LMFDB - Embedded newform 598.2.k.c.547.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [598,2,Mod(27,598)] 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("598.27"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(598, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 4])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$598 = 2 \cdot 13 \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	598.k (of order $11$ , degree $10$ , minimal)

Newform invariants

comment:select newform

sage:traces = [40,4,2,-4,21] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$4.77505404087$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			547.1
Character	$\chi$	$=$	598.547
Dual form			598.2.k.c.469.1

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(-1.60589 + 1.85330i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.285854 + 1.98816i) q^{5} +(-2.06298 + 1.32580i) q^{6} +(1.46100 + 3.19915i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.428882 - 2.98294i) q^{9} +(-0.834403 + 1.82709i) q^{10} +(6.25111 - 1.83549i) q^{11} +(-2.35293 + 0.690884i) q^{12} +(-0.415415 + 0.909632i) q^{13} +(0.500518 + 3.48118i) q^{14} +(-3.22560 - 3.72254i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-1.05795 + 0.679905i) q^{17} +(0.428882 - 2.98294i) q^{18} +(-4.82235 - 3.09913i) q^{19} +(-1.31535 + 1.51800i) q^{20} +(-8.27521 - 2.42982i) q^{21} +6.51501 q^{22} +(-4.75669 + 0.611469i) q^{23} -2.45227 q^{24} +(0.926411 + 0.272019i) q^{25} +(-0.654861 + 0.755750i) q^{26} +(0.0280884 + 0.0180513i) q^{27} +(-0.500518 + 3.48118i) q^{28} +(0.117516 - 0.0755232i) q^{29} +(-2.04618 - 4.48051i) q^{30} +(-0.716259 - 0.826607i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-6.63690 + 14.5328i) q^{33} +(-1.20665 + 0.354304i) q^{34} +(-6.77805 + 1.99022i) q^{35} +(1.25190 - 2.74128i) q^{36} +(0.537936 + 3.74143i) q^{37} +(-3.75388 - 4.33221i) q^{38} +(-1.01871 - 2.23066i) q^{39} +(-1.68974 + 1.08593i) q^{40} +(1.32882 - 9.24211i) q^{41} +(-7.25545 - 4.66279i) q^{42} +(6.49062 - 7.49057i) q^{43} +(6.25111 + 1.83549i) q^{44} +6.05315 q^{45} +(-4.73628 - 0.753415i) q^{46} +5.80619 q^{47} +(-2.35293 - 0.690884i) q^{48} +(-3.51603 + 4.05771i) q^{49} +(0.812249 + 0.522001i) q^{50} +(0.438892 - 3.05256i) q^{51} +(-0.841254 + 0.540641i) q^{52} +(3.32280 + 7.27592i) q^{53} +(0.0218650 + 0.0252336i) q^{54} +(1.86234 + 12.9529i) q^{55} +(-1.46100 + 3.19915i) q^{56} +(13.4878 - 3.96038i) q^{57} +(0.134034 - 0.0393558i) q^{58} +(1.83871 - 4.02621i) q^{59} +(-0.700990 - 4.87549i) q^{60} +(5.65377 + 6.52479i) q^{61} +(-0.454363 - 0.994917i) q^{62} +(8.91629 - 5.73015i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-1.68974 - 1.08593i) q^{65} +(-10.4624 + 12.0743i) q^{66} +(-6.02580 - 1.76934i) q^{67} -1.25759 q^{68} +(6.50550 - 9.79753i) q^{69} -7.06420 q^{70} +(-6.22808 - 1.82873i) q^{71} +(1.97350 - 2.27754i) q^{72} +(-3.64239 - 2.34082i) q^{73} +(-0.537936 + 3.74143i) q^{74} +(-1.99185 + 1.28008i) q^{75} +(-2.38130 - 5.21431i) q^{76} +(15.0049 + 17.3166i) q^{77} +(-0.348994 - 2.42731i) q^{78} +(3.07310 - 6.72915i) q^{79} +(-1.92724 + 0.565888i) q^{80} +(8.59607 - 2.52403i) q^{81} +(3.87879 - 8.49337i) q^{82} +(1.64445 + 11.4374i) q^{83} +(-5.64789 - 6.51801i) q^{84} +(-1.04934 - 2.29773i) q^{85} +(8.33804 - 5.35853i) q^{86} +(-0.0487517 + 0.339075i) q^{87} +(5.48078 + 3.52228i) q^{88} +(-1.44774 + 1.67079i) q^{89} +(5.80796 + 1.70537i) q^{90} -3.51698 q^{91} +(-4.33217 - 2.05726i) q^{92} +2.68219 q^{93} +(5.57099 + 1.63579i) q^{94} +(7.54005 - 8.70168i) q^{95} +(-2.06298 - 1.32580i) q^{96} +(1.38746 - 9.64996i) q^{97} +(-4.51679 + 2.90277i) q^{98} +(-8.15615 - 17.8595i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 21 q^{5} - 2 q^{6} + 6 q^{7} + 4 q^{8} - 18 q^{9} + q^{10} + 17 q^{11} + 2 q^{12} + 4 q^{13} + 5 q^{14} - 19 q^{15} - 4 q^{16} + 5 q^{17} + 18 q^{18} - q^{19} + 10 q^{20}+ \cdots - 18 q^{99}+O(q^{100})$ 40 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 21 * q^5 - 2 * q^6 + 6 * q^7 + 4 * q^8 - 18 * q^9 + q^10 + 17 * q^11 + 2 * q^12 + 4 * q^13 + 5 * q^14 - 19 * q^15 - 4 * q^16 + 5 * q^17 + 18 * q^18 - q^19 + 10 * q^20 - 58 * q^21 + 60 * q^22 + 24 * q^23 - 2 * q^24 + 17 * q^25 - 4 * q^26 + 20 * q^27 - 5 * q^28 - 68 * q^29 - 3 * q^30 + 8 * q^31 + 4 * q^32 + 2 * q^33 + 6 * q^34 + 52 * q^35 - 18 * q^36 - 10 * q^38 + 9 * q^39 + 12 * q^40 + 26 * q^41 - 19 * q^42 - 37 * q^43 + 17 * q^44 - 110 * q^45 - 2 * q^46 - 50 * q^47 + 2 * q^48 - 34 * q^49 + 38 * q^50 + 60 * q^51 + 4 * q^52 + 31 * q^53 - 53 * q^54 + 48 * q^55 - 6 * q^56 + 6 * q^57 - 31 * q^58 - 15 * q^59 - 30 * q^60 - 33 * q^61 + 14 * q^62 + 34 * q^63 - 4 * q^64 + 12 * q^65 - 35 * q^66 - 48 * q^67 + 60 * q^68 - 25 * q^69 - 8 * q^70 - 52 * q^71 - 15 * q^72 + 37 * q^73 - 135 * q^75 + 21 * q^76 - 123 * q^77 + 2 * q^78 + 51 * q^79 - 12 * q^80 + 114 * q^81 - 48 * q^82 + 47 * q^83 - 25 * q^84 + 84 * q^85 + 48 * q^86 - 31 * q^87 - 6 * q^88 - 74 * q^89 + 66 * q^90 + 16 * q^91 + 13 * q^92 + 198 * q^93 + 17 * q^94 - 27 * q^95 - 2 * q^96 + 71 * q^97 - 87 * q^98 - 18 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/598\mathbb{Z}\right)^\times$ .

$n$	$93$	$235$
$\chi(n)$	$1$	$e\left(\frac{6}{11}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	−1.60589	+	1.85330i	−0.927163	+	1.07000i	0.0702074	+	0.997532i	$0.477634\pi$
$3$	−1.60589	+	1.85330i	−0.927163	+	1.07000i	−0.997371	+	0.0724709i	$0.976912\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	−0.285854	+	1.98816i	−0.127838	+	0.889131i	0.820450	+	0.571718i	$0.193723\pi$
$5$	−0.285854	+	1.98816i	−0.127838	+	0.889131i	−0.948288	+	0.317412i	$0.897186\pi$
$6$	−2.06298	+	1.32580i	−0.842207	+	0.541254i
$7$	1.46100	+	3.19915i	0.552208	+	1.20917i	0.955743	+	0.294203i	$0.0950540\pi$
$7$	1.46100	+	3.19915i	0.552208	+	1.20917i	−0.403535	+	0.914964i	$0.632219\pi$
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	−0.428882	−	2.98294i	−0.142961	−	0.994314i
$10$	−0.834403	+	1.82709i	−0.263861	+	0.577776i
$11$	6.25111	−	1.83549i	1.88478	−	0.553421i	0.889432	−	0.457067i	$-0.151100\pi$
$11$	6.25111	−	1.83549i	1.88478	−	0.553421i	0.995347	−	0.0963544i	$-0.0307182\pi$
$12$	−2.35293	+	0.690884i	−0.679233	+	0.199441i
$13$	−0.415415	+	0.909632i	−0.115215	+	0.252287i
$13$	−0.415415	+	0.909632i	−0.115215	+	0.252287i
$14$	0.500518	+	3.48118i	0.133769	+	0.930384i
$15$	−3.22560	−	3.72254i	−0.832846	−	0.961156i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−1.05795	+	0.679905i	−0.256591	+	0.164901i	−0.662612	−	0.748963i	$-0.730552\pi$
$17$	−1.05795	+	0.679905i	−0.256591	+	0.164901i	0.406021	+	0.913864i	$0.366916\pi$
$18$	0.428882	−	2.98294i	0.101089	−	0.703086i
$19$	−4.82235	−	3.09913i	−1.10632	−	0.710990i	−0.145833	−	0.989309i	$-0.546586\pi$
$19$	−4.82235	−	3.09913i	−1.10632	−	0.710990i	−0.960489	+	0.278319i	$0.910223\pi$
$20$	−1.31535	+	1.51800i	−0.294122	+	0.339435i
$21$	−8.27521	−	2.42982i	−1.80580	−	0.530230i
$22$	6.51501			1.38900
$23$	−4.75669	+	0.611469i	−0.991839	+	0.127500i
$23$	−4.75669	+	0.611469i	−0.991839	+	0.127500i
$24$	−2.45227			−0.500567
$25$	0.926411	+	0.272019i	0.185282	+	0.0544038i
$26$	−0.654861	+	0.755750i	−0.128429	+	0.148215i
$27$	0.0280884	+	0.0180513i	0.00540562	+	0.00347398i
$28$	−0.500518	+	3.48118i	−0.0945890	+	0.657881i
$29$	0.117516	−	0.0755232i	0.0218223	−	0.0140243i	−0.529684	−	0.848195i	$-0.677690\pi$
$29$	0.117516	−	0.0755232i	0.0218223	−	0.0140243i	0.551506	+	0.834171i	$0.314053\pi$
$30$	−2.04618	−	4.48051i	−0.373580	−	0.818025i
$31$	−0.716259	−	0.826607i	−0.128644	−	0.148463i	0.687773	−	0.725926i	$-0.258588\pi$
$31$	−0.716259	−	0.826607i	−0.128644	−	0.148463i	−0.816417	+	0.577463i	$0.804043\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	−6.63690	+	14.5328i	−1.15534	+	2.52983i
$34$	−1.20665	+	0.354304i	−0.206939	+	0.0607627i
$35$	−6.77805	+	1.99022i	−1.14570	+	0.336408i
$36$	1.25190	−	2.74128i	0.208650	−	0.456880i
$37$	0.537936	+	3.74143i	0.0884362	+	0.615087i	0.985049	+	0.172273i	$0.0551110\pi$
$37$	0.537936	+	3.74143i	0.0884362	+	0.615087i	−0.896613	+	0.442815i	$0.853980\pi$
$38$	−3.75388	−	4.33221i	−0.608960	−	0.702777i
$39$	−1.01871	−	2.23066i	−0.163124	−	0.357192i
$40$	−1.68974	+	1.08593i	−0.267172	+	0.171701i
$41$	1.32882	−	9.24211i	0.207526	−	1.44338i	−0.573668	−	0.819088i	$-0.694480\pi$
$41$	1.32882	−	9.24211i	0.207526	−	1.44338i	0.781194	−	0.624288i	$-0.214611\pi$
$42$	−7.25545	−	4.66279i	−1.11954	−	0.719485i
$43$	6.49062	−	7.49057i	0.989810	−	1.14230i	−1.37297e−5	−	1.00000i	$-0.500004\pi$
$43$	6.49062	−	7.49057i	0.989810	−	1.14230i	0.989823	−	0.142301i	$-0.0454502\pi$
$44$	6.25111	+	1.83549i	0.942390	+	0.276711i
$45$	6.05315			0.902351
$46$	−4.73628	−	0.753415i	−0.698327	−	0.111085i
$47$	5.80619			0.846919			0.423460	−	0.905915i	$-0.360816\pi$
$47$	5.80619			0.846919			0.423460	+	0.905915i	$0.360816\pi$
$48$	−2.35293	−	0.690884i	−0.339617	−	0.0997205i
$49$	−3.51603	+	4.05771i	−0.502290	+	0.579673i
