LMFDB - Embedded newform 429.2.bj.a.73.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.1
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.64667 + 0.419191i) q^{2} +(0.309017 - 0.951057i) q^{3} +(4.92702 - 1.60089i) q^{4} +(-2.31578 - 0.366783i) q^{5} +(-0.419191 + 2.64667i) q^{6} +(-2.21285 + 4.34297i) q^{7} +(-7.59393 + 3.86930i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-2.64667 + 0.419191i) q^{2} +(0.309017 - 0.951057i) q^{3} +(4.92702 - 1.60089i) q^{4} +(-2.31578 - 0.366783i) q^{5} +(-0.419191 + 2.64667i) q^{6} +(-2.21285 + 4.34297i) q^{7} +(-7.59393 + 3.86930i) q^{8} +(-0.809017 - 0.587785i) q^{9} +6.28285 q^{10} +(3.06817 - 1.25949i) q^{11} -5.18058i q^{12} +(3.43422 - 1.09825i) q^{13} +(4.03616 - 12.4220i) q^{14} +(-1.06445 + 2.08909i) q^{15} +(10.0943 - 7.33394i) q^{16} +(0.329689 - 0.239533i) q^{17} +(2.38759 + 1.21654i) q^{18} +(-2.00565 - 3.93631i) q^{19} +(-11.9971 + 1.90015i) q^{20} +(3.44660 + 3.44660i) q^{21} +(-7.59247 + 4.61961i) q^{22} -2.24559i q^{23} +(1.33327 + 8.41794i) q^{24} +(0.473020 + 0.153693i) q^{25} +(-8.62886 + 4.34629i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-3.95018 + 24.9405i) q^{28} +(-4.99502 + 1.62298i) q^{29} +(1.94151 - 5.97535i) q^{30} +(-1.34951 - 8.52046i) q^{31} +(-11.5888 + 11.5888i) q^{32} +(-0.249731 - 3.30721i) q^{33} +(-0.772168 + 0.772168i) q^{34} +(6.71741 - 9.24572i) q^{35} +(-4.92702 - 1.60089i) q^{36} +(-1.36089 - 0.693410i) q^{37} +(6.95835 + 9.57735i) q^{38} +(0.0167363 - 3.60551i) q^{39} +(19.0051 - 6.17512i) q^{40} +(-2.40760 - 4.72519i) q^{41} +(-10.5668 - 7.67723i) q^{42} -4.10550 q^{43} +(13.1007 - 11.1173i) q^{44} +(1.65791 + 1.65791i) q^{45} +(0.941331 + 5.94333i) q^{46} +(-0.365836 - 0.717993i) q^{47} +(-3.85568 - 11.8666i) q^{48} +(-9.85018 - 13.5576i) q^{49} +(-1.31635 - 0.208490i) q^{50} +(-0.125930 - 0.387573i) q^{51} +(15.1623 - 10.9089i) q^{52} +(0.960366 + 0.697746i) q^{53} +(1.89481 - 1.89481i) q^{54} +(-7.56717 + 1.79135i) q^{55} -41.5424i q^{56} +(-4.36343 + 0.691099i) q^{57} +(12.5398 - 6.38936i) q^{58} +(7.10235 + 3.61883i) q^{59} +(-1.90015 + 11.9971i) q^{60} +(1.85466 + 2.55272i) q^{61} +(7.14340 + 21.9851i) q^{62} +(4.34297 - 2.21285i) q^{63} +(11.1459 - 15.3410i) q^{64} +(-8.35571 + 1.28368i) q^{65} +(2.04731 + 8.64840i) q^{66} +(-10.3300 - 10.3300i) q^{67} +(1.24092 - 1.70798i) q^{68} +(-2.13568 - 0.693925i) q^{69} +(-13.9030 + 27.2863i) q^{70} +(-0.392723 - 0.0622012i) q^{71} +(8.41794 + 1.33327i) q^{72} +(3.20511 - 6.29038i) q^{73} +(3.89251 + 1.26475i) q^{74} +(0.292342 - 0.402375i) q^{75} +(-16.1835 - 16.1835i) q^{76} +(-1.31948 + 16.1121i) q^{77} +(1.46710 + 9.54961i) q^{78} +(6.67030 - 9.18087i) q^{79} +(-26.0661 + 13.2814i) q^{80} +(0.309017 + 0.951057i) q^{81} +(8.35289 + 11.4968i) q^{82} +(1.59697 - 10.0829i) q^{83} +(22.4991 + 11.4639i) q^{84} +(-0.851344 + 0.433781i) q^{85} +(10.8659 - 1.72099i) q^{86} +5.25207i q^{87} +(-18.4261 + 21.4362i) q^{88} +(1.08780 - 1.08780i) q^{89} +(-5.08294 - 3.69297i) q^{90} +(-2.82977 + 17.3450i) q^{91} +(-3.59493 - 11.0641i) q^{92} +(-8.52046 - 1.34951i) q^{93} +(1.26922 + 1.74694i) q^{94} +(3.20087 + 9.85125i) q^{95} +(7.44046 + 14.6027i) q^{96} +(2.40542 + 15.1872i) q^{97} +(31.7534 + 31.7534i) q^{98} +(-3.22251 - 0.784476i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−2.64667	+	0.419191i	−1.87148	+	0.296413i	−0.985805	−	0.167896i	$-0.946303\pi$
