LMFDB - Embedded newform 504.2.cy.a.347.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(347,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 5, 4]))

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

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

chi := DirichletCharacter("504.347");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cy (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			347.12
Character	$\chi$	$=$	504.347
Dual form			504.2.cy.a.443.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29887 + 0.559401i) q^{2} +(-0.869153 + 1.49819i) q^{3} +(1.37414 - 1.45318i) q^{4} +2.96535 q^{5} +(0.290830 - 2.43216i) q^{6} +(-0.557344 + 2.58638i) q^{7} +(-0.971921 + 2.65619i) q^{8} +(-1.48915 - 2.60431i) q^{9} +O(q^{10})$	\(q+(-1.29887 + 0.559401i) q^{2} +(-0.869153 + 1.49819i) q^{3} +(1.37414 - 1.45318i) q^{4} +2.96535 q^{5} +(0.290830 - 2.43216i) q^{6} +(-0.557344 + 2.58638i) q^{7} +(-0.971921 + 2.65619i) q^{8} +(-1.48915 - 2.60431i) q^{9} +(-3.85161 + 1.65882i) q^{10} +1.14084i q^{11} +(0.982805 + 3.32176i) q^{12} +(-1.20993 - 0.698555i) q^{13} +(-0.722907 - 3.67116i) q^{14} +(-2.57734 + 4.44265i) q^{15} +(-0.223478 - 3.99375i) q^{16} +(6.02425 + 3.47811i) q^{17} +(3.39107 + 2.54964i) q^{18} +(1.37831 + 2.38731i) q^{19} +(4.07480 - 4.30919i) q^{20} +(-3.39047 - 3.08297i) q^{21} +(-0.638186 - 1.48180i) q^{22} +2.95046 q^{23} +(-3.13474 - 3.76476i) q^{24} +3.79327 q^{25} +(1.96232 + 0.230496i) q^{26} +(5.19605 + 0.0325245i) q^{27} +(2.99261 + 4.36397i) q^{28} +(-1.85598 - 3.21465i) q^{29} +(0.862411 - 7.21220i) q^{30} +(-8.30144 + 4.79284i) q^{31} +(2.52438 + 5.06236i) q^{32} +(-1.70919 - 0.991563i) q^{33} +(-9.77040 - 1.14764i) q^{34} +(-1.65272 + 7.66951i) q^{35} +(-5.83084 - 1.41469i) q^{36} +(-5.92474 + 3.42065i) q^{37} +(-3.12572 - 2.32978i) q^{38} +(2.09818 - 1.20556i) q^{39} +(-2.88208 + 7.87653i) q^{40} +(6.20145 + 3.58041i) q^{41} +(6.12841 + 2.10775i) q^{42} +(0.368441 + 0.638159i) q^{43} +(1.65784 + 1.56767i) q^{44} +(-4.41583 - 7.72269i) q^{45} +(-3.83228 + 1.65049i) q^{46} +(3.62925 - 6.28604i) q^{47} +(6.17764 + 3.13637i) q^{48} +(-6.37874 - 2.88301i) q^{49} +(-4.92698 + 2.12196i) q^{50} +(-10.4469 + 6.00247i) q^{51} +(-2.67774 + 0.798340i) q^{52} +(-4.23405 + 7.33359i) q^{53} +(-6.76720 + 2.86443i) q^{54} +3.38298i q^{55} +(-6.32824 - 3.99417i) q^{56} +(-4.77461 - 0.00996205i) q^{57} +(4.20896 + 3.13718i) q^{58} +(-11.4874 + 6.63226i) q^{59} +(2.91435 + 9.85017i) q^{60} +(-4.80661 - 2.77510i) q^{61} +(8.10139 - 10.8691i) q^{62} +(7.56571 - 2.40000i) q^{63} +(-6.11074 - 5.16322i) q^{64} +(-3.58787 - 2.07146i) q^{65} +(2.77470 + 0.331790i) q^{66} +(-0.0428660 - 0.0742460i) q^{67} +(13.3325 - 3.97494i) q^{68} +(-2.56441 + 4.42036i) q^{69} +(-2.14367 - 10.8863i) q^{70} +6.13960 q^{71} +(8.36489 - 1.42427i) q^{72} +(3.22594 - 5.58749i) q^{73} +(5.78196 - 7.75729i) q^{74} +(-3.29693 + 5.68304i) q^{75} +(5.36319 + 1.27756i) q^{76} +(-2.95064 - 0.635839i) q^{77} +(-2.05088 + 2.73959i) q^{78} +(2.83456 + 1.63654i) q^{79} +(-0.662688 - 11.8429i) q^{80} +(-4.56489 + 7.75640i) q^{81} +(-10.0578 - 1.18140i) q^{82} +(1.44667 - 0.835233i) q^{83} +(-9.13910 + 0.690544i) q^{84} +(17.8640 + 10.3138i) q^{85} +(-0.835546 - 0.622781i) q^{86} +(6.42929 + 0.0134145i) q^{87} +(-3.03029 - 1.10880i) q^{88} +(13.7941 - 7.96402i) q^{89} +(10.0557 + 7.56057i) q^{90} +(2.48108 - 2.74001i) q^{91} +(4.05435 - 4.28756i) q^{92} +(0.0346412 - 16.6028i) q^{93} +(-1.19751 + 10.1950i) q^{94} +(4.08718 + 7.07920i) q^{95} +(-9.77845 - 0.617968i) q^{96} +(9.27174 + 16.0591i) q^{97} +(9.89792 + 0.176386i) q^{98} +(2.97110 - 1.69887i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 5 q^{12} - 3 q^{14} + q^{16} + 5 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} + 148 q^{25} + 6 q^{26} - 8 q^{27} + 24 q^{30} - 33 q^{32} + 22 q^{33} - 4 q^{34} - 30 q^{35} - 38 q^{36} - 12 q^{40} - 12 q^{41} + 7 q^{42} - 4 q^{43} - 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} + 26 q^{51} - 18 q^{52} - 40 q^{54} + 18 q^{56} + 4 q^{57} + 6 q^{58} - 6 q^{59} - 2 q^{60} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 2 q^{67} - 18 q^{70} - 11 q^{72} - 4 q^{73} - 36 q^{75} + 2 q^{76} - 29 q^{78} - 87 q^{80} - 10 q^{81} - 4 q^{82} - 72 q^{83} - 65 q^{84} + 14 q^{88} + 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} + 9 q^{94} - 88 q^{96} - 4 q^{97} - 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 5 * q^12 - 3 * q^14 + q^16 + 5 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 + 148 * q^25 + 6 * q^26 - 8 * q^27 + 24 * q^30 - 33 * q^32 + 22 * q^33 - 4 * q^34 - 30 * q^35 - 38 * q^36 - 12 * q^40 - 12 * q^41 + 7 * q^42 - 4 * q^43 - 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 + 26 * q^51 - 18 * q^52 - 40 * q^54 + 18 * q^56 + 4 * q^57 + 6 * q^58 - 6 * q^59 - 2 * q^60 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 2 * q^67 - 18 * q^70 - 11 * q^72 - 4 * q^73 - 36 * q^75 + 2 * q^76 - 29 * q^78 - 87 * q^80 - 10 * q^81 - 4 * q^82 - 72 * q^83 - 65 * q^84 + 14 * q^88 + 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 + 9 * q^94 - 88 * q^96 - 4 * q^97 - 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.29887	+	0.559401i	−0.918442	+	0.395557i
$2$	−1.29887	+	0.559401i	−0.918442	+	0.395557i
$3$	−0.869153	+	1.49819i	−0.501806	+	0.864980i
$3$	−0.869153	+	1.49819i	−0.501806	+	0.864980i
$4$	1.37414	−	1.45318i	0.687070	−	0.726591i
$5$	2.96535			1.32614			0.663071	−	0.748556i	$-0.269253\pi$
$5$	2.96535			1.32614			0.663071	+	0.748556i	$0.269253\pi$
$6$	0.290830	−	2.43216i	0.118731	−	0.992926i
$7$	−0.557344	+	2.58638i	−0.210656	+	0.977560i
$7$	−0.557344	+	2.58638i	−0.210656	+	0.977560i
$8$	−0.971921	+	2.65619i	−0.343626	+	0.939107i
$9$	−1.48915	−	2.60431i	−0.496382	−	0.868104i
$10$	−3.85161	+	1.65882i	−1.21798	+	0.524564i
$11$			1.14084i			0.343975i	0.985099	+	0.171988i	$0.0550189\pi$
$11$			1.14084i			0.343975i	−0.985099	+	0.171988i	$0.944981\pi$
$12$	0.982805	+	3.32176i	0.283711	+	0.958910i
$13$	−1.20993	−	0.698555i	−0.335575	−	0.193744i	0.322739	−	0.946488i	$-0.395397\pi$
$13$	−1.20993	−	0.698555i	−0.335575	−	0.193744i	−0.658313	+	0.752744i	$0.728730\pi$
$14$	−0.722907	−	3.67116i	−0.193205	−	0.981158i
$15$	−2.57734	+	4.44265i	−0.665466	+	1.14709i
$16$	−0.223478	−	3.99375i	−0.0558694	−	0.998438i
$17$	6.02425	+	3.47811i	1.46110	+	0.843564i	0.999062	−	0.0432977i	$-0.0137864\pi$
$17$	6.02425	+	3.47811i	1.46110	+	0.843564i	0.462034	+	0.886862i	$0.347120\pi$
$18$	3.39107	+	2.54964i	0.799282	+	0.600956i
$19$	1.37831	+	2.38731i	0.316207	+	0.547686i	0.979693	−	0.200502i	$-0.0642573\pi$
$19$	1.37831	+	2.38731i	0.316207	+	0.547686i	−0.663486	+	0.748188i	$0.730924\pi$
$20$	4.07480	−	4.30919i	0.911153	−	0.963564i
$21$	−3.39047	−	3.08297i	−0.739862	−	0.672759i
$22$	−0.638186	−	1.48180i	−0.136062	−	0.315921i
$23$	2.95046			0.615214			0.307607	−	0.951513i	$-0.400472\pi$
$23$	2.95046			0.615214			0.307607	+	0.951513i	$0.400472\pi$
$24$	−3.13474	−	3.76476i	−0.639875	−	0.768479i
$25$	3.79327			0.758654
$26$	1.96232	+	0.230496i	0.384843	+	0.0452039i
$27$	5.19605	+	0.0325245i	0.999980	+	0.00625935i
$28$	2.99261	+	4.36397i	0.565551	+	0.824713i
$29$	−1.85598	−	3.21465i	−0.344647	−	0.596946i	0.640643	−	0.767839i	$-0.278668\pi$
$29$	−1.85598	−	3.21465i	−0.344647	−	0.596946i	−0.985290	+	0.170893i	$0.945335\pi$
$30$	0.862411	−	7.21220i	0.157454	−	1.31676i
$31$	−8.30144	+	4.79284i	−1.49098	+	0.860819i	−0.999947	−	0.0103206i	$-0.996715\pi$
$31$	−8.30144	+	4.79284i	−1.49098	+	0.860819i	−0.491035	+	0.871140i	$0.663381\pi$
$32$	2.52438	+	5.06236i	0.446251	+	0.894908i
$33$	−1.70919	−	0.991563i	−0.297532	−	0.172609i
$34$	−9.77040	−	1.14764i	−1.67561	−	0.196818i
$35$	−1.65272	+	7.66951i	−0.279360	+	1.29638i
$36$	−5.83084	−	1.41469i	−0.971806	−	0.235782i
$37$	−5.92474	+	3.42065i	−0.974021	+	0.562351i	−0.900460	−	0.434939i	$-0.856770\pi$
$37$	−5.92474	+	3.42065i	−0.974021	+	0.562351i	−0.0735613	+	0.997291i	$0.523436\pi$
$38$	−3.12572	−	2.32978i	−0.507058	−	0.377940i
$39$	2.09818	−	1.20556i	0.335978	−	0.193044i
$40$	−2.88208	+	7.87653i	−0.455697	+	1.24539i
$41$	6.20145	+	3.58041i	0.968505	+	0.559166i	0.898780	−	0.438400i	$-0.144455\pi$
$41$	6.20145	+	3.58041i	0.968505	+	0.559166i	0.0697245	+	0.997566i	$0.477788\pi$
$42$	6.12841	+	2.10775i	0.945634	+	0.325233i
$43$	0.368441	+	0.638159i	0.0561868	+	0.0973184i	0.892751	−	0.450551i	$-0.148772\pi$
$43$	0.368441	+	0.638159i	0.0561868	+	0.0973184i	−0.836564	+	0.547869i	$0.815439\pi$
$44$	1.65784	+	1.56767i	0.249930	+	0.236335i
$45$	−4.41583	−	7.72269i	−0.658273	−	1.15123i
$46$	−3.83228	+	1.65049i	−0.565038	+	0.243352i
$47$	3.62925	−	6.28604i	0.529380	−	0.916913i	−0.470033	−	0.882649i	$-0.655758\pi$
$47$	3.62925	−	6.28604i	0.529380	−	0.916913i	0.999413	−	0.0342642i	$-0.0109088\pi$
$48$	6.17764	+	3.13637i	0.891665	+	0.452696i
$49$	−6.37874	−	2.88301i	−0.911248	−	0.411858i
$50$	−4.92698	+	2.12196i	−0.696780	+	0.300091i
$51$	−10.4469	+	6.00247i	−1.46285	+	0.840514i
$52$	−2.67774	+	0.798340i	−0.371336	+	0.110710i
$53$	−4.23405	+	7.33359i	−0.581592	+	1.00735i	0.413699	+	0.910414i	$0.364236\pi$
$53$	−4.23405	+	7.33359i	−0.581592	+	1.00735i	−0.995291	+	0.0969327i	$0.969097\pi$
$54$	−6.76720	+	2.86443i	−0.920900	+	0.389800i
$55$			3.38298i			0.456161i
$56$	−6.32824	−	3.99417i	−0.845646	−	0.533744i
$57$	−4.77461	−	0.00996205i	−0.632412	−	0.00131951i
$58$	4.20896	+	3.13718i	0.552664	+	0.411932i
$59$	−11.4874	+	6.63226i	−1.49553	+	0.863447i	−0.999987	−	0.00513444i	$-0.998366\pi$