$50$	0.812249	+	0.522001i	0.114869	+	0.0738220i
$51$	0.438892	−	3.05256i	0.0614571	−	0.427444i
$52$	−0.841254	+	0.540641i	−0.116661	+	0.0749734i
$53$	3.32280	+	7.27592i	0.456422	+	0.999424i	0.988289	+	0.152596i	$0.0487634\pi$
$53$	3.32280	+	7.27592i	0.456422	+	0.999424i	−0.531867	+	0.846828i	$0.678509\pi$
$54$	0.0218650	+	0.0252336i	0.00297545	+	0.00343385i
$55$	1.86234	+	12.9529i	0.251118	+	1.74656i
$56$	−1.46100	+	3.19915i	−0.195235	+	0.427505i
$57$	13.4878	−	3.96038i	1.78650	−	0.524565i
$58$	0.134034	−	0.0393558i	0.0175995	−	0.00516767i
$59$	1.83871	−	4.02621i	0.239380	−	0.524168i	−0.751368	−	0.659883i	$-0.770606\pi$
$59$	1.83871	−	4.02621i	0.239380	−	0.524168i	0.990748	+	0.135715i	$0.0433331\pi$
$60$	−0.700990	−	4.87549i	−0.0904974	−	0.629423i
$61$	5.65377	+	6.52479i	0.723891	+	0.835414i	0.991769	−	0.128038i	$-0.0408681\pi$
$61$	5.65377	+	6.52479i	0.723891	+	0.835414i	−0.267879	+	0.963453i	$0.586323\pi$
$62$	−0.454363	−	0.994917i	−0.0577042	−	0.126355i
$63$	8.91629	−	5.73015i	1.12335	−	0.721931i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−1.68974	−	1.08593i	−0.209587	−	0.134693i
$66$	−10.4624	+	12.0743i	−1.28783	+	1.48624i
$67$	−6.02580	−	1.76934i	−0.736169	−	0.216159i	−0.107908	−	0.994161i	$-0.534415\pi$
$67$	−6.02580	−	1.76934i	−0.736169	−	0.216159i	−0.628262	+	0.778002i	$0.716233\pi$
$68$	−1.25759			−0.152505
$69$	6.50550	−	9.79753i	0.783171	−	1.17948i
$70$	−7.06420			−0.844334
$71$	−6.22808	−	1.82873i	−0.739137	−	0.217030i	−0.109573	−	0.993979i	$-0.534948\pi$
$71$	−6.22808	−	1.82873i	−0.739137	−	0.217030i	−0.629564	+	0.776948i	$0.716767\pi$
$72$	1.97350	−	2.27754i	0.232579	−	0.268410i
$73$	−3.64239	−	2.34082i	−0.426310	−	0.273973i	0.309844	−	0.950788i	$-0.399723\pi$
$73$	−3.64239	−	2.34082i	−0.426310	−	0.273973i	−0.736153	+	0.676815i	$0.763360\pi$
$74$	−0.537936	+	3.74143i	−0.0625338	+	0.434932i
$75$	−1.99185	+	1.28008i	−0.229999	+	0.147811i
$76$	−2.38130	−	5.21431i	−0.273154	−	0.598123i
$77$	15.0049	+	17.3166i	1.70997	+	1.97341i
$78$	−0.348994	−	2.42731i	−0.0395158	−	0.274838i
$79$	3.07310	−	6.72915i	0.345751	−	0.757088i	−0.654249	−	0.756279i	$-0.727015\pi$
$79$	3.07310	−	6.72915i	0.345751	−	0.757088i	1.00000		0.000809141i	$-0.000257557\pi$
$80$	−1.92724	+	0.565888i	−0.215472	+	0.0632682i
$81$	8.59607	−	2.52403i	0.955119	−	0.280448i
$82$	3.87879	−	8.49337i	0.428341	−	0.937936i
$83$	1.64445	+	11.4374i	0.180502	+	1.25542i	0.855579	+	0.517672i	$0.173201\pi$
$83$	1.64445	+	11.4374i	0.180502	+	1.25542i	−0.675077	+	0.737747i	$0.735890\pi$
$84$	−5.64789	−	6.51801i	−0.616235	−	0.711173i
$85$	−1.04934	−	2.29773i	−0.113817	−	0.249224i
$86$	8.33804	−	5.35853i	0.899114	−	0.577825i
$87$	−0.0487517	+	0.339075i	−0.00522673	+	0.0363527i
$88$	5.48078	+	3.52228i	0.584253	+	0.375476i
$89$	−1.44774	+	1.67079i	−0.153461	+	0.177103i	−0.827274	−	0.561798i	$-0.810110\pi$
$89$	−1.44774	+	1.67079i	−0.153461	+	0.177103i	0.673814	+	0.738901i	$0.264655\pi$
$90$	5.80796	+	1.70537i	0.612212	+	0.179762i
$91$	−3.51698			−0.368679
$92$	−4.33217	−	2.05726i	−0.451660	−	0.214484i
$93$	2.68219			0.278130
$94$	5.57099	+	1.63579i	0.574604	+	0.168719i
$95$	7.54005	−	8.70168i	0.773593	−	0.892773i
$96$	−2.06298	−	1.32580i	−0.210552	−	0.135313i
$97$	1.38746	−	9.64996i	0.140875	−	0.979805i	−0.789645	−	0.613564i	$-0.789735\pi$
$97$	1.38746	−	9.64996i	0.140875	−	0.979805i	0.930520	−	0.366241i	$-0.119356\pi$
$98$	−4.51679	+	2.90277i	−0.456265	+	0.293224i
$99$	−8.15615	−	17.8595i	−0.819724	−	1.79494i
$100$	0.632282	+	0.729693i	0.0632282	+	0.0729693i
$101$	1.88133	+	13.0849i	0.187199	+	1.30200i	0.839218	+	0.543795i	$0.183013\pi$
$101$	1.88133	+	13.0849i	0.187199	+	1.30200i	−0.652019	+	0.758202i	$0.726078\pi$
$102$	1.28112	−	2.80526i	0.126850	−	0.277762i
$103$	−16.0912	+	4.72480i	−1.58551	+	0.465549i	−0.951468	−	0.307747i	$-0.900425\pi$
$103$	−16.0912	+	4.72480i	−1.58551	+	0.465549i	−0.634045	+	0.773296i	$0.718607\pi$
$104$	−0.959493	+	0.281733i	−0.0940860	+	0.0276262i
$105$	7.19636	−	15.7578i	0.702293	−	1.53781i
$106$	1.13834	+	7.91733i	0.110565	+	0.768999i
$107$	−4.61849	−	5.33003i	−0.446487	−	0.515273i	0.487236	−	0.873270i	$-0.338005\pi$
$107$	−4.61849	−	5.33003i	−0.446487	−	0.515273i	−0.933723	+	0.357997i	$0.883460\pi$
$108$	0.0138702	+	0.0303715i	0.00133466	+	0.00292250i
$109$	−6.51046	+	4.18402i	−0.623589	+	0.400756i	−0.813931	−	0.580961i	$-0.802677\pi$
$109$	−6.51046	+	4.18402i	−0.623589	+	0.400756i	0.190342	+	0.981718i	$0.439040\pi$
$110$	−1.86234	+	12.9529i	−0.177567	+	1.23501i
$111$	−7.79786	−	5.01138i	−0.740140	−	0.475659i
$112$	−2.30313	+	2.65795i	−0.217625	+	0.251153i
$113$	10.7725	+	3.16311i	1.01340	+	0.297560i	0.745942	−	0.666011i	$-0.232000\pi$
$113$	10.7725	+	3.16311i	1.01340	+	0.297560i	0.267454	+	0.963571i	$0.413818\pi$
$114$	14.0572			1.31658
$115$	0.144022	−	9.63184i	0.0134301	−	0.898173i
$116$	0.139692			0.0129701
$117$	2.89154	+	0.849034i	0.267323	+	0.0784932i
$118$	2.89854	−	3.34510i	0.266833	−	0.307941i
$119$	−3.72079	−	2.39121i	−0.341085	−	0.219202i
$120$	0.700990	−	4.87549i	0.0639913	−	0.445069i
$121$	26.4535	−	17.0006i	2.40487	−	1.54551i
$122$	3.58650	+	7.85334i	0.324707	+	0.711008i
$123$	14.9945	+	17.3045i	1.35201	+	1.56030i
$124$	−0.155658	−	1.08262i	−0.0139785	−	0.0972226i
$125$	−4.97765	+	10.8995i	−0.445215	+	0.974884i
$126$	10.1695	−	2.98603i	0.905970	−	0.266017i
$127$	9.66258	−	2.83719i	0.857415	−	0.251760i	0.176661	−	0.984272i	$-0.443470\pi$
$127$	9.66258	−	2.83719i	0.857415	−	0.251760i	0.680754	+	0.732512i	$0.261652\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	3.45904	+	24.0581i	0.304551	+	2.11820i
$130$	−1.31535	−	1.51800i	−0.115364	−	0.133137i
$131$	5.51777	+	12.0822i	0.482090	+	1.05563i	0.981884	+	0.189485i	$0.0606818\pi$
$131$	5.51777	+	12.0822i	0.482090	+	1.05563i	−0.499794	+	0.866144i	$0.666591\pi$
$132$	−13.4403	+	8.63757i	−1.16983	+	0.751804i
$133$	2.86914	−	19.9553i	0.248786	−	1.73034i
$134$	−5.28324	−	3.39533i	−0.456402	−	0.293312i
$135$	−0.0439181	+	0.0506842i	−0.00377987	+	0.00436220i
$136$	−1.20665	−	0.354304i	−0.103469	−	0.0303813i
$137$	17.3069			1.47863			0.739316	−	0.673358i	$-0.235149\pi$
$137$	17.3069			1.47863			0.739316	+	0.673358i	$0.235149\pi$
$138$	9.00227	−	7.56785i	0.766324	−	0.644218i
$139$	−9.86472			−0.836714			−0.418357	−	0.908283i	$-0.637394\pi$
$139$	−9.86472			−0.836714			−0.418357	+	0.908283i	$0.637394\pi$
$140$	−6.77805	−	1.99022i	−0.572850	−	0.168204i
$141$	−9.32412	+	10.7606i	−0.785232	+	0.906206i
$142$	−5.46059	−	3.50931i	−0.458242	−	0.294495i
$143$	−0.927183	+	6.44870i	−0.0775349	+	0.539267i
$144$	2.53521	−	1.62928i	0.211268	−	0.135774i
$145$	0.116559	+	0.255230i	0.00967974	+	0.0211957i
$146$	−2.83536	−	3.27218i	−0.234656	−	0.270808i
$147$	−1.87379	−	13.0325i	−0.154548	−	1.07490i
$148$	−1.57023	+	3.43832i	−0.129072	+	0.282628i
$149$	11.8704	−	3.48546i	0.972459	−	0.285540i	0.243351	−	0.969938i	$-0.421753\pi$
$149$	11.8704	−	3.48546i	0.972459	−	0.285540i	0.729108	+	0.684399i	$0.239935\pi$
$150$	−2.27181	+	0.667063i	−0.185492	+	0.0544655i
$151$	0.137346	−	0.300745i	0.0111770	−	0.0244743i	−0.903961	−	0.427615i	$-0.859354\pi$
$151$	0.137346	−	0.300745i	0.0111770	−	0.0244743i	0.915138	+	0.403140i	$0.132081\pi$
$152$	−0.815796	−	5.67399i	−0.0661698	−	0.460221i
$153$	2.48185	+	2.86421i	0.200646	+	0.231558i
$154$	9.51846	+	20.8425i	0.767019	+	1.67954i
$155$	1.84817	−	1.18775i	0.148449	−	0.0954021i
$156$	0.348994	−	2.42731i	0.0279419	−	0.194340i
$157$	6.38199	+	4.10145i	0.509338	+	0.327332i	0.769942	−	0.638114i	$-0.220285\pi$
$157$	6.38199	+	4.10145i	0.509338	+	0.327332i	−0.260604	+	0.965446i	$0.583922\pi$
$158$	4.84444	−	5.59078i	0.385403	−	0.444778i
$159$	−18.8205	−	5.52620i	−1.49256	−	0.438256i
$160$	−2.00860			−0.158794
$161$	−8.90573	−	14.3240i	−0.701870	−	1.12889i
$162$	8.95897			0.703883
$163$	−1.11908	−	0.328592i	−0.0876531	−	0.0257373i	0.237612	−	0.971360i	$-0.423635\pi$
$163$	−1.11908	−	0.328592i	−0.0876531	−	0.0257373i	−0.325265	+	0.945623i	$0.605454\pi$
$164$	6.11453	−	7.05655i	0.477465	−	0.551024i
$165$	−26.9963	−	17.3494i	−2.10166	−	1.35065i
$166$	−1.64445	+	11.4374i	−0.127634	+	0.887716i
$167$	6.15141	−	3.95327i	0.476010	−	0.305913i	−0.280548	−	0.959840i	$-0.590516\pi$
$167$	6.15141	−	3.95327i	0.476010	−	0.305913i	0.756558	+	0.653927i	$0.226880\pi$
$168$	−3.58277	−	7.84518i	−0.276417	−	0.605269i
$169$	−0.654861	−	0.755750i	−0.0503739	−	0.0581346i
$170$	−0.359487	−	2.50029i	−0.0275714	−	0.191763i
$171$	−7.17632	+	15.7139i	−0.548787	+	1.20167i
$172$	9.50996	−	2.79238i	0.725128	−	0.212917i
$173$	−12.7742	+	3.75083i	−0.971201	+	0.285170i	−0.728588	−	0.684953i	$-0.759823\pi$
$173$	−12.7742	+	3.75083i	−0.971201	+	0.285170i	−0.242614	+	0.970123i	$0.578005\pi$
$174$	−0.142305	+	0.311606i	−0.0107882	+	0.0236228i
$175$	0.483261	+	3.36115i	0.0365311	+	0.254079i
$176$	4.26642	+	4.92372i	0.321594	+	0.371139i
$177$	4.50901	+	9.87335i	0.338918	+	0.742126i
$178$	−1.85982	+	1.19523i	−0.139399	+	0.0895864i
$179$	−2.59645	+	18.0587i	−0.194067	+	1.34977i	0.627037	+	0.778990i	$0.284268\pi$