$2$	−2.64667	+	0.419191i	−1.87148	+	0.296413i	−0.885673	+	0.464309i	$0.846303\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	4.92702	−	1.60089i	2.46351	−	0.800444i
$5$	−2.31578	−	0.366783i	−1.03565	−	0.164031i	−0.384613	−	0.923078i	$-0.625665\pi$
$5$	−2.31578	−	0.366783i	−1.03565	−	0.164031i	−0.651035	+	0.759048i	$0.725665\pi$
$6$	−0.419191	+	2.64667i	−0.171134	+	1.08050i
$7$	−2.21285	+	4.34297i	−0.836380	+	1.64149i	−0.0713891	+	0.997449i	$0.522743\pi$
$7$	−2.21285	+	4.34297i	−0.836380	+	1.64149i	−0.764991	+	0.644041i	$0.777257\pi$
$8$	−7.59393	+	3.86930i	−2.68486	+	1.36801i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	6.28285			1.98681
$11$	3.06817	−	1.25949i	0.925089	−	0.379751i
$11$	3.06817	−	1.25949i	0.925089	−	0.379751i
$12$		−	5.18058i		−	1.49550i
$13$	3.43422	−	1.09825i	0.952481	−	0.304599i
$13$	3.43422	−	1.09825i	0.952481	−	0.304599i
$14$	4.03616	−	12.4220i	1.07871	−	3.31992i
$15$	−1.06445	+	2.08909i	−0.274839	+	0.539402i
$16$	10.0943	−	7.33394i	2.52358	−	1.83348i
$17$	0.329689	−	0.239533i	0.0799614	−	0.0580953i	−0.547086	−	0.837076i	$-0.684263\pi$
$17$	0.329689	−	0.239533i	0.0799614	−	0.0580953i	0.627048	+	0.778981i	$0.284263\pi$
$18$	2.38759	+	1.21654i	0.562761	+	0.286741i
$19$	−2.00565	−	3.93631i	−0.460127	−	0.903050i	−0.998190	−	0.0601454i	$-0.980844\pi$
$19$	−2.00565	−	3.93631i	−0.460127	−	0.903050i	0.538062	−	0.842905i	$-0.319156\pi$
$20$	−11.9971	+	1.90015i	−2.68263	+	0.424887i
$21$	3.44660	+	3.44660i	0.752110	+	0.752110i
$22$	−7.59247	+	4.61961i	−1.61872	+	0.984904i
$23$		−	2.24559i		−	0.468238i	−0.972208	−	0.234119i	$-0.924780\pi$
$23$		−	2.24559i		−	0.468238i	0.972208	−	0.234119i	$-0.0752205\pi$
$24$	1.33327	+	8.41794i	0.272153	+	1.71831i
$25$	0.473020	+	0.153693i	0.0946039	+	0.0307387i
$26$	−8.62886	+	4.34629i	−1.69226	+	0.852378i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	−3.95018	+	24.9405i	−0.746514	+	4.71330i
$29$	−4.99502	+	1.62298i	−0.927551	+	0.301380i	−0.733561	−	0.679624i	$-0.762143\pi$
$29$	−4.99502	+	1.62298i	−0.927551	+	0.301380i	−0.193990	+	0.981003i	$0.562143\pi$
$30$	1.94151	−	5.97535i	0.354469	−	1.09094i
$31$	−1.34951	−	8.52046i	−0.242379	−	1.53032i	−0.745736	−	0.666241i	$-0.767902\pi$
$31$	−1.34951	−	8.52046i	−0.242379	−	1.53032i	0.503357	−	0.864078i	$-0.332098\pi$
$32$	−11.5888	+	11.5888i	−2.04863	+	2.04863i
$33$	−0.249731	−	3.30721i	−0.0434726	−	0.575711i
$34$	−0.772168	+	0.772168i	−0.132426	+	0.132426i
$35$	6.71741	−	9.24572i	1.13545	−	1.56281i
$36$	−4.92702	−	1.60089i	−0.821171	−	0.266815i
$37$	−1.36089	−	0.693410i	−0.223729	−	0.113996i	0.338534	−	0.940954i	$-0.390069\pi$
$37$	−1.36089	−	0.693410i	−0.223729	−	0.113996i	−0.562263	+	0.826958i	$0.690069\pi$
$38$	6.95835	+	9.57735i	1.12879	+	1.55365i
$39$	0.0167363	−	3.60551i	0.00267995	−	0.577344i
$40$	19.0051	−	6.17512i	3.00497	−	0.976372i
