LMFDB - Embedded newform 429.2.n.a.313.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(157,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 8, 0]))

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

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

chi := DirichletCharacter("429.157");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.n (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3 x^{11} + 9 x^{10} - 15 x^{9} + 29 x^{8} - 26 x^{7} + 43 x^{6} + 24 x^{5} + 16 x^{4} + \cdots + 1 $ x^12 - 3x^11 + 9x^10 - 15x^9 + 29x^8 - 26x^7 + 43x^6 + 24x^5 + 16x^4 - 17x^3 + 14x^2 - 5*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			313.2
Root			$0.135246 - 0.416243i$ of defining polynomial
Character	$\chi$	$=$	429.313
Dual form			429.2.n.a.196.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.135246 + 0.416243i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.46307 - 1.06298i) q^{4} +(0.397042 - 1.22197i) q^{5} +(0.135246 - 0.416243i) q^{6} +(1.16309 - 0.845038i) q^{7} +(1.34849 + 0.979734i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.135246 + 0.416243i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.46307 - 1.06298i) q^{4} +(0.397042 - 1.22197i) q^{5} +(0.135246 - 0.416243i) q^{6} +(1.16309 - 0.845038i) q^{7} +(1.34849 + 0.979734i) q^{8} +(0.309017 + 0.951057i) q^{9} +0.562336 q^{10} +(-2.55733 - 2.11189i) q^{11} -1.80845 q^{12} +(0.309017 + 0.951057i) q^{13} +(0.509045 + 0.369843i) q^{14} +(-1.03947 + 0.755220i) q^{15} +(0.892253 - 2.74607i) q^{16} +(0.796828 - 2.45239i) q^{17} +(-0.354078 + 0.257253i) q^{18} +(0.788350 + 0.572770i) q^{19} +(-0.718031 - 2.20987i) q^{20} -1.43766 q^{21} +(0.533191 - 1.35010i) q^{22} -6.21099 q^{23} +(-0.515076 - 1.58524i) q^{24} +(2.70951 + 1.96858i) q^{25} +(-0.354078 + 0.257253i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.803427 - 2.47269i) q^{28} +(1.65558 - 1.20285i) q^{29} +(-0.454939 - 0.330533i) q^{30} +(-1.72371 - 5.30504i) q^{31} +4.59735 q^{32} +(0.827587 + 3.21171i) q^{33} +1.12856 q^{34} +(-0.570814 - 1.75678i) q^{35} +(1.46307 + 1.06298i) q^{36} +(2.36922 - 1.72134i) q^{37} +(-0.131791 + 0.405610i) q^{38} +(0.309017 - 0.951057i) q^{39} +(1.73261 - 1.25882i) q^{40} +(-0.527951 - 0.383579i) q^{41} +(-0.194438 - 0.598418i) q^{42} +10.1362 q^{43} +(-5.98644 - 0.371440i) q^{44} +1.28486 q^{45} +(-0.840010 - 2.58528i) q^{46} +(5.72319 + 4.15814i) q^{47} +(-2.33595 + 1.69717i) q^{48} +(-1.52442 + 4.69168i) q^{49} +(-0.452957 + 1.39406i) q^{50} +(-2.08612 + 1.51566i) q^{51} +(1.46307 + 1.06298i) q^{52} +(0.818008 + 2.51757i) q^{53} +0.437664 q^{54} +(-3.59603 + 2.28647i) q^{55} +2.39633 q^{56} +(-0.301123 - 0.926761i) q^{57} +(0.724588 + 0.526444i) q^{58} +(-6.82027 + 4.95521i) q^{59} +(-0.718031 + 2.20987i) q^{60} +(-2.29380 + 7.05958i) q^{61} +(1.97506 - 1.43497i) q^{62} +(1.16309 + 0.845038i) q^{63} +(-1.16273 - 3.57853i) q^{64} +1.28486 q^{65} +(-1.22493 + 0.778848i) q^{66} -1.21593 q^{67} +(-1.44102 - 4.43502i) q^{68} +(5.02480 + 3.65073i) q^{69} +(0.654050 - 0.475195i) q^{70} +(-1.88852 + 5.81226i) q^{71} +(-0.515076 + 1.58524i) q^{72} +(2.73435 - 1.98662i) q^{73} +(1.03692 + 0.753368i) q^{74} +(-1.03494 - 3.18523i) q^{75} +1.76225 q^{76} +(-4.75904 - 0.295284i) q^{77} +0.437664 q^{78} +(0.354212 + 1.09015i) q^{79} +(-3.00136 - 2.18061i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(0.0882592 - 0.271634i) q^{82} +(-0.178451 + 0.549216i) q^{83} +(-2.10340 + 1.52821i) q^{84} +(-2.68037 - 1.94740i) q^{85} +(1.37088 + 4.21914i) q^{86} -2.04641 q^{87} +(-1.37944 - 5.35335i) q^{88} -10.2117 q^{89} +(0.173771 + 0.534813i) q^{90} +(1.16309 + 0.845038i) q^{91} +(-9.08709 + 6.60216i) q^{92} +(-1.72371 + 5.30504i) q^{93} +(-0.956763 + 2.94461i) q^{94} +(1.01292 - 0.735927i) q^{95} +(-3.71934 - 2.70226i) q^{96} +(0.632453 + 1.94649i) q^{97} -2.15905 q^{98} +(1.21827 - 3.08477i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 8 q^{5} + 3 q^{6} + 5 q^{7} - q^{8} - 3 q^{9}+O(q^{10}) $ 12 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 + 8 * q^5 + 3 * q^6 + 5 * q^7 - q^8 - 3 * q^9	\( 12 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 8 q^{5} + 3 q^{6} + 5 q^{7} - q^{8} - 3 q^{9} + 14 q^{10} - 6 q^{11} + 2 q^{12} - 3 q^{13} + 11 q^{14} - 2 q^{15} - 5 q^{16} - 14 q^{17} - 2 q^{18} - 2 q^{19} - 9 q^{20} - 10 q^{21} + 21 q^{22} - 6 q^{23} + 4 q^{24} + 19 q^{25} - 2 q^{26} - 3 q^{27} - 12 q^{28} - 12 q^{29} - q^{30} - 12 q^{31} + 26 q^{32} + 9 q^{33} - 24 q^{34} - 2 q^{35} - 3 q^{36} + 4 q^{37} - 13 q^{38} - 3 q^{39} + 4 q^{40} - 10 q^{41} + q^{42} + 28 q^{43} - 12 q^{45} - 5 q^{46} + 28 q^{47} + 10 q^{48} + 20 q^{49} - q^{50} + 11 q^{51} - 3 q^{52} - 29 q^{53} - 2 q^{54} + 4 q^{55} + 12 q^{56} + 8 q^{57} + 22 q^{58} - 11 q^{59} - 9 q^{60} - 18 q^{61} + 40 q^{62} + 5 q^{63} + 11 q^{64} - 12 q^{65} + 16 q^{66} - 72 q^{67} - 35 q^{68} + 4 q^{69} - 6 q^{70} + 10 q^{71} + 4 q^{72} - 11 q^{73} - 15 q^{74} - 11 q^{75} + 4 q^{76} + 20 q^{77} - 2 q^{78} - 7 q^{79} - 27 q^{80} - 3 q^{81} - 10 q^{82} + 16 q^{83} + 8 q^{84} - 26 q^{85} - 35 q^{86} + 28 q^{87} + 25 q^{88} - 62 q^{89} - 6 q^{90} + 5 q^{91} - 34 q^{92} - 12 q^{93} - q^{94} + 15 q^{95} + q^{96} + 54 q^{97} + 50 q^{98} - 6 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 + 8 * q^5 + 3 * q^6 + 5 * q^7 - q^8 - 3 * q^9 + 14 * q^10 - 6 * q^11 + 2 * q^12 - 3 * q^13 + 11 * q^14 - 2 * q^15 - 5 * q^16 - 14 * q^17 - 2 * q^18 - 2 * q^19 - 9 * q^20 - 10 * q^21 + 21 * q^22 - 6 * q^23 + 4 * q^24 + 19 * q^25 - 2 * q^26 - 3 * q^27 - 12 * q^28 - 12 * q^29 - q^30 - 12 * q^31 + 26 * q^32 + 9 * q^33 - 24 * q^34 - 2 * q^35 - 3 * q^36 + 4 * q^37 - 13 * q^38 - 3 * q^39 + 4 * q^40 - 10 * q^41 + q^42 + 28 * q^43 - 12 * q^45 - 5 * q^46 + 28 * q^47 + 10 * q^48 + 20 * q^49 - q^50 + 11 * q^51 - 3 * q^52 - 29 * q^53 - 2 * q^54 + 4 * q^55 + 12 * q^56 + 8 * q^57 + 22 * q^58 - 11 * q^59 - 9 * q^60 - 18 * q^61 + 40 * q^62 + 5 * q^63 + 11 * q^64 - 12 * q^65 + 16 * q^66 - 72 * q^67 - 35 * q^68 + 4 * q^69 - 6 * q^70 + 10 * q^71 + 4 * q^72 - 11 * q^73 - 15 * q^74 - 11 * q^75 + 4 * q^76 + 20 * q^77 - 2 * q^78 - 7 * q^79 - 27 * q^80 - 3 * q^81 - 10 * q^82 + 16 * q^83 + 8 * q^84 - 26 * q^85 - 35 * q^86 + 28 * q^87 + 25 * q^88 - 62 * q^89 - 6 * q^90 + 5 * q^91 - 34 * q^92 - 12 * q^93 - q^94 + 15 * q^95 + q^96 + 54 * q^97 + 50 * q^98 - 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$	$1$

Coefficient data

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

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

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

$2$	0.135246	+	0.416243i	0.0956331	+	0.294329i	0.987418	−	0.158131i	$-0.0505468\pi$
$2$	0.135246	+	0.416243i	0.0956331	+	0.294329i	−0.891785	+	0.452459i	$0.850547\pi$
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$4$	1.46307	−	1.06298i	0.731533	−	0.531490i
$5$	0.397042	−	1.22197i	0.177563	−	0.546482i	−0.822178	−	0.569230i	$-0.807241\pi$
$5$	0.397042	−	1.22197i	0.177563	−	0.546482i	0.999741	+	0.0227478i	$0.00724146\pi$
$6$	0.135246	−	0.416243i	0.0552138	−	0.169931i
$7$	1.16309	−	0.845038i	0.439609	−	0.319394i	−0.345871	−	0.938282i	$-0.612416\pi$
$7$	1.16309	−	0.845038i	0.439609	−	0.319394i	0.785479	+	0.618888i	$0.212416\pi$
$8$	1.34849	+	0.979734i	0.476762	+	0.346388i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	0.562336			0.177826
$11$	−2.55733	−	2.11189i	−0.771064	−	0.636758i
$11$	−2.55733	−	2.11189i	−0.771064	−	0.636758i
$12$	−1.80845			−0.522055
$13$	0.309017	+	0.951057i	0.0857059	+	0.263776i
$13$	0.309017	+	0.951057i	0.0857059	+	0.263776i
$14$	0.509045	+	0.369843i	0.136048	+	0.0988447i
$15$	−1.03947	+	0.755220i	−0.268390	+	0.194997i
$16$	0.892253	−	2.74607i	0.223063	−	0.686518i
$17$	0.796828	−	2.45239i	0.193259	−	0.594791i	−0.806733	−	0.590916i	$-0.798767\pi$
$17$	0.796828	−	2.45239i	0.193259	−	0.594791i	0.999992	−	0.00387507i	$-0.00123348\pi$
$18$	−0.354078	+	0.257253i	−0.0834569	+	0.0606350i
$19$	0.788350	+	0.572770i	0.180860	+	0.131402i	0.674532	−	0.738246i	$-0.264346\pi$
$19$	0.788350	+	0.572770i	0.180860	+	0.131402i	−0.493672	+	0.869648i	$0.664346\pi$
$20$	−0.718031	−	2.20987i	−0.160557	−	0.494143i
$21$	−1.43766			−0.313724
$22$	0.533191	−	1.35010i	0.113677	−	0.287841i
$23$	−6.21099			−1.29508			−0.647540	−	0.762031i	$-0.724202\pi$
$23$	−6.21099			−1.29508			−0.647540	+	0.762031i	$0.724202\pi$
$24$	−0.515076	−	1.58524i	−0.105140	−	0.323586i
$25$	2.70951	+	1.96858i	0.541903	+	0.393715i
$26$	−0.354078	+	0.257253i	−0.0694404	+	0.0504514i
$27$	0.309017	−	0.951057i	0.0594703	−	0.183031i
$28$	0.803427	−	2.47269i	0.151833	−	0.467295i
$29$	1.65558	−	1.20285i	0.307433	−	0.223363i	−0.423361	−	0.905961i	$-0.639150\pi$
$29$	1.65558	−	1.20285i	0.307433	−	0.223363i	0.730794	+	0.682598i	$0.239150\pi$
$30$	−0.454939	−	0.330533i	−0.0830601	−	0.0603467i
$31$	−1.72371	−	5.30504i	−0.309588	−	0.952813i	−0.977925	−	0.208955i	$-0.932994\pi$
$31$	−1.72371	−	5.30504i	−0.309588	−	0.952813i	0.668338	−	0.743858i	$-0.267006\pi$
$32$	4.59735			0.812705
$33$	0.827587	+	3.21171i	0.144064	+	0.559087i
$34$	1.12856			0.193546
$35$	−0.570814	−	1.75678i	−0.0964851	−	0.296951i
$36$	1.46307	+	1.06298i	0.243844	+	0.177163i
$37$	2.36922	−	1.72134i	0.389497	−	0.282986i	−0.375752	−	0.926720i	$-0.622616\pi$
$37$	2.36922	−	1.72134i	0.389497	−	0.282986i	0.765249	+	0.643734i	$0.222616\pi$
$38$	−0.131791	+	0.405610i	−0.0213793	+	0.0657987i
$39$	0.309017	−	0.951057i	0.0494823	−	0.152291i
$40$	1.73261	−	1.25882i	0.273950	−	0.199036i
$41$	−0.527951	−	0.383579i	−0.0824522	−	0.0599050i	0.545796	−	0.837918i	$-0.316228\pi$