$59$	−11.4874	+	6.63226i	−1.49553	+	0.863447i	−0.495547	+	0.868581i	$0.665032\pi$
$60$	2.91435	+	9.85017i	0.376242	+	1.27165i
$61$	−4.80661	−	2.77510i	−0.615423	−	0.355315i	0.159662	−	0.987172i	$-0.448960\pi$
$61$	−4.80661	−	2.77510i	−0.615423	−	0.355315i	−0.775085	+	0.631857i	$0.782293\pi$
$62$	8.10139	−	10.8691i	1.02888	−	1.38038i
$63$	7.56571	−	2.40000i	0.953190	−	0.302372i
$64$	−6.11074	−	5.16322i	−0.763842	−	0.645403i
$65$	−3.58787	−	2.07146i	−0.445020	−	0.256932i
$66$	2.77470	+	0.331790i	0.341542	+	0.0408405i
$67$	−0.0428660	−	0.0742460i	−0.00523691	−	0.00907060i	0.863395	−	0.504528i	$-0.168334\pi$
$67$	−0.0428660	−	0.0742460i	−0.00523691	−	0.00907060i	−0.868632	+	0.495458i	$0.835000\pi$
$68$	13.3325	−	3.97494i	1.61680	−	0.482032i
$69$	−2.56441	+	4.42036i	−0.308718	+	0.532148i
$70$	−2.14367	−	10.8863i	−0.256217	−	1.30116i
$71$	6.13960			0.728636			0.364318	−	0.931275i	$-0.381302\pi$
$71$	6.13960			0.728636			0.364318	+	0.931275i	$0.381302\pi$
$72$	8.36489	−	1.42427i	0.985812	−	0.167852i
$73$	3.22594	−	5.58749i	0.377568	−	0.653966i	−0.613140	−	0.789974i	$-0.710094\pi$
$73$	3.22594	−	5.58749i	0.377568	−	0.653966i	0.990708	+	0.136008i	$0.0434273\pi$
$74$	5.78196	−	7.75729i	0.672140	−	0.901767i
$75$	−3.29693	+	5.68304i	−0.380697	+	0.656221i
$76$	5.36319	+	1.27756i	0.615200	+	0.146546i
$77$	−2.95064	−	0.635839i	−0.336257	−	0.0724606i
$78$	−2.05088	+	2.73959i	−0.232217	+	0.310198i
$79$	2.83456	+	1.63654i	0.318913	+	0.184125i	0.650908	−	0.759157i	$-0.274388\pi$
$79$	2.83456	+	1.63654i	0.318913	+	0.184125i	−0.331995	+	0.943281i	$0.607722\pi$
$80$	−0.662688	−	11.8429i	−0.0740908	−	1.32407i
$81$	−4.56489	+	7.75640i	−0.507210	+	0.861822i
$82$	−10.0578	−	1.18140i	−1.11070	−	0.130463i
$83$	1.44667	−	0.835233i	0.158792	−	0.0916787i	−0.418498	−	0.908218i	$-0.637443\pi$
$83$	1.44667	−	0.835233i	0.158792	−	0.0916787i	0.577290	+	0.816539i	$0.304110\pi$
$84$	−9.13910	+	0.690544i	−0.997158	+	0.0753446i
$85$	17.8640	+	10.3138i	1.93762	+	1.11869i
$86$	−0.835546	−	0.622781i	−0.0900992	−	0.0671562i
$87$	6.42929	+	0.0134145i	0.689292	+	0.00143818i
$88$	−3.03029	−	1.10880i	−0.323030	−	0.118199i
$89$	13.7941	−	7.96402i	1.46217	−	0.844184i	0.463058	−	0.886328i	$-0.346752\pi$
$89$	13.7941	−	7.96402i	1.46217	−	0.844184i	0.999112	+	0.0421437i	$0.0134187\pi$
$90$	10.0557	+	7.56057i	1.05996	+	0.796954i
$91$	2.48108	−	2.74001i	0.260088	−	0.287231i
$92$	4.05435	−	4.28756i	0.422695	−	0.447009i
$93$	0.0346412	−	16.6028i	0.00359213	−	1.72163i
$94$	−1.19751	+	10.1950i	−0.123514	+	1.05153i
$95$	4.08718	+	7.07920i	0.419335	+	0.726310i
$96$	−9.77845	−	0.617968i	−0.998009	−	0.0630711i
$97$	9.27174	+	16.0591i	0.941402	+	1.63056i	0.762799	+	0.646635i	$0.223824\pi$
$97$	9.27174	+	16.0591i	0.941402	+	1.63056i	0.178603	+	0.983921i	$0.442842\pi$
$98$	9.89792	+	0.176386i	0.999841	+	0.0178177i
$99$	2.97110	−	1.69887i	0.298607	−	0.170743i
$100$	5.21249	−	5.51232i	0.521249	−	0.551232i
$101$	0.0322311			0.00320711			0.00160356	−	0.999999i	$-0.499490\pi$
$101$	0.0322311			0.00320711			0.00160356	+	0.999999i	$0.499490\pi$
$102$	10.2114	−	13.6404i	1.01107	−	1.35060i
$103$		−	14.6435i		−	1.44287i	−0.692482	−	0.721435i	$-0.743483\pi$
$103$		−	14.6435i		−	1.44287i	0.692482	−	0.721435i	$-0.256517\pi$
$104$	3.03146	−	2.53488i	0.297259	−	0.248565i
$105$	−10.0539	−	9.14207i	−0.981162	−	0.892174i
$106$	1.39707	−	11.8939i	0.135696	−	1.15524i
$107$	−1.41305	+	0.815827i	−0.136605	+	0.0788690i	−0.566745	−	0.823893i	$-0.691798\pi$
$107$	−1.41305	+	0.815827i	−0.136605	+	0.0788690i	0.430140	+	0.902762i	$0.358464\pi$
$108$	7.18737	−	7.50612i	0.691605	−	0.722276i
$109$	3.53408	+	2.04040i	0.338504	+	0.195435i	0.659610	−	0.751608i	$-0.270721\pi$
$109$	3.53408	+	2.04040i	0.338504	+	0.195435i	−0.321107	+	0.947043i	$0.604055\pi$
$110$	−1.89244	−	4.39406i	−0.180437	−	0.418957i
$111$	0.0247235	−	11.8495i	0.00234665	−	1.12470i
$112$	10.4539	+	1.64790i	0.987803	+	0.155711i
$113$	−0.676838	−	0.390773i	−0.0636716	−	0.0367608i	0.467826	−	0.883820i	$-0.345037\pi$
$113$	−0.676838	−	0.390773i	−0.0636716	−	0.0367608i	−0.531498	+	0.847060i	$0.678371\pi$
$114$	6.20718	−	2.65798i	0.581356	−	0.248943i
$115$	8.74914			0.815862
$116$	−7.22185	−	1.72030i	−0.670532	−	0.159726i
$117$	−0.0174900	+	4.19129i	−0.00161696	+	0.387485i
$118$	11.2106	−	15.0405i	1.03202	−	1.38459i
$119$	−12.3533	+	13.6425i	−1.13242	+	1.25061i
$120$	−9.29557	−	11.1638i	−0.848566	−	1.01911i
$121$	9.69849			0.881681
$122$	7.79556	+	0.915673i	0.705777	+	0.0829012i
$123$	−10.7542	+	6.17903i	−0.969669	+	0.557144i
$124$	−4.44247	+	18.6495i	−0.398946	+	1.67478i
$125$	−3.57837			−0.320059
$126$	−8.48433	+	7.34956i	−0.755844	+	0.654751i
$127$			0.00882911i			0.000783457i	1.00000		0.000391728i	$0.000124691\pi$
$127$			0.00882911i			0.000783457i	−1.00000		0.000391728i	$0.999875\pi$
$128$	10.8254	+	3.28801i	0.956838	+	0.290622i
$129$	−1.27632	−	0.00266299i	−0.112373	−	0.000234463i
$130$	5.81896	+	0.683500i	0.510356	+	0.0599469i
$131$		−	10.8233i		−	0.945632i	−0.881161	−	0.472816i	$-0.843238\pi$
$131$		−	10.8233i		−	0.945632i	0.881161	−	0.472816i	$-0.156762\pi$
$132$	−3.78959	+	1.12122i	−0.329841	+	0.0975897i
$133$	−6.94269	+	2.23429i	−0.602007	+	0.193738i
$134$	0.0972108	+	0.0724569i	0.00839773	+	0.00625932i
$135$	15.4081	+	0.0964464i	1.32612	+	0.00830078i
$136$	−15.0936	+	12.6212i	−1.29427	+	1.08225i
$137$		−	0.799058i		−	0.0682681i	−0.999417	−	0.0341341i	$-0.989133\pi$
$137$		−	0.799058i		−	0.0682681i	0.999417	−	0.0341341i	$-0.0108673\pi$
$138$	0.858083	−	7.17601i	0.0730449	−	0.610863i
$139$	8.58417	−	14.8682i	0.728100	−	1.26111i	−0.229586	−	0.973288i	$-0.573737\pi$
$139$	8.58417	−	14.8682i	0.728100	−	1.26111i	0.957685	−	0.287817i	$-0.0929296\pi$
$140$	8.87414	+	12.9407i	0.750001	+	1.09369i
$141$	6.26331	+	10.9008i	0.527466	+	0.918016i
$142$	−7.97455	+	3.43450i	−0.669210	+	0.288217i
$143$	0.796937	−	1.38034i	0.0666433	−	0.115429i
$144$	−10.0682	+	6.52928i	−0.839016	+	0.544107i
$145$	−5.50362	−	9.53255i	−0.457051	−	0.791635i
$146$	−1.06443	+	9.06203i	−0.0880932	+	0.749979i
$147$	9.86339	−	7.05078i	0.813519	−	0.581539i
$148$	−3.17059	+	13.3102i	−0.260621	+	1.09409i
$149$	−10.7551			−0.881096			−0.440548	−	0.897729i	$-0.645216\pi$
$149$	−10.7551			−0.881096			−0.440548	+	0.897729i	$0.645216\pi$
$150$	1.10320	−	9.22586i	0.0900756	−	0.753288i
$151$		−	12.8088i		−	1.04237i	−0.853445	−	0.521184i	$-0.825491\pi$
$151$		−	12.8088i		−	1.04237i	0.853445	−	0.521184i	$-0.174509\pi$
$152$	−7.68077	+	1.34079i	−0.622993	+	0.108753i
$153$	0.0870830	−	20.8684i	0.00704024	−	1.68711i
$154$	4.18820	−	0.824719i	0.337494	−	0.0664577i
$155$	−24.6166	+	14.2124i	−1.97726	+	1.14157i
$156$	1.13130	−	4.70565i	0.0905769	−	0.376753i
$157$	4.41638	−	2.54980i	0.352465	−	0.203496i	−0.313305	−	0.949652i	$-0.601436\pi$
$157$	4.41638	−	2.54980i	0.352465	−	0.203496i	0.665771	+	0.746157i	$0.268103\pi$
$158$	−4.59721	−	0.539993i	−0.365735	−	0.0429595i
$159$	−7.30707	−	12.7174i	−0.579489	−	1.00856i
$160$	7.48566	+	15.0117i	0.591793	+	1.18678i
$161$	−1.64442	+	7.63103i	−0.129599	+	0.601409i
$162$	1.59027	−	12.6282i	0.124944	−	0.992164i
$163$	5.63078	+	9.75279i	0.441036	+	0.763897i	0.997767	−	0.0667959i	$-0.0212776\pi$
$163$	5.63078	+	9.75279i	0.441036	+	0.763897i	−0.556730	+	0.830693i	$0.687944\pi$
$164$	13.7247	−	4.09186i	1.07172	−	0.319520i
$165$	−5.06834	−	2.94033i	−0.394570	−	0.228904i
$166$	−1.41180	+	1.89413i	−0.109577	+	0.147013i
$167$	−2.01609	+	3.49197i	−0.156010	+	0.270217i	−0.933426	−	0.358769i	$-0.883196\pi$
$167$	−2.01609	+	3.49197i	−0.156010	+	0.270217i	0.777416	+	0.628986i	$0.216530\pi$
$168$	11.4842	−	6.00935i	0.886028	−	0.463632i
$169$	−5.52404	−	9.56792i	−0.424926	−	0.735994i
$170$	−28.9726	−	3.40315i	−2.22210	−	0.261009i
$171$	4.16479	−	7.14461i	0.318490	−	0.546362i
$172$	1.43365	+	0.341508i	0.109315	+	0.0260397i
$173$	10.5178	−	18.2174i	0.799657	−	1.38505i	−0.120183	−	0.992752i	$-0.538348\pi$
$173$	10.5178	−	18.2174i	0.799657	−	1.38505i	0.919840	−	0.392295i	$-0.128319\pi$
$174$	−8.35833	+	3.57913i	−0.633643	+	0.271333i
$175$	−2.11416	+	9.81085i	−0.159815	+	0.741630i
$176$	4.55622	−	0.254952i	0.343438	−	0.0192177i
$177$	0.0479361	−	22.9748i	0.00360310	−	1.72689i
$178$	−13.4617	+	18.0607i	−1.00900	+	1.35370i
$179$	18.5382	+	10.7030i	1.38561	+	0.799983i	0.992817	−	0.119643i	$-0.0381750\pi$
$179$	18.5382	+	10.7030i	1.38561	+	0.799983i	0.392795	+	0.919626i	$0.371508\pi$
$180$	−17.2904	−	4.19505i	−1.28875	−	0.312680i
$181$		−	25.2709i		−	1.87837i	−0.343410	−	0.939186i	$-0.611582\pi$
$181$		−	25.2709i		−	1.87837i	0.343410	−	0.939186i	$-0.388418\pi$
$182$	−1.68984	+	4.94684i	−0.125259	+	0.366684i
$183$	8.33530	−	4.78923i	0.616163	−	0.354030i
$184$	−2.86762	+	7.83701i	−0.211404	+	0.577752i
$185$	−17.5689	+	10.1434i	−1.29169	+	0.745758i
$186$	9.24266	+	21.5844i	0.677704	+	1.58264i
$187$	−3.96795	+	6.87270i	−0.290165	+	0.502581i
$188$	−4.14767	−	13.9119i	−0.302500	−	1.01463i
$189$	−2.98011	+	13.4208i	−0.216771	+	0.976222i
$190$	−9.26883	−	6.90860i	−0.672432	−	0.501203i
$191$	−9.98758	+	17.2990i	−0.722676	+	1.25171i	0.237247	+	0.971449i	$0.423755\pi$
$191$	−9.98758	+	17.2990i	−0.722676	+	1.25171i	−0.959923	+	0.280262i	$0.909579\pi$
$192$	13.0467	−	4.66742i	0.941561	−	0.336842i
$193$	3.81907	+	6.61482i	0.274902	+	0.476145i	0.970111	−	0.242664i	$-0.0780211\pi$
$193$	3.81907	+	6.61482i	0.274902	+	0.476145i	−0.695208	+	0.718809i	$0.744688\pi$
$194$	−21.0263	−	15.6721i	−1.50960	−	1.12519i
$195$	6.22184	−	3.57489i	0.445555	−	0.256003i