$179$	−2.59645	+	18.0587i	−0.194067	+	1.34977i	−0.821104	+	0.570779i	$0.806641\pi$
$180$	5.09223	+	3.27258i	0.379553	+	0.243924i
$181$	8.51050	−	9.82164i	0.632580	−	0.730037i	−0.345464	−	0.938432i	$-0.612279\pi$
$181$	8.51050	−	9.82164i	0.632580	−	0.730037i	0.978045	+	0.208395i	$0.0668240\pi$
$182$	−3.37451	−	0.990847i	−0.250136	−	0.0734464i
$183$	−21.1717			−1.56506
$184$	−3.57709	−	3.19444i	−0.263706	−	0.235497i
$185$	−7.59232			−0.558198
$186$	2.57354	+	0.755659i	0.188701	+	0.0554076i
$187$	−5.36541	+	6.19202i	−0.392358	+	0.452805i
$188$	4.88447	+	3.13906i	0.356237	+	0.228940i
$189$	−0.0167117	+	0.116232i	−0.00121560	+	0.00845466i
$190$	9.68617	−	6.22492i	0.702709	−	0.451603i
$191$	−9.88644	−	21.6483i	−0.715358	−	1.56642i	−0.820298	−	0.571937i	$-0.806192\pi$
$191$	−9.88644	−	21.6483i	−0.715358	−	1.56642i	0.104940	−	0.994479i	$-0.466535\pi$
$192$	−1.60589	−	1.85330i	−0.115895	−	0.133750i
$193$	−0.767485	−	5.33798i	−0.0552448	−	0.384236i	−0.998620	−	0.0525095i	$-0.983278\pi$
$193$	−0.767485	−	5.33798i	−0.0552448	−	0.384236i	0.943376	−	0.331726i	$-0.107631\pi$
$194$	4.04996	−	8.86818i	0.290770	−	0.636698i
$195$	4.72610	−	1.38771i	0.338443	−	0.0993759i
$196$	−5.15164	+	1.51266i	−0.367974	+	0.108047i
$197$	−11.1695	+	24.4577i	−0.795791	+	1.74254i	−0.136517	+	0.990638i	$0.543591\pi$
$197$	−11.1695	+	24.4577i	−0.795791	+	1.74254i	−0.659274	+	0.751902i	$0.729136\pi$
$198$	−2.79417	−	19.4339i	−0.198573	−	1.38111i
$199$	−6.71554	−	7.75015i	−0.476052	−	0.549393i	0.466033	−	0.884767i	$-0.345683\pi$
$199$	−6.71554	−	7.75015i	−0.476052	−	0.549393i	−0.942085	+	0.335374i	$0.891137\pi$
$200$	0.401092	+	0.878270i	0.0283615	+	0.0621030i
$201$	12.9559	−	8.32626i	0.913839	−	0.587289i
$202$	−1.88133	+	13.0849i	−0.132370	+	0.920651i
$203$	0.413302	+	0.265613i	0.0290081	+	0.0186424i
$204$	2.01956	−	2.33069i	0.141397	−	0.163181i
$205$	17.9949	+	5.28378i	1.25682	+	0.369036i
$206$	−16.7705			−1.16846
$207$	3.86404	+	13.9267i	0.268569	+	0.967971i
$208$	−1.00000			−0.0693375
$209$	−35.8334	−	10.5216i	−2.47865	−	0.727797i
$210$	11.3444	−	13.0921i	0.782835	−	0.903440i
$211$	−11.0332	−	7.09062i	−0.759558	−	0.488138i	0.102634	−	0.994719i	$-0.467273\pi$
$211$	−11.0332	−	7.09062i	−0.759558	−	0.488138i	−0.862193	+	0.506581i	$0.830909\pi$
$212$	−1.13834	+	7.91733i	−0.0781815	+	0.543765i
$213$	13.3908	−	8.60576i	0.917524	−	0.589657i
$214$	−2.92977	−	6.41530i	−0.200275	−	0.438541i
$215$	13.0371	+	15.0456i	0.889120	+	1.02610i
$216$	0.00475172	+	0.0330489i	0.000323314	+	0.00224870i
$217$	1.59799	−	3.49910i	0.108478	−	0.237534i
$218$	−7.42552	+	2.18033i	−0.502919	+	0.147670i
$219$	10.1875	−	2.99133i	0.688410	−	0.202135i
$220$	−5.43614	+	11.9035i	−0.366505	+	0.802533i
$221$	−0.178974	−	1.24479i	−0.0120391	−	0.0837336i
$222$	−6.07012	−	7.00530i	−0.407400	−	0.470165i
$223$	1.27067	+	2.78238i	0.0850904	+	0.186322i	0.947394	−	0.320070i	$-0.103706\pi$
$223$	1.27067	+	2.78238i	0.0850904	+	0.186322i	−0.862304	+	0.506392i	$0.830979\pi$
$224$	−2.95867	+	1.90142i	−0.197684	+	0.127044i
$225$	0.414095	−	2.88009i	0.0276063	−	0.192006i
$226$	9.44503	+	6.06995i	0.628274	+	0.403767i
$227$	13.6187	−	15.7169i	0.903908	−	1.04317i	−0.0949543	−	0.995482i	$-0.530271\pi$
$227$	13.6187	−	15.7169i	0.903908	−	1.04317i	0.998862	−	0.0476840i	$-0.0151840\pi$
$228$	13.4878	+	3.96038i	0.893251	+	0.262282i
$229$	−14.2953			−0.944662			−0.472331	−	0.881421i	$-0.656587\pi$
$229$	−14.2953			−0.944662			−0.472331	+	0.881421i	$0.656587\pi$
$230$	2.85179	−	9.20110i	0.188041	−	0.606703i
$231$	−56.1891			−3.69697
$232$	0.134034	+	0.0393558i	0.00879973	+	0.00258383i
$233$	−13.3432	+	15.3989i	−0.874142	+	1.00881i	0.125717	+	0.992066i	$0.459877\pi$
$233$	−13.3432	+	15.3989i	−0.874142	+	1.00881i	−0.999860	+	0.0167480i	$0.994669\pi$
$234$	2.53521	+	1.62928i	0.165732	+	0.106510i
$235$	−1.65972	+	11.5436i	−0.108268	+	0.753022i
$236$	3.72356	−	2.39298i	0.242383	−	0.155770i
$237$	7.53606	+	16.5017i	0.489520	+	1.07190i
$238$	−2.89639	−	3.34262i	−0.187745	−	0.216670i
$239$	0.780825	+	5.43076i	0.0505074	+	0.351286i	0.999367	+	0.0355869i	$0.0113301\pi$
$239$	0.780825	+	5.43076i	0.0505074	+	0.351286i	−0.948859	+	0.315699i	$0.897761\pi$
$240$	2.04618	−	4.48051i	0.132080	−	0.289216i
$241$	18.0448	−	5.29843i	1.16237	−	0.341302i	0.357016	−	0.934098i	$-0.383794\pi$
$241$	18.0448	−	5.29843i	1.16237	−	0.341302i	0.805352	+	0.592796i	$0.201976\pi$
$242$	30.1716	−	8.85918i	1.93950	−	0.569490i
$243$	−9.16819	+	20.0755i	−0.588140	+	1.28785i
$244$	1.22868	+	8.54566i	0.0786582	+	0.547080i
$245$	−7.06230	−	8.15033i	−0.451194	−	0.520705i
$246$	9.51184	+	20.8280i	0.606453	+	1.32795i
$247$	4.82235	−	3.09913i	0.306839	−	0.197193i
$248$	0.155658	−	1.08262i	0.00988429	−	0.0687468i
$249$	−23.8378	−	15.3196i	−1.51066	−	0.970841i
$250$	−7.84677	+	9.05566i	−0.496273	+	0.572730i
$251$	6.65243	+	1.95333i	0.419898	+	0.123293i	0.484854	−	0.874595i	$-0.338873\pi$
$251$	6.65243	+	1.95333i	0.419898	+	0.123293i	−0.0649565	+	0.997888i	$0.520691\pi$
$252$	10.5988			0.667663
$253$	−28.6122	+	12.5532i	−1.79884	+	0.789214i
$254$	10.0705			0.631880
$255$	5.94350	+	1.74517i	0.372197	+	0.109287i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	15.0480	+	9.67075i	0.938667	+	0.603245i	0.918017	−	0.396542i	$-0.129790\pi$
$257$	15.0480	+	9.67075i	0.938667	+	0.603245i	0.0206508	+	0.999787i	$0.493426\pi$
$258$	−3.45904	+	24.0581i	−0.215350	+	1.49779i
$259$	−11.1835	+	7.18719i	−0.694908	+	0.446590i
$260$	−0.834403	−	1.82709i	−0.0517475	−	0.113311i
$261$	−0.275682	−	0.318154i	−0.0170643	−	0.0196932i
$262$	1.89030	+	13.1473i	0.116783	+	0.812246i
$263$	10.6844	−	23.3956i	0.658829	−	1.44263i	−0.224780	−	0.974410i	$-0.572166\pi$
$263$	10.6844	−	23.3956i	0.658829	−	1.44263i	0.883609	−	0.468225i	$-0.155106\pi$
$264$	−15.3294	+	4.50111i	−0.943458	+	0.277024i
$265$	−15.4155	+	4.52640i	−0.946966	+	0.278054i
$266$	8.37497	−	18.3386i	0.513502	−	1.12441i
$267$	−0.771545	−	5.36621i	−0.0472178	−	0.328407i
$268$	−4.11265	−	4.74626i	−0.251220	−	0.289924i
$269$	−6.99844	−	15.3245i	−0.426703	−	0.934349i	−0.993850	−	0.110732i	$-0.964680\pi$
$269$	−6.99844	−	15.3245i	−0.426703	−	0.934349i	0.567148	−	0.823616i	$-0.308047\pi$
$270$	−0.0564185	+	0.0362579i	−0.00343352	+	0.00220659i
$271$	1.61476	−	11.2309i	0.0980894	−	0.682227i	−0.880142	−	0.474710i	$-0.842553\pi$
$271$	1.61476	−	11.2309i	0.0980894	−	0.682227i	0.978232	−	0.207517i	$-0.0665381\pi$
$272$	−1.05795	−	0.679905i	−0.0641478	−	0.0412253i
$273$	5.64789	−	6.51801i	0.341826	−	0.394488i
$274$	16.6059	+	4.87593i	1.00320	+	0.294566i
$275$	6.29038			0.379324
$276$	10.7697	−	4.72506i	0.648261	−	0.284415i
$277$	−8.63208			−0.518651			−0.259326	−	0.965790i	$-0.583500\pi$
$277$	−8.63208			−0.518651			−0.259326	+	0.965790i	$0.583500\pi$
$278$	−9.46513	−	2.77921i	−0.567681	−	0.166686i
$279$	−2.15853	+	2.49108i	−0.129228	+	0.149137i
$280$	−5.94279	−	3.81920i	−0.355149	−	0.228241i
$281$	−0.554121	+	3.85400i	−0.0330561	+	0.229910i	−0.999652	−	0.0263968i	$-0.991597\pi$
$281$	−0.554121	+	3.85400i	−0.0330561	+	0.229910i	0.966595	+	0.256307i	$0.0825058\pi$
$282$	−11.9780	+	7.69782i	−0.713282	+	0.458398i
$283$	−11.1974	−	24.5189i	−0.665618	−	1.45750i	−0.877193	−	0.480138i	$-0.840587\pi$
$283$	−11.1974	−	24.5189i	−0.665618	−	1.45750i	0.211575	−	0.977362i	$-0.432141\pi$
$284$	−4.25071	−	4.90558i	−0.252233	−	0.291093i
$285$	4.01831	+	27.9479i	0.238024	+	1.65549i
$286$	−2.70643	+	5.92626i	−0.160035	+	0.350427i
$287$	31.5083	−	9.25169i	1.85988	−	0.546110i
$288$	2.89154	−	0.849034i	0.170386	−	0.0500298i
$289$	−6.40506	+	14.0251i	−0.376768	+	0.825008i
$290$	0.0399315	+	0.277730i	0.00234486	+	0.0163088i
$291$	15.6562	+	18.0682i	0.917781	+	1.05918i
$292$	−1.79863	−	3.93845i	−0.105257	−	0.230480i
$293$	−18.0331	+	11.5892i	−1.05351	+	0.677048i	−0.948291	−	0.317401i	$-0.897190\pi$
$293$	−18.0331	+	11.5892i	−1.05351	+	0.677048i	−0.105216	+	0.994449i	$0.533553\pi$
$294$	1.87379	−	13.0325i	0.109282	−	0.760071i
$295$	7.47914	+	4.80655i	0.435452	+	0.279848i
$296$	−2.47531	+	2.85666i	−0.143875	+	0.166040i
$297$	0.208717	+	0.0612848i	0.0121110	+	0.00355611i
$298$	12.3715			0.716662
$299$	1.41979	−	4.58085i	0.0821085	−	0.264917i
$300$	−2.36772			−0.136700
$301$	33.4463	+	9.82072i	1.92781	+	0.566057i
$302$	0.216512	−	0.249868i	0.0124588	−	0.0143783i
$303$	−27.2715	−	17.5263i	−1.56671	−	1.00686i
$304$	0.815796	−	5.67399i	0.0467891	−	0.325425i
$305$	−14.5885	+	9.37543i	−0.835333	+	0.536836i
$306$	1.57438	+	3.44741i	0.0900012	+	0.197075i
$307$	12.4828	+	14.4059i	0.712429	+	0.822187i	0.990375	−	0.138410i	$-0.0441991\pi$
$307$	12.4828	+	14.4059i	0.712429	+	0.822187i	−0.277946	+	0.960597i	$0.589654\pi$
$308$	3.26088	+	22.6799i	0.185806	+	1.29231i
$309$	17.0843	−	37.4094i	0.971891	−	2.12814i
$310$	2.10793	−	0.618945i	0.119723	−	0.0351537i
$311$	26.8079	−	7.87151i	1.52014	−	0.446353i	0.588122	−	0.808772i	$-0.299867\pi$
$311$	26.8079	−	7.87151i	1.52014	−	0.446353i	0.932015	+	0.362419i	$0.118049\pi$