$41$	−0.527951	−	0.383579i	−0.0824522	−	0.0599050i	−0.628248	+	0.778013i	$0.716228\pi$
$42$	−0.194438	−	0.598418i	−0.0300024	−	0.0923380i
$43$	10.1362			1.54576			0.772880	−	0.634552i	$-0.218816\pi$
$43$	10.1362			1.54576			0.772880	+	0.634552i	$0.218816\pi$
$44$	−5.98644	−	0.371440i	−0.902489	−	0.0559967i
$45$	1.28486			0.191535
$46$	−0.840010	−	2.58528i	−0.123853	−	0.381179i
$47$	5.72319	+	4.15814i	0.834814	+	0.606528i	0.920917	−	0.389759i	$-0.127442\pi$
$47$	5.72319	+	4.15814i	0.834814	+	0.606528i	−0.0861035	+	0.996286i	$0.527442\pi$
$48$	−2.33595	+	1.69717i	−0.337165	+	0.244965i
$49$	−1.52442	+	4.69168i	−0.217774	+	0.670240i
$50$	−0.452957	+	1.39406i	−0.0640578	+	0.197150i
$51$	−2.08612	+	1.51566i	−0.292116	+	0.212235i
$52$	1.46307	+	1.06298i	0.202891	+	0.147409i
$53$	0.818008	+	2.51757i	0.112362	+	0.345815i	0.991388	−	0.130960i	$-0.0418058\pi$
$53$	0.818008	+	2.51757i	0.112362	+	0.345815i	−0.879026	+	0.476775i	$0.841806\pi$
$54$	0.437664			0.0595586
$55$	−3.59603	+	2.28647i	−0.484889	+	0.308308i
$56$	2.39633			0.320223
$57$	−0.301123	−	0.926761i	−0.0398847	−	0.122753i
$58$	0.724588	+	0.526444i	0.0951430	+	0.0691255i
$59$	−6.82027	+	4.95521i	−0.887923	+	0.645114i	−0.935336	−	0.353762i	$-0.884902\pi$
$59$	−6.82027	+	4.95521i	−0.887923	+	0.645114i	0.0474126	+	0.998875i	$0.484902\pi$
$60$	−0.718031	+	2.20987i	−0.0926975	+	0.285293i
$61$	−2.29380	+	7.05958i	−0.293691	+	0.903887i	0.689967	+	0.723840i	$0.257625\pi$
$61$	−2.29380	+	7.05958i	−0.293691	+	0.903887i	−0.983658	+	0.180047i	$0.942375\pi$
$62$	1.97506	−	1.43497i	0.250833	−	0.182241i
$63$	1.16309	+	0.845038i	0.146536	+	0.106465i
$64$	−1.16273	−	3.57853i	−0.145342	−	0.447316i
$65$	1.28486			0.159367
$66$	−1.22493	+	0.778848i	−0.150778	+	0.0958696i
$67$	−1.21593			−0.148549			−0.0742746	−	0.997238i	$-0.523664\pi$
$67$	−1.21593			−0.148549			−0.0742746	+	0.997238i	$0.523664\pi$
$68$	−1.44102	−	4.43502i	−0.174750	−	0.537825i
$69$	5.02480	+	3.65073i	0.604914	+	0.439496i
$70$	0.654050	−	0.475195i	0.0781739	−	0.0567967i
$71$	−1.88852	+	5.81226i	−0.224126	+	0.689788i	0.774254	+	0.632876i	$0.218126\pi$
$71$	−1.88852	+	5.81226i	−0.224126	+	0.689788i	−0.998379	+	0.0569123i	$0.981874\pi$
$72$	−0.515076	+	1.58524i	−0.0607023	+	0.186823i
$73$	2.73435	−	1.98662i	0.320031	−	0.232516i	−0.416157	−	0.909293i	$-0.636623\pi$
$73$	2.73435	−	1.98662i	0.320031	−	0.232516i	0.736189	+	0.676776i	$0.236623\pi$
$74$	1.03692	+	0.753368i	0.120540	+	0.0875772i
$75$	−1.03494	−	3.18523i	−0.119505	−	0.367798i
$76$	1.76225			0.202144
$77$	−4.75904	−	0.295284i	−0.542343	−	0.0336507i
$78$	0.437664			0.0495557
$79$	0.354212	+	1.09015i	0.0398519	+	0.122652i	0.969003	−	0.247048i	$-0.0794606\pi$
$79$	0.354212	+	1.09015i	0.0398519	+	0.122652i	−0.929151	+	0.369700i	$0.879461\pi$
$80$	−3.00136	−	2.18061i	−0.335562	−	0.243800i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	0.0882592	−	0.271634i	0.00974659	−	0.0299969i
$83$	−0.178451	+	0.549216i	−0.0195875	+	0.0602843i	−0.960373	−	0.278720i	$-0.910090\pi$
$83$	−0.178451	+	0.549216i	−0.0195875	+	0.0602843i	0.940785	+	0.339004i	$0.110090\pi$
$84$	−2.10340	+	1.52821i	−0.229500	+	0.166741i
$85$	−2.68037	−	1.94740i	−0.290727	−	0.211225i
$86$	1.37088	+	4.21914i	0.147826	+	0.454961i
$87$	−2.04641			−0.219398
$88$	−1.37944	−	5.35335i	−0.147049	−	0.570670i
$89$	−10.2117			−1.08244			−0.541219	−	0.840882i	$-0.682037\pi$
$89$	−10.2117			−1.08244			−0.541219	+	0.840882i	$0.682037\pi$
$90$	0.173771	+	0.534813i	0.0183171	+	0.0563742i
$91$	1.16309	+	0.845038i	0.121925	+	0.0885840i
$92$	−9.08709	+	6.60216i	−0.947395	+	0.688323i
$93$	−1.72371	+	5.30504i	−0.178740	+	0.550107i
$94$	−0.956763	+	2.94461i	−0.0986825	+	0.303714i
$95$	1.01292	−	0.735927i	0.103923	−	0.0755046i
$96$	−3.71934	−	2.70226i	−0.379603	−	0.275798i
$97$	0.632453	+	1.94649i	0.0642159	+	0.197636i	0.978017	−	0.208526i	$-0.0668667\pi$
$97$	0.632453	+	1.94649i	0.0642159	+	0.197636i	−0.913801	+	0.406162i	$0.866867\pi$
$98$	−2.15905			−0.218097
$99$	1.21827	−	3.08477i	0.122440	−	0.310031i
$100$	6.05676			0.605676
$101$	2.04162	+	6.28347i	0.203149	+	0.625229i	0.999784	+	0.0207685i	$0.00661130\pi$
$101$	2.04162	+	6.28347i	0.203149	+	0.625229i	−0.796635	+	0.604461i	$0.793389\pi$
$102$	−0.913022	−	0.663349i	−0.0904026	−	0.0656814i
$103$	−14.0111	+	10.1796i	−1.38055	+	1.00303i	−0.383725	+	0.923447i	$0.625359\pi$
$103$	−14.0111	+	10.1796i	−1.38055	+	1.00303i	−0.996828	+	0.0795832i	$0.974641\pi$
$104$	−0.515076	+	1.58524i	−0.0505074	+	0.155446i
$105$	−0.570814	+	1.75678i	−0.0557057	+	0.171445i
$106$	−0.937290	+	0.680981i	−0.0910377	+	0.0661428i
$107$	2.98200	+	2.16655i	0.288281	+	0.209448i	0.722521	−	0.691349i	$-0.242983\pi$
$107$	2.98200	+	2.16655i	0.288281	+	0.209448i	−0.434240	+	0.900797i	$0.642983\pi$
$108$	−0.558842	−	1.71994i	−0.0537746	−	0.165501i
$109$	7.06438			0.676645			0.338322	−	0.941030i	$-0.390141\pi$
$109$	7.06438			0.676645			0.338322	+	0.941030i	$0.390141\pi$
$110$	−1.43808	−	1.18759i	−0.137115	−	0.113232i
$111$	−2.92851			−0.277962
$112$	−1.28276	−	3.94793i	−0.121209	−	0.373044i
$113$	13.4230	+	9.75238i	1.26273	+	0.917427i	0.998888	−	0.0471394i	$-0.0150105\pi$
$113$	13.4230	+	9.75238i	1.26273	+	0.917427i	0.263841	+	0.964566i	$0.415010\pi$
$114$	0.345033	−	0.250681i	0.0323153	−	0.0234784i
$115$	−2.46603	+	7.58965i	−0.229958	+	0.707739i
$116$	1.14362	−	3.51970i	0.106182	−	0.326796i
$117$	−0.809017	+	0.587785i	−0.0747936	+	0.0543408i
$118$	−2.98499	−	2.16872i	−0.274790	−	0.199647i
$119$	−1.14557	−	3.52571i	−0.105014	−	0.323201i
$120$	−2.14163			−0.195503
$121$	2.07987	+	10.8016i	0.189079	+	0.981962i
$122$	−3.24873			−0.294126
$123$	0.201659	+	0.620644i	0.0181830	+	0.0559616i
$124$	−8.16105	−	5.92935i	−0.732884	−	0.532472i
$125$	8.67869	−	6.30544i	0.776246	−	0.563975i
$126$	−0.194438	+	0.598418i	−0.0173219	+	0.0533113i
$127$	−1.22633	+	3.77425i	−0.108819	+	0.334910i	−0.990608	−	0.136734i	$-0.956339\pi$
$127$	−1.22633	+	3.77425i	−0.108819	+	0.334910i	0.881789	+	0.471644i	$0.156339\pi$
$128$	8.77096	−	6.37247i	0.775250	−	0.563252i
$129$	−8.20038	−	5.95792i	−0.722003	−	0.524566i
$130$	0.173771	+	0.534813i	0.0152408	+	0.0469062i
$131$	−7.52763			−0.657693			−0.328846	−	0.944383i	$-0.606660\pi$
$131$	−7.52763			−0.657693			−0.328846	+	0.944383i	$0.606660\pi$
$132$	4.62480	+	3.81924i	0.402537	+	0.332422i
$133$	1.40094			0.121477
$134$	−0.164449	−	0.506122i	−0.0142062	−	0.0437223i
$135$	−1.03947	−	0.755220i	−0.0894634	−	0.0649990i
$136$	3.47720	−	2.52633i	0.298167	−	0.216631i
$137$	−3.91338	+	12.0441i	−0.334342	+	1.02900i	0.632703	+	0.774395i	$0.281945\pi$
$137$	−3.91338	+	12.0441i	−0.334342	+	1.02900i	−0.967045	+	0.254605i	$0.918055\pi$
$138$	−0.840010	+	2.58528i	−0.0715064	+	0.220074i
$139$	14.3349	−	10.4149i	1.21587	−	0.883378i	0.220116	−	0.975474i	$-0.429356\pi$
$139$	14.3349	−	10.4149i	1.21587	−	0.883378i	0.995750	+	0.0920952i	$0.0293564\pi$
$140$	−2.70257	−	1.96353i	−0.228408	−	0.165948i
$141$	−2.18607	−	6.72802i	−0.184100	−	0.566601i
$142$	−2.67473			−0.224458
$143$	1.21827	−	3.08477i	0.101876	−	0.257962i
$144$	2.88739			0.240616
$145$	−0.812511	−	2.50065i	−0.0674754	−	0.207668i
$146$	1.19673	+	0.869473i	0.0990418	+	0.0719581i
$147$	3.99098	−	2.89962i	0.329170	−	0.239156i
$148$	1.63658	−	5.03686i	0.134526	−	0.414028i
$149$	0.384869	−	1.18450i	0.0315297	−	0.0970384i	−0.934053	−	0.357134i	$-0.883754\pi$
$149$	0.384869	−	1.18450i	0.0315297	−	0.0970384i	0.965583	+	0.260095i	$0.0837540\pi$
$150$	1.18586	−	0.861576i	0.0968249	−	0.0703474i
$151$	−4.23976	−	3.08036i	−0.345026	−	0.250676i	0.401753	−	0.915748i	$-0.368401\pi$
$151$	−4.23976	−	3.08036i	−0.345026	−	0.250676i	−0.746780	+	0.665072i	$0.768401\pi$
$152$	0.501919	+	1.54475i	0.0407110	+	0.125296i
$153$	2.57859			0.208467
$154$	−0.520730	−	2.02086i	−0.0419616	−	0.162845i
$155$	−7.16699			−0.575666
$156$	−0.558842	−	1.71994i	−0.0447432	−	0.137705i
$157$	9.78876	+	7.11195i	0.781228	+	0.567596i	0.905347	−	0.424672i	$-0.139610\pi$
$157$	9.78876	+	7.11195i	0.781228	+	0.567596i	−0.124119	+	0.992267i	$0.539610\pi$
$158$	−0.405863	+	0.294877i	−0.0322887	+	0.0234591i
$159$	0.818008	−	2.51757i	0.0648723	−	0.199656i
$160$	1.82534	−	5.61783i	0.144306	−	0.444129i
$161$	−7.22397	+	5.24852i	−0.569329	+	0.413641i
$162$	−0.354078	−	0.257253i	−0.0278190	−	0.0202117i
$163$	−6.05573	−	18.6376i	−0.474322	−	1.45981i	−0.846870	−	0.531799i	$-0.821516\pi$
$163$	−6.05573	−	18.6376i	−0.474322	−	1.45981i	0.372549	−	0.928013i	$-0.378484\pi$
$164$	−1.18017			−0.0921554
$165$	4.25321	+	0.263899i	0.331112	+	0.0205445i
$166$	−0.252742			−0.0196166
$167$	−5.54488	−	17.0654i	−0.429076	−	1.32056i	−0.899037	−	0.437873i	$-0.855732\pi$
$167$	−5.54488	−	17.0654i	−0.429076	−	1.32056i	0.469961	−	0.882687i	$-0.344268\pi$
$168$	−1.93867	−	1.40853i	−0.149572	−	0.108670i
$169$	−0.809017	+	0.587785i	−0.0622321	+	0.0452143i
$170$	0.448085	−	1.37906i	0.0343666	−	0.105769i
$171$	−0.301123	+	0.926761i	−0.0230275	+	0.0708712i
$172$	14.8300	−	10.7746i	1.13077	−	0.821556i
$173$	14.2526	+	10.3551i	1.08361	+	0.787286i	0.978308	−	0.207154i	$-0.0664202\pi$
$173$	14.2526	+	10.3551i	1.08361	+	0.787286i	0.105298	+	0.994441i	$0.466420\pi$
$174$	−0.276768	−	0.851804i	−0.0209817	−	0.0645751i
$175$	4.81494			0.363976
$176$	−8.08118	+	5.13828i	−0.609142	+	0.387312i
$177$	8.43031			0.633661
$178$	−1.38109	−	4.25055i	−0.103517	−	0.318592i
$179$	8.04396	+	5.84428i	0.601234	+	0.436822i	0.846317	−	0.532680i	$-0.178815\pi$
$179$	8.04396	+	5.84428i	0.601234	+	0.436822i	−0.245083	+	0.969502i	$0.578815\pi$
$180$	1.87983	−	1.36578i	0.140114	−	0.101799i
$181$	−4.14674	+	12.7624i	−0.308225	+	0.948618i	0.670229	+	0.742154i	$0.266196\pi$