$196$	−12.9548	+	5.30781i	−0.925344	+	0.379129i
$197$	16.9024			1.20425			0.602123	−	0.798403i	$-0.294322\pi$
$197$	16.9024			1.20425			0.602123	+	0.798403i	$0.294322\pi$
$198$	−2.90873	+	3.86866i	−0.206714	+	0.274933i
$199$	8.95516	+	5.17026i	0.634814	+	0.366510i	0.782614	−	0.622507i	$-0.213886\pi$
$199$	8.95516	+	5.17026i	0.634814	+	0.366510i	−0.147800	+	0.989017i	$0.547219\pi$
$200$	−3.68676	+	10.0757i	−0.260693	+	0.712457i
$201$	0.148492		0.000309823i	0.0104738		2.18532e-5i
$202$	−0.0418641	+	0.0180301i	−0.00294555	+	0.00126860i
$203$	9.34873	−	3.00860i	0.656152	−	0.211163i
$204$	−5.63277	+	23.4294i	−0.394373	+	1.64039i
$205$	18.3895	+	10.6172i	1.28438	+	0.741534i
$206$	8.19162	+	19.0201i	0.570737	+	1.32519i
$207$	−4.39367	−	7.68393i	−0.305381	−	0.534070i
$208$	−2.51946	+	4.98828i	−0.174693	+	0.345875i
$209$	−2.72353	+	1.57243i	−0.188391	+	0.108767i
$210$	18.1728	+	6.25020i	1.25405	+	0.431305i
$211$	5.34466	−	9.25722i	0.367941	−	0.637293i	−0.621302	−	0.783571i	$-0.713396\pi$
$211$	5.34466	−	9.25722i	0.367941	−	0.637293i	0.989244	+	0.146278i	$0.0467294\pi$
$212$	4.83887	+	16.2302i	0.332335	+	1.11470i
$213$	−5.33625	+	9.19828i	−0.365634	+	0.630256i
$214$	1.37900	−	1.85012i	0.0942666	−	0.126472i
$215$	1.09256	+	1.89236i	0.0745117	+	0.129058i
$216$	−5.13654	+	13.7701i	−0.349497	+	0.936937i
$217$	−7.76935	−	24.1419i	−0.527418	−	1.63886i
$218$	−5.73173	−	0.673253i	−0.388201	−	0.0455985i
$219$	5.56729	+	9.68945i	0.376202	+	0.654753i
$220$	4.91608	+	4.64868i	0.331442	+	0.313414i
$221$	−4.85929	−	8.41654i	−0.326871	−	0.566158i
$222$	6.59649	+	15.4048i	0.442727	+	1.03390i
$223$	−3.87836	+	2.23917i	−0.259714	+	0.149946i	−0.624204	−	0.781261i	$-0.714577\pi$
$223$	−3.87836	+	2.23917i	−0.259714	+	0.149946i	0.364490	+	0.931207i	$0.381243\pi$
$224$	−14.5001	+	3.70753i	−0.968832	+	0.247720i
$225$	−5.64873	−	9.87887i	−0.376582	−	0.658591i
$226$	1.09773	+	0.128940i	0.0730196	+	0.00857695i
$227$			10.1369i			0.672812i	0.941717	+	0.336406i	$0.109212\pi$
$227$			10.1369i			0.672812i	−0.941717	+	0.336406i	$0.890788\pi$
$228$	−6.57546	+	6.92469i	−0.435470	+	0.458599i
$229$			6.30709i			0.416784i	0.978045	+	0.208392i	$0.0668230\pi$
$229$			6.30709i			0.416784i	−0.978045	+	0.208392i	$0.933177\pi$
$230$	−11.3640	+	4.89428i	−0.749322	+	0.322720i
$231$	3.51717	−	3.86798i	0.231413	−	0.254494i
$232$	10.3426	−	1.80546i	0.679025	−	0.118534i
$233$	19.2136	−	11.0930i	1.25872	−	0.726724i	0.285897	−	0.958260i	$-0.407709\pi$
$233$	19.2136	−	11.0930i	1.25872	−	0.726724i	0.972826	+	0.231536i	$0.0743753\pi$
$234$	−2.32190	−	5.45374i	−0.151787	−	0.356522i
$235$	10.7620	−	18.6403i	0.702033	−	1.21596i
$236$	−6.14743	+	25.8070i	−0.400164	+	1.67989i
$237$	−4.91551	+	2.82431i	−0.319297	+	0.183459i
$238$	8.41370	−	24.6303i	0.545379	−	1.59655i
$239$	−1.04797	+	1.81514i	−0.0677876	+	0.117412i	−0.897927	−	0.440144i	$-0.854927\pi$
$239$	−1.04797	+	1.81514i	−0.0677876	+	0.117412i	0.830140	+	0.557556i	$0.188261\pi$
$240$	18.3188	+	9.30042i	1.18247	+	0.600340i
$241$	1.30079			0.0837911			0.0418956	−	0.999122i	$-0.486660\pi$
$241$	1.30079			0.0837911			0.0418956	+	0.999122i	$0.486660\pi$
$242$	−12.5971	+	5.42535i	−0.809772	+	0.348755i
$243$	−7.65297	−	13.5806i	−0.490938	−	0.871194i
$244$	−10.6377	+	3.17151i	−0.681007	+	0.203035i
$245$	−18.9152	−	8.54911i	−1.20844	−	0.546183i
$246$	10.5117	−	14.0417i	0.670202	−	0.895264i
$247$		−	3.85131i		−	0.245053i
$248$	−4.66237	−	26.7085i	−0.296061	−	1.69599i
$249$	−0.00603682	+	2.89333i	−0.000382568	+	0.183357i
$250$	4.64784	−	2.00174i	0.293955	−	0.126601i
$251$		−	29.4615i		−	1.85959i	−0.368075	−	0.929796i	$-0.619983\pi$
$251$		−	29.4615i		−	1.85959i	0.368075	−	0.929796i	$-0.380017\pi$
$252$	6.90871	−	14.2923i	0.435208	−	0.900330i
$253$			3.36600i			0.211619i
$254$	−0.00493902	−	0.0114679i	−0.000309901	−	0.000719559i
$255$	−30.9786	+	17.7994i	−1.93995	+	1.11464i
$256$	−15.9001	+	1.78503i	−0.993757	+	0.111564i
$257$			13.1257i			0.818760i	0.912364	+	0.409380i	$0.134255\pi$
$257$			13.1257i			0.818760i	−0.912364	+	0.409380i	$0.865745\pi$
$258$	1.65926	−	0.710514i	0.103301	−	0.0442347i
$259$	−5.54499	−	17.2301i	−0.344549	−	1.07063i
$260$	−7.94043	+	2.36735i	−0.492445	+	0.146817i
$261$	−5.60813	+	9.62063i	−0.347135	+	0.595502i
$262$	6.05454	+	14.0580i	0.374051	+	0.868508i
$263$	20.6948			1.27610			0.638049	−	0.769996i	$-0.279742\pi$
$263$	20.6948			1.27610			0.638049	+	0.769996i	$0.279742\pi$
$264$	4.29498	−	3.57622i	0.264338	−	0.220101i
$265$	−12.5554	+	21.7466i	−0.771274	+	1.33588i
$266$	7.76780	−	6.78581i	0.476274	−	0.416065i
$267$	−0.0575616	+	27.5881i	−0.00352271	+	1.68836i
$268$	−0.166797	−	0.0397324i	−0.0101887	−	0.00242704i
$269$	−1.78790	+	3.09674i	−0.109010	+	0.188812i	−0.915370	−	0.402614i	$-0.868102\pi$
$269$	−1.78790	+	3.09674i	−0.109010	+	0.188812i	0.806359	+	0.591426i	$0.201435\pi$
$270$	−20.0671	+	8.49403i	−1.22124	+	0.516930i
$271$	10.2398	−	5.91194i	0.622022	−	0.359125i	−0.155634	−	0.987815i	$-0.549742\pi$
$271$	10.2398	−	5.91194i	0.622022	−	0.359125i	0.777656	+	0.628690i	$0.216409\pi$
$272$	12.5444	−	24.8367i	0.760616	−	1.50594i
$273$	1.94862	+	6.09861i	0.117936	+	0.369105i
$274$	0.446994	+	1.03787i	0.0270039	+	0.0627003i
$275$			4.32751i			0.260958i
$276$	2.89973	+	9.80074i	0.174543	+	0.589935i
$277$			10.9310i			0.656783i	0.944542	+	0.328391i	$0.106506\pi$
$277$			10.9310i			0.656783i	−0.944542	+	0.328391i	$0.893494\pi$
$278$	−2.83244	+	24.1139i	−0.169879	+	1.44626i
$279$	24.8441	+	14.4823i	1.48738	+	0.867033i
$280$	−18.7654	−	11.8441i	−1.12145	−	0.707820i
$281$	15.6538	−	9.03770i	0.933825	−	0.539144i	0.0458056	−	0.998950i	$-0.485415\pi$
$281$	15.6538	−	9.03770i	0.933825	−	0.539144i	0.888019	+	0.459806i	$0.152081\pi$
$282$	−14.2332	−	10.6551i	−0.847574	−	0.634501i
$283$	−12.2260	−	21.1760i	−0.726759	−	1.25878i	−0.958246	−	0.285945i	$-0.907693\pi$
$283$	−12.2260	−	21.1760i	−0.726759	−	1.25878i	0.231487	−	0.972838i	$-0.425641\pi$
$284$	8.43667	−	8.92195i	0.500624	−	0.529420i
$285$	−14.1584	−	0.0295409i	−0.838669	−	0.00174985i
$286$	−0.262958	+	2.23869i	−0.0155490	+	0.132376i
$287$	−12.7167	+	14.0438i	−0.750640	+	0.828980i
$288$	9.42481	−	14.1129i	0.555362	−	0.831609i
$289$	15.6944	+	27.1836i	0.923202	+	1.59903i
$290$	12.4810	+	9.30283i	0.732911	+	0.546281i
$291$	−32.1182	−	0.0670134i	−1.88280	−	0.00392840i
$292$	−3.68675	−	12.3659i	−0.215751	−	0.723658i
$293$	0.645475	−	1.11799i	0.0377090	−	0.0653140i	−0.846555	−	0.532301i	$-0.821327\pi$
$293$	0.645475	−	1.11799i	0.0377090	−	0.0653140i	0.884264	+	0.466987i	$0.154661\pi$
$294$	−8.86707	+	14.6757i	−0.517138	+	0.855902i
$295$	−34.0641	+	19.6669i	−1.98329	+	1.14505i
$296$	−3.32753	−	19.0619i	−0.193409	−	1.10795i
$297$	−0.0371052	+	5.92785i	−0.00215306	+	0.343969i
$298$	13.9696	−	6.01644i	0.809235	−	0.348523i
$299$	−3.56986	−	2.06106i	−0.206450	−	0.119194i
$300$	3.72805	+	12.6003i	0.215239	+	0.727481i
$301$	−1.85587	+	0.597256i	−0.106971	+	0.0344252i
$302$	7.16527	+	16.6370i	0.412315	+	0.957353i
$303$	−0.0280138	+	0.0482883i	−0.00160935	+	0.00277409i
$304$	9.22630	−	6.03815i	0.529165	−	0.346312i
$305$	−14.2532	−	8.22912i	−0.816139	−	0.471198i
$306$	11.5607	+	27.1542i	0.660883	+	1.55230i
$307$	−24.5811			−1.40292			−0.701458	−	0.712711i	$-0.747467\pi$
$307$	−24.5811			−1.40292			−0.701458	+	0.712711i	$0.747467\pi$
$308$	−4.97858	+	3.41409i	−0.283681	+	0.194536i
$309$	21.9388	+	12.7275i	1.24805	+	0.724041i
$310$	24.0234	−	32.2307i	1.36444	−	1.83058i
$311$	0.887995	+	1.53805i	0.0503536	+	0.0872150i	0.890104	−	0.455758i	$-0.150632\pi$
$311$	0.887995	+	1.53805i	0.0503536	+	0.0872150i	−0.839750	+	0.542973i	$0.817299\pi$
$312$	1.16293	+	6.74489i	0.0658377	+	0.381854i
$313$	−11.6644	+	20.2033i	−0.659310	+	1.14196i	0.321484	+	0.946915i	$0.395818\pi$
$313$	−11.6644	+	20.2033i	−0.659310	+	1.14196i	−0.980794	+	0.195044i	$0.937515\pi$
$314$	−4.30995	+	5.78239i	−0.243225	+	0.326319i
$315$	22.4349	−	7.11683i	1.26407	−	0.400988i
$316$	6.27327	−	1.87031i	0.352899	−	0.105213i
$317$	5.22538	−	9.05063i	0.293487	−	0.508334i	−0.681145	−	0.732149i	$-0.738518\pi$
$317$	5.22538	−	9.05063i	0.293487	−	0.508334i	0.974632	+	0.223815i	$0.0718510\pi$
$318$	16.6051	+	12.4307i	0.931168	+	0.697081i
$319$	3.66739	−	2.11737i	0.205335	−	0.118550i
$320$	−18.1205	−	15.3107i	−1.01296	−	0.855896i
$321$	0.00589656	−	2.82610i	0.000329114	−	0.157738i
$322$	−2.13291	−	10.8316i	−0.118862	−	0.603623i
$323$			19.1757i			1.06696i
$324$	4.99866	+	17.2920i	0.277704	+	0.960667i
$325$	−4.58960	−	2.64981i	−0.254585	−	0.146985i
$326$	−12.7694	−	9.51777i	−0.707231	−	0.527140i
$327$	−6.12857	+	3.52130i	−0.338911	+	0.194728i
$328$	−15.5376	+	12.9924i	−0.857920	+	0.717385i
$329$	14.2354	+	12.8901i	0.784821	+	0.710654i
$330$	8.22795	+	0.983871i	0.452934	+	0.0541603i
$331$	10.9585	−	18.9807i	0.602333	−	1.04327i	−0.390134	−	0.920758i	$-0.627571\pi$
$331$	10.9585	−	18.9807i	0.602333	−	1.04327i	0.992467	−	0.122513i	$-0.0390953\pi$
$332$	0.774176	−	3.25000i	0.0424884	−	0.178367i
$333$	17.7312	+	10.3360i	0.971666	+	0.566411i
$334$	0.665232	−	5.66343i	0.0363998	−	0.309889i
$335$	−0.127112	−	0.220165i	−0.00694489	−	0.0120289i
$336$	−11.5549	+	14.2297i	−0.630372	+	0.776293i
$337$	−11.1845	+	19.3722i	−0.609260	+	1.05527i	0.382103	+	0.924120i	$0.375200\pi$
$337$	−11.1845	+	19.3722i	−0.609260	+	1.05527i	−0.991363	+	0.131149i	$0.958133\pi$
$338$	12.5273	+	9.33736i	0.681397	+	0.507885i
$339$	1.17373	−	0.674391i	0.0637482	−	0.0366279i
$340$	39.5354	−	11.7871i	2.14411	−	0.639243i
