
$842$	−16.5242	+	14.7599i	−0.569460	+	0.508661i
$843$	3.30745	+	5.72868i	0.113915	+	0.197306i
$844$	−18.3337	−	2.07441i	−0.631072	−	0.0714040i
$845$	6.18694	+	3.57203i	0.212837	+	0.122882i
$846$	34.0191	+	11.2031i	1.16960	+	0.385171i
$847$		0			0
$848$	−3.66139	−	11.9095i	−0.125733	−	0.408975i
$849$	3.24714	−	5.62422i	0.111442	−	0.193023i
$850$	0.808139	−	0.168421i	0.0277190	−	0.00577681i
$851$	−42.2015	+	24.3650i	−1.44665	+	0.835223i
$852$	7.17729	+	16.4716i	0.245890	+	0.564306i
$853$		−	16.2023i		−	0.554755i	−0.960761	−	0.277378i	$-0.910535\pi$
$853$		−	16.2023i		−	0.554755i	0.960761	−	0.277378i	$-0.0894653\pi$
$854$		0			0
$855$		−	13.4752i		−	0.460843i
$856$	1.65958	+	17.8326i	0.0567234	+	0.609505i
$857$	−35.4659	+	20.4762i	−1.21149	+	0.699455i	−0.963084	−	0.269201i	$-0.913240\pi$
$857$	−35.4659	+	20.4762i	−1.21149	+	0.699455i	−0.248407	+	0.968656i	$0.579907\pi$
$858$	−2.35509	−	11.3005i	−0.0804015	−	0.385792i
$859$	6.02640	−	10.4380i	0.205618	−	0.356141i	−0.744711	−	0.667387i	$-0.767413\pi$
$859$	6.02640	−	10.4380i	0.205618	−	0.356141i	0.950329	+	0.311246i	$0.100746\pi$
$860$	9.33165	+	6.89382i	0.318206	+	0.235077i
$861$		0			0
$862$	−0.887107	+	2.69376i	−0.0302150	+	0.0917499i
$863$	−0.494372	−	0.285426i	−0.0168286	−	0.00971602i	0.491562	−	0.870843i	$-0.336426\pi$
$863$	−0.494372	−	0.285426i	−0.0168286	−	0.00971602i	−0.508391	+	0.861127i	$0.669759\pi$
$864$	23.1637	−	12.7668i	0.788045	−	0.434334i
$865$	−0.0663486	−	0.114919i	−0.00225592	−	0.00390737i
$866$	−12.8106	−	14.3418i	−0.435323	−	0.487356i
$867$	15.0146			0.509924
$868$		0			0
$869$	1.71798			0.0582784
$870$	0.369753	+	0.413948i	0.0125358	+	0.0140342i
$871$	−11.9120	−	20.6321i	−0.403622	−	0.699093i
$872$	22.1590	−	48.2146i	0.750398	−	1.63275i
$873$	−8.60232	−	4.96655i	−0.291144	−	0.168092i
$874$	−11.7493	+	35.6775i	−0.397426	+	1.20681i
$875$		0			0
$876$	10.4954	−	14.2068i	0.354605	−	0.480003i
$877$	−9.47193	+	16.4059i	−0.319844	+	0.553987i	−0.980455	−	0.196742i	$-0.936964\pi$
$877$	−9.47193	+	16.4059i	−0.319844	+	0.553987i	0.660611	+	0.750728i	$0.270297\pi$
$878$	−8.38165	−	40.2178i	−0.282867	−	1.35729i
$879$	−6.61794	+	3.82087i	−0.223218	+	0.128875i
$880$	14.5914	+	3.34477i	0.491876	+	0.112752i
$881$		−	35.7695i		−	1.20511i	−0.798079	−	0.602553i	$-0.794150\pi$
$881$		−	35.7695i		−	1.20511i	0.798079	−	0.602553i	$-0.205850\pi$
$882$		0			0
$883$		−	25.4594i		−	0.856776i	−0.903595	−	0.428388i	$-0.859082\pi$
$883$		−	25.4594i		−	0.856776i	0.903595	−	0.428388i	$-0.140918\pi$
$884$	−2.58990	+	1.12852i	−0.0871076	+	0.0379561i
$885$	2.70897	−	1.56402i	0.0910609	−	0.0525740i
$886$	20.2639	−	4.22313i	0.680779	−	0.141879i
$887$	5.30243	−	9.18408i	0.178038	−	0.308371i	−0.763170	−	0.646197i	$-0.776358\pi$
$887$	5.30243	−	9.18408i	0.178038	−	0.308371i	0.941209	+	0.337826i	$0.109692\pi$