$181$	−4.14674	+	12.7624i	−0.308225	+	0.948618i	−0.978454	+	0.206464i	$0.933804\pi$
$182$	−0.194438	+	0.598418i	−0.0144127	+	0.0443577i
$183$	6.00524	−	4.36306i	0.443920	−	0.322527i
$184$	−8.37544	−	6.08512i	−0.617446	−	0.448601i
$185$	−1.16274	−	3.57856i	−0.0854867	−	0.263101i
$186$	−2.44131			−0.179006
$187$	−7.21691	+	4.58875i	−0.527753	+	0.335562i
$188$	12.7934			0.933057
$189$	−0.444263	−	1.36730i	−0.0323154	−	0.0994564i
$190$	0.443318	+	0.322089i	0.0321616	+	0.0233668i
$191$	−0.903240	+	0.656242i	−0.0653562	+	0.0474840i	−0.619984	−	0.784615i	$-0.712861\pi$
$191$	−0.903240	+	0.656242i	−0.0653562	+	0.0474840i	0.554627	+	0.832099i	$0.312861\pi$
$192$	−1.16273	+	3.57853i	−0.0839131	+	0.258258i
$193$	−3.79334	+	11.6747i	−0.273050	+	0.840362i	0.716678	+	0.697404i	$0.245662\pi$
$193$	−3.79334	+	11.6747i	−0.273050	+	0.840362i	−0.989729	+	0.142959i	$0.954338\pi$
$194$	−0.724677	+	0.526509i	−0.0520288	+	0.0378011i
$195$	−1.03947	−	0.755220i	−0.0744380	−	0.0540824i
$196$	2.75683	+	8.48466i	0.196917	+	0.606047i
$197$	17.0904			1.21764			0.608820	−	0.793308i	$-0.291643\pi$
$197$	17.0904			1.21764			0.608820	+	0.793308i	$0.291643\pi$
$198$	1.44878	+	0.0898925i	0.102960	+	0.00638838i
$199$	6.74146			0.477890			0.238945	−	0.971033i	$-0.423198\pi$
$199$	6.74146			0.477890			0.238945	+	0.971033i	$0.423198\pi$
$200$	1.72507	+	5.30920i	0.121981	+	0.375417i
$201$	0.983706	+	0.714704i	0.0693853	+	0.0504113i
$202$	−2.33933	+	1.69963i	−0.164595	+	0.119585i
$203$	0.909143	−	2.79805i	0.0638093	−	0.196385i
$204$	−1.44102	+	4.43502i	−0.100892	+	0.310513i
$205$	−0.678342	+	0.492844i	−0.0473774	+	0.0344217i
$206$	−6.13215	−	4.45527i	−0.427247	−	0.310413i
$207$	−1.91930	−	5.90700i	−0.133401	−	0.410565i
$208$	2.88739			0.200205
$209$	−0.806446	−	3.12967i	−0.0557831	−	0.216484i
$210$	−0.808450			−0.0557883
$211$	6.81504	+	20.9745i	0.469167	+	1.44395i	0.853666	+	0.520822i	$0.174374\pi$
$211$	6.81504	+	20.9745i	0.469167	+	1.44395i	−0.384499	+	0.923126i	$0.625626\pi$
$212$	3.87293	+	2.81385i	0.265994	+	0.193256i
$213$	4.94420	−	3.59217i	0.338771	−	0.246132i
$214$	−0.498510	+	1.53426i	−0.0340774	+	0.104880i
$215$	4.02451	−	12.3862i	0.274469	−	0.844730i
$216$	1.34849	−	0.979734i	0.0917530	−	0.0666624i
$217$	−6.48780	−	4.71366i	−0.440420	−	0.319984i
$218$	0.955427	+	2.94050i	0.0647097	+	0.199156i
$219$	−3.37984			−0.228389
$220$	−2.83076	+	7.16778i	−0.190850	+	0.483251i
$221$	2.57859			0.173455
$222$	−0.396069	−	1.21897i	−0.0265824	−	0.0818122i
$223$	−10.5070	−	7.63376i	−0.703599	−	0.511194i	0.177504	−	0.984120i	$-0.443198\pi$
$223$	−10.5070	−	7.63376i	−0.703599	−	0.511194i	−0.881102	+	0.472926i	$0.843198\pi$
$224$	5.34716	−	3.88494i	0.357272	−	0.259573i
$225$	−1.03494	+	3.18523i	−0.0689962	+	0.212348i
$226$	−2.24396	+	6.90620i	−0.149266	+	0.459394i
$227$	12.1737	−	8.84472i	0.807998	−	0.587045i	−0.105251	−	0.994446i	$-0.533565\pi$
$227$	12.1737	−	8.84472i	0.807998	−	0.587045i	0.913250	+	0.407401i	$0.133565\pi$
$228$	−1.42569	−	1.03583i	−0.0944188	−	0.0685993i
$229$	−8.53201	−	26.2588i	−0.563811	−	1.73523i	−0.671457	−	0.741044i	$-0.734331\pi$
$229$	−8.53201	−	26.2588i	−0.563811	−	1.73523i	0.107646	−	0.994189i	$-0.465669\pi$
$230$	−3.49266			−0.230299
$231$	3.67658	+	3.03618i	0.241901	+	0.199766i
$232$	3.41100			0.223943
$233$	−8.82517	−	27.1611i	−0.578156	−	1.77938i	−0.625171	−	0.780488i	$-0.714971\pi$
$233$	−8.82517	−	27.1611i	−0.578156	−	1.77938i	0.0470144	−	0.998894i	$-0.485029\pi$
$234$	−0.354078	−	0.257253i	−0.0231468	−	0.0168171i
$235$	7.35348	−	5.34262i	0.479688	−	0.348514i
$236$	−4.71121	+	14.4996i	−0.306674	+	0.943845i
$237$	0.354212	−	1.09015i	0.0230085	−	0.0708129i
$238$	1.31262	−	0.953673i	0.0850844	−	0.0618175i
$239$	−12.8898	−	9.36499i	−0.833772	−	0.605771i	0.0868519	−	0.996221i	$-0.472319\pi$
$239$	−12.8898	−	9.36499i	−0.833772	−	0.605771i	−0.920624	+	0.390450i	$0.872319\pi$
$240$	1.14642	+	3.52831i	0.0740009	+	0.227751i
$241$	−28.1126			−1.81089			−0.905445	−	0.424464i	$-0.860462\pi$
$241$	−28.1126			−1.81089			−0.905445	+	0.424464i	$0.860462\pi$
$242$	−4.21479	+	2.32660i	−0.270937	+	0.149559i
$243$	1.00000			0.0641500
$244$	4.14822	+	12.7669i	0.265562	+	0.817317i
$245$	5.12784	+	3.72559i	0.327605	+	0.238019i
$246$	−0.231065	+	0.167879i	−0.0147322	+	0.0107036i
$247$	−0.301123	+	0.926761i	−0.0191600	+	0.0589684i
$248$	2.87312	−	8.84255i	0.182443	−	0.561503i
$249$	0.467191	−	0.339434i	0.0296070	−	0.0215108i
$250$	3.79835	+	2.75966i	0.240229	+	0.174537i
$251$	−3.97355	−	12.2293i	−0.250808	−	0.771908i	−0.994627	−	0.103526i	$-0.966987\pi$
$251$	−3.97355	−	12.2293i	−0.250808	−	0.771908i	0.743819	−	0.668382i	$-0.233013\pi$
$252$	2.59994			0.163781
$253$	15.8835	+	13.1169i	0.998590	+	0.824653i
$254$	−1.73686			−0.108980
$255$	1.02381	+	3.15096i	0.0641135	+	0.197321i
$256$	−2.24942	−	1.63430i	−0.140589	−	0.102144i
$257$	0.760609	−	0.552615i	0.0474455	−	0.0344712i	−0.563810	−	0.825905i	$-0.690665\pi$
$257$	0.760609	−	0.552615i	0.0474455	−	0.0344712i	0.611255	+	0.791434i	$0.290665\pi$
$258$	1.37088	−	4.21914i	0.0853473	−	0.262672i
$259$	1.30103	−	4.00416i	0.0808420	−	0.248806i
$260$	1.87983	−	1.36578i	0.116582	−	0.0847019i
$261$	1.65558	+	1.20285i	0.102478	+	0.0744545i
$262$	−1.01808	−	3.13333i	−0.0628972	−	0.193578i
$263$	26.2655			1.61960			0.809801	−	0.586704i	$-0.199575\pi$
$263$	26.2655			1.61960			0.809801	+	0.586704i	$0.199575\pi$
$264$	−2.03063	+	5.14177i	−0.124977	+	0.316454i
$265$	3.40118			0.208933
$266$	0.189471	+	0.583132i	0.0116172	+	0.0357541i
$267$	8.26143	+	6.00228i	0.505591	+	0.367334i
$268$	−1.77898	+	1.29251i	−0.108669	+	0.0789524i
$269$	2.39286	−	7.36447i	0.145895	−	0.449020i	−0.851230	−	0.524793i	$-0.824143\pi$
$269$	2.39286	−	7.36447i	0.145895	−	0.449020i	0.997125	+	0.0757737i	$0.0241426\pi$
$270$	0.173771	−	0.534813i	0.0105754	−	0.0325477i
$271$	−24.7492	+	17.9813i	−1.50341	+	1.09229i	−0.534407	+	0.845227i	$0.679465\pi$
$271$	−24.7492	+	17.9813i	−1.50341	+	1.09229i	−0.969000	+	0.247062i	$0.920535\pi$
$272$	−6.02346	−	4.37630i	−0.365226	−	0.265352i
$273$	−0.444263	−	1.36730i	−0.0268880	−	0.0827528i
$274$	−5.54256			−0.334838
$275$	−2.77171	−	10.7565i	−0.167140	−	0.648641i
$276$	11.2323			0.676103
$277$	0.213020	+	0.655608i	0.0127991	+	0.0393917i	0.957252	−	0.289255i	$-0.0934075\pi$
$277$	0.213020	+	0.655608i	0.0127991	+	0.0393917i	−0.944453	+	0.328647i	$0.893408\pi$
$278$	6.27385	+	4.55822i	0.376281	+	0.273384i
$279$	4.51273	−	3.27869i	0.270170	−	0.196290i
$280$	0.951445	−	2.92825i	0.0568597	−	0.174996i
$281$	−0.852520	+	2.62379i	−0.0508571	+	0.156522i	−0.973260	−	0.229708i	$-0.926223\pi$
$281$	−0.852520	+	2.62379i	−0.0508571	+	0.156522i	0.922403	+	0.386230i	$0.126223\pi$
$282$	2.50484	−	1.81987i	0.149161	−	0.108372i
$283$	−24.0396	−	17.4658i	−1.42900	−	1.03823i	−0.990201	−	0.139648i	$-0.955403\pi$
$283$	−24.0396	−	17.4658i	−1.42900	−	1.03823i	−0.438802	−	0.898584i	$-0.644597\pi$
$284$	3.41529	+	10.5112i	0.202660	+	0.623723i
$285$	−1.25203			−0.0741641
$286$	1.44878	+	0.0898925i	0.0856683	+	0.00531545i
$287$	−0.938196			−0.0553800
$288$	1.42066	+	4.37234i	0.0837132	+	0.257643i
$289$	8.37403	+	6.08409i	0.492590	+	0.357888i
$290$	0.930991	−	0.676405i	0.0546697	−	0.0397199i
$291$	0.632453	−	1.94649i	0.0370751	−	0.114105i
$292$	1.88880	−	5.81312i	0.110533	−	0.340187i
$293$	16.9801	−	12.3367i	0.991986	−	0.720720i	0.0316312	−	0.999500i	$-0.489930\pi$
$293$	16.9801	−	12.3367i	0.991986	−	0.720720i	0.960355	+	0.278779i	$0.0899298\pi$
$294$	1.74671	+	1.26906i	0.101870	+	0.0740130i
$295$	3.34719	+	10.3016i	0.194881	+	0.599782i
$296$	4.88131			0.283721
$297$	−2.79878	+	1.77956i	−0.162402	+	0.103260i
$298$	0.545094			0.0315765
$299$	−1.91930	−	5.90700i	−0.110996	−	0.341611i
$300$	−4.90002	−	3.56007i	−0.282903	−	0.205541i
$301$	11.7894	−	8.56549i	0.679529	−	0.493707i
$302$	0.708772	−	2.18138i	0.0407852	−	0.125524i
$303$	2.04162	−	6.28347i	0.117288	−	0.360976i
$304$	2.27628	−	1.65381i	0.130553	−	0.0948526i
$305$	7.71587	+	5.60591i	0.441810	+	0.320993i
$306$	0.348743	+	1.07332i	0.0199363	+	0.0613577i
$307$	−18.8625			−1.07654			−0.538269	−	0.842773i	$-0.680921\pi$
$307$	−18.8625			−1.07654			−0.538269	+	0.842773i	$0.680921\pi$
$308$	−7.27668	+	4.62675i	−0.414627	+	0.263633i
$309$	17.3187			0.985224
$310$	−0.969304	−	2.98321i	−0.0550528	−	0.169435i
$311$	−26.6079	−	19.3318i	−1.50879	−	1.09620i	−0.966708	−	0.255880i	$-0.917635\pi$
$311$	−26.6079	−	19.3318i	−1.50879	−	1.09620i	−0.542086	−	0.840323i	$-0.682365\pi$
$312$	1.34849	−	0.979734i	0.0763431	−	0.0554665i
$313$	0.962078	−	2.96097i	0.0543799	−	0.167364i	−0.920178	−	0.391500i	$-0.871956\pi$
$313$	0.962078	−	2.96097i	0.0543799	−	0.167364i	0.974558	+	0.224136i	$0.0719561\pi$
$314$	−1.63642	+	5.03637i	−0.0923483	+	0.284219i
$315$	1.49441	−	1.08575i	0.0842005	−	0.0611752i
$316$	1.67704	+	1.21844i	0.0943411	+	0.0685428i
$317$	3.38822	+	10.4279i	0.190301	+	0.585688i	0.999999	−	0.00115924i	$-0.000368999\pi$
$317$	3.38822	+	10.4279i	0.190301	+	0.585688i	−0.809698	+	0.586847i	$0.800369\pi$
$318$	1.15855			0.0649685
$319$	−6.77414	−	0.420315i	−0.379279	−	0.0235331i
$320$	−4.83451			−0.270257
$321$	−1.13902	−	3.50555i	−0.0635741	−	0.195661i
$322$	−3.16167	−	2.29709i	−0.176193	−	0.128012i
$323$	2.03283	−	1.47694i	0.113110	−	0.0821791i
$324$	−0.558842	+	1.71994i	−0.0310468	+	0.0955521i
$325$	−1.03494	+	3.18523i	−0.0574083	+	0.176685i
$326$	6.93878	−	5.04132i	0.384304	−	0.279213i
$327$	−5.71520	−	4.15234i	−0.316051	−	0.229625i
$328$	−0.336131	−	1.03450i	−0.0185597	−	0.0571209i
$329$	10.1704			0.560713
$330$	0.465382	+	1.80606i	0.0256184	+	0.0994204i