$341$	−5.46785	−	9.47059i	−0.296101	−	0.512861i
$342$	−1.41283	+	11.6097i	−0.0763970	+	0.627782i
$343$	11.0117	−	14.8910i	0.594576	−	0.804039i
$344$	−2.05317	+	0.358412i	−0.110700	+	0.0193243i
$345$	−7.60435	+	13.1079i	−0.409404	+	0.705704i
$346$	−3.47048	+	29.5458i	−0.186574	+	1.58839i
$347$	−22.4975	+	12.9889i	−1.20773	+	0.697282i	−0.962262	−	0.272124i	$-0.912274\pi$
$347$	−22.4975	+	12.9889i	−1.20773	+	0.697282i	−0.245465	+	0.969405i	$0.578941\pi$
$348$	8.85423	−	9.32449i	0.474637	−	0.499845i
$349$	0.550681	−	0.317936i	0.0294773	−	0.0170187i	−0.485189	−	0.874409i	$-0.661249\pi$
$349$	0.550681	−	0.317936i	0.0294773	−	0.0170187i	0.514666	+	0.857391i	$0.327916\pi$
$350$	−2.74218	−	13.9257i	−0.146576	−	0.744360i
$351$	−6.26415	−	3.66908i	−0.334356	−	0.195841i
$352$	−5.77533	+	2.87991i	−0.307826	+	0.153500i
$353$		−	28.6474i		−	1.52475i	−0.647136	−	0.762374i	$-0.724034\pi$
$353$		−	28.6474i		−	1.52475i	0.647136	−	0.762374i	$-0.275966\pi$
$354$	12.7899	+	29.8681i	0.679773	+	1.58747i
$355$	18.2060			0.966275
$356$	7.38183	−	30.9890i	0.391236	−	1.64241i
$357$	−9.70218	−	30.3650i	−0.513494	−	1.60709i
$358$	−30.0661	−	3.53159i	−1.58904	−	0.186650i
$359$	−16.5975	−	28.7478i	−0.875984	−	1.51725i	−0.855710	−	0.517455i	$-0.826879\pi$
$359$	−16.5975	−	28.7478i	−0.875984	−	1.51725i	−0.0202742	−	0.999794i	$-0.506454\pi$
$360$	24.8048	−	4.22346i	1.30733	−	0.222596i
$361$	5.70050	−	9.87356i	0.300026	−	0.519661i
$362$	14.1366	+	32.8237i	0.743002	+	1.72517i
$363$	−8.42947	+	14.5302i	−0.442433	+	0.762637i
$364$	−0.572388	−	7.37062i	−0.0300013	−	0.386325i
$365$	9.56602	−	16.5688i	0.500708	−	0.867253i
$366$	−8.14739	+	10.8834i	−0.425871	+	0.568883i
$367$		−	18.3301i		−	0.956821i	−0.878136	−	0.478411i	$-0.841213\pi$
$367$		−	18.3301i		−	0.956821i	0.878136	−	0.478411i	$-0.158787\pi$
$368$	−0.659363	−	11.7834i	−0.0343717	−	0.614253i
$369$	0.0896445	−	21.4823i	0.00466670	−	1.11832i
$370$	17.1455	−	23.0031i	0.891353	−	1.19587i
$371$	−16.6076	−	15.0382i	−0.862226	−	0.780745i
$372$	−24.0793	−	22.8650i	−1.24846	−	1.18549i
$373$			25.3910i			1.31470i	0.753586	+	0.657349i	$0.228322\pi$
$373$			25.3910i			1.31470i	−0.753586	+	0.657349i	$0.771678\pi$
$374$	1.30927	−	11.1464i	0.0677007	−	0.576368i
$375$	3.11015	−	5.36107i	0.160607	−	0.276844i
$376$	13.1696	+	15.7495i	0.679170	+	0.812219i
$377$			5.18601i			0.267093i
$378$	−3.63686	−	19.0990i	−0.187060	−	0.982349i
$379$	−12.4549			−0.639767			−0.319883	−	0.947457i	$-0.603644\pi$
$379$	−12.4549			−0.639767			−0.319883	+	0.947457i	$0.603644\pi$
$380$	15.9037	+	3.78840i	0.815843	+	0.194341i
$381$	−0.0132277	−	0.00767385i	−0.000677675	−	0.000393143i
$382$	3.29551	−	28.0563i	0.168613	−	1.43548i
$383$	−14.0943			−0.720185			−0.360093	−	0.932917i	$-0.617255\pi$
$383$	−14.0943			−0.720185			−0.360093	+	0.932917i	$0.617255\pi$
$384$	−14.3350	+	13.3607i	−0.731529	+	0.681810i
$385$	−8.74967	−	1.88548i	−0.445924	−	0.0960930i
$386$	−8.66082	−	6.45541i	−0.440824	−	0.328572i
$387$	1.11330	−	1.90985i	0.0565924	−	0.0970831i
$388$	36.0775	+	8.59396i	1.83156	+	0.436292i
$389$	−0.729483			−0.0369862			−0.0184931	−	0.999829i	$-0.505887\pi$
$389$	−0.729483			−0.0369862			−0.0184931	+	0.999829i	$0.505887\pi$
$390$	−6.08158	+	8.12384i	−0.307953	+	0.411366i
$391$	17.7743	+	10.2620i	0.898887	+	0.518973i
$392$	13.8575	−	14.1411i	0.699907	−	0.714234i
$393$	16.2153	+	9.40706i	0.817953	+	0.474524i
$394$	−21.9541	+	9.45523i	−1.10603	+	0.476348i
$395$	8.40545	+	4.85289i	0.422924	+	0.244175i
$396$	1.61393	−	6.65204i	0.0811032	−	0.334277i
$397$	19.8907	−	11.4839i	0.998284	−	0.576359i	0.0905437	−	0.995892i	$-0.471140\pi$
$397$	19.8907	−	11.4839i	0.998284	−	0.576359i	0.907740	+	0.419533i	$0.137806\pi$
$398$	−14.5239	−	1.70599i	−0.728016	−	0.0855133i
$399$	2.68686	−	12.3434i	0.134511	−	0.617943i
$400$	−0.847711	−	15.1494i	−0.0423856	−	0.757469i
$401$			18.0587i			0.901810i	0.892572	+	0.450905i	$0.148899\pi$
$401$			18.0587i			0.901810i	−0.892572	+	0.450905i	$0.851101\pi$
$402$	−0.193045	+	0.0826641i	−0.00962822	+	0.00412291i
$403$	13.3922			0.667115
$404$	0.0442901	−	0.0468377i	0.00220351	−	0.00233026i
$405$	−13.5365	+	23.0004i	−0.672633	+	1.14290i
$406$	−10.4598	+	9.13748i	−0.519111	+	0.453486i
$407$	−3.90240	−	6.75916i	−0.193435	−	0.335039i
$408$	−5.79021	−	33.5828i	−0.286658	−	1.66260i
$409$	−2.68263	−	4.64646i	−0.132648	−	0.229752i	0.792049	−	0.610458i	$-0.209015\pi$
$409$	−2.68263	−	4.64646i	−0.132648	−	0.229752i	−0.924696	+	0.380705i	$0.875681\pi$
$410$	−29.8248	−	3.50325i	−1.47294	−	0.173013i
$411$	1.19714	+	0.694504i	0.0590506	+	0.0342573i
$412$	−21.2797	−	20.1223i	−1.04838	−	0.991353i
$413$	−10.7511	−	33.4073i	−0.529028	−	1.64386i
$414$	10.0052	+	7.52262i	0.491730	+	0.369717i
$415$	4.28986	−	2.47675i	0.210581	−	0.121579i
$416$	0.482009	−	7.88853i	0.0236324	−	0.386767i
$417$	14.8145	+	25.7835i	0.725467	+	1.26262i
$418$	2.65790	−	3.56594i	0.130002	−	0.174416i
$419$	−6.06325	−	3.50062i	−0.296209	−	0.171016i	0.344530	−	0.938775i	$-0.388038\pi$
$419$	−6.06325	−	3.50062i	−0.296209	−	0.171016i	−0.640739	+	0.767759i	$0.721372\pi$
$420$	−27.1006	+	2.04770i	−1.32237	+	0.0999176i
$421$	−19.5737	+	11.3009i	−0.953965	+	0.550772i	−0.894310	−	0.447447i	$-0.852333\pi$
$421$	−19.5737	+	11.3009i	−0.953965	+	0.550772i	−0.0596548	+	0.998219i	$0.519000\pi$
$422$	−1.76353	+	15.0138i	−0.0858472	+	0.730858i
$423$	−21.7753	−	0.0908672i	−1.05875	−	0.00441811i
$424$	−15.3643	−	18.3741i	−0.746156	−	0.892327i
$425$	22.8516	+	13.1934i	1.10847	+	0.639974i
$426$	1.78558	−	14.9325i	0.0865115	−	0.723482i
$427$	9.85639	−	10.8850i	0.476984	−	0.526764i
$428$	−0.756188	+	3.17448i	−0.0365517	+	0.153445i
$429$	1.37534	+	2.39369i	0.0664023	+	0.115568i
$430$	−2.47768	−	1.84676i	−0.119484	−	0.0890587i
$431$	0.486209	−	0.842138i	0.0234198	−	0.0405644i	−0.854078	−	0.520145i	$-0.825878\pi$
$431$	0.486209	−	0.842138i	0.0234198	−	0.0405644i	0.877498	+	0.479581i	$0.159211\pi$
$432$	−1.03131	−	20.7590i	−0.0496187	−	0.998768i
$433$	12.3302			0.592550			0.296275	−	0.955103i	$-0.404255\pi$
$433$	12.3302			0.592550			0.296275	+	0.955103i	$0.404255\pi$
$434$	23.5964	+	27.0111i	1.13266	+	1.29658i
$435$	19.0651	+	0.0397786i	0.914099	+	0.00190724i
$436$	7.82140	−	2.33186i	0.374577	−	0.111676i
$437$	4.06667	+	7.04367i	0.194535	+	0.336944i
$438$	−12.6515	−	9.47102i	−0.604511	−	0.452543i
$439$	−9.34360	−	5.39453i	−0.445946	−	0.257467i	0.260171	−	0.965563i	$-0.416221\pi$
$439$	−9.34360	−	5.39453i	−0.445946	−	0.257467i	−0.706116	+	0.708096i	$0.749554\pi$
$440$	−8.98585	−	3.28799i	−0.428383	−	0.156749i
$441$	1.99061	+	20.9054i	0.0947910	+	0.995497i
$442$	11.0198	+	8.21372i	0.524160	+	0.390687i
$443$	−13.7401	−	7.93284i	−0.652811	−	0.376900i	0.136722	−	0.990610i	$-0.456343\pi$
$443$	−13.7401	−	7.93284i	−0.652811	−	0.376900i	−0.789532	+	0.613709i	$0.789677\pi$
$444$	−17.1854	−	16.3187i	−0.815585	−	0.774453i
$445$	40.9042	−	23.6161i	1.93905	−	1.11951i
$446$	3.78490	−	5.07796i	0.179220	−	0.240448i
$447$	9.34787	−	16.1132i	0.442139	−	0.762130i
$448$	16.7598	−	12.9270i	0.791828	−	0.610744i
$449$			1.99481i			0.0941409i	0.998892	+	0.0470705i	$0.0149885\pi$
$449$			1.99481i			0.0941409i	−0.998892	+	0.0470705i	$0.985011\pi$
$450$	12.8632	+	9.67148i	0.606379	+	0.455918i
$451$	−4.08467	+	7.07485i	−0.192339	+	0.333142i
$452$	−1.49794	+	0.446593i	−0.0704569	+	0.0210060i
$453$	19.1900	+	11.1328i	0.901627	+	0.523066i
$454$	−5.67062	−	13.1666i	−0.266135	−	0.617939i
$455$	7.35725	−	8.12508i	0.344913	−	0.380910i
$456$	4.66700	−	12.6726i	0.218552	−	0.593449i
$457$	−7.11728	+	12.3275i	−0.332932	+	0.576656i	−0.983085	−	0.183148i	$-0.941371\pi$
$457$	−7.11728	+	12.3275i	−0.332932	+	0.576656i	0.650153	+	0.759803i	$0.274705\pi$
$458$	−3.52819	−	8.19210i	−0.164862	−	0.382792i
$459$	31.1892	+	18.2683i	1.45579	+	0.852693i
$460$	12.0226	−	12.7141i	0.560554	−	0.592798i
$461$	10.7109	+	18.5519i	0.498858	+	0.864047i	0.999999	−	0.00131840i	$-0.000419659\pi$
$461$	10.7109	+	18.5519i	0.498858	+	0.864047i	−0.501141	+	0.865365i	$0.667086\pi$
$462$	−2.40460	+	6.99152i	−0.111872	+	0.325275i
$463$	−24.0952	−	13.9114i	−1.11980	−	0.646516i	−0.178449	−	0.983949i	$-0.557108\pi$
$463$	−24.0952	−	13.9114i	−1.11980	−	0.646516i	−0.941350	+	0.337433i	$0.890441\pi$
$464$	−12.4237	+	8.13072i	−0.576758	+	0.377459i
$465$	0.102723	−	49.2331i	0.00476368	−	2.28313i
$466$	−18.7506	+	25.1564i	−0.868603	+	1.16535i
$467$	2.94612	−	1.70094i	0.136330	−	0.0787103i	−0.430284	−	0.902694i	$-0.641586\pi$
$467$	2.94612	−	1.70094i	0.136330	−	0.0787103i	0.566614	+	0.823983i	$0.308253\pi$
$468$	6.06668	+	5.78484i	0.280432	+	0.267404i
$469$	0.215920	−	0.0694872i	0.00997024	−	0.00320862i
$470$	−3.55103	+	30.2316i	−0.163797	+	1.39448i
$471$	−0.0184292	+	8.83273i	−0.000849172	+	0.406991i
$472$	−6.45172	−	36.9588i	−0.296964	−	1.70117i
$473$	−0.728036	+	0.420332i	−0.0334751	+	0.0193269i
$474$	4.80470	−	6.41816i	0.220687	−	0.294796i
$475$	5.22832	+	9.05571i	0.239892	+	0.415505i
$476$	2.84992	+	36.6983i	0.130626	+	1.68206i
$477$	25.4041	+	0.106010i	1.16317	+	0.00485386i
$478$	0.345790	−	2.94387i	0.0158160	−	0.134650i
$479$	3.62081			0.165439			0.0827195	−	0.996573i	$-0.473639\pi$
$479$	3.62081			0.165439			0.0827195	+	0.996573i	$0.473639\pi$
$480$	−28.9965	−	1.83249i	−1.32350	−	0.0836413i
$481$	9.55804			0.435809
$482$	−1.68956	+	0.727663i	−0.0769573	+	0.0331441i
$483$	−10.0035	−	9.09619i	−0.455174	−	0.413891i
$484$	13.3271	−	14.0937i	0.605777	−	0.640622i
$485$	27.4939	+	47.6208i	1.24843	+	2.16235i
$486$	17.5372	+	13.3584i	0.795505	+	0.605947i