$888$	16.6538	+	23.5063i	0.558865	+	0.788821i
$889$		0			0
$890$	13.2715	+	4.37057i	0.444863	+	0.146502i
$891$	7.61364	+	4.39574i	0.255067	+	0.147263i
$892$	−5.45015	+	48.1687i	−0.182485	+	1.61281i
$893$	35.6531	+	61.7530i	1.19309	+	2.06648i
$894$	1.56996	−	1.40234i	0.0525072	−	0.0469012i
$895$	16.0991			0.538132
$896$		0			0
$897$	9.40472			0.314014
$898$	−28.5511	+	25.5028i	−0.952763	+	0.851040i
$899$	−0.552744	−	0.957381i	−0.0184350	−	0.0319304i
$900$	0.491925	−	4.34765i	0.0163975	−	0.144922i
$901$	1.57463	+	0.909116i	0.0524587	+	0.0302870i
$902$	36.9523	+	12.1691i	1.23038	+	0.405187i
$903$		0			0
$904$	−6.83225	−	9.64350i	−0.227237	−	0.320738i
$905$	1.99658	−	3.45818i	0.0663687	−	0.114954i
$906$	−9.17891	+	1.91294i	−0.304949	+	0.0635533i
$907$	13.3054	−	7.68190i	0.441800	−	0.255073i	−0.262561	−	0.964915i	$-0.584567\pi$
$907$	13.3054	−	7.68190i	0.441800	−	0.255073i	0.704361	+	0.709842i	$0.251234\pi$
$908$	−19.4946	+	8.49454i	−0.646951	+	0.281901i
$909$			20.0052i			0.663531i
$910$		0			0
$911$		−	22.0734i		−	0.731324i	−0.930748	−	0.365662i	$-0.880843\pi$
$911$		−	22.0734i		−	0.731324i	0.930748	−	0.365662i	$-0.119157\pi$
$912$	21.6445	+	4.96154i	0.716720	+	0.164293i
$913$	−8.41856	+	4.86046i	−0.278614	+	0.160858i
$914$	−2.19461	−	10.5304i	−0.0725911	−	0.348315i
$915$	4.68108	−	8.10787i	0.154752	−	0.268038i
$916$	35.0729	−	47.4755i	1.15884	−	1.56864i
$917$		0			0
$918$	−1.20729	+	3.66601i	−0.0398464	+	0.120996i
$919$	45.1598	+	26.0730i	1.48968	+	0.860069i	0.999930	−	0.0117923i	$-0.00375369\pi$
$919$	45.1598	+	26.0730i	1.48968	+	0.860069i	0.489753	+	0.871861i	$0.337087\pi$
$920$	−5.09323	+	11.0821i	−0.167919	+	0.365366i
$921$	4.69884	+	8.13863i	0.154832	+	0.268177i
$922$	−12.0546	−	13.4954i	−0.396996	−	0.444448i
$923$	−24.1209			−0.793949
$924$		0			0
$925$	11.3008			0.371567
$926$	26.3016	+	29.4454i	0.864323	+	0.967634i
$927$	−11.1922	−	19.3855i	−0.367600	−	0.636702i
$928$	2.15737	−	1.18904i	0.0708193	−	0.0390323i
$929$	−24.8707	−	14.3591i	−0.815982	−	0.471107i	0.0330469	−	0.999454i	$-0.489479\pi$
$929$	−24.8707	−	14.3591i	−0.815982	−	0.471107i	−0.849029	+	0.528346i	$0.822812\pi$
$930$	1.01213	−	3.07340i	0.0331890	−	0.100781i
$931$		0			0
$932$	45.1549	+	33.3585i	1.47910	+	1.09270i
$933$	3.57173	−	6.18641i	0.116933	−	0.202534i
$934$	6.52394	+	31.3039i	0.213470	+	1.02430i
$935$	−1.89187	+	1.09227i	−0.0618708	+	0.0357211i
$936$	1.38753	+	14.9093i	0.0453529	+	0.487326i
$937$			44.9045i			1.46697i	0.679707	+	0.733484i	$0.262107\pi$
$937$			44.9045i			1.46697i	−0.679707	+	0.733484i	$0.737893\pi$
$938$		0			0
$939$			13.0385i			0.425495i
$940$	9.24879	+	21.2256i	0.301662	+	0.692301i
$941$	−15.3727	+	8.87541i	−0.501134	+	0.289330i	−0.729182	−	0.684320i	$-0.760099\pi$
$941$	−15.3727	+	8.87541i	−0.501134	+	0.289330i	0.228048	+	0.973650i	$0.426766\pi$