$331$	−17.7501			−0.975633			−0.487816	−	0.872946i	$-0.662206\pi$
$331$	−17.7501			−0.975633			−0.487816	+	0.872946i	$0.662206\pi$
$332$	0.322720	+	0.993229i	0.0177116	+	0.0545105i
$333$	2.36922	+	1.72134i	0.129832	+	0.0943287i
$334$	6.35344	−	4.61604i	0.347645	−	0.252579i
$335$	−0.482775	+	1.48583i	−0.0263768	+	0.0811794i
$336$	−1.28276	+	3.94793i	−0.0699803	+	0.215377i
$337$	−4.92416	+	3.57761i	−0.268236	+	0.194885i	−0.713770	−	0.700380i	$-0.753014\pi$
$337$	−4.92416	+	3.57761i	−0.268236	+	0.194885i	0.445534	+	0.895265i	$0.353014\pi$
$338$	−0.354078	−	0.257253i	−0.0192593	−	0.0139927i
$339$	−5.12713	−	15.7797i	−0.278467	−	0.857035i
$340$	−5.99161			−0.324941
$341$	−6.79554	+	17.2070i	−0.367999	+	0.931812i
$342$	−0.426484			−0.0230616
$343$	5.30144	+	16.3162i	0.286251	+	0.880990i
$344$	13.6686	+	9.93080i	0.736960	+	0.535433i
$345$	6.45614	−	4.69066i	0.347587	−	0.252537i
$346$	−2.38265	+	7.33305i	−0.128092	+	0.394227i
$347$	5.40552	−	16.6365i	0.290183	−	0.893092i	−0.694614	−	0.719383i	$-0.744425\pi$
$347$	5.40552	−	16.6365i	0.290183	−	0.893092i	0.984797	−	0.173709i	$-0.0555753\pi$
$348$	−2.99403	+	2.17529i	−0.160497	+	0.116608i
$349$	−29.8267	−	21.6704i	−1.59659	−	1.15999i	−0.893679	−	0.448706i	$-0.851885\pi$
$349$	−29.8267	−	21.6704i	−1.59659	−	1.15999i	−0.702907	−	0.711282i	$-0.748115\pi$
$350$	0.651201	+	2.00419i	0.0348081	+	0.107128i
$351$	1.00000			0.0533761
$352$	−11.7569	−	9.70909i	−0.626647	−	0.517496i
$353$	29.8575			1.58915			0.794576	−	0.607165i	$-0.207693\pi$
$353$	29.8575			1.58915			0.794576	+	0.607165i	$0.207693\pi$
$354$	1.14016	+	3.50906i	0.0605990	+	0.186505i
$355$	6.35259	+	4.61542i	0.337160	+	0.244961i
$356$	−14.9404	+	10.8548i	−0.791839	+	0.575305i
$357$	−1.14557	+	3.52571i	−0.0606301	+	0.186600i
$358$	−1.34473	+	4.13866i	−0.0710713	+	0.218735i
$359$	−17.7334	+	12.8841i	−0.935933	+	0.679995i	−0.947438	−	0.319938i	$-0.896338\pi$
$359$	−17.7334	+	12.8841i	−0.935933	+	0.679995i	0.0115049	+	0.999934i	$0.496338\pi$
$360$	1.73261	+	1.25882i	0.0913167	+	0.0663455i
$361$	−5.57789	−	17.1670i	−0.293573	−	0.903526i
$362$	−5.87307			−0.308682
$363$	4.66636	−	9.96118i	0.244920	−	0.522826i
$364$	2.59994			0.136274
$365$	−1.34194	−	4.13007i	−0.0702404	−	0.216178i
$366$	2.62828	+	1.90956i	0.137382	+	0.0998141i
$367$	−10.6764	+	7.75688i	−0.557305	+	0.404906i	−0.830472	−	0.557061i	$-0.811929\pi$
$367$	−10.6764	+	7.75688i	−0.557305	+	0.404906i	0.273167	+	0.961967i	$0.411929\pi$
$368$	−5.54177	+	17.0558i	−0.288885	+	0.889097i
$369$	0.201659	−	0.620644i	0.0104980	−	0.0323094i
$370$	1.33230	−	0.967969i	0.0692628	−	0.0503223i
$371$	3.07886	+	2.23693i	0.159847	+	0.116135i
$372$	3.11724	+	9.59389i	0.161622	+	0.497420i
$373$	19.0403			0.985868			0.492934	−	0.870067i	$-0.335924\pi$
$373$	19.0403			0.985868			0.492934	+	0.870067i	$0.335924\pi$
$374$	−2.88609	−	2.38338i	−0.149236	−	0.123242i
$375$	−10.7275			−0.553963
$376$	3.64378	+	11.2144i	0.187914	+	0.578339i
$377$	1.65558	+	1.20285i	0.0852667	+	0.0619499i
$378$	0.509045	−	0.369843i	0.0261825	−	0.0190227i
$379$	−3.04971	+	9.38603i	−0.156653	+	0.482128i	−0.998325	−	0.0578616i	$-0.981572\pi$
$379$	−3.04971	+	9.38603i	−0.156653	+	0.482128i	0.841672	+	0.539989i	$0.181572\pi$
$380$	0.699689	−	2.15342i	0.0358933	−	0.110468i
$381$	3.21057	−	2.33261i	0.164482	−	0.119503i
$382$	−0.395316	−	0.287214i	−0.0202261	−	0.0146951i
$383$	3.14783	+	9.68803i	0.160847	+	0.495035i	0.998706	−	0.0508505i	$-0.0161932\pi$
$383$	3.14783	+	9.68803i	0.160847	+	0.495035i	−0.837860	+	0.545886i	$0.816193\pi$
$384$	−10.8415			−0.553253
$385$	−2.25037	+	5.69817i	−0.114689	+	0.290406i
$386$	−5.37254			−0.273455
$387$	3.13227	+	9.64012i	0.159222	+	0.490035i
$388$	2.99440	+	2.17556i	0.152018	+	0.110447i
$389$	−16.4999	+	11.9879i	−0.836579	+	0.607810i	−0.921413	−	0.388585i	$-0.872964\pi$
$389$	−16.4999	+	11.9879i	−0.836579	+	0.607810i	0.0848337	+	0.996395i	$0.472964\pi$
$390$	0.173771	−	0.534813i	0.00879925	−	0.0270813i
$391$	−4.94909	+	15.2317i	−0.250286	+	0.770302i
$392$	−6.65225	+	4.83315i	−0.335990	+	0.244111i
$393$	6.08998	+	4.42463i	0.307199	+	0.223193i
$394$	2.31140	+	7.11377i	0.116447	+	0.358386i
$395$	1.47277			0.0741031
$396$	−1.49665	−	5.80822i	−0.0752095	−	0.291874i
$397$	−28.0760			−1.40910			−0.704548	−	0.709657i	$-0.748850\pi$
$397$	−28.0760			−1.40910			−0.704548	+	0.709657i	$0.748850\pi$
$398$	0.911754	+	2.80609i	0.0457021	+	0.140657i
$399$	−1.13338	−	0.823451i	−0.0567401	−	0.0412241i
$400$	7.82343	−	5.68405i	0.391171	−	0.284203i
$401$	0.411523	−	1.26654i	0.0205505	−	0.0632479i	−0.940255	−	0.340470i	$-0.889414\pi$
$401$	0.411523	−	1.26654i	0.0205505	−	0.0632479i	0.960806	+	0.277222i	$0.0894138\pi$
$402$	−0.164449	+	0.506122i	−0.00820197	+	0.0252431i
$403$	4.51273	−	3.27869i	0.224795	−	0.163323i
$404$	9.66624	+	7.02294i	0.480914	+	0.349404i
$405$	0.397042	+	1.22197i	0.0197292	+	0.0607202i
$406$	1.28763			0.0639040
$407$	−9.69414	−	0.601492i	−0.480521	−	0.0298148i
$408$	−4.29805			−0.212785
$409$	1.96350	+	6.04302i	0.0970887	+	0.298808i	0.987792	−	0.155776i	$-0.0497878\pi$
$409$	1.96350	+	6.04302i	0.0970887	+	0.298808i	−0.890704	+	0.454584i	$0.849788\pi$
$410$	−0.296886	−	0.215700i	−0.0146622	−	0.0106527i
$411$	10.2454	−	7.44368i	0.505366	−	0.367170i
$412$	−9.67839	+	29.7870i	−0.476820	+	1.46750i
$413$	−3.74527	+	11.5268i	−0.184293	+	0.567195i
$414$	2.19917	−	1.59779i	0.108083	−	0.0785273i
$415$	0.600273	+	0.436124i	0.0294663	+	0.0214085i
$416$	1.42066	+	4.37234i	0.0696536	+	0.214372i
$417$	−17.7189			−0.867696
$418$	1.19364	−	0.758952i	0.0583826	−	0.0371216i
$419$	−15.7355			−0.768731			−0.384365	−	0.923181i	$-0.625580\pi$
$419$	−15.7355			−0.768731			−0.384365	+	0.923181i	$0.625580\pi$
$420$	1.03229	+	3.17706i	0.0503705	+	0.155024i
$421$	12.2147	+	8.87451i	0.595309	+	0.432517i	0.844211	−	0.536012i	$-0.180070\pi$
$421$	12.2147	+	8.87451i	0.595309	+	0.432517i	−0.248902	+	0.968529i	$0.580070\pi$
$422$	−7.80881	+	5.67343i	−0.380127	+	0.276178i
$423$	−2.18607	+	6.72802i	−0.106290	+	0.327127i
$424$	−1.36347	+	4.19634i	−0.0662162	+	0.203792i
$425$	6.98673	−	5.07616i	0.338906	−	0.246230i
$426$	2.16390	+	1.57217i	0.104841	+	0.0761717i
$427$	3.29771	+	10.1493i	0.159587	+	0.491160i
$428$	6.66587			0.322207
$429$	−2.79878	+	1.77956i	−0.135126	+	0.0859178i
$430$	5.69996			0.274877
$431$	−2.22752	−	6.85559i	−0.107296	−	0.330222i	0.882967	−	0.469436i	$-0.155543\pi$
$431$	−2.22752	−	6.85559i	−0.107296	−	0.330222i	−0.990262	+	0.139214i	$0.955543\pi$
$432$	−2.33595	−	1.69717i	−0.112388	−	0.0816549i
$433$	−4.97228	+	3.61257i	−0.238952	+	0.173609i	−0.700816	−	0.713342i	$-0.747181\pi$
$433$	−4.97228	+	3.61257i	−0.238952	+	0.173609i	0.461864	+	0.886951i	$0.347181\pi$
$434$	1.08458	−	3.33800i	0.0520617	−	0.160229i
$435$	−0.812511	+	2.50065i	−0.0389569	+	0.119897i
$436$	10.3357	−	7.50929i	0.494988	−	0.359630i
$437$	−4.89644	−	3.55747i	−0.234228	−	0.170177i
$438$	−0.457109	−	1.40684i	−0.0218415	−	0.0672213i
$439$	−0.439511			−0.0209767			−0.0104883	−	0.999945i	$-0.503339\pi$
$439$	−0.439511			−0.0209767			−0.0104883	+	0.999945i	$0.503339\pi$
$440$	−7.08934	−	0.439872i	−0.337971	−	0.0209701i
$441$	−4.93312			−0.234911
$442$	0.348743	+	1.07332i	0.0165880	+	0.0510527i
$443$	3.27352	+	2.37835i	0.155530	+	0.112999i	0.662828	−	0.748771i	$-0.269356\pi$
$443$	3.27352	+	2.37835i	0.155530	+	0.112999i	−0.507299	+	0.861770i	$0.669356\pi$
$444$	−4.28461	+	3.11295i	−0.203339	+	0.147734i
$445$	−4.05447	+	12.4784i	−0.192201	+	0.591532i
$446$	1.75648	−	5.40589i	0.0831717	−	0.255976i
$447$	−1.00760	+	0.732064i	−0.0476578	+	0.0346254i
$448$	−4.37636	−	3.17961i	−0.206764	−	0.150223i
$449$	3.64582	+	11.2207i	0.172057	+	0.529537i	0.999487	−	0.0320322i	$-0.0101979\pi$
$449$	3.64582	+	11.2207i	0.172057	+	0.529537i	−0.827430	+	0.561569i	$0.810198\pi$
$450$	−1.46580			−0.0690985
$451$	0.540070	+	2.09591i	0.0254309	+	0.0986926i
$452$	30.0053			1.41133
$453$	1.61944	+	4.98413i	0.0760880	+	0.234175i
$454$	5.32800	+	3.87102i	0.250055	+	0.181676i
$455$	1.49441	−	1.08575i	0.0700590	−	0.0509009i
$456$	0.501919	−	1.54475i	0.0235045	−	0.0723394i
$457$	4.09918	−	12.6160i	0.191752	−	0.590151i	−0.808248	−	0.588843i	$-0.799584\pi$
$457$	4.09918	−	12.6160i	0.191752	−	0.590151i	0.999999	−	0.00130780i	$-0.000416285\pi$
$458$	9.77615	−	7.10279i	0.456810	−	0.331892i
$459$	−2.08612	−	1.51566i	−0.0973719	−	0.0707448i
$460$	4.45969	+	13.7255i	0.207934	+	0.639955i
$461$	12.1573			0.566221			0.283110	−	0.959087i	$-0.408634\pi$
$461$	12.1573			0.566221			0.283110	+	0.959087i	$0.408634\pi$
$462$	−0.766550	+	1.94098i	−0.0356631	+	0.0903027i
$463$	6.61491			0.307421			0.153711	−	0.988116i	$-0.450878\pi$
$463$	6.61491			0.307421			0.153711	+	0.988116i	$0.450878\pi$
$464$	−1.82591	−	5.61958i	−0.0847659	−	0.260883i
$465$	5.79821	+	4.21265i	0.268886	+	0.195357i
$466$	10.1121	−	7.34684i	0.468432	−	0.340336i
$467$	−2.31090	+	7.11221i	−0.106936	+	0.329114i	−0.990180	−	0.139799i	$-0.955354\pi$
$467$	−2.31090	+	7.11221i	−0.106936	+	0.329114i	0.883244	+	0.468913i	$0.155354\pi$
$468$	−0.558842	+	1.71994i	−0.0258325	+	0.0795042i
$469$	−1.41424	+	1.02750i	−0.0653035	+	0.0474457i
$470$	3.21836	+	2.33827i	0.148452	+	0.107856i
$471$	−3.73897	−	11.5074i	−0.172283	−	0.530232i
$472$	−14.0518			−0.646788
$473$	−25.9217	−	21.4066i	−1.19188	−	0.984274i
$474$	0.501674			0.0230426
$475$	1.00850	+	3.10386i	0.0462734	+	0.142415i
$476$	−5.42381	−	3.94063i	−0.248600	−	0.180618i
$477$	−2.14157	+	1.55594i	−0.0980559	+	0.0712418i
$478$	2.15483	−	6.63187i	0.0985594	−	0.303335i
$479$	−2.57829	+	7.93517i	−0.117805	+	0.362567i	−0.992522	−	0.122068i	$-0.961047\pi$