$487$	−14.7575	−	8.52025i	−0.668726	−	0.386089i	0.126868	−	0.991920i	$-0.459508\pi$
$487$	−14.7575	−	8.52025i	−0.668726	−	0.386089i	−0.795594	+	0.605830i	$0.792841\pi$
$488$	12.0428	−	10.0701i	0.545154	−	0.455852i
$489$	−19.5055	−	0.0406976i	−0.882071	−	0.00184041i
$490$	29.3508	+	0.523045i	1.32593	+	0.0236288i
$491$	8.58757	+	4.95803i	0.387551	+	0.223753i	0.681099	−	0.732192i	$-0.261502\pi$
$491$	8.58757	+	4.95803i	0.387551	+	0.223753i	−0.293547	+	0.955945i	$0.594836\pi$
$492$	−5.79845	+	24.1186i	−0.261414	+	1.08735i
$493$		−	25.8212i		−	1.16293i
$494$	2.15443	+	5.00236i	0.0969323	+	0.225067i
$495$	8.81033	−	5.03774i	0.395995	−	0.226430i
$496$	20.9966	+	32.0828i	0.942775	+	1.44056i
$497$	−3.42187	+	15.8793i	−0.153492	+	0.712286i
$498$	−1.61069	−	3.76144i	−0.0721767	−	0.168554i
$499$	−26.3326			−1.17881			−0.589405	−	0.807838i	$-0.700638\pi$
$499$	−26.3326			−1.17881			−0.589405	+	0.807838i	$0.700638\pi$
$500$	−4.91718	+	5.20002i	−0.219903	+	0.232552i
$501$	−3.47935	−	6.05555i	−0.155446	−	0.270542i
$502$	16.4808	+	38.2667i	0.735574	+	1.70793i
$503$	41.7727			1.86255			0.931275	−	0.364316i	$-0.118697\pi$
$503$	41.7727			1.86255			0.931275	+	0.364316i	$0.118697\pi$
$504$	−0.978407	+	22.4286i	−0.0435817	+	0.999050i
$505$	0.0955764			0.00425309
$506$	−1.88295	−	4.37201i	−0.0837071	−	0.194359i
$507$	19.1358	+	0.0399262i	0.849851	+	0.00177318i
$508$	0.0128303	+	0.0121324i	0.000569253	+	0.000538290i
$509$	4.34130			0.192425			0.0962125	−	0.995361i	$-0.469327\pi$
$509$	4.34130			0.192425			0.0962125	+	0.995361i	$0.469327\pi$
$510$	30.2802	−	40.4486i	1.34083	−	1.79109i
$511$	12.6534	+	11.4577i	0.559754	+	0.506857i
$512$	19.6537	−	11.2131i	0.868578	−	0.495552i
$513$	7.08414	+	12.4494i	0.312773	+	0.549655i
$514$	−7.34255	−	17.0486i	−0.323866	−	0.751983i
$515$		−	43.4231i		−	1.91345i
$516$	−1.75771	+	1.85106i	−0.0773787	+	0.0814884i
$517$	7.17135	+	4.14038i	0.315396	+	0.182094i
$518$	16.8408	+	19.2778i	0.739941	+	0.847020i
$519$	18.1516	+	31.5915i	0.796765	+	1.38671i
$520$	8.98931	−	7.51678i	0.394207	−	0.329633i
$521$	−10.7982	−	6.23437i	−0.473080	−	0.273133i	0.244448	−	0.969662i	$-0.421393\pi$
$521$	−10.7982	−	6.23437i	−0.473080	−	0.273133i	−0.717528	+	0.696530i	$0.754727\pi$
$522$	1.90245	−	15.6332i	0.0832682	−	0.684245i
$523$	8.96085	+	15.5207i	0.391831	+	0.678671i	0.992691	−	0.120683i	$-0.0385086\pi$
$523$	8.96085	+	15.5207i	0.391831	+	0.678671i	−0.600860	+	0.799354i	$0.705175\pi$
$524$	−15.7282	−	14.8727i	−0.687088	−	0.649715i
$525$	−12.8610	−	11.6945i	−0.561299	−	0.510391i
$526$	−26.8800	+	11.5767i	−1.17202	+	0.504769i
$527$	−66.6800			−2.90463
$528$	−3.57809	+	7.04768i	−0.155716	+	0.306711i
$529$	−14.2948			−0.621511
$530$	4.14280	−	35.2696i	0.179952	−	1.53201i
$531$	34.3789	+	20.0404i	1.49192	+	0.869680i
$532$	−6.29339	+	13.1592i	−0.272853	+	0.570525i
$533$	−5.00223	−	8.66411i	−0.216670	−	0.375284i
$534$	−15.3581	−	35.8656i	−0.664608	−	1.55206i
$535$	−4.19019	+	2.41921i	−0.181158	+	0.104591i
$536$	0.238874	−	0.0416991i	0.0103178	−	0.00180113i
$537$	−32.1477	+	18.4712i	−1.38728	+	0.797090i
$538$	0.589939	−	5.02243i	0.0254341	−	0.216532i
$539$	3.28904	−	7.27710i	0.141669	−	0.313447i
$540$	21.3130	−	22.2582i	0.917166	−	0.957841i
$541$	−18.7187	+	10.8073i	−0.804781	+	0.464641i	−0.845140	−	0.534544i	$-0.820483\pi$
$541$	−18.7187	+	10.8073i	−0.804781	+	0.464641i	0.0403589	+	0.999185i	$0.487150\pi$
$542$	−9.99302	+	13.4070i	−0.429237	+	0.575880i
$543$	37.8606	+	21.9643i	1.62475	+	0.942578i
$544$	−2.39992	+	39.2770i	−0.102896	+	1.68399i
$545$	10.4798	+	6.05050i	0.448904	+	0.259175i
$546$	−5.94258	−	6.83126i	−0.254319	−	0.292351i
$547$	−3.38402	−	5.86130i	−0.144690	−	0.250611i	0.784567	−	0.620044i	$-0.212885\pi$
$547$	−3.38402	−	5.86130i	−0.144690	−	0.250611i	−0.929257	+	0.369433i	$0.879552\pi$
$548$	−1.16118	−	1.09802i	−0.0496030	−	0.0469050i
$549$	−0.0694814	+	16.6504i	−0.00296539	+	0.710623i
$550$	−2.42081	−	5.62088i	−0.103224	−	0.239675i
$551$	5.11624	−	8.86159i	0.217959	−	0.377517i
$552$	−9.24892	−	11.1078i	−0.393660	−	0.472779i
$553$	−5.81253	+	6.41914i	−0.247174	+	0.272970i
$554$	−6.11484	−	14.1980i	−0.259795	−	0.603217i
$555$	0.0733136	−	35.1377i	0.00311199	−	1.49151i
$556$	−9.81038	−	32.9054i	−0.416053	−	1.39550i
$557$	−16.1137	+	27.9097i	−0.682759	+	1.18257i	0.291377	+	0.956608i	$0.405887\pi$
$557$	−16.1137	+	27.9097i	−0.682759	+	1.18257i	−0.974135	+	0.225965i	$0.927447\pi$
$558$	−40.3707	−	4.91285i	−1.70903	−	0.207978i
$559$		−	1.02951i		−	0.0435435i
$560$	30.9995	+	4.88658i	1.30997	+	0.206496i
$561$	−6.84784	−	11.9182i	−0.289116	−	0.503186i
$562$	−15.2765	+	20.4956i	−0.644402	+	0.864553i
$563$	16.5523	−	9.55646i	0.697595	−	0.402757i	−0.108856	−	0.994058i	$-0.534719\pi$
$563$	16.5523	−	9.55646i	0.697595	−	0.402757i	0.806451	+	0.591301i	$0.201385\pi$
$564$	24.4476	+	5.87754i	1.02943	+	0.247489i
$565$	−2.00706	−	1.15878i	−0.0844376	−	0.0487501i
$566$	27.7259	+	20.6657i	1.16541	+	0.868644i
$567$	−17.5168	−	16.1295i	−0.735636	−	0.677377i
$568$	−5.96720	+	16.3080i	−0.250378	+	0.684267i
$569$	−23.8566	−	13.7736i	−1.00012	−	0.577420i	−0.0918367	−	0.995774i	$-0.529274\pi$
$569$	−23.8566	−	13.7736i	−1.00012	−	0.577420i	−0.908284	+	0.418354i	$0.862607\pi$
$570$	18.4064	−	7.88184i	0.770961	−	0.330134i
$571$	4.37151	+	7.57168i	0.182942	+	0.316865i	0.942881	−	0.333129i	$-0.108105\pi$
$571$	4.37151	+	7.57168i	0.182942	+	0.316865i	−0.759939	+	0.649994i	$0.774771\pi$
$572$	−0.910776	−	3.05487i	−0.0380815	−	0.127731i
$573$	−17.2364	−	29.9988i	−0.720063	−	1.25322i
$574$	8.66119	−	25.3548i	0.361511	−	1.05829i
$575$	11.1919			0.466735
$576$	−4.34687	+	23.6031i	−0.181119	+	0.983461i
$577$	−22.4732	+	38.9247i	−0.935572	+	1.62046i	−0.161960	+	0.986797i	$0.551782\pi$
$577$	−22.4732	+	38.9247i	−0.935572	+	1.62046i	−0.773612	+	0.633660i	$0.781552\pi$
$578$	−35.5916	−	26.5285i	−1.48041	−	1.10344i
$579$	−13.2296	−	0.0276031i	−0.549804	−	0.00114715i
$580$	−21.4153	−	5.10129i	−0.889221	−	0.211820i
$581$	1.35394	+	4.20714i	0.0561709	+	0.174542i
$582$	41.7549	−	17.8799i	1.73080	−	0.741146i
$583$	−8.36644	−	4.83036i	−0.346502	−	0.200053i
$584$	11.7061	+	13.9993i	0.484402	+	0.579296i
$585$	−0.0518640	+	12.4286i	−0.00214431	+	0.513860i
$586$	−0.212981	+	1.81321i	−0.00879818	+	0.0749031i
$587$	−8.03849	+	4.64103i	−0.331784	+	0.191556i	−0.656633	−	0.754210i	$-0.728020\pi$
$587$	−8.03849	+	4.64103i	−0.331784	+	0.191556i	0.324849	+	0.945766i	$0.394687\pi$
$588$	3.30761	−	24.0221i	0.136404	−	0.990653i
$589$	−22.8840	−	13.2121i	−0.942918	−	0.544394i
$590$	33.2433	−	44.6004i	1.36860	−	1.83617i
$591$	−14.6908	+	25.3230i	−0.604298	+	1.04165i
$592$	14.9853	+	22.8975i	0.615891	+	0.941081i
$593$	25.0584	−	14.4675i	1.02902	−	0.594107i	0.112319	−	0.993672i	$-0.464172\pi$
$593$	25.0584	−	14.4675i	1.02902	−	0.594107i	0.916705	+	0.399565i	$0.130839\pi$
$594$	−3.26785	−	7.72028i	−0.134082	−	0.316767i
$595$	−36.6318	+	40.4548i	−1.50176	+	1.65848i
$596$	−14.7791	+	15.6292i	−0.605374	+	0.640196i
$597$	−15.5294	+	8.92278i	−0.635578	+	0.365185i
$598$	5.78976	+	0.680070i	0.236761	+	0.0278101i
$599$	−4.68938	−	8.12225i	−0.191603	−	0.331866i	0.754179	−	0.656669i	$-0.228035\pi$
$599$	−4.68938	−	8.12225i	−0.191603	−	0.331866i	−0.945782	+	0.324803i	$0.894702\pi$
$600$	−11.8909	−	14.2808i	−0.485444	−	0.583010i
$601$	−1.59314	−	2.75940i	−0.0649855	−	0.112558i	0.831702	−	0.555222i	$-0.187367\pi$
$601$	−1.59314	−	2.75940i	−0.0649855	−	0.112558i	−0.896688	+	0.442664i	$0.854033\pi$
$602$	2.07643	−	1.81394i	0.0846292	−	0.0739305i
$603$	−0.129526	+	0.222200i	−0.00527472	+	0.00904866i
$604$	−18.6136	−	17.6011i	−0.757375	−	0.716179i
$605$	28.7594			1.16923
$606$	0.00937377	−	0.0783913i	0.000380783	−	0.00318443i
$607$		−	8.80901i		−	0.357547i	−0.983890	−	0.178773i	$-0.942787\pi$
$607$		−	8.80901i		−	0.357547i	0.983890	−	0.178773i	$-0.0572129\pi$
$608$	−8.60604	+	13.0040i	−0.349021	+	0.527382i
$609$	−3.61802	+	16.6211i	−0.146609	+	0.673521i
$610$	23.1165	+	2.71529i	0.935961	+	0.109939i
$611$	−8.78229	+	5.07045i	−0.355293	+	0.205129i
$612$	−30.2060	−	28.8027i	−1.22101	−	1.16428i
$613$	−7.60056	−	4.38818i	−0.306984	−	0.177237i	0.338592	−	0.940933i	$-0.390049\pi$
$613$	−7.60056	−	4.38818i	−0.306984	−	0.177237i	−0.645576	+	0.763696i	$0.723383\pi$
$614$	31.9277	−	13.7507i	1.28850	−	0.554933i
$615$	−31.8898	+	18.3230i	−1.28592	+	0.738853i
$616$	4.55670	−	7.21949i	0.183595	−	0.290882i
$617$	13.5521	+	7.82430i	0.545587	+	0.314995i	0.747340	−	0.664442i	$-0.231331\pi$
$617$	13.5521	+	7.82430i	0.545587	+	0.314995i	−0.201753	+	0.979436i	$0.564664\pi$
$618$	−35.6155	−	4.25878i	−1.43266	−	0.171313i
$619$	36.9450			1.48495			0.742473	−	0.669877i	$-0.233653\pi$
$619$	36.9450			1.48495			0.742473	+	0.669877i	$0.233653\pi$
$620$	−13.1735	+	55.3023i	−0.529059	+	2.22099i
$621$	15.3308	+	0.0959624i	0.615202	+	0.00385084i
$622$	−2.01378	−	1.50099i	−0.0807453	−	0.0601842i
$623$	12.9099	+	40.1155i	0.517226	+	1.60719i
$624$	−5.28359	−	8.11021i	−0.211513	−	0.324668i
$625$	−29.5774			−1.18310
$626$	3.84879	−	32.7666i	0.153829	−	1.30962i
$627$	0.0113651	−	5.44705i	0.000453878	−	0.217534i
$628$	2.36340	−	9.92158i	0.0943100	−	0.395914i
$629$	−47.5895			−1.89752
$630$	−25.1590	+	21.7940i	−1.00236	+	0.868294i
$631$			28.0831i			1.11797i	0.829178	+	0.558985i	$0.188809\pi$
$631$			28.0831i			1.11797i	−0.829178	+	0.558985i	$0.811191\pi$
$632$	−7.10193	+	5.93857i	−0.282499	+	0.236223i
$633$	9.22374	+	16.0533i	0.366611	+	0.638060i
$634$	−1.72417	+	14.6787i	−0.0684756	+	0.582966i
$635$			0.0261814i			0.00103898i