$312$	1.01871	−	2.23066i	0.0576730	−	0.126286i
$313$	−2.14460	−	14.9160i	−0.121220	−	0.843102i	−0.956177	−	0.292788i	$-0.905417\pi$
$313$	−2.14460	−	14.9160i	−0.121220	−	0.843102i	0.834958	−	0.550314i	$-0.185492\pi$
$314$	4.96796	+	5.73333i	0.280358	+	0.323551i
$315$	8.84368	+	19.3650i	0.498285	+	1.09109i
$316$	6.22331	−	3.99948i	0.350088	−	0.224988i
$317$	−1.34807	+	9.37603i	−0.0757151	+	0.526610i	0.916300	+	0.400492i	$0.131161\pi$
$317$	−1.34807	+	9.37603i	−0.0757151	+	0.526610i	−0.992015	+	0.126118i	$0.959748\pi$
$318$	−16.5012	−	10.6047i	−0.925344	−	0.594682i
$319$	0.595985	−	0.687804i	0.0333688	−	0.0385096i
$320$	−1.92724	−	0.565888i	−0.107736	−	0.0316341i
$321$	17.2950			0.965310
$322$	−4.50944	−	16.2528i	−0.251301	−	0.905735i
$323$	7.20893			0.401115
$324$	8.59607	+	2.52403i	0.477559	+	0.140224i
$325$	−0.632282	+	0.729693i	−0.0350727	+	0.0404761i
$326$	−0.981174	−	0.630562i	−0.0543422	−	0.0349236i
$327$	2.70087	−	18.7849i	0.149358	−	1.03881i
$328$	7.85491	−	5.04805i	0.433715	−	0.278732i
$329$	8.48286	+	18.5749i	0.467675	+	1.02407i
$330$	−21.0148	−	24.2524i	−1.15683	−	1.33505i
$331$	−2.27445	−	15.8192i	−0.125015	−	0.869499i	−0.951743	−	0.306897i	$-0.900709\pi$
$331$	−2.27445	−	15.8192i	−0.125015	−	0.869499i	0.826728	−	0.562602i	$-0.190200\pi$
$332$	−4.80013	+	10.5108i	−0.263441	+	0.576856i
$333$	10.9298	−	3.20927i	0.598947	−	0.175867i
$334$	7.01600	−	2.06008i	0.383898	−	0.112723i
$335$	5.24021	−	11.4745i	0.286303	−	0.626917i
$336$	−1.22740	−	8.53678i	−0.0669604	−	0.465720i
$337$	−12.5594	−	14.4944i	−0.684156	−	0.789558i	0.302365	−	0.953192i	$-0.402224\pi$
$337$	−12.5594	−	14.4944i	−0.684156	−	0.789558i	−0.986521	+	0.163634i	$0.947678\pi$
$338$	−0.415415	−	0.909632i	−0.0225956	−	0.0494775i
$339$	−23.1617	+	14.8852i	−1.25797	+	0.808450i
$340$	0.359487	−	2.50029i	0.0194959	−	0.135597i
$341$	−5.99464	−	3.85252i	−0.324628	−	0.208626i
$342$	−11.3128	+	13.0556i	−0.611724	+	0.705967i
$343$	5.50342	+	1.61595i	0.297157	+	0.0872530i
$344$	9.91144			0.534389
$345$	17.6194	+	15.7346i	0.948596	+	0.847123i
$346$	−13.3134			−0.715735
$347$	1.93203	+	0.567296i	0.103717	+	0.0304541i	0.333179	−	0.942864i	$-0.391879\pi$
$347$	1.93203	+	0.567296i	0.103717	+	0.0304541i	−0.229462	+	0.973318i	$0.573697\pi$
$348$	−0.224331	+	0.258891i	−0.0120254	+	0.0138780i
$349$	9.70527	+	6.23720i	0.519511	+	0.333870i	0.773979	−	0.633212i	$-0.218264\pi$
$349$	9.70527	+	6.23720i	0.519511	+	0.333870i	−0.254467	+	0.967081i	$0.581900\pi$
$350$	−0.483261	+	3.36115i	−0.0258314	+	0.179661i
$351$	−0.0280884	+	0.0180513i	−0.00149925	+	0.000963509i
$352$	2.70643	+	5.92626i	0.144253	+	0.315871i
$353$	−9.35570	−	10.7971i	−0.497954	−	0.574669i	0.450020	−	0.893019i	$-0.351417\pi$
$353$	−9.35570	−	10.7971i	−0.497954	−	0.574669i	−0.947973	+	0.318350i	$0.896871\pi$
$354$	1.54472	+	10.7437i	0.0821008	+	0.571024i
$355$	5.41612	−	11.8597i	0.287458	−	0.629445i
$356$	−2.12122	+	0.622845i	−0.112424	+	0.0330107i
$357$	10.4068	−	3.05572i	0.550788	−	0.161726i
$358$	−7.57899	+	16.5957i	−0.400562	+	0.877108i
$359$	−3.40077	−	23.6528i	−0.179486	−	1.24835i	−0.857957	−	0.513722i	$-0.828266\pi$
$359$	−3.40077	−	23.6528i	−0.179486	−	1.24835i	0.678471	−	0.734627i	$-0.262643\pi$
$360$	3.96397	+	4.57467i	0.208920	+	0.241106i
$361$	5.75751	+	12.6072i	0.303027	+	0.663536i
$362$	10.9328	−	7.02611i	0.574617	−	0.369284i
$363$	−10.9742	+	76.3275i	−0.575998	+	4.00616i
$364$	−2.95867	−	1.90142i	−0.155076	−	0.0996615i
$365$	5.69511	−	6.57251i	0.298096	−	0.344021i
$366$	−20.3141	−	5.96477i	−1.06184	−	0.311784i
$367$	−32.4104			−1.69181			−0.845905	−	0.533334i	$-0.820939\pi$
$367$	−32.4104			−1.69181			−0.845905	+	0.533334i	$0.820939\pi$
$368$	−2.53221	−	4.07282i	−0.132001	−	0.212311i
$369$	−28.1386			−1.46484
$370$	−7.28478	−	2.13900i	−0.378718	−	0.111202i
$371$	−18.4222	+	21.2603i	−0.956431	+	1.10378i
$372$	2.25640	+	1.45010i	0.116989	+	0.0751842i
$373$	1.64882	−	11.4678i	0.0853729	−	0.593781i	−0.901561	−	0.432653i	$-0.857578\pi$
$373$	1.64882	−	11.4678i	0.0853729	−	0.593781i	0.986933	−	0.161128i	$-0.0515133\pi$
$374$	−6.89257	+	4.42959i	−0.356406	+	0.229048i
$375$	−12.2065	−	26.7286i	−0.630342	−	1.38026i
$376$	3.80224	+	4.38802i	0.196086	+	0.226295i
$377$	0.0198802	+	0.138270i	0.00102388	+	0.00712128i
$378$	−0.0487812	+	0.106816i	−0.00250903	+	0.00549402i
$379$	19.2986	−	5.66658i	0.991303	−	0.291073i	0.254421	−	0.967094i	$-0.418115\pi$
$379$	19.2986	−	5.66658i	0.991303	−	0.291073i	0.736883	+	0.676021i	$0.236297\pi$
$380$	11.0476	−	3.24386i	0.566729	−	0.166407i
$381$	−10.2589	+	22.4639i	−0.525580	+	1.15086i
$382$	−3.38694	−	23.5567i	−0.173291	−	1.20527i
$383$	1.75718	+	2.02790i	0.0897880	+	0.103621i	0.798866	−	0.601510i	$-0.205434\pi$
$383$	1.75718	+	2.02790i	0.0897880	+	0.103621i	−0.709078	+	0.705130i	$0.750888\pi$
$384$	−1.01871	−	2.23066i	−0.0519858	−	0.113833i
$385$	−38.7173	+	24.8821i	−1.97322	+	1.26811i
$386$	0.767485	−	5.33798i	0.0390640	−	0.271696i
$387$	−25.1276	−	16.1486i	−1.27731	−	0.820877i
$388$	6.38437	−	7.36795i	0.324117	−	0.374051i
$389$	3.66532	+	1.07624i	0.185839	+	0.0545673i	0.373328	−	0.927699i	$-0.378217\pi$
$389$	3.66532	+	1.07624i	0.185839	+	0.0545673i	−0.187489	+	0.982267i	$0.560035\pi$
$390$	4.92563			0.249419
$391$	4.61661	−	3.88100i	0.233472	−	0.196271i
$392$	−5.36912			−0.271182
$393$	−31.2529	−	9.17669i	−1.57650	−	0.462903i
$394$	−17.6076	+	20.3202i	−0.887056	+	1.02372i
$395$	12.5001	+	8.03335i	0.628950	+	0.404202i
$396$	2.79417	−	19.4339i	0.140412	−	0.976590i
$397$	14.7655	−	9.48924i	0.741062	−	0.476251i	−0.114844	−	0.993384i	$-0.536637\pi$
$397$	14.7655	−	9.48924i	0.741062	−	0.476251i	0.855906	+	0.517132i	$0.173000\pi$
$398$	−4.26004	−	9.32820i	−0.213537	−	0.467580i
$399$	32.3756	+	37.3634i	1.62081	+	1.87051i
$400$	0.137408	+	0.955694i	0.00687040	+	0.0477847i
$401$	−14.0136	+	30.6855i	−0.699807	+	1.53236i	0.140399	+	0.990095i	$0.455162\pi$
$401$	−14.0136	+	30.6855i	−0.699807	+	1.53236i	−0.840206	+	0.542268i	$0.817566\pi$
$402$	14.7769	−	4.33888i	0.737004	−	0.216404i
$403$	1.04945	−	0.308147i	0.0522770	−	0.0153499i
$404$	−5.49156	+	12.0248i	−0.273216	+	0.598259i
$405$	2.56095	+	17.8118i	0.127255	+	0.885077i
$406$	0.321729	+	0.371295i	0.0159671	+	0.0184271i
$407$	10.2301	+	22.4007i	0.507085	+	1.11036i
$408$	2.59438	−	1.66731i	0.128441	−	0.0825440i
$409$	1.27491	−	8.86718i	0.0630402	−	0.438454i	−0.933719	−	0.358007i	$-0.883456\pi$
$409$	1.27491	−	8.86718i	0.0630402	−	0.438454i	0.996759	−	0.0804466i	$-0.0256347\pi$
$410$	15.7774	+	10.1395i	0.779189	+	0.500755i
$411$	−27.7931	+	32.0750i	−1.37093	+	1.58214i
$412$	−16.0912	−	4.72480i	−0.792757	−	0.232774i
$413$	15.5668			0.765994
$414$	−0.216085	+	14.4512i	−0.0106200	+	0.710237i
$415$	−23.2094			−1.13931
$416$	−0.959493	−	0.281733i	−0.0470430	−	0.0138131i
$417$	15.8417	−	18.2823i	0.775771	−	0.895287i
$418$	−31.4176	−	20.1909i	−1.53669	−	0.987569i
$419$	0.697593	−	4.85187i	0.0340797	−	0.237029i	−0.965661	−	0.259806i	$-0.916341\pi$
$419$	0.697593	−	4.85187i	0.0340797	−	0.237029i	0.999741	+	0.0227764i	$0.00725058\pi$
$420$	14.5733	−	9.36569i	0.711104	−	0.456999i
$421$	0.0330492	+	0.0723676i	0.00161072	+	0.00352698i	0.910436	−	0.413651i	$-0.135747\pi$
$421$	0.0330492	+	0.0723676i	0.00161072	+	0.00352698i	−0.908825	+	0.417178i	$0.863019\pi$
$422$	−8.58864	−	9.91182i	−0.418088	−	0.482500i
$423$	−2.49017	−	17.3195i	−0.121076	−	0.842103i
$424$	−3.32280	+	7.27592i	−0.161369	+	0.353350i
$425$	−1.16505	+	0.342088i	−0.0565130	+	0.0165937i
$426$	15.2729	−	4.48454i	0.739976	−	0.217276i
$427$	−12.6136	+	27.6200i	−0.610417	+	1.33663i
$428$	−1.00369	−	6.98085i	−0.0485154	−	0.337432i
$429$	−10.4624	−	12.0743i	−0.505130	−	0.582951i
$430$	8.27014	+	18.1091i	0.398822	+	0.873297i
$431$	−10.3145	+	6.62872i	−0.496832	+	0.319294i	−0.764948	−	0.644092i	$-0.777235\pi$
$431$	−10.3145	+	6.62872i	−0.496832	+	0.319294i	0.268116	+	0.963387i	$0.413599\pi$
$432$	−0.00475172	+	0.0330489i	−0.000228617	+	0.00159007i
$433$	−27.3186	−	17.5566i	−1.31285	−	0.843716i	−0.318299	−	0.947991i	$-0.603111\pi$
$433$	−27.3186	−	17.5566i	−1.31285	−	0.843716i	−0.994549	+	0.104275i	$0.966748\pi$
$434$	2.51907	−	2.90716i	0.120919	−	0.139548i
$435$	−0.660199	−	0.193852i	−0.0316541	−	0.00929449i
$436$	−7.73900			−0.370631
$437$	24.8334	+	11.7929i	1.18794	+	0.564131i
$438$	10.6176			0.507330
$439$	−19.2406	−	5.64955i	−0.918303	−	0.269638i	−0.211771	−	0.977319i	$-0.567923\pi$
$439$	−19.2406	−	5.64955i	−0.918303	−	0.269638i	−0.706532	+	0.707681i	$0.749741\pi$
$440$	−8.56954	+	9.88978i	−0.408537	+	0.471477i
$441$	13.6119	+	8.74782i	0.648185	+	0.416563i
$442$	0.178974	−	1.24479i	0.00851291	−	0.0592086i
$443$	−29.3071	+	18.8346i	−1.39242	+	0.894857i	−0.999693	−	0.0247965i	$-0.992106\pi$
$443$	−29.3071	+	18.8346i	−1.39242	+	0.894857i	−0.392732	+	0.919653i	$0.628470\pi$
$444$	−3.85062	−	8.43169i	−0.182742	−	0.400150i
$445$	−2.90794	−	3.35594i	−0.137850	−	0.159087i
$446$	0.435312	+	3.02766i	0.0206126	+	0.143364i