$479$	−2.57829	+	7.93517i	−0.117805	+	0.362567i	0.874717	+	0.484635i	$0.161047\pi$
$480$	−4.77881	+	3.47201i	−0.218122	+	0.158475i
$481$	2.36922	+	1.72134i	0.108027	+	0.0784862i
$482$	−3.80210	−	11.7017i	−0.173181	−	0.532996i
$483$	8.92932			0.406298
$484$	14.5249	+	13.5926i	0.660221	+	0.617844i
$485$	2.62967			0.119407
$486$	0.135246	+	0.416243i	0.00613487	+	0.0188812i
$487$	1.70029	+	1.23533i	0.0770474	+	0.0559782i	0.625642	−	0.780110i	$-0.284837\pi$
$487$	1.70029	+	1.23533i	0.0770474	+	0.0559782i	−0.548595	+	0.836088i	$0.684837\pi$
$488$	−10.0097	+	7.27245i	−0.453116	+	0.329208i
$489$	−6.05573	+	18.6376i	−0.273850	+	0.842823i
$490$	−0.857235	+	2.63830i	−0.0387259	+	0.119186i
$491$	−0.809385	+	0.588052i	−0.0365270	+	0.0265384i	−0.605899	−	0.795542i	$-0.707186\pi$
$491$	−0.809385	+	0.588052i	−0.0365270	+	0.0265384i	0.569372	+	0.822080i	$0.307186\pi$
$492$	0.954774	+	0.693684i	0.0430445	+	0.0312737i
$493$	−1.63064	−	5.01858i	−0.0734402	−	0.226026i
$494$	−0.426484			−0.0191884
$495$	−3.28580	−	2.71347i	−0.147686	−	0.121961i
$496$	−16.1060			−0.723181
$497$	2.71505	+	8.35607i	0.121787	+	0.374821i
$498$	0.204473	+	0.148558i	0.00916264	+	0.00665705i
$499$	19.1062	−	13.8815i	0.855310	−	0.621419i	−0.0712950	−	0.997455i	$-0.522713\pi$
$499$	19.1062	−	13.8815i	0.855310	−	0.621419i	0.926605	+	0.376036i	$0.122713\pi$
$500$	5.99495	−	18.4506i	0.268102	−	0.825134i
$501$	−5.54488	+	17.0654i	−0.247727	+	0.762426i
$502$	4.55297	−	3.30793i	0.203209	−	0.147640i
$503$	12.9599	+	9.41590i	0.577852	+	0.419834i	0.837949	−	0.545748i	$-0.183755\pi$
$503$	12.9599	+	9.41590i	0.577852	+	0.419834i	−0.260097	+	0.965583i	$0.583755\pi$
$504$	0.740507	+	2.27905i	0.0329848	+	0.101517i
$505$	8.48884			0.377748
$506$	−3.31164	+	8.38543i	−0.147221	+	0.372778i
$507$	1.00000			0.0444116
$508$	2.21775	+	6.82554i	0.0983968	+	0.302834i
$509$	−13.2781	−	9.64708i	−0.588540	−	0.427599i	0.253253	−	0.967400i	$-0.418499\pi$
$509$	−13.2781	−	9.64708i	−0.588540	−	0.427599i	−0.841793	+	0.539801i	$0.818499\pi$
$510$	−1.17310	+	0.852309i	−0.0519458	+	0.0377409i
$511$	1.50154	−	4.62126i	0.0664241	−	0.204432i
$512$	7.07646	−	21.7791i	0.312738	−	0.962509i
$513$	0.788350	−	0.572770i	0.0348065	−	0.0252884i
$514$	0.332891	+	0.241860i	0.0146832	+	0.0106680i
$515$	6.87624	+	21.1629i	0.303003	+	0.932548i
$516$	−18.3309			−0.806971
$517$	−5.85456	−	22.7205i	−0.257483	−	0.999245i
$518$	1.84266			0.0809620
$519$	−5.44402	−	16.7550i	−0.238966	−	0.735461i
$520$	1.73261	+	1.25882i	0.0759801	+	0.0552028i
$521$	−19.7559	+	14.3535i	−0.865520	+	0.628837i	−0.929381	−	0.369122i	$-0.879659\pi$
$521$	−19.7559	+	14.3535i	−0.865520	+	0.628837i	0.0638609	+	0.997959i	$0.479659\pi$
$522$	−0.276768	+	0.851804i	−0.0121138	+	0.0372824i
$523$	5.51512	−	16.9738i	0.241160	−	0.742213i	−0.755085	−	0.655627i	$-0.772404\pi$
$523$	5.51512	−	16.9738i	0.241160	−	0.742213i	0.996244	−	0.0865857i	$-0.0275956\pi$
$524$	−11.0134	+	8.00173i	−0.481124	+	0.349557i
$525$	−3.89537	−	2.83015i	−0.170008	−	0.123518i
$526$	3.55230	+	10.9329i	0.154888	+	0.476695i
$527$	−14.3835			−0.626555
$528$	9.55801	+	0.593045i	0.415959	+	0.0258090i
$529$	15.5764			0.677235
$530$	0.459995	+	1.41572i	0.0199809	+	0.0614950i
$531$	−6.82027	−	4.95521i	−0.295974	−	0.215038i
$532$	2.04967	−	1.48917i	0.0888643	−	0.0645637i
$533$	0.201659	−	0.620644i	0.00873484	−	0.0268831i
$534$	−1.38109	+	4.25055i	−0.0597655	+	0.183939i
$535$	3.83144	−	2.78371i	0.165648	−	0.120350i
$536$	−1.63966	−	1.19128i	−0.0708226	−	0.0514557i
$537$	−3.07252	−	9.45624i	−0.132589	−	0.408067i
$538$	3.38904			0.146112
$539$	13.8067	−	8.77877i	0.594698	−	0.378128i
$540$	−2.32360			−0.0999918
$541$	−13.7082	−	42.1896i	−0.589362	−	1.81387i	−0.580997	−	0.813906i	$-0.697337\pi$
$541$	−13.7082	−	42.1896i	−0.589362	−	1.81387i	−0.00836592	−	0.999965i	$-0.502663\pi$
$542$	−10.8318	−	7.86979i	−0.465267	−	0.338037i
$543$	10.8563	−	7.88757i	0.465889	−	0.338488i
$544$	3.66330	−	11.2745i	0.157063	−	0.483389i
$545$	2.80486	−	8.63246i	0.120147	−	0.369774i
$546$	0.509045	−	0.369843i	0.0217851	−	0.0158278i
$547$	33.2158	+	24.1327i	1.42020	+	1.03184i	0.991738	+	0.128282i	$0.0409462\pi$
$547$	33.2158	+	24.1327i	1.42020	+	1.03184i	0.428467	+	0.903557i	$0.359054\pi$
$548$	7.07715	+	21.7812i	0.302321	+	0.930447i
$549$	−7.42289			−0.316801
$550$	4.10246	−	2.60847i	0.174929	−	0.111226i
$551$	1.99413			0.0849529
$552$	3.19913	+	9.84592i	0.136164	+	0.419070i
$553$	1.33320	+	0.968627i	0.0566935	+	0.0411902i
$554$	−0.244082	+	0.177336i	−0.0103701	+	0.00753430i
$555$	−1.16274	+	3.57856i	−0.0493558	+	0.151901i
$556$	9.90203	−	30.4753i	0.419940	−	1.29244i
$557$	−18.7252	+	13.6047i	−0.793412	+	0.576448i	−0.908974	−	0.416852i	$-0.863133\pi$
$557$	−18.7252	+	13.6047i	−0.793412	+	0.576448i	0.115562	+	0.993300i	$0.463133\pi$
$558$	1.97506	+	1.43497i	0.0836111	+	0.0607470i
$559$	3.13227	+	9.64012i	0.132481	+	0.407734i
$560$	−5.33357			−0.225384
$561$	8.53580	+	0.529620i	0.360382	+	0.0223606i
$562$	−1.20743			−0.0509325
$563$	−8.43816	−	25.9700i	−0.355626	−	1.09450i	−0.955646	−	0.294519i	$-0.904841\pi$
$563$	−8.43816	−	25.9700i	−0.355626	−	1.09450i	0.600020	−	0.799985i	$-0.295159\pi$
$564$	−10.3501	−	7.51979i	−0.435818	−	0.316640i
$565$	17.2466	−	12.5304i	0.725571	−	0.527158i
$566$	4.01876	−	12.3685i	0.168921	−	0.519886i
$567$	−0.444263	+	1.36730i	−0.0186573	+	0.0574212i
$568$	−8.24110	+	5.98751i	−0.345789	+	0.251230i
$569$	4.51344	+	3.27920i	0.189213	+	0.137471i	0.678359	−	0.734731i	$-0.262691\pi$
$569$	4.51344	+	3.27920i	0.189213	+	0.137471i	−0.489146	+	0.872202i	$0.662691\pi$
$570$	−0.169332	−	0.521151i	−0.00709255	−	0.0218286i
$571$	29.9347			1.25273			0.626363	−	0.779531i	$-0.284543\pi$
$571$	29.9347			1.25273			0.626363	+	0.779531i	$0.284543\pi$
$572$	−1.49665	−	5.80822i	−0.0625781	−	0.242854i
$573$	1.11647			0.0466410
$574$	−0.126887	−	0.390518i	−0.00529616	−	0.0162999i
$575$	−16.8288	−	12.2268i	−0.701808	−	0.509893i
$576$	3.04408	−	2.21165i	0.126837	−	0.0921521i
$577$	2.94315	−	9.05808i	0.122525	−	0.377093i	−0.870917	−	0.491430i	$-0.836474\pi$
$577$	2.94315	−	9.05808i	0.122525	−	0.377093i	0.993442	+	0.114337i	$0.0364744\pi$
$578$	−1.39991	+	4.30848i	−0.0582286	+	0.179209i
$579$	9.93108	−	7.21535i	0.412722	−	0.299860i
$580$	−3.84690	−	2.79494i	−0.159734	−	0.116053i
$581$	0.256553	+	0.789588i	0.0106436	+	0.0327576i
$582$	0.895750			0.0371300
$583$	3.22491	−	8.16580i	0.133562	−	0.338193i
$584$	5.63360			0.233120
$585$	0.397042	+	1.22197i	0.0164157	+	0.0505223i
$586$	7.43157	+	5.39935i	0.306995	+	0.223045i
$587$	−4.82644	+	3.50662i	−0.199209	+	0.144734i	−0.682918	−	0.730495i	$-0.739289\pi$
$587$	−4.82644	+	3.50662i	−0.199209	+	0.144734i	0.483709	+	0.875229i	$0.339289\pi$
$588$	2.75683	−	8.48466i	0.113690	−	0.349902i
$589$	1.67968	−	5.16952i	0.0692099	−	0.213006i
$590$	−3.83528	+	2.78649i	−0.157896	+	0.114718i
$591$	−13.8264	−	10.0455i	−0.568743	−	0.413216i
$592$	−2.61298	−	8.04191i	−0.107393	−	0.330521i
$593$	24.0761			0.988687			0.494343	−	0.869267i	$-0.335409\pi$
$593$	24.0761			0.988687			0.494343	+	0.869267i	$0.335409\pi$
$594$	−1.11925	−	0.924297i	−0.0459235	−	0.0379244i
$595$	−4.76315			−0.195270
$596$	−0.696016	−	2.14212i	−0.0285099	−	0.0877445i
$597$	−5.45396	−	3.96253i	−0.223216	−	0.162176i
$598$	2.19917	−	1.59779i	0.0899309	−	0.0653386i
$599$	13.1214	−	40.3836i	0.536127	−	1.65003i	−0.205075	−	0.978746i	$-0.565744\pi$
$599$	13.1214	−	40.3836i	0.536127	−	1.65003i	0.741202	−	0.671282i	$-0.234256\pi$
$600$	1.72507	−	5.30920i	0.0704255	−	0.216747i
$601$	2.75203	−	1.99946i	0.112258	−	0.0815598i	−0.530240	−	0.847847i	$-0.677898\pi$
$601$	2.75203	−	1.99946i	0.112258	−	0.0815598i	0.642498	+	0.766288i	$0.277898\pi$
$602$	5.15979	+	3.74881i	0.210298	+	0.152790i
$603$	−0.375742	−	1.15642i	−0.0153014	−	0.0470929i
$604$	−9.47741			−0.385630
$605$	14.0250	+	1.74714i	0.570198	+	0.0710315i
$606$	2.89158			0.117462
$607$	−2.00090	−	6.15815i	−0.0812142	−	0.249952i	0.902202	−	0.431313i	$-0.141950\pi$
$607$	−2.00090	−	6.15815i	−0.0812142	−	0.249952i	−0.983416	+	0.181362i	$0.941950\pi$
$608$	3.62432	+	2.63323i	0.146986	+	0.106791i
$609$	−2.38017	+	1.72929i	−0.0964492	+	0.0700745i
$610$	−1.28988	+	3.96986i	−0.0522259	+	0.160735i
$611$	−2.18607	+	6.72802i	−0.0884387	+	0.272186i
$612$	3.77265	−	2.74099i	0.152500	−	0.110798i
$613$	22.7365	+	16.5191i	0.918320	+	0.667198i	0.943105	−	0.332495i	$-0.107890\pi$
$613$	22.7365	+	16.5191i	0.918320	+	0.667198i	−0.0247856	+	0.999693i	$0.507890\pi$
$614$	−2.55107	−	7.85137i	−0.102953	−	0.316856i
$615$	0.838477			0.0338106
$616$	−6.12821	−	5.06078i	−0.246913	−	0.203905i
$617$	−46.1171			−1.85660			−0.928302	−	0.371827i	$-0.878731\pi$
$617$	−46.1171			−1.85660			−0.928302	+	0.371827i	$0.878731\pi$
$618$	2.34227	+	7.20878i	0.0942200	+	0.289979i
$619$	4.15050	+	3.01551i	0.166823	+	0.121204i	0.668064	−	0.744104i	$-0.267123\pi$
$619$	4.15050	+	3.01551i	0.166823	+	0.121204i	−0.501241	+	0.865307i	$0.667123\pi$
$620$	−10.4858	+	7.61837i	−0.421119	+	0.305961i
$621$	−1.91930	+	5.90700i	−0.0770189	+	0.237040i
$622$	4.44812	−	13.6899i	0.178353	−	0.548915i
$623$	−11.8772	+	8.62927i	−0.475849	+	0.345724i
$624$	−2.33595	−	1.69717i	−0.0935128	−	0.0679410i
$625$	0.915458	+	2.81749i	0.0366183	+	0.112700i
$626$	1.36260			0.0544605
$627$	−1.18714	+	3.00597i	−0.0474100	+	0.120047i
$628$	21.8815			0.873166
$629$	−2.33352	−	7.18185i	−0.0930437	−	0.286359i
$630$	0.654050	+	0.475195i	0.0260580	+	0.0189322i
$631$	1.05551	−	0.766872i	0.0420191	−	0.0305287i	−0.566577	−	0.824008i	$-0.691733\pi$
$631$	1.05551	−	0.766872i	0.0420191	−	0.0305287i	0.608597	+	0.793480i	$0.291733\pi$