$41$	−2.40760	−	4.72519i	−0.376004	−	0.737950i	0.623016	−	0.782209i	$-0.285907\pi$
$41$	−2.40760	−	4.72519i	−0.376004	−	0.737950i	−0.999020	+	0.0442591i	$0.985907\pi$
$42$	−10.5668	−	7.67723i	−1.63049	−	1.18462i
$43$	−4.10550			−0.626083			−0.313041	−	0.949739i	$-0.601348\pi$
$43$	−4.10550			−0.626083			−0.313041	+	0.949739i	$0.601348\pi$
$44$	13.1007	−	11.1173i	1.97500	−	1.67600i
$45$	1.65791	+	1.65791i	0.247147	+	0.247147i
$46$	0.941331	+	5.94333i	0.138792	+	0.876296i
$47$	−0.365836	−	0.717993i	−0.0533626	−	0.104730i	0.862785	−	0.505571i	$-0.168718\pi$
$47$	−0.365836	−	0.717993i	−0.0533626	−	0.104730i	−0.916148	+	0.400841i	$0.868718\pi$
$48$	−3.85568	−	11.8666i	−0.556520	−	1.71279i
$49$	−9.85018	−	13.5576i	−1.40717	−	1.93680i
$50$	−1.31635	−	0.208490i	−0.186161	−	0.0294849i
$51$	−0.125930	−	0.387573i	−0.0176337	−	0.0542711i
$52$	15.1623	−	10.9089i	2.10263	−	1.51279i
$53$	0.960366	+	0.697746i	0.131916	+	0.0958428i	0.651787	−	0.758402i	$-0.274020\pi$
$53$	0.960366	+	0.697746i	0.131916	+	0.0958428i	−0.519870	+	0.854245i	$0.674020\pi$
$54$	1.89481	−	1.89481i	0.257850	−	0.257850i
$55$	−7.56717	+	1.79135i	−1.02036	+	0.241546i
$56$		−	41.5424i		−	5.55134i
$57$	−4.36343	+	0.691099i	−0.577950	+	0.0915383i
$58$	12.5398	−	6.38936i	1.64656	−	0.838964i
$59$	7.10235	+	3.61883i	0.924648	+	0.471132i	0.850417	−	0.526109i	$-0.176350\pi$
$59$	7.10235	+	3.61883i	0.924648	+	0.471132i	0.0742310	+	0.997241i	$0.476350\pi$
$60$	−1.90015	+	11.9971i	−0.245308	+	1.54882i
$61$	1.85466	+	2.55272i	0.237465	+	0.326842i	0.911072	−	0.412247i	$-0.135256\pi$
$61$	1.85466	+	2.55272i	0.237465	+	0.326842i	−0.673607	+	0.739090i	$0.735256\pi$
$62$	7.14340	+	21.9851i	0.907213	+	2.79211i
$63$	4.34297	−	2.21285i	0.547163	−	0.278793i
$64$	11.1459	−	15.3410i	1.39324	−	1.91763i
$65$	−8.35571	+	1.28368i	−1.03640	+	0.159221i
$66$	2.04731	+	8.64840i	0.252006	+	1.06454i
$67$	−10.3300	−	10.3300i	−1.26202	−	1.26202i	−0.950114	−	0.311902i	$-0.899034\pi$
$67$	−10.3300	−	10.3300i	−1.26202	−	1.26202i	−0.311902	−	0.950114i	$-0.600966\pi$
$68$	1.24092	−	1.70798i	0.150484	−	0.207123i
$69$	−2.13568	−	0.693925i	−0.257106	−	0.0835388i
$70$	−13.9030	+	27.2863i	−1.66173	+	3.26133i
$71$	−0.392723	−	0.0622012i	−0.0466076	−	0.00738193i	0.133087	−	0.991104i	$-0.457511\pi$
$71$	−0.392723	−	0.0622012i	−0.0466076	−	0.00738193i	−0.179695	+	0.983722i	$0.557511\pi$
$72$	8.41794	+	1.33327i	0.992064	+	0.157127i
$73$	3.20511	−	6.29038i	0.375129	−	0.736233i	−0.623843	−	0.781549i	$-0.714430\pi$
$73$	3.20511	−	6.29038i	0.375129	−	0.736233i	0.998973	+	0.0453167i	$0.0144297\pi$
$74$	3.89251	+	1.26475i	0.452495	+	0.147024i
$75$	0.292342	−	0.402375i	0.0337568	−	0.0464622i
$76$	−16.1835	−	16.1835i	−1.85637	−	1.85637i
$77$	−1.31948	+	16.1121i	−0.150369	+	1.83614i
$78$	1.46710	+	9.54961i	0.166117	+	1.08128i
$79$	6.67030	−	9.18087i	0.750467	−	1.03293i	−0.247481	−	0.968893i	$-0.579603\pi$
$79$	6.67030	−	9.18087i	0.750467	−	1.03293i	0.997948	−	0.0640363i	$-0.0203973\pi$
$80$	−26.0661	+	13.2814i	−2.91428	+	1.48490i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	8.35289	+	11.4968i	0.922422	+	1.26961i
$83$	1.59697	−	10.0829i	0.175290	−	1.10674i	−0.730470	−	0.682945i	$-0.760699\pi$