$447$	−12.6030	+	27.5966i	−0.596100	+	1.30528i
$448$	−3.37451	+	0.990847i	−0.159431	+	0.0468131i
$449$	−13.7128	+	4.02644i	−0.647147	+	0.190020i	−0.588803	−	0.808277i	$-0.700400\pi$
$449$	−13.7128	+	4.02644i	−0.647147	+	0.190020i	−0.0583447	+	0.998296i	$0.518582\pi$
$450$	1.20874	−	2.64677i	0.0569805	−	0.124770i
$451$	−8.65724	−	60.2125i	−0.407654	−	2.83529i
$452$	7.35234	+	8.48505i	0.345825	+	0.399103i
$453$	0.336808	+	0.737506i	0.0158246	+	0.0346511i
$454$	17.4950	−	11.2434i	0.821083	−	0.527678i
$455$	1.00534	−	6.99230i	0.0471311	−	0.327804i
$456$	11.8257	+	7.59990i	0.553788	+	0.355898i
$457$	26.9852	−	31.1426i	1.26232	−	1.45679i	0.429668	−	0.902987i	$-0.358630\pi$
$457$	26.9852	−	31.1426i	1.26232	−	1.45679i	0.832647	−	0.553803i	$-0.186824\pi$
$458$	−13.7163	−	4.02746i	−0.640919	−	0.188191i
$459$	−0.0419894			−0.00195990
$460$	5.32852	−	8.02495i	0.248444	−	0.374165i
$461$	26.5492			1.23652			0.618261	−	0.785973i	$-0.287838\pi$
$461$	26.5492			1.23652			0.618261	+	0.785973i	$0.287838\pi$
$462$	−53.9131	−	15.8303i	−2.50826	−	0.736493i
$463$	−8.75257	+	10.1010i	−0.406767	+	0.469434i	−0.921760	−	0.387760i	$-0.873249\pi$
$463$	−8.75257	+	10.1010i	−0.406767	+	0.469434i	0.514994	+	0.857194i	$0.327794\pi$
$464$	0.117516	+	0.0755232i	0.00545556	+	0.00350608i
$465$	−0.766713	+	5.33261i	−0.0355555	+	0.247294i
$466$	−17.1411	+	11.0159i	−0.794045	+	0.510302i
$467$	13.8160	+	30.2528i	0.639328	+	1.39993i	0.900592	+	0.434666i	$0.143134\pi$
$467$	13.8160	+	30.2528i	0.639328	+	1.39993i	−0.261263	+	0.965268i	$0.584139\pi$
$468$	1.97350	+	2.27754i	0.0912250	+	0.105279i
$469$	−3.14335	−	21.8625i	−0.145146	−	1.00952i
$470$	−4.84470	+	10.6084i	−0.223469	+	0.489329i
$471$	−17.8500	+	5.24124i	−0.822486	+	0.241504i
$472$	4.24691	−	1.24700i	0.195480	−	0.0573980i
$473$	26.8247	−	58.7378i	1.23340	−	2.70077i
$474$	2.58174	+	17.9564i	0.118583	+	0.824764i
$475$	−3.62445	−	4.18284i	−0.166301	−	0.191922i
$476$	−1.83735	−	4.02323i	−0.0842146	−	0.184404i
$477$	20.2785	−	13.0322i	0.928491	−	0.596705i
$478$	−0.780825	+	5.43076i	−0.0357141	+	0.248397i
$479$	14.0006	+	8.99762i	0.639703	+	0.411112i	0.819891	−	0.572520i	$-0.194034\pi$
$479$	14.0006	+	8.99762i	0.639703	+	0.411112i	−0.180188	+	0.983632i	$0.557671\pi$
$480$	3.22560	−	3.72254i	0.147228	−	0.169910i
$481$	−3.62679	−	1.06492i	−0.165367	−	0.0485563i
$482$	18.8066			0.856617
$483$	40.8484	+	6.49787i	1.85867	+	0.295664i
$484$	31.4454			1.42933
$485$	18.7890	+	5.51696i	0.853166	+	0.250512i
$486$	−14.4527	+	16.6794i	−0.655590	+	0.756591i
$487$	−14.1977	−	9.12433i	−0.643361	−	0.413463i	0.177874	−	0.984053i	$-0.443078\pi$
$487$	−14.1977	−	9.12433i	−0.643361	−	0.413463i	−0.821235	+	0.570590i	$0.806714\pi$
$488$	−1.22868	+	8.54566i	−0.0556198	+	0.386844i
$489$	2.40610	−	1.54631i	0.108808	−	0.0699265i
$490$	−4.48001	−	9.80986i	−0.202386	−	0.443164i
$491$	−4.94776	−	5.71002i	−0.223289	−	0.257690i	0.633041	−	0.774118i	$-0.281807\pi$
$491$	−4.94776	−	5.71002i	−0.223289	−	0.257690i	−0.856330	+	0.516429i	$0.827261\pi$
$492$	3.25861	+	22.6641i	0.146909	+	1.02178i
$493$	−0.0729782	+	0.159800i	−0.00328677	+	0.00719703i
$494$	5.50013	−	1.61499i	0.247463	−	0.0726616i
$495$	37.8389	−	11.1105i	1.70073	−	0.499380i
$496$	0.454363	−	0.994917i	0.0204015	−	0.0446731i
$497$	−3.24887	−	22.5964i	−0.145732	−	1.01359i
$498$	−18.5561	−	21.4149i	−0.831521	−	0.959626i
$499$	13.6028	+	29.7860i	0.608946	+	1.33341i	0.923293	+	0.384097i	$0.125487\pi$
$499$	13.6028	+	29.7860i	0.608946	+	1.33341i	−0.314347	+	0.949308i	$0.601785\pi$
$500$	−10.0802	+	6.47815i	−0.450800	+	0.289712i
$501$	−2.55191	+	17.7489i	−0.114011	+	0.792964i
$502$	5.83264	+	3.74841i	0.260324	+	0.167300i
$503$	14.4171	−	16.6383i	0.642828	−	0.741863i	−0.337044	−	0.941489i	$-0.609427\pi$
$503$	14.4171	−	16.6383i	0.642828	−	0.741863i	0.979872	+	0.199626i	$0.0639726\pi$
$504$	10.1695	+	2.98603i	0.452985	+	0.133008i
$505$	−26.5526			−1.18158
$506$	−30.9899	+	3.98373i	−1.37767	+	0.177098i
$507$	2.45227			0.108909
$508$	9.66258	+	2.83719i	0.428708	+	0.125880i
$509$	−6.69686	+	7.72859i	−0.296833	+	0.342564i	−0.884501	−	0.466539i	$-0.845501\pi$
$509$	−6.69686	+	7.72859i	−0.296833	+	0.342564i	0.587668	+	0.809102i	$0.300046\pi$
$510$	5.21108	+	3.34896i	0.230750	+	0.148294i
$511$	2.16710	−	15.0725i	0.0958669	−	0.666769i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	−0.0795086	−	0.174100i	−0.00351039	−	0.00768669i
$514$	11.7139	+	13.5185i	0.516677	+	0.596277i
$515$	−4.79392	−	33.3424i	−0.211245	−	1.46924i
$516$	−10.0969	+	22.1091i	−0.444490	+	0.973298i
$517$	36.2951	−	10.6572i	1.59626	−	0.468703i
$518$	−12.7553	+	3.74531i	−0.560438	+	0.164559i
$519$	13.5625	−	29.6978i	0.595329	−	1.30359i
$520$	−0.285854	−	1.98816i	−0.0125355	−	0.0871864i
$521$	−15.8213	−	18.2588i	−0.693144	−	0.799931i	0.294665	−	0.955601i	$-0.404792\pi$
$521$	−15.8213	−	18.2588i	−0.693144	−	0.799931i	−0.987809	+	0.155669i	$0.950247\pi$
$522$	−0.174881	−	0.382935i	−0.00765432	−	0.0167606i
$523$	35.6782	−	22.9290i	1.56010	−	1.00261i	0.577605	−	0.816317i	$-0.303988\pi$
$523$	35.6782	−	22.9290i	1.56010	−	1.00261i	0.982493	−	0.186298i	$-0.0596488\pi$
$524$	−1.89030	+	13.1473i	−0.0825783	+	0.574345i
$525$	−7.00529	−	4.50203i	−0.305736	−	0.196485i
$526$	16.8429	−	19.4378i	0.734386	−	0.847527i
$527$	1.31978	+	0.387523i	0.0574906	+	0.0168808i
$528$	−15.9765			−0.695290
$529$	22.2522	−	5.81714i	0.967487	−	0.252919i
$530$	−16.0663			−0.697875
$531$	−12.7985	−	3.75799i	−0.555410	−	0.163083i
$532$	13.2023	−	15.2363i	0.572393	−	0.660576i
$533$	7.85491	+	5.04805i	0.340234	+	0.218655i
$534$	0.771545	−	5.36621i	0.0333880	−	0.232219i
$535$	11.9171	−	7.65868i	0.515223	−	0.331114i
$536$	−2.60889	−	5.71267i	−0.112687	−	0.246750i
$537$	−29.2985	−	33.8123i	−1.26432	−	1.45911i
$538$	−2.39756	−	16.6754i	−0.103366	−	0.718927i
$539$	−14.5312	+	31.8188i	−0.625902	+	1.37053i
$540$	−0.0643482	+	0.0188943i	−0.00276910	+	0.000813082i
$541$	−14.1551	+	4.15633i	−0.608577	+	0.178694i	−0.571478	−	0.820617i	$-0.693630\pi$
$541$	−14.1551	+	4.15633i	−0.608577	+	0.178694i	−0.0370989	+	0.999312i	$0.511812\pi$
$542$	4.71345	−	10.3210i	0.202460	−	0.443326i
$543$	4.53549	+	31.5450i	0.194636	+	1.35373i
$544$	−0.823547	−	0.950423i	−0.0353093	−	0.0407491i
$545$	−6.45745	−	14.1398i	−0.276607	−	0.605684i
$546$	7.25545	−	4.66279i	0.310504	−	0.199549i
$547$	−0.628893	+	4.37405i	−0.0268895	+	0.187021i	−0.998839	−	0.0481679i	$-0.984662\pi$
$547$	−0.628893	+	4.37405i	−0.0268895	+	0.187021i	0.971950	+	0.235189i	$0.0755708\pi$
$548$	14.5595	+	9.35684i	0.621952	+	0.399705i
$549$	17.0383	−	19.6632i	0.727176	−	0.839206i
$550$	6.03558	+	1.77221i	0.257358	+	0.0755671i
$551$	−0.800761			−0.0341136
$552$	11.6647	−	1.49948i	0.496482	−	0.0638223i
$553$	26.0174			1.10637
$554$	−8.28242	−	2.43194i	−0.351886	−	0.103323i
$555$	12.1925	−	14.0708i	0.517541	−	0.597274i
$556$	−8.29873	−	5.33327i	−0.351944	−	0.226181i
$557$	2.00330	−	13.9333i	0.0848825	−	0.590371i	−0.902340	−	0.431025i	$-0.858152\pi$
$557$	2.00330	−	13.9333i	0.0848825	−	0.590371i	0.987223	−	0.159346i	$-0.0509387\pi$
$558$	−2.77291	+	1.78204i	−0.117387	+	0.0754398i
$559$	4.11736	+	9.01577i	0.174146	+	0.381326i
$560$	−4.62607	−	5.33877i	−0.195487	−	0.225604i
$561$	−2.85938	−	19.8874i	−0.120723	−	0.839649i
$562$	−1.61747	+	3.54177i	−0.0682289	+	0.149400i
$563$	25.5265	−	7.49527i	1.07582	−	0.315888i	0.304612	−	0.952477i	$-0.401473\pi$
$563$	25.5265	−	7.49527i	1.07582	−	0.315888i	0.771203	+	0.636589i	$0.219655\pi$
$564$	−13.6616	+	4.01140i	−0.575256	+	0.168910i
$565$	−9.36812	+	20.5133i	−0.394120	+	0.863002i
$566$	−3.83607	−	26.6804i	−0.161242	−	1.12146i
$567$	20.6337	+	23.8125i	0.866533	+	1.00003i
$568$	−2.69646	−	5.90443i	−0.113141	−	0.247745i
$569$	29.2549	−	18.8010i	1.22643	−	0.788178i	0.243097	−	0.970002i	$-0.421837\pi$
$569$	29.2549	−	18.8010i	1.22643	−	0.788178i	0.983331	+	0.181824i	$0.0582002\pi$
$570$	−4.01831	+	27.9479i	−0.168308	+	1.17061i
$571$	−33.2938	−	21.3966i	−1.39330	−	0.895421i	−0.393587	−	0.919287i	$-0.628766\pi$
$571$	−33.2938	−	21.3966i	−1.39330	−	0.895421i	−0.999715	+	0.0238662i	$0.992402\pi$
$572$	−4.26642	+	4.92372i	−0.178388	+	0.205871i
$573$	55.9974	+	16.4423i	2.33932	+	0.686887i
$574$	32.8385			1.37065
$575$	−4.57298	−	0.727438i	−0.190707	−	0.0303363i
$576$	3.01362			0.125567
$577$	7.15970	+	2.10228i	0.298062	+	0.0875189i	0.427344	−	0.904089i	$-0.359449\pi$
$577$	7.15970	+	2.10228i	0.298062	+	0.0875189i	−0.129282	+	0.991608i	$0.541267\pi$
$578$	−10.0969	+	11.6525i	−0.419978	+	0.484680i
$579$	11.1254	+	7.14984i	0.462355	+	0.297137i
$580$	−0.0399315	+	0.277730i	−0.00165806	+	0.0115321i
$581$	−34.1875	+	21.9710i	−1.41834	+	0.911510i
$582$	9.93159	+	21.7471i	0.411678	+	0.901448i
$583$	34.1261	+	39.3836i	1.41336	+	1.63110i
$584$	−0.616183	−	4.28565i	−0.0254978	−	0.177341i
$585$	−2.51457	+	5.50614i	−0.103965	+	0.227651i
$586$	−20.5677	+	6.03923i	−0.849645	+	0.249478i
$587$	−7.29198	+	2.14112i	−0.300972	+	0.0883734i	−0.428732	−	0.903432i	$-0.641040\pi$