$632$	−0.590408	+	1.81709i	−0.0234852	+	0.0722799i
$633$	6.81504	−	20.9745i	0.270874	−	0.833663i
$634$	−3.88229	+	2.82065i	−0.154186	+	0.112022i
$635$	4.12512	+	2.99707i	0.163700	+	0.118935i
$636$	−1.47933	−	4.55290i	−0.0586591	−	0.180534i
$637$	−4.93312			−0.195457
$638$	−0.741220	−	2.87654i	−0.0293452	−	0.113883i
$639$	−6.11137			−0.241762
$640$	−4.30454	−	13.2480i	−0.170152	−	0.523673i
$641$	11.0961	+	8.06181i	0.438271	+	0.318422i	0.784947	−	0.619562i	$-0.212690\pi$
$641$	11.0961	+	8.06181i	0.438271	+	0.318422i	−0.346677	+	0.937985i	$0.612690\pi$
$642$	1.30512	−	0.948222i	0.0515088	−	0.0374233i
$643$	8.01404	−	24.6647i	0.316043	−	0.972680i	−0.659280	−	0.751897i	$-0.729139\pi$
$643$	8.01404	−	24.6647i	0.316043	−	0.972680i	0.975323	−	0.220783i	$-0.0708612\pi$
$644$	−4.99008	+	15.3579i	−0.196637	+	0.605185i
$645$	−10.5363	+	7.65507i	−0.414867	+	0.301418i
$646$	0.889698	+	0.646404i	0.0350047	+	0.0254324i
$647$	3.63696	+	11.1934i	0.142984	+	0.440059i	0.996746	−	0.0806040i	$-0.0256849\pi$
$647$	3.63696	+	11.1934i	0.142984	+	0.440059i	−0.853762	+	0.520663i	$0.825685\pi$
$648$	−1.66682			−0.0654790
$649$	27.9065	+	1.73151i	1.09543	+	0.0679679i
$650$	−1.46580			−0.0574934
$651$	2.47812	+	7.62686i	0.0971251	+	0.298920i
$652$	−28.6714	−	20.8310i	−1.12286	−	0.815804i
$653$	−30.6000	+	22.2322i	−1.19747	+	0.870012i	−0.994033	−	0.109076i	$-0.965211\pi$
$653$	−30.6000	+	22.2322i	−1.19747	+	0.870012i	−0.203436	+	0.979088i	$0.565211\pi$
$654$	0.955427	−	2.94050i	0.0373601	−	0.114983i
$655$	−2.98879	+	9.19855i	−0.116782	+	0.359417i
$656$	−1.52440	+	1.10754i	−0.0595179	+	0.0432423i
$657$	2.73435	+	1.98662i	0.106677	+	0.0775055i
$658$	1.37550	+	4.23336i	0.0536227	+	0.165034i
$659$	46.8094			1.82343			0.911717	−	0.410818i	$-0.134757\pi$
$659$	46.8094			1.82343			0.911717	+	0.410818i	$0.134757\pi$
$660$	6.50325	−	4.13497i	0.253138	−	0.160954i
$661$	−16.2592			−0.632408			−0.316204	−	0.948691i	$-0.602408\pi$
$661$	−16.2592			−0.632408			−0.316204	+	0.948691i	$0.602408\pi$
$662$	−2.40062	−	7.38836i	−0.0933028	−	0.287157i
$663$	−2.08612	−	1.51566i	−0.0810183	−	0.0588633i
$664$	−0.778724	+	0.565776i	−0.0302204	+	0.0219564i
$665$	0.556232	−	1.71191i	0.0215698	−	0.0663849i
$666$	−0.396069	+	1.21897i	−0.0153474	+	0.0472343i
$667$	−10.2828	+	7.47088i	−0.398151	+	0.289274i
$668$	−26.2527	−	19.0737i	−1.01575	−	0.737984i
$669$	4.01330	+	12.3517i	0.155163	+	0.477544i
$670$	−0.683759			−0.0264159
$671$	20.7750	−	13.2094i	0.802011	−	0.509945i
$672$	−6.60945			−0.254965
$673$	−8.47282	−	26.0767i	−0.326603	−	1.00518i	−0.970712	−	0.240247i	$-0.922771\pi$
$673$	−8.47282	−	26.0767i	−0.326603	−	1.00518i	0.644108	−	0.764934i	$-0.277229\pi$
$674$	−2.15513	−	1.56579i	−0.0830125	−	0.0603121i
$675$	2.70951	−	1.96858i	0.104289	−	0.0757706i
$676$	−0.558842	+	1.71994i	−0.0214939	+	0.0661515i
$677$	−4.84114	+	14.8995i	−0.186060	+	0.572634i	−0.999965	−	0.00836420i	$-0.997338\pi$
$677$	−4.84114	+	14.8995i	−0.186060	+	0.572634i	0.813905	+	0.580998i	$0.197338\pi$
$678$	5.87477	−	4.26827i	0.225619	−	0.163922i
$679$	2.38046	+	1.72951i	0.0913537	+	0.0663723i
$680$	−1.70651	−	5.25210i	−0.0654417	−	0.201409i
$681$	−15.0475			−0.576623
$682$	−8.08137	−	0.501424i	−0.309452	−	0.0192005i
$683$	5.17034			0.197837			0.0989187	−	0.995096i	$-0.468462\pi$
$683$	5.17034			0.197837			0.0989187	+	0.995096i	$0.468462\pi$
$684$	0.544566	+	1.67600i	0.0208220	+	0.0640835i
$685$	13.1638	+	9.56407i	0.502963	+	0.365424i
$686$	−6.07450	+	4.41338i	−0.231925	+	0.168504i
$687$	−8.53201	+	26.2588i	−0.325517	+	1.00184i
$688$	9.04408	−	27.8348i	0.344802	−	1.06119i
$689$	−2.14157	+	1.55594i	−0.0815875	+	0.0592768i
$690$	2.82562	+	2.05294i	0.107570	+	0.0781539i
$691$	−0.773358	−	2.38015i	−0.0294199	−	0.0905452i	0.935268	−	0.353939i	$-0.115158\pi$
$691$	−0.773358	−	2.38015i	−0.0294199	−	0.0905452i	−0.964688	+	0.263394i	$0.915158\pi$
$692$	31.8598			1.21113
$693$	−1.18979	−	4.61736i	−0.0451965	−	0.175399i
$694$	7.65589			0.290614
$695$	−7.03514	−	21.6519i	−0.266858	−	0.821304i
$696$	−2.75956	−	2.00493i	−0.104601	−	0.0759969i
$697$	−1.36137	+	0.989094i	−0.0515656	+	0.0374646i
$698$	4.98621	−	15.3460i	0.188731	−	0.580854i
$699$	−8.82517	+	27.1611i	−0.333799	+	1.02733i
$700$	7.04459	−	5.11819i	0.266260	−	0.193449i
$701$	19.1208	+	13.8920i	0.722181	+	0.524695i	0.887080	−	0.461615i	$-0.152730\pi$
$701$	19.1208	+	13.8920i	0.722181	+	0.524695i	−0.164899	+	0.986310i	$0.552730\pi$
$702$	0.135246	+	0.416243i	0.00510452	+	0.0157101i
$703$	2.85370			0.107629
$704$	−4.58395	+	11.6070i	−0.172764	+	0.437457i
$705$	−9.08940			−0.342327
$706$	4.03809	+	12.4280i	0.151976	+	0.467733i
$707$	7.68438	+	5.58303i	0.289001	+	0.209971i
$708$	12.3341	−	8.96126i	0.463544	−	0.336785i
$709$	15.0460	−	46.3069i	0.565065	−	1.73909i	−0.102694	−	0.994713i	$-0.532746\pi$
$709$	15.0460	−	46.3069i	0.565065	−	1.73909i	0.667759	−	0.744377i	$-0.267254\pi$
$710$	−1.06198	+	3.26844i	−0.0398554	+	0.122662i
$711$	−0.927338	+	0.673751i	−0.0347779	+	0.0252676i
$712$	−13.7703	−	10.0047i	−0.516065	−	0.374943i
$713$	10.7060	+	32.9495i	0.400941	+	1.23397i
$714$	−1.62249			−0.0607200
$715$	−3.28580	−	2.71347i	−0.122882	−	0.101478i
$716$	17.9812			0.671989
$717$	4.92347	+	15.1529i	0.183870	+	0.565894i
$718$	−7.76128	−	5.63890i	−0.289648	−	0.210442i
$719$	−27.8639	+	20.2443i	−1.03915	+	0.754984i	−0.970119	−	0.242630i	$-0.921990\pi$
$719$	−27.8639	+	20.2443i	−1.03915	+	0.754984i	−0.0690279	+	0.997615i	$0.521990\pi$
$720$	1.14642	−	3.52831i	0.0427244	−	0.131492i
$721$	−7.69403	+	23.6798i	−0.286541	+	0.881882i
$722$	6.39126	−	4.64352i	0.237858	−	0.172814i
$723$	22.7435	+	16.5242i	0.845841	+	0.614540i
$724$	7.49917	+	23.0801i	0.278705	+	0.857764i
$725$	6.85372			0.254541
$726$	4.77738	+	0.595135i	0.177305	+	0.0220875i
$727$	4.46246			0.165504			0.0827518	−	0.996570i	$-0.473629\pi$
$727$	4.46246			0.165504			0.0827518	+	0.996570i	$0.473629\pi$
$728$	0.740507	+	2.27905i	0.0274450	+	0.0844671i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	1.53762	−	1.11715i	0.0569100	−	0.0413475i
$731$	8.07683	−	24.8579i	0.298732	−	0.919404i
$732$	4.14822	−	12.7669i	0.153323	−	0.471878i
$733$	−18.5222	+	13.4572i	−0.684133	+	0.497052i	−0.874726	−	0.484618i	$-0.838959\pi$
$733$	−18.5222	+	13.4572i	−0.684133	+	0.497052i	0.190593	+	0.981669i	$0.438959\pi$
$734$	−4.67269	−	3.39491i	−0.172472	−	0.125308i
$735$	−1.95866	−	6.02813i	−0.0722462	−	0.222351i
$736$	−28.5541			−1.05252
$737$	3.10953	+	2.56790i	0.114541	+	0.0945898i
$738$	0.285613			0.0105135
$739$	7.04672	+	21.6876i	0.259218	+	0.797790i	0.992969	+	0.118372i	$0.0377676\pi$
$739$	7.04672	+	21.6876i	0.259218	+	0.797790i	−0.733752	+	0.679418i	$0.762232\pi$
$740$	−5.50511	−	3.99970i	−0.202372	−	0.147032i
$741$	0.788350	−	0.572770i	0.0289608	−	0.0210412i
$742$	−0.514703	+	1.58409i	−0.0188953	+	0.0581538i
$743$	0.297646	−	0.916061i	0.0109196	−	0.0336070i	−0.945448	−	0.325772i	$-0.894376\pi$
$743$	0.297646	−	0.916061i	0.0109196	−	0.0336070i	0.956368	+	0.292165i	$0.0943757\pi$
$744$	−7.52193	+	5.46500i	−0.275767	+	0.200357i
$745$	−1.29462	−	0.940597i	−0.0474312	−	0.0344608i
$746$	2.57512	+	7.92539i	0.0942817	+	0.290169i
$747$	−0.577480			−0.0211289
$748$	−5.68108	+	14.3851i	−0.207721	+	0.525971i
$749$	5.29917			0.193627
$750$	−1.45084	−	4.46523i	−0.0529772	−	0.163047i
$751$	−34.2882	−	24.9118i	−1.25119	−	0.909046i	−0.252904	−	0.967491i	$-0.581386\pi$
$751$	−34.2882	−	24.9118i	−1.25119	−	0.909046i	−0.998291	+	0.0584456i	$0.981386\pi$
$752$	16.5251	−	12.0062i	0.602608	−	0.437821i
$753$	−3.97355	+	12.2293i	−0.144804	+	0.445661i
$754$	−0.276768	+	0.851804i	−0.0100793	+	0.0310209i
$755$	−5.44748	+	3.95782i	−0.198254	+	0.144040i
$756$	−2.10340	−	1.52821i	−0.0764999	−	0.0555804i
$757$	−15.0853	−	46.4279i	−0.548286	−	1.68745i	−0.713046	−	0.701117i	$-0.752685\pi$
$757$	−15.0853	−	46.4279i	−0.548286	−	1.68745i	0.164760	−	0.986334i	$-0.447315\pi$
$758$	−4.31933			−0.156885
$759$	−5.14014	−	19.9479i	−0.186575	−	0.724063i
$760$	2.08692			0.0757005
$761$	−10.7180	−	32.9865i	−0.388526	−	1.19576i	−0.933890	−	0.357561i	$-0.883608\pi$
$761$	−10.7180	−	32.9865i	−0.388526	−	1.19576i	0.545364	−	0.838199i	$-0.316392\pi$
$762$	1.40515	+	1.02090i	0.0509032	+	0.0369834i
$763$	8.21654	−	5.96967i	0.297459	−	0.216116i
$764$	−0.623928	+	1.92025i	−0.0225729	+	0.0694723i
$765$	1.02381	−	3.15096i	0.0370159	−	0.113923i
$766$	−3.60685	+	2.62053i	−0.130321	+	0.0946836i
$767$	−6.82027	−	4.95521i	−0.246266	−	0.178922i
$768$	0.859202	+	2.64435i	0.0310038	+	0.0954198i
$769$	25.9765			0.936735			0.468368	−	0.883534i	$-0.344842\pi$
$769$	25.9765			0.936735			0.468368	+	0.883534i	$0.344842\pi$
$770$	−2.67618	−	0.166049i	−0.0964428	−	0.00598398i
$771$	−0.940165			−0.0338592
$772$	6.86006	+	21.1131i	0.246899	+	0.759877i
$773$	−7.34166	−	5.33403i	−0.264061	−	0.191852i	0.447874	−	0.894097i	$-0.352181\pi$
$773$	−7.34166	−	5.33403i	−0.264061	−	0.191852i	−0.711936	+	0.702245i	$0.752181\pi$
$774$	−3.58901	+	2.60757i	−0.129004	+	0.0937272i
$775$	5.77296	−	17.7673i	0.207371	−	0.638221i
$776$	−1.05419	+	3.24445i	−0.0378431	+	0.116469i
$777$	−3.40614	+	2.47471i	−0.122195	+	0.0887795i
$778$	−7.22143	−	5.24667i	−0.258901	−	0.188102i
$779$	−0.196508	−	0.604790i	−0.00704063	−	0.0216688i
$780$	−2.32360			−0.0831982
$781$	17.1044	−	10.8755i	0.612043	−	0.389157i
$782$	−7.00946			−0.250658
$783$	−0.632375	−	1.94625i	−0.0225992	−	0.0695533i
$784$	11.5235	+	8.37233i	0.411554	+	0.299012i
$785$	12.5772	−	9.13784i	0.448898	−	0.326143i
$786$	−1.01808	+	3.13333i	−0.0363137	+	0.111762i
$787$	−10.0226	+	30.8463i	−0.357266	+	1.09955i	0.597418	+	0.801930i	$0.296193\pi$