$83$	1.59697	−	10.0829i	0.175290	−	1.10674i	0.905760	−	0.423792i	$-0.139301\pi$
$84$	22.4991	+	11.4639i	2.45485	+	1.25081i
$85$	−0.851344	+	0.433781i	−0.0923412	+	0.0470502i
$86$	10.8659	−	1.72099i	1.17170	−	0.185579i
$87$			5.25207i			0.563081i
$88$	−18.4261	+	21.4362i	−1.96423	+	2.28511i
$89$	1.08780	−	1.08780i	0.115306	−	0.115306i	−0.647099	−	0.762406i	$-0.724018\pi$
$89$	1.08780	−	1.08780i	0.115306	−	0.115306i	0.762406	+	0.647099i	$0.224018\pi$
$90$	−5.08294	−	3.69297i	−0.535788	−	0.389273i
$91$	−2.82977	+	17.3450i	−0.296640	+	1.81825i
$92$	−3.59493	−	11.0641i	−0.374798	−	1.15351i
$93$	−8.52046	−	1.34951i	−0.883530	−	0.139937i
$94$	1.26922	+	1.74694i	0.130910	+	0.180183i
$95$	3.20087	+	9.85125i	0.328402	+	1.01072i
$96$	7.44046	+	14.6027i	0.759389	+	1.49039i
$97$	2.40542	+	15.1872i	0.244233	+	1.54203i	0.739421	+	0.673243i	$0.235099\pi$
$97$	2.40542	+	15.1872i	0.244233	+	1.54203i	−0.495188	+	0.868786i	$0.664901\pi$
$98$	31.7534	+	31.7534i	3.20758	+	3.20758i
$99$	−3.22251	−	0.784476i	−0.323875	−	0.0788428i
$100$	2.57663			0.257663
$101$	−4.81129	−	3.49561i	−0.478741	−	0.347826i	0.322097	−	0.946707i	$-0.395612\pi$
$101$	−4.81129	−	3.49561i	−0.478741	−	0.347826i	−0.800838	+	0.598881i	$0.795612\pi$
$102$	0.495762	+	0.972988i	0.0490878	+	0.0963402i
$103$	5.01827	−	1.63054i	0.494465	−	0.160661i	−0.0511606	−	0.998690i	$-0.516292\pi$
$103$	5.01827	−	1.63054i	0.494465	−	0.160661i	0.545626	+	0.838029i	$0.316292\pi$
$104$	−21.8298	+	21.6280i	−2.14059	+	2.12080i
$105$	−6.71741	−	9.24572i	−0.655552	−	0.902290i
$106$	−2.83426	−	1.44413i	−0.275288	−	0.140266i
$107$	−3.64165	−	1.18324i	−0.352051	−	0.114388i	0.127652	−	0.991819i	$-0.459256\pi$
$107$	−3.64165	−	1.18324i	−0.352051	−	0.114388i	−0.479704	+	0.877431i	$0.659256\pi$
$108$	−3.04507	+	4.19118i	−0.293012	+	0.403296i
$109$	8.16544	−	8.16544i	0.782108	−	0.782108i	−0.198078	−	0.980186i	$-0.563470\pi$
$109$	8.16544	−	8.16544i	0.782108	−	0.782108i	0.980186	+	0.198078i	$0.0634701\pi$
$110$	19.2769	−	7.91321i	1.83798	−	0.754495i
$111$	−1.08001	+	1.08001i	−0.102510	+	0.102510i
$112$	9.51387	+	60.0682i	0.898976	+	5.67591i
$113$	5.17869	−	15.9384i	0.487170	−	1.49936i	−0.341643	−	0.939830i	$-0.610983\pi$
$113$	5.17869	−	15.9384i	0.487170	−	1.49936i	0.828813	−	0.559526i	$-0.189017\pi$
$114$	11.2588	−	3.65822i	1.05449	−	0.342624i
$115$	−0.823645	+	5.20029i	−0.0768053	+	0.484929i
$116$	−22.0124	+	15.9929i	−2.04380	+	1.48491i
$117$	−3.42387	−	1.13008i	−0.316537	−	0.104476i
$118$	−20.3146	−	6.60060i	−1.87011	−	0.607635i
$119$	0.310732	+	1.96188i	0.0284847	+	0.179846i
$120$		−	19.9831i		−	1.82420i
$121$	7.82736	−	7.72868i	0.711578	−	0.702607i
$122$	−5.97875	−	5.97875i	−0.541290	−	0.541290i
$123$	−5.23791	+	0.829604i	−0.472287	+	0.0748028i
$124$	−20.2894	−	39.8201i	−1.82204	−	3.57595i
$125$	9.40644	+	4.79282i	0.841337	+	0.428683i
$126$	−10.5668	+	7.67723i	−0.941365	+	0.683942i
$127$	−4.53574	+	3.29541i	−0.402482	+	0.292420i	−0.770551	−	0.637378i	$-0.780019\pi$
$127$	−4.53574	+	3.29541i	−0.402482	+	0.292420i	0.368069	+	0.929798i	$0.380019\pi$
$128$	−8.18777	+	16.0694i	−0.723704	+	1.42035i