$942$	−3.84632	+	0.801598i	−0.125320	+	0.0261175i
$943$	−15.8484	+	27.4503i	−0.516096	+	0.893905i
$944$	−4.07957	−	13.2698i	−0.132779	−	0.431894i
$945$		0			0
$946$	−29.1618	−	9.60352i	−0.948130	−	0.312237i
$947$	32.1100	+	18.5387i	1.04344	+	0.602428i	0.920804	−	0.390025i	$-0.127533\pi$
$947$	32.1100	+	18.5387i	1.04344	+	0.602428i	0.122631	+	0.992452i	$0.460867\pi$
$948$	0.822218	+	0.0930316i	0.0267044	+	0.00302153i
$949$	11.8562	+	20.5356i	0.384869	+	0.666613i
$950$	6.49659	−	5.80297i	0.210777	−	0.188273i
$951$	3.18787			0.103374
$952$		0			0
$953$	−28.5420			−0.924567			−0.462283	−	0.886732i	$-0.652970\pi$
$953$	−28.5420			−0.924567			−0.462283	+	0.886732i	$0.652970\pi$
$954$	7.18736	−	6.41999i	0.232699	−	0.207855i
$955$	10.0250	+	17.3638i	0.324402	+	0.561881i
$956$	−27.0829	−	3.06435i	−0.875923	−	0.0991082i
$957$	−1.27203	−	0.734408i	−0.0411189	−	0.0237400i
$958$	−29.5266	−	9.72368i	−0.953962	−	0.314158i
$959$		0			0
$960$	6.80226	+	2.39094i	0.219542	+	0.0771674i
$961$	12.2776	−	21.2655i	0.396052	−	0.685983i
$962$	−37.8607	+	7.89042i	−1.22068	+	0.254397i
$963$	−11.9966	+	6.92626i	−0.386586	+	0.223196i
$964$	−3.36141	−	7.71428i	−0.108264	−	0.248460i
$965$		−	19.3392i		−	0.622550i
$966$		0			0
$967$		−	5.33936i		−	0.171702i	−0.996308	−	0.0858510i	$-0.972639\pi$
$967$		−	5.33936i		−	0.171702i	0.996308	−	0.0858510i	$-0.0273609\pi$
$968$	−8.46573	+	0.787860i	−0.272099	+	0.0253228i
$969$	−2.80635	+	1.62025i	−0.0901530	+	0.0520498i
$970$	−1.31006	−	6.28608i	−0.0420635	−	0.201834i
$971$	5.49906	−	9.52465i	0.176473	−	0.305660i	−0.764197	−	0.644983i	$-0.776864\pi$
$971$	5.49906	−	9.52465i	0.176473	−	0.305660i	0.940670	+	0.339323i	$0.110198\pi$
$972$	25.9697	+	19.1853i	0.832978	+	0.615368i
$973$		0			0
$974$	−11.2283	+	34.0955i	−0.359778	+	1.09249i
$975$	−1.88881	−	1.09050i	−0.0604902	−	0.0349241i
$976$	−30.4323	−	28.2901i	−0.974113	−	0.905544i
$977$	15.7434	+	27.2684i	0.503676	+	0.872392i	0.999991	+	0.00424979i	$0.00135275\pi$
$977$	15.7434	+	27.2684i	0.503676	+	0.872392i	−0.496315	+	0.868142i	$0.665314\pi$
$978$	−3.83638	−	4.29493i	−0.122674	−	0.137337i
$979$	−36.9761			−1.18176
$980$		0			0
$981$	41.0424			1.31038
$982$	34.3526	+	38.4587i	1.09624	+	1.22727i
$983$	17.2762	+	29.9232i	0.551025	+	0.954402i	0.998201	+	0.0599567i	$0.0190963\pi$
$983$	17.2762	+	29.9232i	0.551025	+	0.954402i	−0.447176	+	0.894446i	$0.647570\pi$
$984$	17.0263	+	7.82512i	0.542777	+	0.249456i
$985$	−1.41801	−	0.818690i	−0.0451817	−	0.0260856i
$986$	−0.112442	+	0.341438i	−0.00358088	+	0.0108736i
$987$		0			0
$988$	−17.7136	+	23.9776i	−0.563545	+	0.762829i
$989$	12.5072	−	21.6630i	0.397704	−	0.688844i
$990$	2.36232	+	11.3352i	0.0750794	+	0.360255i
$991$	47.8668	−	27.6359i	1.52054	−	0.877884i	0.520833	−	0.853659i	$-0.325622\pi$
$991$	47.8668	−	27.6359i	1.52054	−	0.877884i	0.999707	−	0.0242247i	$-0.00771173\pi$