$787$	−10.0226	+	30.8463i	−0.357266	+	1.09955i	−0.954684	+	0.297621i	$0.903807\pi$
$788$	25.0044	−	18.1668i	0.890745	−	0.647164i
$789$	−21.2493	−	15.4385i	−0.756494	−	0.549625i
$790$	0.199186	+	0.613031i	0.00708672	+	0.0218107i
$791$	23.8534			0.848128
$792$	4.66507	−	2.96620i	0.165766	−	0.105399i
$793$	−7.42289			−0.263594
$794$	−3.79716	−	11.6865i	−0.134756	−	0.414737i
$795$	−2.75162	−	1.99917i	−0.0975897	−	0.0709031i
$796$	9.86321	−	7.16604i	0.349592	−	0.253994i
$797$	−5.24722	+	16.1493i	−0.185866	+	0.572037i	−0.999962	−	0.00869316i	$-0.997233\pi$
$797$	−5.24722	+	16.1493i	−0.185866	+	0.572037i	0.814096	+	0.580730i	$0.197233\pi$
$798$	0.189471	−	0.583132i	0.00670720	−	0.0206426i
$799$	14.7578	−	10.7222i	0.522093	−	0.379322i
$800$	12.4566	+	9.05025i	0.440407	+	0.319974i
$801$	−3.15559	−	9.71190i	−0.111497	−	0.343153i
$802$	0.582845			0.0205810
$803$	−11.1882	−	0.694191i	−0.394821	−	0.0244975i
$804$	2.19894			0.0775508
$805$	3.54532	+	10.9114i	0.124956	+	0.384575i
$806$	1.97506	+	1.43497i	0.0695686	+	0.0505445i
$807$	−6.26459	+	4.55149i	−0.220524	+	0.160220i
$808$	−3.40303	+	10.4734i	−0.119718	+	0.368454i
$809$	−8.58634	+	26.4260i	−0.301880	+	0.929090i	0.678943	+	0.734191i	$0.262438\pi$
$809$	−8.58634	+	26.4260i	−0.301880	+	0.929090i	−0.980823	+	0.194900i	$0.937562\pi$
$810$	−0.454939	+	0.330533i	−0.0159849	+	0.0116137i
$811$	37.2217	+	27.0431i	1.30703	+	0.949612i	0.999998	−	0.00208689i	$-0.000664277\pi$
$811$	37.2217	+	27.0431i	1.30703	+	0.949612i	0.307032	+	0.951699i	$0.400664\pi$
$812$	−1.64414	−	5.06014i	−0.0576980	−	0.177576i
$813$	30.5917			1.07290
$814$	−1.06072	−	4.11647i	−0.0371783	−	0.144282i
$815$	−25.1790			−0.881983
$816$	2.30076	+	7.08100i	0.0805426	+	0.247884i
$817$	7.99090	+	5.80573i	0.279566	+	0.203117i
$818$	−2.24981	+	1.63459i	−0.0786629	+	0.0571520i
$819$	−0.444263	+	1.36730i	−0.0155238	+	0.0477773i
$820$	−0.468576	+	1.44213i	−0.0163634	+	0.0503613i
$821$	−41.3085	+	30.0124i	−1.44168	+	1.04744i	−0.453987	+	0.891008i	$0.649999\pi$
$821$	−41.3085	+	30.0124i	−1.44168	+	1.04744i	−0.987689	+	0.156431i	$0.950001\pi$
$822$	4.48402	+	3.25783i	0.156398	+	0.113630i
$823$	−9.16576	−	28.2093i	−0.319498	−	0.983314i	−0.973863	−	0.227136i	$-0.927064\pi$
$823$	−9.16576	−	28.2093i	−0.319498	−	0.983314i	0.654365	−	0.756179i	$-0.272936\pi$
$824$	−28.8671			−1.00563
$825$	−4.08015	+	10.3314i	−0.142052	+	0.359692i
$826$	−5.30447			−0.184566
$827$	12.2761	+	37.7819i	0.426882	+	1.31381i	0.901181	+	0.433443i	$0.142701\pi$
$827$	12.2761	+	37.7819i	0.426882	+	1.31381i	−0.474299	+	0.880364i	$0.657299\pi$
$828$	−9.08709	−	6.60216i	−0.315798	−	0.229441i
$829$	18.2620	−	13.2682i	0.634267	−	0.460822i	−0.223609	−	0.974679i	$-0.571784\pi$
$829$	18.2620	−	13.2682i	0.634267	−	0.460822i	0.857876	+	0.513857i	$0.171784\pi$
$830$	−0.100349	+	0.308844i	−0.00348318	+	0.0107201i
$831$	0.213020	−	0.655608i	0.00738958	−	0.0227428i
$832$	3.04408	−	2.21165i	0.105534	−	0.0766752i
$833$	10.2911	+	7.47692i	0.356566	+	0.259060i
$834$	−2.39640	−	7.37536i	−0.0829805	−	0.255388i
$835$	−23.0550			−0.797850
$836$	−4.50666	−	3.72168i	−0.155866	−	0.128717i
$837$	−5.57805			−0.192805
$838$	−2.12816	−	6.54981i	−0.0735161	−	0.226259i
$839$	39.5734	+	28.7517i	1.36622	+	0.992620i	0.998021	+	0.0628751i	$0.0200270\pi$
$839$	39.5734	+	28.7517i	1.36622	+	0.992620i	0.368203	+	0.929745i	$0.379973\pi$
$840$	−2.49092	+	1.80976i	−0.0859448	+	0.0624425i
$841$	−7.66740	+	23.5978i	−0.264393	+	0.813718i
$842$	−2.04197	+	6.28453i	−0.0703709	+	0.216579i
$843$	2.23193	−	1.62159i	0.0768716	−	0.0558505i
$844$	32.2664	+	23.4429i	1.11065	+	0.806938i
$845$	0.397042	+	1.22197i	0.0136587	+	0.0420371i
$846$	−3.09615			−0.106448
$847$	11.5468	+	10.8057i	0.396754	+	0.371288i
$848$	7.64330			0.262472
$849$	9.18229	+	28.2602i	0.315135	+	0.969887i
$850$	3.05784	+	2.22165i	0.104883	+	0.0762020i
$851$	−14.7152	+	10.6912i	−0.504430	+	0.366490i
$852$	3.41529	−	10.5112i	0.117006	−	0.360107i
$853$	−1.89998	+	5.84755i	−0.0650542	+	0.200216i	−0.978300	−	0.207192i	$-0.933567\pi$
$853$	−1.89998	+	5.84755i	−0.0650542	+	0.200216i	0.913246	+	0.407408i	$0.133567\pi$
$854$	−3.77858	+	2.74530i	−0.129300	+	0.0939423i
$855$	1.01292	+	0.735927i	0.0346410	+	0.0251682i
$856$	1.89855	+	5.84314i	0.0648911	+	0.199714i
$857$	8.33916			0.284860			0.142430	−	0.989805i	$-0.454508\pi$
$857$	8.33916			0.284860			0.142430	+	0.989805i	$0.454508\pi$
$858$	−1.11925	−	0.924297i	−0.0382106	−	0.0315550i
$859$	−0.638215			−0.0217756			−0.0108878	−	0.999941i	$-0.503466\pi$
$859$	−0.638215			−0.0217756			−0.0108878	+	0.999941i	$0.503466\pi$
$860$	−7.27813	−	22.3998i	−0.248182	−	0.763826i
$861$	0.759017	+	0.551458i	0.0258672	+	0.0187936i
$862$	2.55233	−	1.85438i	0.0869327	−	0.0631603i
$863$	15.6684	−	48.2224i	0.533359	−	1.64151i	−0.213809	−	0.976875i	$-0.568587\pi$
$863$	15.6684	−	48.2224i	0.533359	−	1.64151i	0.747168	−	0.664635i	$-0.231413\pi$
$864$	1.42066	−	4.37234i	0.0483318	−	0.148750i
$865$	18.3126	−	13.3049i	0.622646	−	0.452379i
$866$	−2.17619	−	1.58109i	−0.0739499	−	0.0537277i
$867$	−3.19859	−	9.84426i	−0.108630	−	0.334329i
$868$	−14.5026			−0.492251
$869$	1.39644	−	3.53593i	0.0473710	−	0.119948i
$870$	−1.15077			−0.0390147
$871$	−0.375742	−	1.15642i	−0.0127315	−	0.0391836i
$872$	9.52623	+	6.92121i	0.322599	+	0.234382i
$873$	−1.65578	+	1.20300i	−0.0560398	+	0.0407153i
$874$	0.818551	−	2.51924i	0.0276879	−	0.0852146i
$875$	4.76581	−	14.6676i	0.161114	−	0.495857i
$876$	−4.94494	+	3.59271i	−0.167074	+	0.121386i
$877$	−12.4377	−	9.03649i	−0.419990	−	0.305140i	0.357644	−	0.933858i	$-0.383580\pi$
$877$	−12.4377	−	9.03649i	−0.419990	−	0.305140i	−0.777634	+	0.628718i	$0.783580\pi$
$878$	−0.0594419	−	0.182943i	−0.00200607	−	0.00617404i
$879$	−20.9885			−0.707925
$880$	3.07025	+	11.9151i	0.103498	+	0.401657i
$881$	0.348166			0.0117300			0.00586500	−	0.999983i	$-0.498133\pi$
$881$	0.348166			0.0117300			0.00586500	+	0.999983i	$0.498133\pi$
$882$	−0.667183	−	2.05338i	−0.0224652	−	0.0691409i
$883$	14.7451	+	10.7129i	0.496212	+	0.360519i	0.807568	−	0.589774i	$-0.200783\pi$
$883$	14.7451	+	10.7129i	0.496212	+	0.360519i	−0.311356	+	0.950293i	$0.600783\pi$
$884$	3.77265	−	2.74099i	0.126888	−	0.0921895i
$885$	3.34719	−	10.3016i	0.112515	−	0.346284i
$886$	−0.547243	+	1.68424i	−0.0183850	+	0.0565832i
$887$	−38.6066	+	28.0493i	−1.29628	+	0.941803i	−0.999912	−	0.0132700i	$-0.995776\pi$
$887$	−38.6066	+	28.0493i	−1.29628	+	0.941803i	−0.296369	+	0.955073i	$0.595776\pi$
$888$	−3.94906	−	2.86916i	−0.132522	−	0.0962828i
$889$	1.76305	+	5.42610i	0.0591307	+	0.181986i
$890$	−5.74240			−0.192486
$891$	3.31026	+	0.205391i	0.110898	+	0.00688087i
$892$	−23.4869			−0.786401
$893$	2.13022	+	6.55615i	0.0712851	+	0.219393i
$894$	−0.440990	−	0.320398i	−0.0147489	−	0.0107157i
$895$	10.3353	−	7.50906i	0.345472	−	0.251000i
$896$	4.81647	−	14.8236i	0.160907	−	0.495221i
$897$	−1.91930	+	5.90700i	−0.0640836	+	0.197229i
$898$	−4.17745	+	3.03510i	−0.139403	+	0.101283i
$899$	−9.23489	−	6.70954i	−0.308001	−	0.223776i
$900$	1.87164	+	5.76032i	0.0623881	+	0.192011i
$901$	6.82587			0.227403
$902$	−0.799367	+	0.508264i	−0.0266160	+	0.0169233i
$903$	−14.5725			−0.484942
$904$	8.54601	+	26.3019i	0.284236	+	0.874789i
$905$	13.9488	+	10.1344i	0.463674	+	0.336879i
$906$	−1.85559	+	1.34816i	−0.0616478	+	0.0447898i
$907$	−14.6693	+	45.1475i	−0.487087	+	1.49910i	0.341850	+	0.939755i	$0.388947\pi$
$907$	−14.6693	+	45.1475i	−0.487087	+	1.49910i	−0.828936	+	0.559343i	$0.811053\pi$
$908$	8.40920	−	25.8808i	0.279069	−	0.858886i
$909$	−5.34504	+	3.88340i	−0.177284	+	0.128804i
$910$	0.654050	+	0.475195i	0.0216815	+	0.0157526i
$911$	1.45186	+	4.46838i	0.0481024	+	0.148044i	0.972223	−	0.234058i	$-0.0752004\pi$
$911$	1.45186	+	4.46838i	0.0481024	+	0.148044i	−0.924120	+	0.382102i	$0.875200\pi$
$912$	−2.81363			−0.0931687
$913$	1.61624	−	1.02766i	0.0534897	−	0.0340105i
$914$	5.80571			0.192036
$915$	−2.94720	−	9.07055i	−0.0974315	−	0.299863i
$916$	−40.3955	−	29.3491i	−1.33471	−	0.969721i
$917$	−8.75535	+	6.36114i	−0.289127	+	0.210063i
$918$	0.348743	−	1.07332i	0.0115102	−	0.0354249i
$919$	−7.15635	+	22.0250i	−0.236066	+	0.726537i	0.760912	+	0.648855i	$0.224752\pi$
$919$	−7.15635	+	22.0250i	−0.236066	+	0.726537i	−0.996978	+	0.0776820i	$0.975248\pi$
$920$	−10.7612	+	7.81850i	−0.354788	+	0.257768i
$921$	15.2600	+	11.0871i	0.502836	+	0.365332i
$922$	1.64422	+	5.06039i	0.0541495	+	0.166655i
$923$	−6.11137			−0.201158
$924$	8.60649	+	0.534006i	0.283133	+	0.0175675i
$925$	9.80801			0.322486
$926$	0.894639	+	2.75341i	0.0293996	+	0.0904828i
$927$	−14.0111	−	10.1796i	−0.460184	−	0.334344i
$928$	7.61128	−	5.52992i	0.249853	−	0.181528i
$929$	9.84210	−	30.2909i	0.322909	−	0.993811i	−0.649467	−	0.760390i	$-0.725008\pi$
$929$	9.84210	−	30.2909i	0.322909	−	0.993811i	0.972376	−	0.233421i	$-0.0749922\pi$
$930$	−0.969304	+	2.98321i	−0.0317847	+	0.0978234i
$931$	−3.88903	+	2.82554i	−0.127458	+	0.0926035i
$932$	−41.7835	−	30.3575i	−1.36866	−	0.994393i
$933$	10.1633	+	31.2794i	0.332732	+	1.02404i
$934$	−3.27295			−0.107094
$935$	2.74190	+	10.6408i	0.0896696	+	0.347991i
$936$	−1.66682			−0.0544818
$937$	8.24787	+	25.3843i	0.269446	+	0.829270i	0.990636	+	0.136532i	$0.0435957\pi$
$937$	8.24787	+	25.3843i	0.269446	+	0.829270i	−0.721189	+	0.692738i	$0.756404\pi$
$938$	−0.618962	−	0.449702i	−0.0202098	−	0.0146833i
$939$	−2.51875	+	1.82998i	−0.0821964	+	0.0597192i
$940$	5.07954	−	15.6332i	0.165676	−	0.509899i
$941$	−3.61159	+	11.1153i	−0.117734	+	0.362349i	−0.992508	−	0.122183i	$-0.961010\pi$
$941$	−3.61159	+	11.1153i	−0.117734	+	0.362349i	0.874773	+	0.484533i	$0.161010\pi$