$587$	−7.29198	+	2.14112i	−0.300972	+	0.0883734i	0.127760	+	0.991805i	$0.459221\pi$
$588$	5.46957	−	11.9767i	0.225561	−	0.493911i
$589$	0.892284	+	6.20597i	0.0367659	+	0.255712i
$590$	5.82202	+	6.71897i	0.239689	+	0.276616i
$591$	−27.3905	−	59.9769i	−1.12670	−	2.46712i
$592$	−3.17986	+	2.04357i	−0.130691	+	0.0839902i
$593$	−2.47563	+	17.2184i	−0.101662	+	0.707076i	0.873700	+	0.486465i	$0.161714\pi$
$593$	−2.47563	+	17.2184i	−0.101662	+	0.707076i	−0.975362	+	0.220610i	$0.929195\pi$
$594$	0.182996	+	0.117605i	0.00750844	+	0.00482538i
$595$	5.81770	−	6.71398i	0.238502	−	0.275246i
$596$	11.8704	+	3.48546i	0.486229	+	0.142770i
$597$	25.1478			1.02923
$598$	2.65285	−	3.99529i	0.108483	−	0.163380i
$599$	37.2046			1.52014			0.760069	−	0.649842i	$-0.225165\pi$
$599$	37.2046			1.52014			0.760069	+	0.649842i	$0.225165\pi$
$600$	−2.27181	−	0.667063i	−0.0927462	−	0.0272327i
$601$	−29.0888	+	33.5702i	−1.18656	+	1.36936i	−0.273322	+	0.961923i	$0.588122\pi$
$601$	−29.0888	+	33.5702i	−1.18656	+	1.36936i	−0.913234	+	0.407436i	$0.866423\pi$
$602$	29.3247	+	18.8458i	1.19518	+	0.768099i
$603$	−2.69346	+	18.7335i	−0.109686	+	0.762885i
$604$	0.278137	−	0.178748i	0.0113172	−	0.00727315i
$605$	26.2381	+	57.4534i	1.06673	+	2.33581i
$606$	−21.2291	−	24.4996i	−0.862371	−	0.995230i
$607$	0.0629917	+	0.438117i	0.00255675	+	0.0177826i	0.991060	−	0.133418i	$-0.0425952\pi$
$607$	0.0629917	+	0.438117i	0.00255675	+	0.0177826i	−0.988503	+	0.151200i	$0.951686\pi$
$608$	2.38130	−	5.21431i	0.0965744	−	0.211468i
$609$	−1.15598	+	0.339427i	−0.0468427	+	0.0137543i
$610$	−16.6389	+	4.88562i	−0.673689	+	0.197813i
$611$	−2.41198	+	5.28149i	−0.0975781	+	0.213666i
$612$	0.539358	+	3.75132i	0.0218023	+	0.151638i
$613$	−13.1785	−	15.2088i	−0.532276	−	0.614280i	0.424385	−	0.905482i	$-0.360490\pi$
$613$	−13.1785	−	15.2088i	−0.532276	−	0.614280i	−0.956662	+	0.291202i	$0.905945\pi$
$614$	7.91852	+	17.3391i	0.319566	+	0.699751i
$615$	−38.6904	+	24.8648i	−1.56015	+	1.00264i
$616$	−3.26088	+	22.6799i	−0.131385	+	0.913800i
$617$	10.5871	+	6.80393i	0.426222	+	0.273916i	0.736117	−	0.676855i	$-0.236657\pi$
$617$	10.5871	+	6.80393i	0.426222	+	0.273916i	−0.309895	+	0.950771i	$0.600294\pi$
$618$	26.9317	−	31.0808i	1.08335	−	1.25025i
$619$	9.69205	+	2.84584i	0.389557	+	0.114384i	0.470645	−	0.882323i	$-0.344021\pi$
$619$	9.69205	+	2.84584i	0.389557	+	0.114384i	−0.0810882	+	0.996707i	$0.525840\pi$
$620$	2.19692			0.0882306
$621$	−0.144646	−	0.0686895i	−0.00580444	−	0.00275641i
$622$	27.9397			1.12028
$623$	−7.46027	−	2.19053i	−0.298889	−	0.0877618i
$624$	1.60589	−	1.85330i	0.0642872	−	0.0741914i
$625$	−16.1859	−	10.4020i	−0.647434	−	0.416081i
$626$	2.14460	−	14.9160i	0.0857153	−	0.596163i
$627$	77.0444	−	49.5135i	3.07686	−	1.97738i
$628$	3.15146	+	6.90073i	0.125757	+	0.275369i
$629$	−3.11293	−	3.59251i	−0.124121	−	0.143243i
$630$	3.02971	+	21.0721i	0.120707	+	0.839533i
$631$	−0.763669	+	1.67220i	−0.0304012	+	0.0665693i	−0.924223	−	0.381852i	$-0.875286\pi$
$631$	−0.763669	+	1.67220i	−0.0304012	+	0.0665693i	0.893822	+	0.448421i	$0.148014\pi$
$632$	7.09800	−	2.08416i	0.282343	−	0.0829035i
$633$	30.8592	−	9.06109i	1.22654	−	0.360146i
$634$	−3.93500	+	8.61644i	−0.156279	+	0.342202i
$635$	2.87869	+	20.0217i	0.114237	+	0.794539i
$636$	−12.8451	−	14.8241i	−0.509343	−	0.587813i
$637$	−2.23041	−	4.88393i	−0.0883722	−	0.193508i
$638$	0.765621	−	0.492034i	0.0303112	−	0.0194798i
$639$	−2.78388	+	19.3623i	−0.110129	+	0.765961i
$640$	−1.68974	−	1.08593i	−0.0667929	−	0.0429252i
$641$	−19.3102	+	22.2851i	−0.762706	+	0.880209i	−0.995735	−	0.0922603i	$-0.970591\pi$
$641$	−19.3102	+	22.2851i	−0.762706	+	0.880209i	0.233029	+	0.972470i	$0.425136\pi$
$642$	16.5944	+	4.87255i	0.654928	+	0.192304i
$643$	−22.7957			−0.898973			−0.449487	−	0.893287i	$-0.648393\pi$
$643$	−22.7957			−0.898973			−0.449487	+	0.893287i	$0.648393\pi$
$644$	0.252177	−	16.8649i	0.00993716	−	0.664572i
$645$	−48.8201			−1.92229
$646$	6.91692	+	2.03099i	0.272142	+	0.0799082i
$647$	11.3482	−	13.0965i	0.446143	−	0.514877i	−0.487479	−	0.873135i	$-0.662084\pi$
$647$	11.3482	−	13.0965i	0.446143	−	0.514877i	0.933623	+	0.358258i	$0.116629\pi$
$648$	7.53676	+	4.84358i	0.296072	+	0.190274i
$649$	4.10390	−	28.5432i	0.161092	−	1.12042i
$650$	−0.812249	+	0.522001i	−0.0318590	+	0.0204745i
$651$	3.91869	+	8.58073i	0.153585	+	0.336305i
$652$	−0.763780	−	0.881449i	−0.0299119	−	0.0345202i
$653$	−7.00185	−	48.6990i	−0.274004	−	1.90574i	−0.404934	−	0.914346i	$-0.632705\pi$
$653$	−7.00185	−	48.6990i	−0.274004	−	1.90574i	0.130930	−	0.991392i	$-0.458204\pi$
$654$	7.88379	−	17.2631i	0.308280	−	0.675040i
$655$	−25.5986	+	7.51644i	−1.00022	+	0.293692i
$656$	8.95893	−	2.63058i	0.349787	−	0.102707i
$657$	−5.42038	+	11.8690i	−0.211469	+	0.463053i
$658$	2.90610	+	20.2124i	0.113292	+	0.787960i
$659$	−11.0676	−	12.7727i	−0.431132	−	0.497552i	0.498064	−	0.867140i	$-0.334044\pi$
$659$	−11.0676	−	12.7727i	−0.431132	−	0.497552i	−0.929196	+	0.369588i	$0.879499\pi$
$660$	−13.3309	−	29.1906i	−0.518904	−	1.13624i
$661$	32.2238	−	20.7090i	1.25336	−	0.805485i	0.265999	−	0.963973i	$-0.414298\pi$
$661$	32.2238	−	20.7090i	1.25336	−	0.805485i	0.987361	+	0.158488i	$0.0506620\pi$
$662$	2.27445	−	15.8192i	0.0883990	−	0.614829i
$663$	2.59438	+	1.66731i	0.100757	+	0.0647529i
$664$	−7.56693	+	8.73271i	−0.293654	+	0.338895i
$665$	38.8541	+	11.4086i	1.50670	+	0.442406i
$666$	11.3912			0.441399
$667$	−0.512809	+	0.431098i	−0.0198560	+	0.0166922i
$668$	7.31219			0.282917
$669$	−7.19714	−	2.11327i	−0.278258	−	0.0817038i
$670$	8.26068	−	9.53333i	0.319138	−	0.368305i
$671$	47.3185	+	30.4097i	1.82671	+	1.17396i
$672$	1.22740	−	8.53678i	0.0473481	−	0.329313i
$673$	26.8766	−	17.2726i	1.03602	−	0.665808i	0.0920189	−	0.995757i	$-0.470668\pi$
$673$	26.8766	−	17.2726i	1.03602	−	0.665808i	0.943999	+	0.329949i	$0.107032\pi$
$674$	−7.96716	−	17.4456i	−0.306883	−	0.671981i
$675$	0.0211111	+	0.0243636i	0.000812568	+	0.000937754i
$676$	−0.142315	−	0.989821i	−0.00547365	−	0.0380701i
$677$	11.3003	−	24.7442i	0.434306	−	0.950997i	−0.558303	−	0.829637i	$-0.688547\pi$
$677$	11.3003	−	24.7442i	0.434306	−	0.950997i	0.992609	−	0.121359i	$-0.0387254\pi$
$678$	−26.4172	+	7.75678i	−1.01455	+	0.297897i
$679$	32.8988	−	9.65996i	1.26254	−	0.370715i
$680$	1.04934	−	2.29773i	0.0402402	−	0.0881138i
$681$	7.25782	+	50.4793i	0.278120	+	1.93437i
$682$	−4.66644	−	5.38535i	−0.178687	−	0.206216i
$683$	−7.08391	−	15.5116i	−0.271058	−	0.593535i	0.724331	−	0.689452i	$-0.242149\pi$
$683$	−7.08391	−	15.5116i	−0.271058	−	0.593535i	−0.995389	+	0.0959176i	$0.969421\pi$
$684$	−14.5327	+	9.33960i	−0.555672	+	0.357108i
$685$	−4.94726	+	34.4089i	−0.189025	+	1.31470i
$686$	4.82522	+	3.10098i	0.184228	+	0.118396i
$687$	22.9568	−	26.4935i	0.875856	−	1.01079i
$688$	9.50996	+	2.79238i	0.362564	+	0.106458i
$689$	−7.99875			−0.304728
$690$	12.4727	+	20.0612i	0.474829	+	0.763717i
$691$	−4.33526			−0.164921			−0.0824604	−	0.996594i	$-0.526278\pi$
$691$	−4.33526			−0.164921			−0.0824604	+	0.996594i	$0.526278\pi$
$692$	−12.7742	−	3.75083i	−0.485601	−	0.142585i
$693$	45.2190	−	52.1856i	1.71773	−	1.98237i
$694$	1.69395	+	1.08863i	0.0643013	+	0.0413240i
$695$	2.81987	−	19.6126i	0.106964	−	0.743948i
$696$	−0.288182	+	0.185203i	−0.0109235	+	0.00702011i
$697$	4.87793	+	10.6812i	0.184765	+	0.404579i
$698$	7.55492	+	8.71884i	0.285958	+	0.330013i
$699$	−7.11098	−	49.4579i	−0.268962	−	1.87067i
$700$	−1.41063	+	3.08885i	−0.0533169	+	0.116748i
$701$	−35.1157	+	10.3109i	−1.32630	+	0.389437i	−0.866763	−	0.498721i	$-0.833803\pi$
$701$	−35.1157	+	10.3109i	−1.32630	+	0.389437i	−0.459538	+	0.888158i	$0.651985\pi$
$702$	−0.0320363	+	0.00940671i	−0.00120913	+	0.000355033i
$703$	9.00108	−	19.7096i	0.339482	−	0.743362i
$704$	0.927183	+	6.44870i	0.0349445	+	0.243044i
$705$	−18.7284	−	21.6138i	−0.705353	−	0.814021i
$706$	−5.93485	−	12.9955i	−0.223361	−	0.489092i
$707$	−39.1120	+	25.1358i	−1.47096	+	0.945328i
$708$	−1.54472	+	10.7437i	−0.0580540	+	0.403775i
$709$	−41.8873	−	26.9193i	−1.57311	−	1.01098i	−0.978321	−	0.207093i	$-0.933600\pi$
$709$	−41.8873	−	26.9193i	−1.57311	−	1.01098i	−0.594788	−	0.803883i	$-0.702764\pi$
$710$	8.53798	−	9.85336i	0.320425	−	0.369790i
$711$	−21.3907	−	6.28086i	−0.802212	−	0.235551i
$712$	−2.21077			−0.0828520
$713$	3.91247	+	3.49394i	0.146523	+	0.130849i
$714$	10.8462			0.405908
$715$	−12.5560	−	3.68677i	−0.469567	−	0.137877i
$716$	−11.9475	+	13.7882i	−0.446500	+	0.515288i
$717$	−11.3187	−	7.27411i	−0.422706	−	0.271657i
$718$	3.40077	−	23.6528i	0.126915	−	0.882716i
$719$	13.3534	−	8.58173i	0.497999	−	0.320045i	−0.267416	−	0.963581i	$-0.586170\pi$
$719$	13.3534	−	8.58173i	0.497999	−	0.320045i	0.765415	+	0.643537i	$0.222534\pi$
$720$	2.51457	+	5.50614i	0.0937125	+	0.205202i
$721$	−38.6247	−	44.5753i	−1.43846	−	1.66007i
$722$	1.97243	+	13.7186i	0.0734064	+	0.510553i
$723$	−19.1585	+	41.9512i	−0.712510	+	1.56018i
$724$	12.4695	−	3.66137i	0.463424	−	0.136074i
$725$	0.129412	−	0.0379989i	0.00480625	−	0.00141124i