$992$	−12.2917	−	7.42608i	−0.390261	−	0.235778i
$993$			21.2068i			0.672978i
$994$		0			0
$995$		−	0.783264i		−	0.0248311i
$996$	−4.29229	+	1.87032i	−0.136007	+	0.0592632i
$997$	−13.2344	+	7.64087i	−0.419137	+	0.241989i	−0.694708	−	0.719292i	$-0.744466\pi$
$997$	−13.2344	+	7.64087i	−0.419137	+	0.241989i	0.275571	+	0.961281i	$0.411133\pi$
$998$	−16.4459	+	3.42744i	−0.520587	+	0.108494i
$999$	−26.4187	+	45.7586i	−0.835851	+	1.44774i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	980.2.o.f.411.13		32
4.3	odd	2	inner	980.2.o.f.411.9		32
7.2	even	3		980.2.g.a.391.6		32
7.3	odd	6	inner	980.2.o.f.31.9		32
7.4	even	3		140.2.o.a.31.9	✓	32
7.5	odd	6		980.2.g.a.391.5		32
7.6	odd	2		140.2.o.a.131.13	yes	32
28.3	even	6	inner	980.2.o.f.31.13		32
28.11	odd	6		140.2.o.a.31.13	yes	32
28.19	even	6		980.2.g.a.391.8		32
28.23	odd	6		980.2.g.a.391.7		32
28.27	even	2		140.2.o.a.131.9	yes	32
35.4	even	6		700.2.p.c.451.8		32
35.13	even	4		700.2.t.c.299.6		32
35.18	odd	12		700.2.t.d.199.16		32
35.27	even	4		700.2.t.d.299.11		32
35.32	odd	12		700.2.t.c.199.1		32
35.34	odd	2		700.2.p.c.551.4		32
140.27	odd	4		700.2.t.d.299.16		32
140.39	odd	6		700.2.p.c.451.4		32
140.67	even	12		700.2.t.c.199.6		32
140.83	odd	4		700.2.t.c.299.1		32
140.123	even	12		700.2.t.d.199.11		32
140.139	even	2		700.2.p.c.551.8		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
140.2.o.a.31.9	✓	32	7.4	even	3
140.2.o.a.31.13	yes	32	28.11	odd	6
140.2.o.a.131.9	yes	32	28.27	even	2
140.2.o.a.131.13	yes	32	7.6	odd	2
700.2.p.c.451.4		32	140.39	odd	6
700.2.p.c.451.8		32	35.4	even	6
700.2.p.c.551.4		32	35.34	odd	2
700.2.p.c.551.8		32	140.139	even	2
700.2.t.c.199.1		32	35.32	odd	12
700.2.t.c.199.6		32	140.67	even	12
700.2.t.c.299.1		32	140.83	odd	4
700.2.t.c.299.6		32	35.13	even	4
700.2.t.d.199.11		32	140.123	even	12
700.2.t.d.199.16		32	35.18	odd	12
700.2.t.d.299.11		32	35.27	even	4
700.2.t.d.299.16		32	140.27	odd	4
980.2.g.a.391.5		32	7.5	odd	6
980.2.g.a.391.6		32	7.2	even	3
980.2.g.a.391.7		32	28.23	odd	6
980.2.g.a.391.8		32	28.19	even	6
980.2.o.f.31.9		32	7.3	odd	6	inner
980.2.o.f.31.13		32	28.3	even	6	inner
980.2.o.f.411.9		32	4.3	odd	2	inner
980.2.o.f.411.13		32	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 980 = 2^{2} \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	980.o (of order \(6\), degree \(2\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.05472 - 0.942109i) q^{2} +(-0.450639 - 0.780530i) q^{3} +(0.224860 - 1.98732i) q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.21064 - 0.398687i) q^{6} +(-1.63511 - 2.30790i) q^{8} +(1.09385 - 1.89460i) q^{9} +(1.38447 - 0.288532i) q^{10} +(-3.24107 + 1.87123i) q^{11} +(-1.65249 + 0.720054i) q^{12} -2.41990i q^{13} -0.901278i q^{15} +(-3.89888 - 0.893735i) q^{16} +(0.505515 - 0.291859i) q^{17} +(-0.631220 - 3.02880i) q^{18} +(3.07977 - 5.33433i) q^{19} +(1.18839 - 1.60864i) q^{20} +(-1.65551 + 5.02706i) q^{22} +(-3.73439 - 2.15605i) q^{23} +(-1.06454 + 2.31628i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.27981 - 2.55232i) q^{26} -4.67556 q^{27} -0.435463 q^{29} +(-0.849103 - 0.950594i) q^{30} +(1.26933 + 2.19854i) q^{31} +(-4.95421 + 2.73053i) q^{32} +(2.92110 + 1.68650i) q^{33} +(0.258212 - 0.784080i) q^{34} +(-3.51922 - 2.59985i) q^{36} +(5.65039 - 9.78676i) q^{37} +(-1.77723 - 8.52769i) q^{38} +(-1.88881 + 1.09050i) q^{39} +(-0.262094 - 2.81626i) q^{40} -7.35068i q^{41} +5.80096i q^{43} +(2.98995 + 6.86180i) q^{44} +(1.89460 - 1.09385i) q^{45} +(-5.96996 + 1.24418i) q^{46} +(-5.78826 + 10.0256i) q^{47} +(1.05940 + 3.44594i) q^{48} +(1.34325 + 0.442358i) q^{50} +(-0.455610 - 0.263046i) q^{51} +(-4.80912 - 0.544138i) q^{52} +(1.55746 + 2.69759i) q^{53} +(-4.93139 + 4.40489i) q^{54} -3.74246 q^{55} -5.55147 q^{57} +(-0.459290 + 0.410254i) q^{58} +(1.73534 + 3.00569i) q^{59} +(-1.79113 - 0.202661i) q^{60} +(8.99597 + 5.19383i) q^{61} +(3.41004 + 1.12299i) q^{62} +(-2.65284 + 7.54735i) q^{64} +(1.20995 - 2.09570i) q^{65} +(4.66981 - 0.973217i) q^{66} +(8.52602 - 4.92250i) q^{67} +(-0.466348 - 1.07025i) q^{68} +3.88640i q^{69} -9.96771i q^{71} +(-6.16112 + 0.573383i) q^{72} +(-8.48612 + 4.89946i) q^{73} +(-3.26063 - 15.6456i) q^{74} +(0.450639 - 0.780530i) q^{75} +(-9.90849 - 7.31997i) q^{76} +(-0.964785 + 2.92964i) q^{78} +(-0.397549 - 0.229525i) q^{79} +(-2.92966 - 2.72344i) q^{80} +(-1.17456 - 2.03439i) q^{81} +(-6.92515 - 7.75290i) q^{82} +2.59747 q^{83} +0.583719 q^{85} +(5.46514 + 6.11837i) q^{86} +(0.196236 + 0.339892i) q^{87} +(9.61812 + 4.42040i) q^{88} +(8.55647 + 4.94008i) q^{89} +(0.967745 - 2.93862i) q^{90} +(-5.12447 + 6.93662i) q^{92} +(1.14402 - 1.98149i) q^{93} +(3.34020 + 16.0273i) q^{94} +(5.33433 - 3.07977i) q^{95} +(4.36382 + 2.63643i) q^{96} -4.54044i q^{97} +8.18738i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 2 q^{2} - 2 q^{4} - 4 q^{8} - 16 q^{9} + 30 q^{12} - 14 q^{16} - 8 q^{22} - 36 q^{24} + 16 q^{25} - 30 q^{26} - 40 q^{29} + 2 q^{32} + 60 q^{36} + 8 q^{37} + 60 q^{38} - 18 q^{44} - 12 q^{45} + 2 q^{46}+ \cdots + 60 q^{96}+O(q^{100}) \) 32 * q + 2 * q^2 - 2 * q^4 - 4 * q^8 - 16 * q^9 + 30 * q^12 - 14 * q^16 - 8 * q^22 - 36 * q^24 + 16 * q^25 - 30 * q^26 - 40 * q^29 + 2 * q^32 + 60 * q^36 + 8 * q^37 + 60 * q^38 - 18 * q^44 - 12 * q^45 + 2 * q^46 + 4 * q^50 + 36 * q^52 - 8 * q^53 - 12 * q^54 + 48 * q^57 + 2 * q^58 + 14 * q^60 - 24 * q^61 + 4 * q^64 + 4 * q^65 - 24 * q^66 - 60 * q^68 + 4 * q^72 + 72 * q^73 + 38 * q^74 + 120 * q^78 - 36 * q^81 - 42 * q^82 + 28 * q^86 + 4 * q^88 + 60 * q^89 - 4 * q^92 - 8 * q^93 - 18 * q^94 + 60 * q^96

Introduction

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