$129$	−1.26867	+	3.90456i	−0.111700	+	0.343778i
$130$	21.5767	−	6.90013i	1.89240	−	0.605181i
$131$			4.29702i			0.375433i	0.982223	+	0.187716i	$0.0601086\pi$
$131$			4.29702i			0.375433i	−0.982223	+	0.187716i	$0.939891\pi$
$132$	−6.52490	−	15.8949i	−0.567920	−	1.38347i
$133$	21.5335			1.86719
$134$	31.6705	+	23.0100i	2.73591	+	1.98776i
$135$	2.08909	−	1.06445i	0.179801	−	0.0916130i
$136$	−1.57681	+	3.09467i	−0.135210	+	0.265365i
$137$	1.83695	−	11.5980i	0.156941	−	0.990888i	−0.775967	−	0.630773i	$-0.782738\pi$
$137$	1.83695	−	11.5980i	0.156941	−	0.990888i	0.932908	−	0.360114i	$-0.117262\pi$
$138$	5.94333	+	0.941331i	0.505930	+	0.0801314i
$139$	−13.1408	+	4.26972i	−1.11459	+	0.362153i	−0.807701	−	0.589592i	$-0.799289\pi$
$139$	−13.1408	+	4.26972i	−1.11459	+	0.362153i	−0.306891	+	0.951745i	$0.599289\pi$
$140$	18.2955	−	56.3077i	1.54625	−	4.75887i
$141$	−0.795902	+	0.126058i	−0.0670270	+	0.0106160i
$142$	1.06548			0.0894133
$143$	9.15354	−	7.69498i	0.765457	−	0.643487i
$144$	−12.4772			−1.03977
$145$	12.1626	−	1.92637i	1.01005	−	0.159977i
$146$	−5.84599	+	17.9921i	−0.483817	+	1.48904i
$147$	−15.9379	+	5.17855i	−1.31454	+	0.427119i
$148$	−7.81522	−	1.23781i	−0.642407	−	0.101747i
$149$	−1.87639	+	11.8471i	−0.153720	+	0.970551i	0.783393	+	0.621526i	$0.213487\pi$
$149$	−1.87639	+	11.8471i	−0.153720	+	0.970551i	−0.937114	+	0.349025i	$0.886513\pi$
$150$	−0.605061	+	1.18750i	−0.0494031	+	0.0969590i
$151$	−11.3714	+	5.79402i	−0.925392	+	0.471511i	−0.850674	−	0.525694i	$-0.823806\pi$
$151$	−11.3714	+	5.79402i	−0.925392	+	0.471511i	−0.0747179	+	0.997205i	$0.523806\pi$
$152$	30.4615	+	22.1316i	2.47076	+	1.79511i
$153$	−0.407518			−0.0329459
$154$	−3.26181	−	43.1964i	−0.262844	−	3.48087i
$155$			20.2265i			1.62463i
$156$	−5.68956	−	17.7912i	−0.455529	−	1.42444i
$157$	−5.98761	+	18.4280i	−0.477863	+	1.47071i	0.364193	+	0.931323i	$0.381345\pi$
$157$	−5.98761	+	18.4280i	−0.477863	+	1.47071i	−0.842057	+	0.539389i	$0.818655\pi$
$158$	−13.8055	+	27.0949i	−1.09831	+	2.15555i
$159$	0.960366	−	0.697746i	0.0761619	−	0.0553349i
$160$	31.0877	−	22.5865i	2.45770	−	1.78562i
$161$	9.75253	+	4.96916i	0.768607	+	0.391625i
$162$	−1.21654	−	2.38759i	−0.0955804	−	0.187587i
$163$	2.90189	−	0.459614i	0.227293	−	0.0359997i	−0.0417488	−	0.999128i	$-0.513293\pi$
$163$	2.90189	−	0.459614i	0.227293	−	0.0359997i	0.269042	+	0.963128i	$0.413293\pi$
$164$	−19.4268	−	19.4268i	−1.51698	−	1.51698i
$165$	−0.634707	+	7.75036i	−0.0494119	+	0.603365i
$166$			27.3554i			2.12319i
$167$	0.0846561	+	0.534497i	0.00655088	+	0.0413606i	0.990747	−	0.135720i	$-0.0433347\pi$
$167$	0.0846561	+	0.534497i	0.00655088	+	0.0413606i	−0.984196	+	0.177080i	$0.943335\pi$
$168$	−39.5092	−	12.8373i	−3.04820	−	0.990421i
$169$	10.5877	−	7.54324i	0.814439	−	0.580249i
$170$	2.07139	−	1.50495i	0.158868	−	0.115425i
$171$	−0.691099	+	4.36343i	−0.0528497	+	0.333680i
$172$	−20.2279	+	6.57244i	−1.54236	+	0.501144i
$173$	0.947075	−	2.91480i	0.0720048	−	0.221608i	−0.908577	−	0.417717i	$-0.862831\pi$
$173$	0.947075	−	2.91480i	0.0720048	−	0.221608i	0.980582	+	0.196109i	$0.0628305\pi$
$174$	−2.20162	−	13.9005i	−0.166905	−	1.05379i
$175$	−1.71421	+	1.71421i	−0.129582	+	0.129582i