$726$	−32.0337	+	70.1439i	−1.18888	+	2.60329i
$727$	2.92428	+	20.3388i	0.108456	+	0.754325i	0.969375	+	0.245584i	$0.0789798\pi$
$727$	2.92428	+	20.3388i	0.108456	+	0.754325i	−0.860920	+	0.508741i	$0.830111\pi$
$728$	−2.30313	−	2.65795i	−0.0853597	−	0.0985103i
$729$	−11.3178	−	24.7825i	−0.419177	−	0.917870i
$730$	7.31611	−	4.70178i	0.270781	−	0.174021i
$731$	−1.77389	+	12.3377i	−0.0656096	+	0.456325i
$732$	−17.8108	−	11.4463i	−0.658306	−	0.423068i
$733$	−19.6579	+	22.6864i	−0.726080	+	0.837941i	−0.992024	−	0.126047i	$-0.959771\pi$
$733$	−19.6579	+	22.6864i	−0.726080	+	0.837941i	0.265944	+	0.963988i	$0.414316\pi$
$734$	−31.0976	−	9.13107i	−1.14783	−	0.337034i
$735$	26.4463			0.975486
$736$	−1.28219	−	4.62125i	−0.0472622	−	0.170342i
$737$	−40.9155			−1.50714
$738$	−26.9988	−	7.92756i	−0.993839	−	0.291817i
$739$	1.98798	−	2.29426i	0.0731292	−	0.0843956i	−0.718006	−	0.696037i	$-0.754945\pi$
$739$	1.98798	−	2.29426i	0.0731292	−	0.0843956i	0.791135	+	0.611641i	$0.209490\pi$
$740$	−6.38707	−	4.10472i	−0.234793	−	0.150892i
$741$	−2.00055	+	13.9141i	−0.0734921	+	0.511148i
$742$	−23.6656	+	15.2090i	−0.868793	+	0.558339i
$743$	−14.6020	−	31.9739i	−0.535695	−	1.17301i	−0.963148	−	0.268971i	$-0.913317\pi$
$743$	−14.6020	−	31.9739i	−0.535695	−	1.17301i	0.427454	−	0.904037i	$-0.359411\pi$
$744$	1.75646	+	2.02706i	0.0643949	+	0.0743157i
$745$	3.53644	+	24.5965i	0.129565	+	0.901146i
$746$	4.81289	−	10.5388i	0.176213	−	0.385852i
$747$	33.4119	−	9.81061i	1.22248	−	0.358951i
$748$	−7.86133	+	2.30830i	−0.287439	+	0.0843996i
$749$	10.3039	−	22.5625i	0.376498	−	0.824415i
$750$	−4.18177	−	29.0848i	−0.152697	−	1.06203i
$751$	17.8281	+	20.5747i	0.650555	+	0.750781i	0.981204	−	0.192973i	$-0.0618130\pi$
$751$	17.8281	+	20.5747i	0.650555	+	0.750781i	−0.330649	+	0.943754i	$0.607268\pi$
$752$	2.41198	+	5.28149i	0.0879557	+	0.192596i
$753$	−14.3032	+	9.19211i	−0.521238	+	0.334979i
$754$	−0.0198802	+	0.138270i	−0.000723996	+	0.00503550i
$755$	0.558667	+	0.359033i	0.0203320	+	0.0130666i
$756$	−0.0768987	+	0.0887458i	−0.00279678	+	0.00322766i
$757$	15.5517	+	4.56638i	0.565235	+	0.165968i	0.551851	−	0.833942i	$-0.313922\pi$
$757$	15.5517	+	4.56638i	0.565235	+	0.165968i	0.0133836	+	0.999910i	$0.495740\pi$
$758$	20.1133			0.730550
$759$	22.6833	−	73.1862i	0.823353	−	2.65649i
$760$	11.5140			0.417656
$761$	−27.7428	−	8.14602i	−1.00568	−	0.295293i	−0.262892	−	0.964825i	$-0.584676\pi$
$761$	−27.7428	−	8.14602i	−1.00568	−	0.295293i	−0.742783	+	0.669532i	$0.766495\pi$
$762$	−16.1722	+	18.6637i	−0.585856	+	0.676113i
$763$	−22.8971	−	14.7151i	−0.828932	−	0.532722i
$764$	3.38694	−	23.5567i	0.122535	−	0.852252i
$765$	−6.40395	+	4.11557i	−0.231535	+	0.148799i
$766$	1.11468	+	2.44081i	0.0402751	+	0.0881901i
$767$	2.89854	+	3.34510i	0.104660	+	0.120785i
$768$	−0.348994	−	2.42731i	−0.0125932	−	0.0875879i
$769$	−18.1825	+	39.8141i	−0.655678	+	1.43573i	0.230818	+	0.972997i	$0.425860\pi$
$769$	−18.1825	+	39.8141i	−0.655678	+	1.43573i	−0.886495	+	0.462737i	$0.846867\pi$
$770$	−44.1591	+	12.9663i	−1.59138	+	0.467272i
$771$	−42.0883	+	12.3582i	−1.51577	+	0.445071i
$772$	2.24028	−	4.90552i	0.0806294	−	0.176554i
$773$	3.38576	+	23.5485i	0.121777	+	0.846980i	0.955541	+	0.294859i	$0.0952726\pi$
$773$	3.38576	+	23.5485i	0.121777	+	0.846980i	−0.833763	+	0.552122i	$0.813818\pi$
$774$	−19.5602	−	22.5737i	−0.703078	−	0.811395i
$775$	−0.438698	−	0.960614i	−0.0157585	−	0.0345063i
$776$	8.20154	−	5.27081i	0.294418	−	0.189211i
$777$	4.63947	−	32.2682i	0.166440	−	1.15762i
$778$	3.21364	+	2.06528i	0.115215	+	0.0740440i
$779$	−35.0506	+	40.4505i	−1.25582	+	1.44929i
$780$	4.72610	+	1.38771i	0.169222	+	0.0496880i
$781$	−42.2890			−1.51322
$782$	5.52301	−	2.42314i	0.197502	−	0.0866514i
$783$	0.00466415			0.000166683
$784$	−5.15164	−	1.51266i	−0.183987	−	0.0540235i
$785$	−9.97865	+	11.5160i	−0.356153	+	0.411023i
$786$	−27.4016	−	17.6099i	−0.977383	−	0.628126i
$787$	0.462119	−	3.21411i	0.0164728	−	0.114571i	−0.979926	−	0.199362i	$-0.936113\pi$
$787$	0.462119	−	3.21411i	0.0164728	−	0.114571i	0.996399	+	0.0847910i	$0.0270223\pi$
$788$	−22.6192	+	14.5365i	−0.805775	+	0.517840i
$789$	26.2010	+	57.3723i	0.932782	+	2.04251i
$790$	9.73054	+	11.2296i	0.346197	+	0.399533i
$791$	5.61948	+	39.0844i	0.199806	+	1.38968i
$792$	8.15615	−	17.8595i	0.289816	−	0.634609i
$793$	−8.28382	+	2.43235i	−0.294167	+	0.0863753i
$794$	16.8409	−	4.94493i	0.597660	−	0.175489i
$795$	16.3669	−	35.8385i	0.580473	−	1.27106i
$796$	−1.45943	−	10.1505i	−0.0517280	−	0.359776i
$797$	−20.4532	−	23.6043i	−0.724491	−	0.836107i	0.267349	−	0.963600i	$-0.413852\pi$
$797$	−20.4532	−	23.6043i	−0.724491	−	0.836107i	−0.991839	+	0.127493i	$0.959307\pi$
$798$	20.5377	+	44.9712i	0.727025	+	1.59196i
$799$	−6.14267	+	3.94765i	−0.217312	+	0.139658i
$800$	−0.137408	+	0.955694i	−0.00485811	+	0.0337889i
$801$	5.60477	+	3.60197i	0.198035	+	0.127269i
$802$	−22.0911	+	25.4945i	−0.780063	+	0.900241i
$803$	−27.0655	−	7.94716i	−0.955122	−	0.280449i
$804$	15.4007			0.543141
$805$	31.0241	−	13.6114i	1.09346	−	0.479739i
$806$	1.09376			0.0385260
$807$	39.6396	+	11.6392i	1.39538	+	0.409720i
$808$	−8.65691	+	9.99061i	−0.304549	+	0.351468i
$809$	33.5835	+	21.5828i	1.18073	+	0.758812i	0.975521	−	0.219905i	$-0.0705749\pi$
$809$	33.5835	+	21.5828i	1.18073	+	0.758812i	0.205213	+	0.978717i	$0.434211\pi$
$810$	−2.56095	+	17.8118i	−0.0899828	+	0.625844i
$811$	−4.31444	+	2.77272i	−0.151500	+	0.0973634i	−0.614195	−	0.789154i	$-0.710519\pi$
$811$	−4.31444	+	2.77272i	−0.151500	+	0.0973634i	0.462694	+	0.886518i	$0.346883\pi$
$812$	0.204091	+	0.446896i	0.00716218	+	0.0156830i
$813$	18.2211	+	21.0282i	0.639040	+	0.737492i
$814$	3.50466	+	24.3755i	0.122838	+	0.854359i
$815$	0.973184	−	2.13098i	0.0340892	−	0.0746449i
$816$	2.95903	−	0.868848i	0.103587	−	0.0304158i
$817$	−54.5143	+	16.0068i	−1.90721	+	0.560008i
$818$	3.72144	−	8.14882i	0.130117	−	0.284917i
$819$	1.50837	+	10.4909i	0.0527067	+	0.366583i
$820$	12.2817	+	14.1738i	0.428894	+	0.494970i
$821$	7.21290	+	15.7940i	0.251732	+	0.551216i	0.992740	−	0.120280i	$-0.0383793\pi$
$821$	7.21290	+	15.7940i	0.251732	+	0.551216i	−0.741008	+	0.671496i	$0.765652\pi$
$822$	−35.7039	+	22.9455i	−1.24532	+	0.800316i
$823$	−1.63513	+	11.3726i	−0.0569972	+	0.396424i	0.941274	+	0.337644i	$0.109630\pi$
$823$	−1.63513	+	11.3726i	−0.0569972	+	0.396424i	−0.998271	+	0.0587798i	$0.981279\pi$
$824$	−14.1083	−	9.06683i	−0.491485	−	0.315858i
$825$	−10.1017	+	11.6580i	−0.351696	+	0.405878i
$826$	14.9363	+	4.38569i	0.519699	+	0.152598i
$827$	19.4612			0.676732			0.338366	−	0.941015i	$-0.390126\pi$
$827$	19.4612			0.676732			0.338366	+	0.941015i	$0.390126\pi$
$828$	−4.27870	+	13.8049i	−0.148695	+	0.479754i
$829$	17.1382			0.595233			0.297617	−	0.954685i	$-0.403808\pi$
$829$	17.1382			0.595233			0.297617	+	0.954685i	$0.403808\pi$
$830$	−22.2693	−	6.53886i	−0.772979	−	0.226967i
$831$	13.8622	−	15.9978i	0.480874	−	0.554959i
$832$	−0.841254	−	0.540641i	−0.0291652	−	0.0187433i
$833$	0.960932	−	6.68343i	0.0332943	−	0.231567i
$834$	20.3507	−	13.0786i	0.704687	−	0.452875i
$835$	6.10131	+	13.3600i	0.211145	+	0.462342i
$836$	−24.4566	−	28.2244i	−0.845848	−	0.976161i
$837$	−0.00519723	−	0.0361475i	−0.000179643	−	0.00124944i
$838$	2.03627	−	4.45880i	0.0703416	−	0.154027i
$839$	−35.4581	+	10.4115i	−1.22415	+	0.359443i	−0.829040	−	0.559190i	$-0.811112\pi$
$839$	−35.4581	+	10.4115i	−1.22415	+	0.359443i	−0.395112	+	0.918633i	$0.629294\pi$
$840$	16.6216	−	4.88054i	0.573500	−	0.168395i
$841$	−12.0389	+	26.3616i	−0.415135	+	0.909020i
$842$	0.0113221	+	0.0787473i	0.000390187	+	0.00271381i
$843$	−6.25275	−	7.21606i	−0.215356	−	0.248534i
$844$	−5.44826	−	11.9300i	−0.187537	−	0.410648i
$845$	1.68974	−	1.08593i	0.0581289	−	0.0373572i
$846$	2.49017	−	17.3195i	0.0856138	−	0.595457i
$847$	93.0364	+	59.7909i	3.19677	+	2.05444i
$848$	−5.23807	+	6.04505i	−0.179876	+	0.207588i
$849$	63.4228	+	18.6226i	2.17667	+	0.639127i
$850$	−1.21423			−0.0416478
$851$	−4.84657	−	17.4679i	−0.166138	−	0.598792i
$852$	15.9177			0.545332
$853$	28.0449	+	8.23474i	0.960240	+	0.281952i	0.724044	−	0.689753i	$-0.242281\pi$
$853$	28.0449	+	8.23474i	0.960240	+	0.281952i	0.236196	+	0.971705i	$0.424099\pi$
$854$	−19.8842	+	22.9475i	−0.680422	+	0.785249i
$855$	−29.1904	−	18.7595i	−0.998290	−	0.641562i
$856$	1.00369	−	6.98085i	0.0343056	−	0.238601i
$857$	18.5651	−	11.9310i	0.634171	−	0.407557i	−0.183681	−	0.982986i	$-0.558801\pi$
$857$	18.5651	−	11.9310i	0.634171	−	0.407557i	0.817852	+	0.575429i	$0.195165\pi$
$858$	−6.63690	−	14.5328i	−0.226580	−	0.496141i
$859$	−32.2829	−	37.2565i	−1.10148	−	1.27117i	−0.959624	−	0.281286i	$-0.909239\pi$
$859$	−32.2829	−	37.2565i	−1.10148	−	1.27117i	−0.141855	−	0.989887i	$-0.545307\pi$
$860$	2.83322	+	19.7055i	0.0966121	+	0.671952i
$861$	−33.4529	+	73.2517i	−1.14007	+	2.49641i
$862$	−11.7642	+	3.45428i	−0.400691	+	0.117653i
$863$	−10.0529	+	2.95180i	−0.342205	+	0.100480i	−0.448319	−	0.893874i	$-0.647977\pi$
$863$	−10.0529	+	2.95180i	−0.342205	+	0.100480i	0.106115	+	0.994354i	$0.466159\pi$