$942$	4.28419	−	3.11265i	0.139586	−	0.101416i
$943$	3.27910	+	2.38241i	0.106782	+	0.0775818i
$944$	7.52197	+	23.1502i	0.244819	+	0.753476i
$945$	−1.84719			−0.0600892
$946$	5.40454	−	13.6849i	0.175717	−	0.444933i
$947$	5.31813			0.172816			0.0864080	−	0.996260i	$-0.472461\pi$
$947$	5.31813			0.172816			0.0864080	+	0.996260i	$0.472461\pi$
$948$	−0.640574	−	1.97148i	−0.0208049	−	0.0640308i
$949$	2.73435	+	1.98662i	0.0887608	+	0.0644885i
$950$	−1.15556	+	0.839567i	−0.0374915	+	0.0272391i
$951$	3.38822	−	10.4279i	0.109871	−	0.338147i
$952$	1.90946	−	5.87673i	0.0618861	−	0.190466i
$953$	−44.4116	+	32.2669i	−1.43863	+	1.04523i	−0.450307	+	0.892874i	$0.648685\pi$
$953$	−44.4116	+	32.2669i	−1.43863	+	1.04523i	−0.988326	+	0.152354i	$0.951315\pi$
$954$	−0.937290	−	0.680981i	−0.0303459	−	0.0220476i
$955$	0.443285	+	1.36429i	0.0143443	+	0.0441474i
$956$	−28.8134			−0.931893
$957$	5.23334	+	4.32178i	0.169170	+	0.139703i
$958$	−3.65166			−0.117980
$959$	5.62612	+	17.3154i	0.181677	+	0.559144i
$960$	3.91120	+	2.84165i	0.126233	+	0.0917140i
$961$	−0.0927065	+	0.0673552i	−0.00299053	+	0.00217275i
$962$	−0.396069	+	1.21897i	−0.0127698	+	0.0393013i
$963$	−1.13902	+	3.50555i	−0.0367045	+	0.112965i
$964$	−41.1306	+	29.8831i	−1.32473	+	0.962470i
$965$	12.7600	+	9.27069i	0.410759	+	0.298434i
$966$	1.20765	+	3.71677i	0.0388556	+	0.119585i
$967$	−15.3722			−0.494337			−0.247168	−	0.968973i	$-0.579500\pi$
$967$	−15.3722			−0.494337			−0.247168	+	0.968973i	$0.579500\pi$
$968$	−7.77799	+	16.6035i	−0.249994	+	0.533657i
$969$	−2.51272			−0.0807202
$970$	0.355651	+	1.09458i	0.0114193	+	0.0351449i
$971$	−39.3810	−	28.6120i	−1.26380	−	0.918201i	−0.264858	−	0.964287i	$-0.585325\pi$
$971$	−39.3810	−	28.6120i	−1.26380	−	0.918201i	−0.998937	+	0.0460860i	$0.985325\pi$
$972$	1.46307	−	1.06298i	0.0469279	−	0.0340951i
$973$	7.87182	−	24.2270i	0.252359	−	0.776681i
$974$	−0.284242	+	0.874806i	−0.00910770	+	0.0280306i
$975$	2.70951	−	1.96858i	0.0867739	−	0.0630449i
$976$	17.3395	+	12.5979i	0.555023	+	0.403248i
$977$	5.33430	+	16.4173i	0.170659	+	0.525235i	0.999409	−	0.0343846i	$-0.0109471\pi$
$977$	5.33430	+	16.4173i	0.170659	+	0.525235i	−0.828749	+	0.559620i	$0.810947\pi$
$978$	−8.57680			−0.274256
$979$	26.1147	+	21.5659i	0.834628	+	0.689250i
$980$	11.4626			0.366159
$981$	2.18301	+	6.71862i	0.0696982	+	0.214509i
$982$	−0.354239	−	0.257369i	−0.0113042	−	0.00821299i
$983$	−21.1405	+	15.3594i	−0.674276	+	0.489890i	−0.871454	−	0.490478i	$-0.836822\pi$
$983$	−21.1405	+	15.3594i	−0.674276	+	0.489890i	0.197178	+	0.980368i	$0.436822\pi$
$984$	−0.336131	+	1.03450i	−0.0107155	+	0.0329788i
$985$	6.78561	−	20.8840i	0.216208	−	0.665419i
$986$	1.86842	−	1.35748i	0.0595025	−	0.0432311i
$987$	−8.22803	−	5.97801i	−0.261901	−	0.190282i
$988$	0.544566	+	1.67600i	0.0173250	+	0.0533207i
$989$	−62.9560			−2.00188
$990$	0.685074	−	1.73468i	0.0217731	−	0.0551317i
$991$	−54.8996			−1.74394			−0.871971	−	0.489557i	$-0.837158\pi$
$991$	−54.8996			−1.74394			−0.871971	+	0.489557i	$0.837158\pi$
$992$	−7.92451	−	24.3891i	−0.251603	−	0.774355i
$993$	14.3601	+	10.4332i	0.455705	+	0.331089i
$994$	−3.11096	+	2.26025i	−0.0986737	+	0.0716906i
$995$	2.67665	−	8.23787i	0.0848554	−	0.261158i
$996$	0.322720	−	0.993229i	0.0102258	−	0.0314717i
$997$	−0.546763	+	0.397246i	−0.0173162	+	0.0125809i	−0.596410	−	0.802680i	$-0.703407\pi$
$997$	−0.546763	+	0.397246i	−0.0173162	+	0.0125809i	0.579094	+	0.815261i	$0.303407\pi$
$998$	8.36209	+	6.07542i	0.264697	+	0.192314i
$999$	−0.904961	−	2.78518i	−0.0286317	−	0.0881193i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.n.a.313.2	yes	12
11.3	even	5		4719.2.a.bg.1.4		6
11.8	odd	10		4719.2.a.bh.1.3		6
11.9	even	5	inner	429.2.n.a.196.2	✓	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.n.a.196.2	✓	12	11.9	even	5	inner
429.2.n.a.313.2	yes	12	1.1	even	1	trivial
4719.2.a.bg.1.4		6	11.3	even	5
4719.2.a.bh.1.3		6	11.8	odd	10

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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.135246 + 0.416243i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.46307 - 1.06298i) q^{4} +(0.397042 - 1.22197i) q^{5} +(0.135246 - 0.416243i) q^{6} +(1.16309 - 0.845038i) q^{7} +(1.34849 + 0.979734i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.135246 + 0.416243i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.46307 - 1.06298i) q^{4} +(0.397042 - 1.22197i) q^{5} +(0.135246 - 0.416243i) q^{6} +(1.16309 - 0.845038i) q^{7} +(1.34849 + 0.979734i) q^{8} +(0.309017 + 0.951057i) q^{9} +0.562336 q^{10} +(-2.55733 - 2.11189i) q^{11} -1.80845 q^{12} +(0.309017 + 0.951057i) q^{13} +(0.509045 + 0.369843i) q^{14} +(-1.03947 + 0.755220i) q^{15} +(0.892253 - 2.74607i) q^{16} +(0.796828 - 2.45239i) q^{17} +(-0.354078 + 0.257253i) q^{18} +(0.788350 + 0.572770i) q^{19} +(-0.718031 - 2.20987i) q^{20} -1.43766 q^{21} +(0.533191 - 1.35010i) q^{22} -6.21099 q^{23} +(-0.515076 - 1.58524i) q^{24} +(2.70951 + 1.96858i) q^{25} +(-0.354078 + 0.257253i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.803427 - 2.47269i) q^{28} +(1.65558 - 1.20285i) q^{29} +(-0.454939 - 0.330533i) q^{30} +(-1.72371 - 5.30504i) q^{31} +4.59735 q^{32} +(0.827587 + 3.21171i) q^{33} +1.12856 q^{34} +(-0.570814 - 1.75678i) q^{35} +(1.46307 + 1.06298i) q^{36} +(2.36922 - 1.72134i) q^{37} +(-0.131791 + 0.405610i) q^{38} +(0.309017 - 0.951057i) q^{39} +(1.73261 - 1.25882i) q^{40} +(-0.527951 - 0.383579i) q^{41} +(-0.194438 - 0.598418i) q^{42} +10.1362 q^{43} +(-5.98644 - 0.371440i) q^{44} +1.28486 q^{45} +(-0.840010 - 2.58528i) q^{46} +(5.72319 + 4.15814i) q^{47} +(-2.33595 + 1.69717i) q^{48} +(-1.52442 + 4.69168i) q^{49} +(-0.452957 + 1.39406i) q^{50} +(-2.08612 + 1.51566i) q^{51} +(1.46307 + 1.06298i) q^{52} +(0.818008 + 2.51757i) q^{53} +0.437664 q^{54} +(-3.59603 + 2.28647i) q^{55} +2.39633 q^{56} +(-0.301123 - 0.926761i) q^{57} +(0.724588 + 0.526444i) q^{58} +(-6.82027 + 4.95521i) q^{59} +(-0.718031 + 2.20987i) q^{60} +(-2.29380 + 7.05958i) q^{61} +(1.97506 - 1.43497i) q^{62} +(1.16309 + 0.845038i) q^{63} +(-1.16273 - 3.57853i) q^{64} +1.28486 q^{65} +(-1.22493 + 0.778848i) q^{66} -1.21593 q^{67} +(-1.44102 - 4.43502i) q^{68} +(5.02480 + 3.65073i) q^{69} +(0.654050 - 0.475195i) q^{70} +(-1.88852 + 5.81226i) q^{71} +(-0.515076 + 1.58524i) q^{72} +(2.73435 - 1.98662i) q^{73} +(1.03692 + 0.753368i) q^{74} +(-1.03494 - 3.18523i) q^{75} +1.76225 q^{76} +(-4.75904 - 0.295284i) q^{77} +0.437664 q^{78} +(0.354212 + 1.09015i) q^{79} +(-3.00136 - 2.18061i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(0.0882592 - 0.271634i) q^{82} +(-0.178451 + 0.549216i) q^{83} +(-2.10340 + 1.52821i) q^{84} +(-2.68037 - 1.94740i) q^{85} +(1.37088 + 4.21914i) q^{86} -2.04641 q^{87} +(-1.37944 - 5.35335i) q^{88} -10.2117 q^{89} +(0.173771 + 0.534813i) q^{90} +(1.16309 + 0.845038i) q^{91} +(-9.08709 + 6.60216i) q^{92} +(-1.72371 + 5.30504i) q^{93} +(-0.956763 + 2.94461i) q^{94} +(1.01292 - 0.735927i) q^{95} +(-3.71934 - 2.70226i) q^{96} +(0.632453 + 1.94649i) q^{97} -2.15905 q^{98} +(1.21827 - 3.08477i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 8 q^{5} + 3 q^{6} + 5 q^{7} - q^{8} - 3 q^{9}+O(q^{10}) \) 12 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 + 8 * q^5 + 3 * q^6 + 5 * q^7 - q^8 - 3 * q^9	\( 12 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 8 q^{5} + 3 q^{6} + 5 q^{7} - q^{8} - 3 q^{9} + 14 q^{10} - 6 q^{11} + 2 q^{12} - 3 q^{13} + 11 q^{14} - 2 q^{15} - 5 q^{16} - 14 q^{17} - 2 q^{18} - 2 q^{19} - 9 q^{20} - 10 q^{21} + 21 q^{22} - 6 q^{23} + 4 q^{24} + 19 q^{25} - 2 q^{26} - 3 q^{27} - 12 q^{28} - 12 q^{29} - q^{30} - 12 q^{31} + 26 q^{32} + 9 q^{33} - 24 q^{34} - 2 q^{35} - 3 q^{36} + 4 q^{37} - 13 q^{38} - 3 q^{39} + 4 q^{40} - 10 q^{41} + q^{42} + 28 q^{43} - 12 q^{45} - 5 q^{46} + 28 q^{47} + 10 q^{48} + 20 q^{49} - q^{50} + 11 q^{51} - 3 q^{52} - 29 q^{53} - 2 q^{54} + 4 q^{55} + 12 q^{56} + 8 q^{57} + 22 q^{58} - 11 q^{59} - 9 q^{60} - 18 q^{61} + 40 q^{62} + 5 q^{63} + 11 q^{64} - 12 q^{65} + 16 q^{66} - 72 q^{67} - 35 q^{68} + 4 q^{69} - 6 q^{70} + 10 q^{71} + 4 q^{72} - 11 q^{73} - 15 q^{74} - 11 q^{75} + 4 q^{76} + 20 q^{77} - 2 q^{78} - 7 q^{79} - 27 q^{80} - 3 q^{81} - 10 q^{82} + 16 q^{83} + 8 q^{84} - 26 q^{85} - 35 q^{86} + 28 q^{87} + 25 q^{88} - 62 q^{89} - 6 q^{90} + 5 q^{91} - 34 q^{92} - 12 q^{93} - q^{94} + 15 q^{95} + q^{96} + 54 q^{97} + 50 q^{98} - 6 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 + 8 * q^5 + 3 * q^6 + 5 * q^7 - q^8 - 3 * q^9 + 14 * q^10 - 6 * q^11 + 2 * q^12 - 3 * q^13 + 11 * q^14 - 2 * q^15 - 5 * q^16 - 14 * q^17 - 2 * q^18 - 2 * q^19 - 9 * q^20 - 10 * q^21 + 21 * q^22 - 6 * q^23 + 4 * q^24 + 19 * q^25 - 2 * q^26 - 3 * q^27 - 12 * q^28 - 12 * q^29 - q^30 - 12 * q^31 + 26 * q^32 + 9 * q^33 - 24 * q^34 - 2 * q^35 - 3 * q^36 + 4 * q^37 - 13 * q^38 - 3 * q^39 + 4 * q^40 - 10 * q^41 + q^42 + 28 * q^43 - 12 * q^45 - 5 * q^46 + 28 * q^47 + 10 * q^48 + 20 * q^49 - q^50 + 11 * q^51 - 3 * q^52 - 29 * q^53 - 2 * q^54 + 4 * q^55 + 12 * q^56 + 8 * q^57 + 22 * q^58 - 11 * q^59 - 9 * q^60 - 18 * q^61 + 40 * q^62 + 5 * q^63 + 11 * q^64 - 12 * q^65 + 16 * q^66 - 72 * q^67 - 35 * q^68 + 4 * q^69 - 6 * q^70 + 10 * q^71 + 4 * q^72 - 11 * q^73 - 15 * q^74 - 11 * q^75 + 4 * q^76 + 20 * q^77 - 2 * q^78 - 7 * q^79 - 27 * q^80 - 3 * q^81 - 10 * q^82 + 16 * q^83 + 8 * q^84 - 26 * q^85 - 35 * q^86 + 28 * q^87 + 25 * q^88 - 62 * q^89 - 6 * q^90 + 5 * q^91 - 34 * q^92 - 12 * q^93 - q^94 + 15 * q^95 + q^96 + 54 * q^97 + 50 * q^98 - 6 * q^99

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