$636$	−28.5217	−	6.85702i	−1.13096	−	0.271898i
$637$	5.70390	+	7.94414i	0.225997	+	0.314758i
$638$	−3.57902	+	4.80174i	−0.141695	+	0.190103i
$639$	−9.14275	−	15.9894i	−0.361682	−	0.632532i
$640$	32.1010	+	9.75009i	1.26890	+	0.385406i
$641$		−	26.7208i		−	1.05541i	−0.849428	−	0.527704i	$-0.823053\pi$
$641$		−	26.7208i		−	1.05541i	0.849428	−	0.527704i	$-0.176947\pi$
$642$	1.57327	+	3.67404i	0.0620918	+	0.145003i
$643$	−0.337904	+	0.585267i	−0.0133256	+	0.0230807i	−0.872611	−	0.488415i	$-0.837575\pi$
$643$	−0.337904	+	0.585267i	−0.0133256	+	0.0230807i	0.859286	+	0.511496i	$0.170908\pi$
$644$	8.82960	+	12.8757i	0.347935	+	0.507375i
$645$	−3.78472	−	0.00789668i	−0.149023	−	0.000310931i
$646$	−10.7269	−	24.9068i	−0.422044	−	0.979944i
$647$	−19.5544	+	33.8692i	−0.768761	+	1.33153i	0.169473	+	0.985535i	$0.445793\pi$
$647$	−19.5544	+	33.8692i	−0.768761	+	1.33153i	−0.938235	+	0.345999i	$0.887540\pi$
$648$	−16.1658	−	19.6638i	−0.635053	−	0.772469i
$649$	−7.56633	−	13.1053i	−0.297004	−	0.514427i
$650$	7.44361	+	0.874333i	0.291963	+	0.0342942i
$651$	42.9220	+	9.34309i	1.68224	+	0.366184i
$652$	21.9101	+	5.21916i	0.858064	+	0.204398i
$653$	23.1715			0.906770			0.453385	−	0.891315i	$-0.350216\pi$
$653$	23.1715			0.906770			0.453385	+	0.891315i	$0.350216\pi$
$654$	5.99041	−	8.00205i	0.234244	−	0.312905i
$655$		−	32.0947i		−	1.25404i
$656$	12.9134	−	25.5672i	0.504183	−	0.998232i
$657$	−19.3555	−	0.0807693i	−0.755129	−	0.00315111i
$658$	−25.7007	−	8.77932i	−1.00192	−	0.342254i
$659$	14.8803	−	8.59117i	0.579656	−	0.334664i	−0.181341	−	0.983420i	$-0.558044\pi$
$659$	14.8803	−	8.59117i	0.579656	−	0.334664i	0.760997	+	0.648756i	$0.224710\pi$
$660$	−11.2374	+	3.32481i	−0.437417	+	0.129418i
$661$	4.83713	−	2.79272i	0.188143	−	0.108624i	−0.402970	−	0.915213i	$-0.632022\pi$
$661$	4.83713	−	2.79272i	0.188143	−	0.108624i	0.591113	+	0.806589i	$0.298689\pi$
$662$	−3.61587	+	30.7836i	−0.140535	+	1.19644i
$663$	16.8330	+	0.0351216i	0.653741	+	0.00136401i
$664$	0.812497	+	4.65441i	0.0315310	+	0.180626i
$665$	−20.5875	+	6.62545i	−0.798348	+	0.256924i
$666$	−28.8126	−	3.50631i	−1.11647	−	0.135867i
$667$	−5.47600	−	9.48471i	−0.212032	−	0.367249i
$668$	2.30408	+	7.72821i	0.0891476	+	0.299013i
$669$	0.0161841	−	7.75671i	0.000625713	−	0.299892i
$670$	0.288263	+	0.214860i	0.0111366	+	0.00830075i
$671$	3.16593	−	5.48356i	0.122220	−	0.211690i
$672$	7.04826	−	24.9464i	0.271893	−	0.962328i
$673$	−23.7821	−	41.1918i	−0.916732	−	1.58783i	−0.804346	−	0.594162i	$-0.797484\pi$
$673$	−23.7821	−	41.1918i	−0.916732	−	1.58783i	−0.112386	−	0.993665i	$-0.535849\pi$
$674$	3.69046	−	31.4186i	0.142151	−	1.21020i
$675$	19.7100	+	0.123374i	0.758640	+	0.00474868i
$676$	−21.4947	−	5.12023i	−0.826721	−	0.196932i
$677$	−9.49277	+	16.4420i	−0.364837	+	0.631916i	−0.988750	−	0.149578i	$-0.952209\pi$
$677$	−9.49277	+	16.4420i	−0.364837	+	0.631916i	0.623913	+	0.781494i	$0.285542\pi$
$678$	−1.14727	+	1.53253i	−0.0440606	+	0.0588566i
$679$	−46.7025	+	15.0298i	−1.79228	+	0.576791i
$680$	−44.7578	+	37.4261i	−1.71638	+	1.43522i
$681$	−15.1871	−	8.81056i	−0.581970	−	0.337621i
$682$	12.3999	+	9.24237i	0.474817	+	0.353909i
$683$	−11.9017	−	6.87144i	−0.455405	−	0.262928i	0.254705	−	0.967019i	$-0.418022\pi$
$683$	−11.9017	−	6.87144i	−0.455405	−	0.262928i	−0.710110	+	0.704090i	$0.751355\pi$
$684$	−4.65942	−	15.8699i	−0.178157	−	0.606801i
$685$		−	2.36948i		−	0.0905332i
$686$	−5.97275	+	25.5015i	−0.228041	+	0.973652i
$687$	−9.44922	−	5.48183i	−0.360510	−	0.209145i
$688$	2.46631	−	1.61408i	0.0940272	−	0.0615361i
$689$	10.2458	−	5.91543i	0.390335	−	0.225360i
$690$	2.54451	−	21.2793i	0.0968679	−	0.810091i
$691$	−12.7899	+	22.1528i	−0.486552	+	0.842733i	−0.999880	−	0.0154593i	$-0.995079\pi$
$691$	−12.7899	+	22.1528i	−0.486552	+	0.842733i	0.513328	+	0.858192i	$0.328412\pi$
$692$	−12.0203	−	40.3177i	−0.456942	−	1.53265i
$693$	2.73801	+	8.63125i	0.104008	+	0.327874i
$694$	21.9553	−	29.4561i	0.833413	−	1.11814i
$695$	25.4550	−	44.0894i	0.965564	−	1.67241i
$696$	−6.28439	+	17.0644i	−0.238209	+	0.646824i
$697$	24.9061	+	43.1386i	0.943386	+	1.63399i
$698$	−0.537411	+	0.721010i	−0.0203413	+	0.0272906i
$699$	−0.0801767	+	38.4271i	−0.00303256	+	1.45344i
$700$	11.3518	+	16.5537i	0.429058	+	0.625672i
$701$	10.6279			0.401412			0.200706	−	0.979652i	$-0.435676\pi$
$701$	10.6279			0.401412			0.200706	+	0.979652i	$0.435676\pi$
$702$	10.1888	+	1.26149i	0.384552	+	0.0476119i
$703$	−16.3323	−	9.42946i	−0.615984	−	0.355639i
$704$	5.89040	−	6.97136i	0.222003	−	0.262743i
$705$	18.5729	+	32.3247i	0.699495	+	1.21742i
$706$	16.0254	+	37.2094i	0.603124	+	1.40039i
$707$	−0.0179638	+	0.0833619i	−0.000675599	+	0.00313515i
$708$	−33.3207	−	31.6402i	−1.25227	−	1.18911i
$709$	41.8800	+	24.1794i	1.57284	+	0.908077i	0.995819	+	0.0913437i	$0.0291162\pi$
$709$	41.8800	+	24.1794i	1.57284	+	0.908077i	0.577016	+	0.816733i	$0.304217\pi$
$710$	−23.6473	+	10.1845i	−0.887467	+	0.382217i
$711$	0.0409747	−	9.81913i	0.00153667	−	0.368246i
$712$	7.74722	+	44.3802i	0.290339	+	1.66322i
$713$	−24.4931	+	14.1411i	−0.917274	+	0.529588i
$714$	29.5881	+	34.0129i	1.10731	+	1.27290i
$715$	2.36319	−	4.09317i	0.0883785	−	0.153076i
$716$	41.0276	−	12.2319i	1.53327	−	0.457129i
$717$	−1.80858	−	3.14769i	−0.0675425	−	0.117553i
$718$	37.6396	+	28.0550i	1.40470	+	1.04700i
$719$	6.31109	+	10.9311i	0.235364	+	0.407663i	0.959378	−	0.282122i	$-0.0910384\pi$
$719$	6.31109	+	10.9311i	0.235364	+	0.407663i	−0.724014	+	0.689785i	$0.757705\pi$
$720$	−29.8557	+	19.3616i	−1.11265	+	0.721563i
$721$	37.8738	+	8.16149i	1.41049	+	0.303950i
$722$	−1.88094	+	16.0134i	−0.0700015	+	0.595956i
$723$	−1.13058	+	1.94883i	−0.0420469	+	0.0724777i
$724$	−36.7232	−	34.7258i	−1.36481	−	1.29057i
$725$	−7.04023	−	12.1940i	−0.261468	−	0.452875i
$726$	2.82061	−	23.5883i	0.104683	−	0.875444i
$727$	2.18007	−	1.25867i	0.0808544	−	0.0466813i	−0.459028	−	0.888422i	$-0.651802\pi$
$727$	2.18007	−	1.25867i	0.0808544	−	0.0466813i	0.539882	+	0.841741i	$0.318469\pi$
$728$	4.86659	+	9.25330i	0.180368	+	0.342950i
$729$	26.9979	+	0.337998i	0.999922	+	0.0125184i
$730$	−3.15641	+	26.8721i	−0.116824	+	0.994579i
$731$			5.12591i			0.189589i
$732$	4.49425	−	18.6938i	0.166112	−	0.690942i
$733$		−	33.9578i		−	1.25426i	−0.778915	−	0.627130i	$-0.784229\pi$
$733$		−	33.9578i		−	1.25426i	0.778915	−	0.627130i	$-0.215771\pi$
$734$	10.2539	+	23.8084i	0.378477	+	0.878784i
$735$	29.2484	−	20.9080i	1.07884	−	0.771203i
$736$	7.44809	+	14.9363i	0.274540	+	0.550560i
$737$	0.0847027	−	0.0489031i	0.00312006	−	0.00180137i
$738$	11.9008	+	27.9529i	0.438074	+	1.02896i
$739$	−5.29173	+	9.16555i	−0.194660	+	0.337160i	−0.946789	−	0.321855i	$-0.895694\pi$
$739$	−5.29173	+	9.16555i	−0.194660	+	0.337160i	0.752129	+	0.659016i	$0.229027\pi$
$740$	−9.40191	+	39.4693i	−0.345621	+	1.45092i
$741$	5.76999	+	3.34738i	0.211966	+	0.122969i
$742$	29.9836	+	10.2424i	1.10073	+	0.376009i
$743$	20.5354	−	35.5684i	0.753371	−	1.30488i	−0.192809	−	0.981236i	$-0.561760\pi$
$743$	20.5354	−	35.5684i	0.753371	−	1.30488i	0.946180	−	0.323640i	$-0.104907\pi$
$744$	44.0667	+	16.2287i	1.61556	+	0.594972i
$745$	−31.8927			−1.16846
$746$	−14.2038	−	32.9797i	−0.520038	−	1.20747i
$747$	−4.32950	−	2.52379i	−0.158408	−	0.0923406i
$748$	4.53476	+	15.2102i	0.165807	+	0.556140i
$749$	−1.32248	−	4.10939i	−0.0483225	−	0.150154i
$750$	−1.04070	+	8.70317i	−0.0380008	+	0.317795i
$751$			1.11125i			0.0405499i	0.999794	+	0.0202750i	$0.00645417\pi$
$751$			1.11125i			0.0405499i	−0.999794	+	0.0202750i	$0.993546\pi$
$752$	−25.9159	−	13.0895i	−0.945057	−	0.477326i
$753$	44.1389	+	25.6065i	1.60851	+	0.933154i
$754$	−2.90106	−	6.73597i	−0.105650	−	0.245309i
$755$		−	37.9826i		−	1.38233i
$756$	15.4078	+	22.7728i	0.560378	+	0.828237i
$757$			11.5604i			0.420171i	0.977683	+	0.210086i	$0.0673743\pi$
$757$			11.5604i			0.420171i	−0.977683	+	0.210086i	$0.932626\pi$
$758$	16.1774	−	6.96730i	0.587588	−	0.253064i
$759$	−5.04291	−	2.92557i	−0.183046	−	0.106191i
$760$	−22.7761	+	3.97592i	−0.826177	+	0.144222i
$761$			9.19900i			0.333463i	0.986002	+	0.166732i	$0.0533214\pi$
$761$			9.19900i			0.333463i	−0.986002	+	0.166732i	$0.946679\pi$
$762$	0.0214738	+	0.00256777i	0.000777915	+	9.30204e-5i
$763$	−7.24696	+	8.00328i	−0.262357	+	0.289738i
$764$	11.4143	+	38.2850i	0.412953	+	1.38510i
$765$	0.258231	−	61.8822i	0.00933636	−	2.23735i
$766$	18.3067	−	7.88437i	0.661448	−	0.284874i
$767$	18.5320			0.669151
$768$	11.1453	−	25.3729i	0.402172	−	0.915564i
$769$	−0.635492	+	1.10070i	−0.0229164	+	0.0396924i	−0.877256	−	0.480022i	$-0.840628\pi$
$769$	−0.635492	+	1.10070i	−0.0229164	+	0.0396924i	0.854340	+	0.519715i	$0.173962\pi$
$770$	12.4194	−	2.44558i	0.447566	−	0.0881324i
$771$	−19.6648	−	11.4083i	−0.708211	−	0.410859i
$772$	14.8605	+	3.53989i	0.534840	+	0.127403i
$773$	12.9371	−	22.4077i	0.465315	−	0.805949i	−0.533901	−	0.845547i	$-0.679274\pi$
$773$	12.9371	−	22.4077i	0.465315	−	0.805949i	0.999216	+	0.0395978i	$0.0126077\pi$
$774$	−0.377667	+	3.10343i	−0.0135750	+	0.111551i
$775$	−31.4896	+	18.1805i	−1.13114	+	0.653064i
$776$	−51.6675	+	9.01934i	−1.85476	+	0.323776i
$777$	30.6334	+	6.66816i	1.09897	+	0.239219i
$778$	0.947505	−	0.408074i	0.0339697	−	0.0146301i
$779$			19.7397i			0.707249i
$780$	3.35471	−	13.9539i	0.120118	−	0.499629i
$781$			7.00428i			0.250633i
$782$	−28.8272	−	3.38607i	−1.03086	−	0.121086i
$783$	−9.53921	−	16.7638i	−0.340903	−	0.599091i
$784$	−10.0885	+	26.1194i	−0.360304	+	0.932835i
$785$	13.0961	−	7.56103i	0.467419	−	0.269865i