$864$	−0.0138702	+	0.0303715i	−0.000471874	+	0.00103326i
$865$	−3.80570	−	26.4692i	−0.129398	−	0.899980i
$866$	−21.2657	−	24.5420i	−0.722639	−	0.833970i
$867$	−15.7069	−	34.3934i	−0.533435	−	1.16806i
$868$	3.23607	−	2.07969i	0.109839	−	0.0705894i
$869$	6.85898	−	47.7053i	0.232675	−	1.61829i
$870$	−0.578842	−	0.371999i	−0.0196246	−	0.0126120i
$871$	4.11265	−	4.74626i	0.139352	−	0.160821i
$872$	−7.42552	−	2.18033i	−0.251460	−	0.0738352i
$873$	−29.3803			−0.994373
$874$	20.5051	+	18.3116i	0.693594	+	0.619399i
$875$	−42.1417			−1.42465
$876$	10.1875	+	2.99133i	0.344205	+	0.101068i
$877$	−12.6151	+	14.5586i	−0.425982	+	0.491610i	−0.927650	−	0.373451i	$-0.878175\pi$
$877$	−12.6151	+	14.5586i	−0.425982	+	0.491610i	0.501668	+	0.865060i	$0.332720\pi$
$878$	−16.8696	−	10.8414i	−0.569320	−	0.365880i
$879$	7.48105	−	52.0318i	0.252330	−	1.75499i
$880$	−11.0087	+	7.07486i	−0.371103	+	0.238493i
$881$	14.7014	+	32.1916i	0.495303	+	1.08456i	0.977968	+	0.208757i	$0.0669417\pi$
$881$	14.7014	+	32.1916i	0.495303	+	1.08456i	−0.482665	+	0.875805i	$0.660331\pi$
$882$	10.5960	+	12.2284i	0.356784	+	0.411751i
$883$	0.492714	+	3.42690i	0.0165812	+	0.115324i	0.996431	−	0.0844109i	$-0.0269008\pi$
$883$	0.492714	+	3.42690i	0.0165812	+	0.115324i	−0.979850	+	0.199735i	$0.935992\pi$
$884$	0.522422	−	1.14394i	0.0175710	−	0.0384750i
$885$	−20.9187	+	6.14228i	−0.703174	+	0.206470i
$886$	−33.4263	+	9.81485i	−1.12298	+	0.329736i
$887$	−2.03754	+	4.46159i	−0.0684139	+	0.149806i	−0.940750	−	0.339101i	$-0.889877\pi$
$887$	−2.03754	+	4.46159i	−0.0684139	+	0.149806i	0.872336	+	0.488907i	$0.162604\pi$
$888$	−1.31916	−	9.17499i	−0.0442682	−	0.307892i
$889$	23.1937	+	26.7669i	0.777891	+	0.897734i
$890$	−1.84467	−	4.03927i	−0.0618335	−	0.135397i
$891$	49.1021	−	31.5560i	1.64498	−	1.05717i
$892$	−0.435312	+	3.02766i	−0.0145753	+	0.101374i
$893$	−27.9994	−	17.9941i	−0.936965	−	0.602151i
$894$	−19.8673	+	22.9281i	−0.664463	+	0.766831i
$895$	−35.1613	−	10.3243i	−1.17531	−	0.345103i
$896$	−3.51698			−0.117494
$897$	6.20966	+	9.98766i	0.207335	+	0.333478i
$898$	−14.2917			−0.476921
$899$	−0.146600	−	0.0430457i	−0.00488939	−	0.00143565i
$900$	1.90546	−	2.19901i	0.0635152	−	0.0733004i
$901$	−8.46229	−	5.43839i	−0.281920	−	0.181179i
$902$	8.65724	−	60.2125i	0.288255	−	2.00486i
$903$	−71.9120	+	46.2150i	−2.39308	+	1.53794i
$904$	4.66400	+	10.2127i	0.155122	+	0.339671i
$905$	17.0942	+	19.7278i	0.568230	+	0.655773i
$906$	0.115385	+	0.802522i	0.00383342	+	0.0266620i
$907$	10.0896	−	22.0931i	0.335018	−	0.733588i	−0.664892	−	0.746939i	$-0.731523\pi$
$907$	10.0896	−	22.0931i	0.335018	−	0.733588i	0.999911	+	0.0133510i	$0.00424989\pi$
$908$	19.9540	−	5.85902i	0.662197	−	0.194439i
$909$	38.2247	−	11.2238i	1.26783	−	0.372269i
$910$	2.93458	−	6.42582i	0.0972802	−	0.213014i
$911$	0.00736030	+	0.0511920i	0.000243858	+	0.00169607i	0.989943	−	0.141467i	$-0.0451818\pi$
$911$	0.00736030	+	0.0511920i	0.000243858	+	0.00169607i	−0.989699	+	0.143163i	$0.954273\pi$
$912$	9.20552	+	10.6237i	0.304825	+	0.351787i
$913$	31.2729	+	68.4781i	1.03498	+	2.26629i
$914$	34.6660	−	22.2785i	1.14665	−	0.736907i
$915$	6.05202	−	42.0927i	0.200074	−	1.39154i
$916$	−12.0260	−	7.72864i	−0.397350	−	0.255362i
$917$	−30.5914	+	35.3044i	−1.01022	+	1.16585i
$918$	−0.0402886	−	0.0118298i	−0.00132972	−	0.000390441i
$919$	−50.2100			−1.65627			−0.828137	−	0.560526i	$-0.810599\pi$
$919$	−50.2100			−1.65627			−0.828137	+	0.560526i	$0.810599\pi$
$920$	7.37357	−	6.19867i	0.243099	−	0.204364i
$921$	−46.7444			−1.54028
$922$	25.4738	+	7.47978i	0.838935	+	0.246334i
$923$	4.25071	−	4.90558i	0.139914	−	0.161469i
$924$	−47.2693	−	30.3781i	−1.55505	−	0.999368i
$925$	−0.519389	+	3.61243i	−0.0170774	+	0.118776i
$926$	−11.2438	+	7.22596i	−0.369495	+	0.237460i
$927$	20.9950	+	45.9727i	0.689568	+	1.50994i
$928$	0.0914788	+	0.105572i	0.00300294	+	0.00346558i
$929$	−0.0195578	−	0.136028i	−0.000641672	−	0.00446293i	0.989498	−	0.144546i	$-0.0461721\pi$
$929$	−0.0195578	−	0.136028i	−0.000641672	−	0.00446293i	−0.990140	+	0.140083i	$0.955263\pi$
$930$	−2.23802	+	4.90059i	−0.0733877	+	0.160697i
$931$	29.5309	−	8.67105i	0.967836	−	0.284182i
$932$	−19.5503	+	5.74048i	−0.640391	+	0.188036i
$933$	−28.4624	+	62.3239i	−0.931817	+	2.04039i
$934$	4.73315	+	32.9198i	0.154873	+	1.07717i
$935$	−10.7770	−	12.4373i	−0.352445	−	0.406743i
$936$	1.25190	+	2.74128i	0.0409197	+	0.0896016i
$937$	1.89869	−	1.22021i	0.0620275	−	0.0398627i	−0.509260	−	0.860613i	$-0.670081\pi$
$937$	1.89869	−	1.22021i	0.0620275	−	0.0398627i	0.571287	+	0.820750i	$0.306444\pi$
$938$	3.14335	−	21.8625i	0.102634	−	0.713835i
$939$	31.0878	+	19.9789i	1.01451	+	0.651987i
$940$	−7.63719	+	8.81379i	−0.249098	+	0.287474i
$941$	47.8483	+	14.0495i	1.55981	+	0.458001i	0.944014	−	0.329906i	$-0.107017\pi$
$941$	47.8483	+	14.0495i	1.55981	+	0.458001i	0.615795	+	0.787907i	$0.288835\pi$
$942$	−18.6036			−0.606138
$943$	−0.669500	+	44.7744i	−0.0218019	+	1.45806i
$944$	4.42620			0.144061
$945$	−0.226311	−	0.0664509i	−0.00736190	−	0.00216165i
$946$	42.2864	−	48.8011i	1.37485	−	1.58666i
$947$	−24.0986	−	15.4872i	−0.783098	−	0.503267i	0.0869623	−	0.996212i	$-0.472284\pi$
$947$	−24.0986	−	15.4872i	−0.783098	−	0.503267i	−0.870061	+	0.492945i	$0.835920\pi$
$948$	−2.58174	+	17.9564i	−0.0838510	+	0.583196i
$949$	3.64239	−	2.34082i	0.118237	−	0.0759863i
$950$	−2.29919	−	5.03453i	−0.0745957	−	0.163342i
$951$	−15.2117	−	17.5553i	−0.493274	−	0.569269i
$952$	−0.629447	−	4.37790i	−0.0204005	−	0.141888i
$953$	4.02396	−	8.81124i	0.130349	−	0.285424i	−0.833193	−	0.552983i	$-0.813490\pi$
$953$	4.02396	−	8.81124i	0.130349	−	0.285424i	0.963542	+	0.267559i	$0.0862169\pi$
$954$	23.1287	−	6.79121i	0.748820	−	0.219873i
$955$	45.8663	−	13.4676i	1.48420	−	0.435800i
$956$	−2.27922	+	4.99079i	−0.0737151	+	0.161414i
$957$	0.317618	+	2.20908i	0.0102671	+	0.0714094i
$958$	10.8985	+	12.5776i	0.352115	+	0.406363i
$959$	25.2855	+	55.3676i	0.816513	+	1.78791i
$960$	4.14370	−	2.66299i	0.133737	−	0.0859478i
$961$	4.24151	−	29.5003i	0.136823	−	0.951624i
$962$	−3.17986	−	2.04357i	−0.102523	−	0.0658874i
$963$	−13.9184	+	16.0627i	−0.448513	+	0.517612i
$964$	18.0448	+	5.29843i	0.581184	+	0.170651i
$965$	10.8321			0.348698
$966$	37.3631	+	17.7430i	1.20214	+	0.570871i
$967$	−59.9054			−1.92643			−0.963215	−	0.268733i	$-0.913395\pi$
$967$	−59.9054			−1.92643			−0.963215	+	0.268733i	$0.913395\pi$
$968$	30.1716	+	8.85918i	0.969752	+	0.284745i
$969$	−11.5768	+	13.3603i	−0.371899	+	0.429195i
$970$	16.4736	+	10.5870i	0.528936	+	0.339927i
$971$	4.93015	−	34.2900i	0.158216	−	1.10042i	−0.743702	−	0.668511i	$-0.766932\pi$
$971$	4.93015	−	34.2900i	0.158216	−	1.10042i	0.901918	−	0.431906i	$-0.142159\pi$
$972$	−18.5664	+	11.9319i	−0.595518	+	0.382716i
$973$	−14.4124	−	31.5587i	−0.462040	−	1.01173i
$974$	−11.0520	−	12.7547i	−0.354129	−	0.408687i
$975$	−0.336961	−	2.34362i	−0.0107914	−	0.0750558i
$976$	−3.58650	+	7.85334i	−0.114801	+	0.251379i
$977$	−44.5058	+	13.0681i	−1.42387	+	0.418085i	−0.900811	−	0.434212i	$-0.857027\pi$
$977$	−44.5058	+	13.0681i	−1.42387	+	0.418085i	−0.523057	+	0.852297i	$0.675209\pi$
$978$	2.74428	−	0.805794i	0.0877525	−	0.0257665i
$979$	−5.98329	+	13.1016i	−0.191227	+	0.418729i
$980$	−1.53478	−	10.6747i	−0.0490269	−	0.340989i
$981$	15.2729	+	17.6259i	0.487626	+	0.562751i
$982$	−3.13864	−	6.87267i	−0.100158	−	0.219316i
$983$	10.7822	−	6.92933i	0.343900	−	0.221011i	−0.357277	−	0.933999i	$-0.616295\pi$
$983$	10.7822	−	6.92933i	0.343900	−	0.221011i	0.701177	+	0.712987i	$0.252658\pi$
$984$	−3.25861	+	22.6641i	−0.103881	+	0.722506i
$985$	−45.4329	−	29.1980i	−1.44761	−	0.930325i
$986$	−0.115043	+	0.132767i	−0.00366371	+	0.00422815i
$987$	−48.0474	−	14.1080i	−1.52937	−	0.449062i
$988$	5.73233			0.182370
$989$	−26.2936	+	39.5991i	−0.836088	+	1.25918i
$990$	39.4363			1.25337
$991$	−11.2790	−	3.31181i	−0.358289	−	0.105203i	0.0976339	−	0.995222i	$-0.468873\pi$
$991$	−11.2790	−	3.31181i	−0.358289	−	0.105203i	−0.455923	+	0.890019i	$0.650691\pi$
$992$	0.716259	−	0.826607i	0.0227412	−	0.0262448i
$993$	32.9702	+	21.1886i	1.04628	+	0.672401i
$994$	3.24887	−	22.5964i	0.103048	−	0.716714i
$995$	17.3282	−	11.1361i	0.549340	−	0.353039i
$996$	−11.7712	−	25.7753i	−0.372985	−	0.816723i
$997$	0.906186	+	1.04579i	0.0286992	+	0.0331206i	0.769918	−	0.638143i	$-0.220297\pi$
$997$	0.906186	+	1.04579i	0.0286992	+	0.0331206i	−0.741219	+	0.671264i	$0.765752\pi$
$998$	4.66012	+	32.4118i	0.147514	+	1.02598i
$999$	−0.0524280	+	0.114801i	−0.00165875	+	0.00363216i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	598.2.k.c.547.1	yes	40
23.9	even	11	inner	598.2.k.c.469.1	✓	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
598.2.k.c.469.1	✓	40	23.9	even	11	inner
598.2.k.c.547.1	yes	40	1.1	even	1	trivial

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	598.2.k.c.547.1

Level	$598$
Weight	$2$
Character	598.547
Analytic conductor	$4.775$
Analytic rank	$0$
Dimension	$40$
Inner twists	$2$