$176$	21.7340	−	35.2155i	1.63826	−	2.65447i
$177$	5.63646	−	5.63646i	0.423662	−	0.423662i
$178$	−2.42305	+	3.33504i	−0.181615	+	0.249972i
$179$	−11.0116	−	3.57790i	−0.823048	−	0.267425i	−0.132934	−	0.991125i	$-0.542440\pi$
$179$	−11.0116	−	3.57790i	−0.823048	−	0.267425i	−0.690114	+	0.723700i	$0.742440\pi$
$180$	10.8227	+	5.51445i	0.806678	+	0.411023i
$181$	13.7696	+	18.9522i	1.02348	+	1.40871i	0.909732	+	0.415197i	$0.136287\pi$
$181$	13.7696	+	18.9522i	1.02348	+	1.40871i	0.113753	+	0.993509i	$0.463713\pi$
$182$	0.218597	−	47.0926i	0.0162035	−	3.49074i
$183$	3.00090	−	0.975052i	0.221833	−	0.0720779i
$184$	8.68886	+	17.0529i	0.640552	+	1.25715i
$185$	2.89720	+	2.10494i	0.213006	+	0.154758i
$186$	23.1165			1.69499
$187$	0.709853	−	1.15017i	0.0519096	−	0.0841088i
$188$	−2.95191	−	2.95191i	−0.215290	−	0.215290i
$189$	−0.762498	−	4.81422i	−0.0554636	−	0.350183i
$190$	−12.6012	−	24.7312i	−0.914186	−	1.79419i
$191$	−4.29536	−	13.2198i	−0.310801	−	0.956548i	−0.977448	−	0.211174i	$-0.932271\pi$
$191$	−4.29536	−	13.2198i	−0.310801	−	0.956548i	0.666647	−	0.745373i	$-0.267729\pi$
$192$	−11.1459	−	15.3410i	−0.804386	−	1.10714i
$193$	−12.8817	−	2.04027i	−0.927247	−	0.146862i	−0.325494	−	0.945544i	$-0.605531\pi$
$193$	−12.8817	−	2.04027i	−0.927247	−	0.146862i	−0.601753	+	0.798682i	$0.705531\pi$
$194$	−12.7327	−	39.1872i	−0.914155	−	2.81348i
$195$	−1.36120	+	8.34343i	−0.0974775	+	0.597486i
$196$	−70.2363	−	51.0296i	−5.01688	−	3.64497i
$197$	−11.0807	+	11.0807i	−0.789467	+	0.789467i	−0.981407	−	0.191939i	$-0.938522\pi$
$197$	−11.0807	+	11.0807i	−0.789467	+	0.789467i	0.191939	+	0.981407i	$0.438522\pi$
$198$	8.85777	+	0.725398i	0.629495	+	0.0515518i
$199$		−	2.37624i		−	0.168447i	−0.996447	−	0.0842237i	$-0.973159\pi$
$199$		−	2.37624i		−	0.168447i	0.996447	−	0.0842237i	$-0.0268410\pi$
$200$	−4.18677	+	0.663119i	−0.296049	+	0.0468896i
$201$	−13.0166	+	6.63230i	−0.918122	+	0.467806i
$202$	14.1992	+	7.23486i	0.999054	+	0.509043i
$203$	4.00469	−	25.2846i	0.281074	−	1.77463i
$204$	−1.24092	−	1.70798i	−0.0868818	−	0.119583i
$205$	3.84236	+	11.8256i	0.268362	+	0.825933i
$206$	−12.5982	+	6.41911i	−0.877758	+	0.447240i
$207$	−1.31992	+	1.81672i	−0.0917411	+	0.126271i
$208$	26.6116	−	36.2724i	1.84518	−	2.51504i
$209$	−11.1114	−	9.55116i	−0.768593	−	0.660668i
$210$	21.6545	+	21.6545i	1.49430	+	1.49430i
$211$	4.74314	−	6.52837i	0.326531	−	0.449432i	−0.613916	−	0.789371i	$-0.710407\pi$
$211$	4.74314	−	6.52837i	0.326531	−	0.449432i	0.940447	+	0.339940i	$0.110407\pi$
$212$	5.84876	+	1.90038i	0.401694	+	0.130518i
$213$	−0.180515	+	0.354281i	−0.0123687	+	0.0242749i
$214$	10.1342	+	1.60511i	0.692763	+	0.109723i
$215$	9.50743	+	1.50583i	0.648401	+	0.102697i
$216$	3.86930	−	7.59393i	0.263273	−	0.516702i
$217$	39.9904	+	12.9937i	2.71472	+	0.882067i
$218$	−18.1883	+	25.0341i	−1.23187	+	1.69552i
$219$	−4.99207	−	4.99207i	−0.337333	−	0.337333i
$220$	−34.4159	+	20.9402i	−2.32032	+	1.41179i
$221$	0.869158	−	1.18469i	0.0584659	−	0.0796908i
$222$	2.40570	−	3.31116i	0.161460	−	0.222231i
$223$	−13.3916	+	6.82339i	−0.896771	+	0.456928i	−0.840701	−	0.541499i	$-0.817857\pi$