$786$	−26.3239	−	3.14772i	−0.938943	−	0.112276i
$787$	13.3740	+	23.1645i	0.476733	+	0.825726i	0.999645	−	0.0266613i	$-0.00848756\pi$
$787$	13.3740	+	23.1645i	0.476733	+	0.825726i	−0.522912	+	0.852387i	$0.675154\pi$
$788$	23.2263	−	24.5623i	0.827402	−	0.874995i
$789$	−17.9870	+	31.0048i	−0.640354	+	1.10380i
$790$	−13.6323	−	1.60126i	−0.485016	−	0.0569704i
$791$	1.38792	−	1.53277i	0.0493487	−	0.0544989i
$792$	1.62487	+	9.54298i	0.0577371	+	0.339095i
$793$	3.87711	+	6.71536i	0.137680	+	0.238469i
$794$	−19.4113	+	26.0430i	−0.688883	+	0.924230i
$795$	−21.6680	−	37.7116i	−0.768485	−	1.33749i
$796$	19.8190	−	5.90881i	0.702465	−	0.209432i
$797$	−17.3854	+	30.1124i	−0.615822	+	1.06663i	0.374418	+	0.927260i	$0.377842\pi$
$797$	−17.3854	+	30.1124i	−0.615822	+	1.06663i	−0.990240	+	0.139374i	$0.955491\pi$
$798$	3.41502	+	17.5355i	0.120891	+	0.620752i
$799$	43.7270	−	25.2458i	1.54695	−	0.893132i
$800$	9.57566	+	19.2029i	0.338551	+	0.678926i
$801$	−41.2822	−	24.0645i	−1.45863	−	0.850278i
$802$	−10.1021	−	23.4560i	−0.356717	−	0.828260i
$803$	6.37442	+	3.68027i	0.224948	+	0.129874i
$804$	0.204499	−	0.215360i	0.00721211	−	0.00759516i
$805$	−4.87628	+	22.6286i	−0.171866	+	0.797554i
$806$	−17.3948	+	7.49164i	−0.612706	+	0.263882i
$807$	−3.08554	−	5.37016i	−0.108616	−	0.189039i
$808$	−0.0313261	+	0.0856121i	−0.00110205	+	0.00301182i
$809$	−23.2688	−	13.4343i	−0.818089	−	0.472324i	0.0316683	−	0.999498i	$-0.489918\pi$
$809$	−23.2688	−	13.4343i	−0.818089	−	0.472324i	−0.849757	+	0.527175i	$0.823251\pi$
$810$	4.71570	−	37.4469i	0.165693	−	1.31575i
$811$	8.08609			0.283941			0.141971	−	0.989871i	$-0.454656\pi$
$811$	8.08609			0.283941			0.141971	+	0.989871i	$0.454656\pi$
$812$	8.47441	−	17.7197i	0.297394	−	0.621838i
$813$	−0.0427298	+	20.4795i	−0.00149860	+	0.718248i
$814$	8.84981	+	6.59628i	0.310186	+	0.231200i
$815$	16.6972	+	28.9204i	0.584877	+	1.01304i
$816$	26.3070	+	40.3808i	0.920930	+	1.41361i
$817$	−1.01566	+	1.75917i	−0.0355333	+	0.0615455i
$818$	6.08363	+	4.53449i	0.212709	+	0.158545i
$819$	−10.8305	−	2.38123i	−0.378449	−	0.0832068i
$820$	40.6984	−	12.1338i	1.42125	−	0.423730i
$821$	−12.9532	+	22.4356i	−0.452070	+	0.783008i	−0.998514	−	0.0544872i	$-0.982648\pi$
$821$	−12.9532	+	22.4356i	−0.452070	+	0.783008i	0.546445	+	0.837495i	$0.315981\pi$
$822$	−1.94344	−	0.232390i	−0.0677852	−	0.00810553i
$823$	−38.3225	+	22.1255i	−1.33584	+	0.771246i	−0.986187	−	0.165635i	$-0.947033\pi$
$823$	−38.3225	+	22.1255i	−1.33584	+	0.771246i	−0.349650	+	0.936880i	$0.613699\pi$
$824$	38.8961	+	14.2324i	1.35501	+	0.495808i
$825$	−6.48343	−	3.76127i	−0.225724	−	0.130950i
$826$	32.6524	+	37.3776i	1.13612	+	1.30053i
$827$		−	27.9309i		−	0.971251i	−0.874167	−	0.485626i	$-0.838592\pi$
$827$		−	27.9309i		−	0.971251i	0.874167	−	0.485626i	$-0.161408\pi$
$828$	−17.2037	−	4.17400i	−0.597869	−	0.145056i
$829$	−25.8326	−	14.9145i	−0.897205	−	0.518001i	−0.0209125	−	0.999781i	$-0.506657\pi$
$829$	−25.8326	−	14.9145i	−0.897205	−	0.518001i	−0.876292	+	0.481780i	$0.839990\pi$
$830$	−4.18649	+	5.61674i	−0.145315	+	0.194960i
$831$	−16.3768	−	9.50075i	−0.568104	−	0.329577i
$832$	3.78679	+	10.5158i	0.131283	+	0.364571i
$833$	−28.3997	−	39.5539i	−0.983992	−	1.37046i
$834$	−33.6654	−	25.2022i	−1.16574	−	0.872682i
$835$	−5.97841	+	10.3549i	−0.206891	+	0.358346i
$836$	−1.45748	+	6.11853i	−0.0504082	+	0.211614i
$837$	−43.2906	+	24.6338i	−1.49634	+	0.851470i
$838$	9.83363	+	1.15507i	0.339697	+	0.0399011i
$839$	−9.74941	−	16.8865i	−0.336587	−	0.582986i	0.647201	−	0.762319i	$-0.275939\pi$
$839$	−9.74941	−	16.8865i	−0.336587	−	0.582986i	−0.983788	+	0.179333i	$0.942606\pi$
$840$	34.0547	−	17.8198i	1.17500	−	0.614842i
$841$	7.61068	−	13.1821i	0.262437	−	0.454555i
$842$	19.1020	−	25.6280i	0.658300	−	0.883199i
$843$	−0.0653219	+	31.3074i	−0.00224981	+	1.07829i
$844$	−6.10812	−	20.4875i	−0.210250	−	0.705208i
$845$	−16.3807	−	28.3722i	−0.563513	−	0.976033i
$846$	28.3342	−	12.0631i	0.974148	−	0.414738i
$847$	−5.40539	+	25.0840i	−0.185732	+	0.861896i
$848$	30.2348	+	15.2709i	1.03827	+	0.524403i
$849$	42.3519	+	0.0883658i	1.45351	+	0.00303271i
$850$	−37.0618	−	4.35331i	−1.27121	−	0.149317i
$851$	−17.4807	+	10.0925i	−0.599232	+	0.345967i
$852$	6.03402	+	20.3943i	0.206722	+	0.698696i
$853$	23.8467	−	13.7679i	0.816495	−	0.471404i	−0.0327113	−	0.999465i	$-0.510414\pi$
$853$	23.8467	−	13.7679i	0.816495	−	0.471404i	0.849206	+	0.528061i	$0.177081\pi$
$854$	−6.71309	+	19.6520i	−0.229717	+	0.672476i
$855$	12.3500	−	21.1862i	0.422363	−	0.724554i
$856$	−0.793619	−	4.54626i	−0.0271253	−	0.155388i
$857$		−	3.68480i		−	0.125870i	−0.998018	−	0.0629352i	$-0.979954\pi$
$857$		−	3.68480i		−	0.125870i	0.998018	−	0.0629352i	$-0.0200461\pi$
$858$	−3.12543	−	2.33972i	−0.106700	−	0.0798769i
$859$	9.80949			0.334695			0.167348	−	0.985898i	$-0.446480\pi$
$859$	9.80949			0.334695			0.167348	+	0.985898i	$0.446480\pi$
$860$	4.25127	+	1.01269i	0.144967	+	0.0345324i
$861$	−9.98757	−	31.2582i	−0.340375	−	1.06528i
$862$	−0.160430	+	1.36582i	−0.00546426	+	0.0465199i
$863$	10.0742	+	17.4490i	0.342930	+	0.593972i	0.984975	−	0.172695i	$-0.0552474\pi$
$863$	10.0742	+	17.4490i	0.342930	+	0.593972i	−0.642046	+	0.766666i	$0.721914\pi$
$864$	12.9522	+	26.3864i	0.440641	+	0.897683i
$865$	31.1890	−	54.0210i	1.06046	−	1.83677i
$866$	−16.0153	+	6.89752i	−0.544223	+	0.234387i
$867$	−54.3670	−	0.113435i	−1.84640	−	0.00385245i
$868$	−45.7588	−	21.8841i	−1.55316	−	0.742796i
$869$	−1.86702	+	3.23377i	−0.0633343	+	0.109698i
$870$	−24.7853	+	10.6133i	−0.840301	+	0.359826i
$871$			0.119777i			0.00405849i
$872$	−8.85455	+	7.40410i	−0.299853	+	0.250734i
$873$	28.0160	−	48.0609i	0.948198	−	1.62661i
$874$	−9.22232	−	6.87393i	−0.311950	−	0.232514i
$875$	1.99438	−	9.25502i	0.0674223	−	0.312877i
$876$	21.7308	+	5.22439i	0.734215	+	0.176516i
$877$			21.2693i			0.718214i	0.933296	+	0.359107i	$0.116919\pi$
$877$			21.2693i			0.718214i	−0.933296	+	0.359107i	$0.883081\pi$
$878$	15.1538	+	1.77998i	0.511418	+	0.0600715i
$879$	1.11395	+	1.93875i	0.0375727	+	0.0653925i
$880$	13.5108	−	0.756020i	0.455448	−	0.0254854i
$881$		−	25.6669i		−	0.864741i	−0.901696	−	0.432370i	$-0.857677\pi$
$881$		−	25.6669i		−	0.864741i	0.901696	−	0.432370i	$-0.142323\pi$
$882$	−14.2801	−	26.0400i	−0.480835	−	0.876811i
$883$	5.00376			0.168390			0.0841949	−	0.996449i	$-0.473168\pi$
$883$	5.00376			0.168390			0.0841949	+	0.996449i	$0.473168\pi$
$884$	−18.9081	−	4.50407i	−0.635949	−	0.151488i
$885$	0.142147	−	68.1281i	0.00477822	−	2.29010i
$886$	22.2842	+	2.61753i	0.748654	+	0.0879375i
$887$	52.5254			1.76363			0.881814	−	0.471597i	$-0.156322\pi$
$887$	52.5254			1.76363			0.881814	+	0.471597i	$0.156322\pi$
$888$	31.4504	+	11.5824i	1.05541	+	0.388680i
$889$	−0.0228354	−	0.00492085i	−0.000765876	−	0.000165040i
$890$	−39.9185	+	53.5561i	−1.33807	+	1.79521i
$891$	−8.84879	−	5.20780i	−0.296446	−	0.174468i
$892$	−2.07549	+	8.71291i	−0.0694924	+	0.291730i
$893$	20.0090			0.669574
$894$	−3.12792	+	26.1583i	−0.104613	+	0.874863i
$895$	54.9722	+	31.7382i	1.83752	+	1.06089i
$896$	−14.5375	+	26.1660i	−0.485664	+	0.874145i
$897$	6.19062	−	3.55695i	0.206699	−	0.118763i
$898$	−1.11590	−	2.59100i	−0.0372381	−	0.0864629i
$899$	30.8146	+	17.7908i	1.02772	+	0.593357i
$900$	−22.1179	−	5.36631i	−0.737265	−	0.178877i
$901$	−51.0140	+	29.4530i	−1.69952	+	0.981220i
$902$	1.34778	−	11.4743i	0.0448762	−	0.382052i
$903$	0.718234	−	3.29955i	0.0239013	−	0.109802i
$904$	1.69580	−	1.41801i	0.0564015	−	0.0471625i
$905$		−	74.9369i		−	2.49099i
$906$	−31.1531	−	3.72519i	−1.03499	−	0.123761i
$907$	−13.6512			−0.453281			−0.226641	−	0.973978i	$-0.572774\pi$
$907$	−13.6512			−0.453281			−0.226641	+	0.973978i	$0.572774\pi$
$908$	14.7308	+	13.9296i	0.488860	+	0.462269i
$909$	−0.0479968	−	0.0839399i	−0.00159195	−	0.00278411i
$910$	−5.01095	+	14.6691i	−0.166111	+	0.486276i
$911$	−2.80022	−	4.85013i	−0.0927755	−	0.160692i	0.815903	−	0.578189i	$-0.196241\pi$
$911$	−2.80022	−	4.85013i	−0.0927755	−	0.160692i	−0.908678	+	0.417498i	$0.862907\pi$
$912$	1.02723	+	19.0708i	0.0340151	+	0.631498i
$913$	0.952865	+	1.65041i	0.0315352	+	0.0546206i
$914$	2.34842	−	19.9933i	0.0776790	−	0.661318i
$915$	24.7170	−	14.2017i	0.817120	−	0.469494i
$916$	9.16535	+	8.66682i	0.302832	+	0.286360i
$917$	27.9931	+	6.03227i	0.924412	+	0.199203i
$918$	−50.7301	−	6.28097i	−1.67434	−	0.207303i
$919$	43.7907	−	25.2826i	1.44452	−	0.833995i	0.446376	−	0.894846i	$-0.352715\pi$
$919$	43.7907	−	25.2826i	1.44452	−	0.833995i	0.998147	+	0.0608503i	$0.0193812\pi$
$920$	−8.50348	+	23.2394i	−0.280351	+	0.766181i
$921$	21.3647	−	36.8271i	0.703992	−	1.21349i
$922$	−24.2901	−	18.1048i	−0.799951	−	0.596250i
$923$	−7.42850	−	4.28884i	−0.244512	−	0.141169i
$924$	−0.787799	−	10.4262i	−0.0259167	−	0.342998i
$925$	−22.4741	+	12.9755i	−0.738945	+	0.426630i
$926$	39.0786	+	4.59021i	1.28420	+	0.150844i
$927$	−38.1364	+	21.8064i	−1.25256	+	0.716215i
$928$	11.5885	−	17.5106i	0.380412	−	0.574815i
$929$	−9.34390	−	5.39470i	−0.306563	−	0.176994i	0.338824	−	0.940850i	$-0.389971\pi$
$929$	−9.34390	−	5.39470i	−0.306563	−	0.176994i	−0.645388	+	0.763855i	$0.723304\pi$
$930$	27.4077	+	64.0051i	0.898733	+	2.09881i
$931$	−1.90927	−	19.2017i	−0.0625737	−	0.629310i
$932$	10.2820	−	43.1641i	0.336800	−	1.41389i
$933$	−3.07610	−	0.00641817i	−0.100707	−	0.000210122i
$934$	−2.87512	+	3.85737i	−0.0940769	+	0.126217i
$935$	−11.7663	+	20.3799i	−0.384801	+	0.666494i
$936$	−11.1159	−	4.12006i	−0.363334	−	0.134668i
$937$	−11.8954			−0.388606			−0.194303	−	0.980942i	$-0.562245\pi$