$223$	−13.3916	+	6.82339i	−0.896771	+	0.456928i	−0.0560698	+	0.998427i	$0.517857\pi$
$224$	−24.6855	−	75.9741i	−1.64937	−	5.07623i
$225$	−0.292342	−	0.402375i	−0.0194895	−	0.0268250i
$226$	−7.02505	+	44.3545i	−0.467300	+	2.95041i
$227$	−16.0433	−	8.17446i	−1.06483	−	0.542558i	−0.168389	−	0.985721i	$-0.553857\pi$
$227$	−16.0433	−	8.17446i	−1.06483	−	0.542558i	−0.896441	+	0.443162i	$0.853857\pi$
$228$	−20.3923	+	10.3904i	−1.35052	+	0.688122i
$229$	20.2152	−	3.20178i	1.33586	−	0.211579i	0.552689	−	0.833387i	$-0.313602\pi$
$229$	20.2152	−	3.20178i	1.33586	−	0.211579i	0.783170	+	0.621808i	$0.213602\pi$
$230$		−	14.1087i		−	0.930301i
$231$	14.9157	+	6.23380i	0.981383	+	0.410154i
$232$	31.6520	−	31.6520i	2.07806	−	2.07806i
$233$	−3.15459	−	2.29195i	−0.206664	−	0.150150i	0.479639	−	0.877466i	$-0.340768\pi$
$233$	−3.15459	−	2.29195i	−0.206664	−	0.150150i	−0.686303	+	0.727316i	$0.740768\pi$
$234$	9.53558	+	1.55569i	0.623361	+	0.101699i
$235$	0.583847	+	1.79690i	0.0380860	+	0.117217i
$236$	40.7868	+	6.46000i	2.65500	+	0.420510i
$237$	−6.67030	−	9.18087i	−0.433282	−	0.596362i
$238$	−1.64481	−	5.06220i	−0.106617	−	0.328134i
$239$	7.84026	+	15.3874i	0.507144	+	0.995327i	0.992642	+	0.121089i	$0.0386386\pi$
$239$	7.84026	+	15.3874i	0.507144	+	0.995327i	−0.485497	+	0.874238i	$0.661361\pi$
$240$	4.57645	+	28.8945i	0.295408	+	1.86513i
$241$	−5.13475	−	5.13475i	−0.330758	−	0.330758i	0.522116	−	0.852874i	$-0.325143\pi$
$241$	−5.13475	−	5.13475i	−0.330758	−	0.330758i	−0.852874	+	0.522116i	$0.825143\pi$
$242$	−17.4766	+	23.7364i	−1.12344	+	1.52583i
$243$	1.00000			0.0641500
$244$	13.2246	+	9.60821i	0.846616	+	0.615103i
$245$	17.8381	+	35.0093i	1.13964	+	2.23666i
$246$	13.5153	−	4.39137i	0.861701	−	0.279984i
$247$	−11.2109	−	11.3154i	−0.713330	−	0.719984i
$248$	43.2163	+	59.4822i	2.74424	+	3.77712i
$249$	−9.09587	−	4.63458i	−0.576427	−	0.293704i
$250$	−26.9048	−	8.74191i	−1.70161	−	0.552887i
$251$	−5.31361	+	7.31356i	−0.335392	+	0.461628i	−0.943089	−	0.332542i	$-0.892094\pi$
$251$	−5.31361	+	7.31356i	−0.335392	+	0.461628i	0.607696	+	0.794169i	$0.292094\pi$
$252$	17.8554	−	17.8554i	1.12478	−	1.12478i
$253$	−2.82830	−	6.88985i	−0.177814	−	0.433161i
$254$	10.6232	−	10.6232i	0.666559	−	0.666559i
$255$	0.149471	+	0.943722i	0.00936023	+	0.0590982i
$256$	3.21468	−	9.89375i	0.200917	−	0.618360i
$257$	23.0379	−	7.48547i	1.43706	−	0.466931i	0.516084	−	0.856538i	$-0.327389\pi$
$257$	23.0379	−	7.48547i	1.43706	−	0.466931i	0.920981	+	0.389607i	$0.127389\pi$
$258$	1.72099	−	10.8659i	0.107144	−	0.676481i
$259$	6.02292	−	4.37591i	0.374246	−	0.271906i
$260$	−39.1137	+	19.7013i	−2.42573	+	1.22182i
$261$	4.99502	+	1.62298i	0.309184	+	0.100460i
$262$	−1.80127	−	11.3728i	−0.111283	−	0.702614i
$263$			3.83851i			0.236692i	0.992972	+	0.118346i	$0.0377593\pi$
$263$			3.83851i			0.236692i	−0.992972	+	0.118346i	$0.962241\pi$
$264$	14.6930	+	24.1484i	0.904294	+	1.48623i
$265$	−1.96807	−	1.96807i	−0.120898	−	0.120898i
$266$	−56.9920	+	9.02664i	−3.49440	+	0.553459i
$267$	−0.698410	−	1.37071i	−0.0427420	−	0.0838859i
$268$	−67.4336	−	34.3592i	−4.11917	−	2.09882i
$269$	21.0925	−	15.3246i	1.28603	−	0.934357i	0.286314	−	0.958136i	$-0.407570\pi$