$937$	−11.8954			−0.388606			−0.194303	+	0.980942i	$0.562245\pi$
$938$	−0.241581	+	0.211041i	−0.00788790	+	0.00689072i
$939$	−20.1303	−	35.0353i	−0.656926	−	1.14333i
$940$	−12.2993	−	41.2535i	−0.401158	−	1.34554i
$941$	25.6526	+	44.4316i	0.836250	+	1.44843i	0.893008	+	0.450040i	$0.148590\pi$
$941$	25.6526	+	44.4316i	0.836250	+	1.44843i	−0.0567579	+	0.998388i	$0.518076\pi$
$942$	−4.91711	−	11.4829i	−0.160208	−	0.374133i
$943$	18.2972	+	10.5639i	0.595838	+	0.344007i
$944$	29.0548	+	44.3957i	0.945653	+	1.44496i
$945$	−8.83705	+	39.7974i	−0.287469	+	1.29461i
$946$	0.710492	−	0.953222i	0.0231001	−	0.0309919i
$947$	18.6172	+	10.7486i	0.604977	+	0.349284i	0.770997	−	0.636839i	$-0.219758\pi$
$947$	18.6172	+	10.7486i	0.604977	+	0.349284i	−0.166020	+	0.986122i	$0.553092\pi$
$948$	−2.65036	+	11.0241i	−0.0860796	+	0.358047i
$949$	−7.80633	+	4.50699i	−0.253404	+	0.146303i
$950$	−11.8567	−	8.83749i	−0.384682	−	0.286726i
$951$	9.01790	+	15.6950i	0.292425	+	0.508945i
$952$	−24.2308	−	46.0722i	−0.785324	−	1.49321i
$953$			32.9525i			1.06744i	0.845662	+	0.533718i	$0.179206\pi$
$953$			32.9525i			1.06744i	−0.845662	+	0.533718i	$0.820794\pi$
$954$	−33.0560	+	14.0734i	−1.07023	+	0.455643i
$955$	−29.6166	+	51.2975i	−0.958371	+	1.65995i
$956$	1.19767	+	4.01715i	0.0387354	+	0.129924i
$957$	−0.0153037	+	7.33477i	−0.000494700	+	0.237099i
$958$	−4.70297	+	2.02549i	−0.151946	+	0.0654405i
$959$	2.06667	+	0.445350i	0.0667362	+	0.0143811i
$960$	38.6878	−	13.8405i	1.24864	−	0.446700i
$961$	30.4426	−	52.7281i	0.982019	−	1.70091i
$962$	−12.4147	+	5.34678i	−0.400265	+	0.172387i
$963$	4.22891	+	2.46515i	0.136275	+	0.0794383i
$964$	1.78747	−	1.89028i	0.0575704	−	0.0608819i
$965$	11.3249	+	19.6152i	0.364560	+	0.631436i
$966$	18.0817	+	6.21884i	0.581768	+	0.200088i
$967$	−27.1028	−	15.6478i	−0.871567	−	0.503199i	−0.00369833	−	0.999993i	$-0.501177\pi$
$967$	−27.1028	−	15.6478i	−0.871567	−	0.503199i	−0.867869	+	0.496794i	$0.834511\pi$
$968$	−9.42616	+	25.7611i	−0.302968	+	0.827992i
$969$	−28.7288	−	16.6666i	−0.922902	−	0.535408i
$970$	−62.3502	−	46.4733i	−2.00195	−	1.49217i
$971$	−4.11794	+	2.37750i	−0.132151	+	0.0762975i	−0.564618	−	0.825352i	$-0.690977\pi$
$971$	−4.11794	+	2.37750i	−0.132151	+	0.0762975i	0.432467	+	0.901650i	$0.357643\pi$
$972$	−30.2513	−	7.54045i	−0.970311	−	0.241860i
$973$	33.6705	+	30.4886i	1.07943	+	0.977421i
$974$	23.9343	+	2.81135i	0.766906	+	0.0900814i
$975$	7.95898	−	4.57301i	0.254891	−	0.146453i
$976$	−10.0089	+	19.8166i	−0.320376	+	0.634313i
$977$	−9.95491	+	5.74747i	−0.318486	+	0.183878i	−0.650717	−	0.759320i	$-0.725532\pi$
$977$	−9.95491	+	5.74747i	−0.318486	+	0.183878i	0.332232	+	0.943198i	$0.392198\pi$
$978$	25.3580	−	10.8586i	0.810859	−	0.347219i
$979$	9.08565	+	15.7368i	0.290379	+	0.502950i
$980$	−38.4155	+	15.7395i	−1.22714	+	0.502779i
$981$	0.0510865	−	12.2423i	0.00163107	−	0.390867i
$982$	−13.9277	−	1.63596i	−0.444450	−	0.0522055i
$983$	−9.73925			−0.310634			−0.155317	−	0.987865i	$-0.549640\pi$
$983$	−9.73925			−0.310634			−0.155317	+	0.987865i	$0.549640\pi$
$984$	−5.96052	−	34.5706i	−0.190015	−	1.10207i
$985$	50.1215			1.59700
$986$	14.4444	+	33.5384i	0.460003	+	1.06808i
$987$	−31.6845	+	10.1238i	−1.00853	+	0.322244i
$988$	−5.59666	−	5.29224i	−0.178053	−	0.168369i
$989$	1.08707	+	1.88287i	0.0345669	+	0.0598716i
$990$	−8.62538	+	11.4719i	−0.274132	+	0.364601i
$991$	18.7864	+	10.8463i	0.596770	+	0.344545i	0.767770	−	0.640726i	$-0.221366\pi$
$991$	18.7864	+	10.8463i	0.596770	+	0.344545i	−0.171000	+	0.985271i	$0.554700\pi$
$992$	−45.2191	−	29.9259i	−1.43571	−	0.950150i
$993$	18.9120	+	32.9150i	0.600155	+	1.04453i
$994$	−4.43835	−	22.5394i	−0.140776	−	0.714907i
$995$	26.5551	+	15.3316i	0.841854	+	0.486045i
$996$	4.19623	+	3.98461i	0.132963	+	0.126257i
$997$		−	32.6687i		−	1.03463i	−0.855796	−	0.517313i	$-0.826932\pi$
$997$		−	32.6687i		−	1.03463i	0.855796	−	0.517313i	$-0.173068\pi$
$998$	34.2027	−	14.7305i	1.08267	−	0.466286i
$999$	−30.8965	+	17.5812i	−0.977522	+	0.556244i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cy.a.347.12	yes	184
7.2	even	3		504.2.bt.a.275.74	yes	184
8.3	odd	2	inner	504.2.cy.a.347.44	yes	184
9.2	odd	6		504.2.bt.a.11.19	✓	184
56.51	odd	6		504.2.bt.a.275.19	yes	184
63.2	odd	6	inner	504.2.cy.a.443.44	yes	184
72.11	even	6		504.2.bt.a.11.74	yes	184
504.443	even	6	inner	504.2.cy.a.443.12	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.19	✓	184	9.2	odd	6
504.2.bt.a.11.74	yes	184	72.11	even	6
504.2.bt.a.275.19	yes	184	56.51	odd	6
504.2.bt.a.275.74	yes	184	7.2	even	3
504.2.cy.a.347.12	yes	184	1.1	even	1	trivial
504.2.cy.a.347.44	yes	184	8.3	odd	2	inner
504.2.cy.a.443.12	yes	184	504.443	even	6	inner
504.2.cy.a.443.44	yes	184	63.2	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cy (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.29887 + 0.559401i) q^{2} +(-0.869153 + 1.49819i) q^{3} +(1.37414 - 1.45318i) q^{4} +2.96535 q^{5} +(0.290830 - 2.43216i) q^{6} +(-0.557344 + 2.58638i) q^{7} +(-0.971921 + 2.65619i) q^{8} +(-1.48915 - 2.60431i) q^{9} +O(q^{10})\)	\(q+(-1.29887 + 0.559401i) q^{2} +(-0.869153 + 1.49819i) q^{3} +(1.37414 - 1.45318i) q^{4} +2.96535 q^{5} +(0.290830 - 2.43216i) q^{6} +(-0.557344 + 2.58638i) q^{7} +(-0.971921 + 2.65619i) q^{8} +(-1.48915 - 2.60431i) q^{9} +(-3.85161 + 1.65882i) q^{10} +1.14084i q^{11} +(0.982805 + 3.32176i) q^{12} +(-1.20993 - 0.698555i) q^{13} +(-0.722907 - 3.67116i) q^{14} +(-2.57734 + 4.44265i) q^{15} +(-0.223478 - 3.99375i) q^{16} +(6.02425 + 3.47811i) q^{17} +(3.39107 + 2.54964i) q^{18} +(1.37831 + 2.38731i) q^{19} +(4.07480 - 4.30919i) q^{20} +(-3.39047 - 3.08297i) q^{21} +(-0.638186 - 1.48180i) q^{22} +2.95046 q^{23} +(-3.13474 - 3.76476i) q^{24} +3.79327 q^{25} +(1.96232 + 0.230496i) q^{26} +(5.19605 + 0.0325245i) q^{27} +(2.99261 + 4.36397i) q^{28} +(-1.85598 - 3.21465i) q^{29} +(0.862411 - 7.21220i) q^{30} +(-8.30144 + 4.79284i) q^{31} +(2.52438 + 5.06236i) q^{32} +(-1.70919 - 0.991563i) q^{33} +(-9.77040 - 1.14764i) q^{34} +(-1.65272 + 7.66951i) q^{35} +(-5.83084 - 1.41469i) q^{36} +(-5.92474 + 3.42065i) q^{37} +(-3.12572 - 2.32978i) q^{38} +(2.09818 - 1.20556i) q^{39} +(-2.88208 + 7.87653i) q^{40} +(6.20145 + 3.58041i) q^{41} +(6.12841 + 2.10775i) q^{42} +(0.368441 + 0.638159i) q^{43} +(1.65784 + 1.56767i) q^{44} +(-4.41583 - 7.72269i) q^{45} +(-3.83228 + 1.65049i) q^{46} +(3.62925 - 6.28604i) q^{47} +(6.17764 + 3.13637i) q^{48} +(-6.37874 - 2.88301i) q^{49} +(-4.92698 + 2.12196i) q^{50} +(-10.4469 + 6.00247i) q^{51} +(-2.67774 + 0.798340i) q^{52} +(-4.23405 + 7.33359i) q^{53} +(-6.76720 + 2.86443i) q^{54} +3.38298i q^{55} +(-6.32824 - 3.99417i) q^{56} +(-4.77461 - 0.00996205i) q^{57} +(4.20896 + 3.13718i) q^{58} +(-11.4874 + 6.63226i) q^{59} +(2.91435 + 9.85017i) q^{60} +(-4.80661 - 2.77510i) q^{61} +(8.10139 - 10.8691i) q^{62} +(7.56571 - 2.40000i) q^{63} +(-6.11074 - 5.16322i) q^{64} +(-3.58787 - 2.07146i) q^{65} +(2.77470 + 0.331790i) q^{66} +(-0.0428660 - 0.0742460i) q^{67} +(13.3325 - 3.97494i) q^{68} +(-2.56441 + 4.42036i) q^{69} +(-2.14367 - 10.8863i) q^{70} +6.13960 q^{71} +(8.36489 - 1.42427i) q^{72} +(3.22594 - 5.58749i) q^{73} +(5.78196 - 7.75729i) q^{74} +(-3.29693 + 5.68304i) q^{75} +(5.36319 + 1.27756i) q^{76} +(-2.95064 - 0.635839i) q^{77} +(-2.05088 + 2.73959i) q^{78} +(2.83456 + 1.63654i) q^{79} +(-0.662688 - 11.8429i) q^{80} +(-4.56489 + 7.75640i) q^{81} +(-10.0578 - 1.18140i) q^{82} +(1.44667 - 0.835233i) q^{83} +(-9.13910 + 0.690544i) q^{84} +(17.8640 + 10.3138i) q^{85} +(-0.835546 - 0.622781i) q^{86} +(6.42929 + 0.0134145i) q^{87} +(-3.03029 - 1.10880i) q^{88} +(13.7941 - 7.96402i) q^{89} +(10.0557 + 7.56057i) q^{90} +(2.48108 - 2.74001i) q^{91} +(4.05435 - 4.28756i) q^{92} +(0.0346412 - 16.6028i) q^{93} +(-1.19751 + 10.1950i) q^{94} +(4.08718 + 7.07920i) q^{95} +(-9.77845 - 0.617968i) q^{96} +(9.27174 + 16.0591i) q^{97} +(9.89792 + 0.176386i) q^{98} +(2.97110 - 1.69887i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 5 q^{12} - 3 q^{14} + q^{16} + 5 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} + 148 q^{25} + 6 q^{26} - 8 q^{27} + 24 q^{30} - 33 q^{32} + 22 q^{33} - 4 q^{34} - 30 q^{35} - 38 q^{36} - 12 q^{40} - 12 q^{41} + 7 q^{42} - 4 q^{43} - 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} + 26 q^{51} - 18 q^{52} - 40 q^{54} + 18 q^{56} + 4 q^{57} + 6 q^{58} - 6 q^{59} - 2 q^{60} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 2 q^{67} - 18 q^{70} - 11 q^{72} - 4 q^{73} - 36 q^{75} + 2 q^{76} - 29 q^{78} - 87 q^{80} - 10 q^{81} - 4 q^{82} - 72 q^{83} - 65 q^{84} + 14 q^{88} + 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} + 9 q^{94} - 88 q^{96} - 4 q^{97} - 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 5 * q^12 - 3 * q^14 + q^16 + 5 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 + 148 * q^25 + 6 * q^26 - 8 * q^27 + 24 * q^30 - 33 * q^32 + 22 * q^33 - 4 * q^34 - 30 * q^35 - 38 * q^36 - 12 * q^40 - 12 * q^41 + 7 * q^42 - 4 * q^43 - 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 + 26 * q^51 - 18 * q^52 - 40 * q^54 + 18 * q^56 + 4 * q^57 + 6 * q^58 - 6 * q^59 - 2 * q^60 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 2 * q^67 - 18 * q^70 - 11 * q^72 - 4 * q^73 - 36 * q^75 + 2 * q^76 - 29 * q^78 - 87 * q^80 - 10 * q^81 - 4 * q^82 - 72 * q^83 - 65 * q^84 + 14 * q^88 + 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 + 9 * q^94 - 88 * q^96 - 4 * q^97 - 57 * q^98 + 10 * q^99

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