$269$	21.0925	−	15.3246i	1.28603	−	0.934357i	0.999717	+	0.0237792i	$0.00756987\pi$
$270$	−5.08294	+	3.69297i	−0.309338	+	0.224747i
$271$	−1.90626	+	3.74126i	−0.115797	+	0.227265i	−0.941630	−	0.336651i	$-0.890706\pi$
$271$	−1.90626	+	3.74126i	−0.115797	+	0.227265i	0.825832	+	0.563916i	$0.190706\pi$
$272$	1.57126	−	4.83584i	0.0952716	−	0.293216i
$273$	15.6216	+	8.05116i	0.945462	+	0.487278i
$274$			31.4662i			1.90094i
$275$	1.64488	−	0.124207i	0.0991901	−	0.00748996i
$276$	−11.6335			−0.700252
$277$	1.62111	+	1.17781i	0.0974032	+	0.0707676i	0.635421	−	0.772166i	$-0.280827\pi$
$277$	1.62111	+	1.17781i	0.0974032	+	0.0707676i	−0.538018	+	0.842934i	$0.680827\pi$
$278$	32.9896	−	16.8091i	1.97859	−	1.00814i
$279$	−3.91643	+	7.68642i	−0.234470	+	0.460174i
$280$	−15.2371	+	96.2031i	−0.910590	+	5.74924i
$281$	0.326152	+	0.0516574i	0.0194566	+	0.00308162i	0.166155	−	0.986100i	$-0.446865\pi$
$281$	0.326152	+	0.0516574i	0.0194566	+	0.00308162i	−0.146699	+	0.989181i	$0.546865\pi$
$282$	2.05365	−	0.667270i	0.122293	−	0.0397353i
$283$	−3.52713	+	10.8554i	−0.209666	+	0.645285i	0.789824	+	0.613334i	$0.210172\pi$
$283$	−3.52713	+	10.8554i	−0.209666	+	0.645285i	−0.999489	+	0.0319510i	$0.989828\pi$
$284$	−2.03453	+	0.322238i	−0.120727	+	0.0191213i
$285$	10.3582			0.613568
$286$	−21.0007	+	24.2032i	−1.24180	+	1.43116i
$287$	25.8490			1.52582
$288$	16.1873	−	2.56381i	0.953843	−	0.151074i
$289$	−5.20197	+	16.0100i	−0.305998	+	0.941766i
$290$	−31.3830	+	10.1969i	−1.84287	+	0.598785i
$291$	15.1872	+	2.40542i	0.890291	+	0.141008i
$292$	5.72145	−	36.1238i	0.334823	−	2.11399i
$293$	−12.0311	+	23.6124i	−0.702866	+	1.37945i	0.212633	+	0.977132i	$0.431796\pi$
$293$	−12.0311	+	23.6124i	−0.702866	+	1.37945i	−0.915499	+	0.402320i	$0.868204\pi$
$294$	40.0116	−	20.3869i	2.33353	−	1.18899i
$295$	−15.1202	−	10.9854i	−0.880330	−	0.639597i
$296$	13.0175			0.756630
$297$	−1.74189	+	2.82238i	−0.101075	+	0.163771i
$298$		−	32.1419i		−	1.86193i
$299$	−2.46621	−	7.71184i	−0.142625	−	0.445987i
$300$	0.796221	−	2.45052i	0.0459698	−	0.141481i
$301$	9.08487	−	17.8301i	0.523643	−	1.02771i
$302$	27.6675	−	20.1016i	1.59209	−	1.15672i
$303$	−4.81129	+	3.49561i	−0.276401	+	0.200817i
$304$	−49.1142	−	25.0250i	−2.81689	−	1.43528i
$305$	−3.35869	−	6.59179i	−0.192318	−	0.377445i
$306$	1.07857	−	0.170828i	0.0616575	−	0.00976559i
$307$	4.99181	+	4.99181i	0.284898	+	0.284898i	0.835059	−	0.550161i	$-0.185434\pi$
$307$	4.99181	+	4.99181i	0.284898	+	0.284898i	−0.550161	+	0.835059i	$0.685434\pi$
$308$	19.2925	+	81.4968i	1.09929	+	4.64371i
$309$		−	5.27653i		−	0.300171i
$310$	−8.47876	−	53.5328i	−0.481561	−	3.04046i
$311$	−16.0680	−	5.22081i	−0.911133	−	0.296045i	−0.184308	−	0.982868i	$-0.559005\pi$
$311$	−16.0680	−	5.22081i	−0.911133	−	0.296045i	−0.726824	+	0.686824i	$0.759005\pi$
$312$	13.8237	+	27.4448i	0.782614	+	1.55375i
$313$	−19.7096	+	14.3198i	−1.11405	+	0.809404i	−0.983297	−	0.182011i	$-0.941740\pi$
$313$	−19.7096	+	14.3198i	−1.11405	+	0.809404i	−0.130753	+	0.991415i	$0.541740\pi$
$314$	8.12238	−	51.2827i	0.458373	−	2.89405i
$315$	−10.8690	+	3.53155i	−0.612399	+	0.198980i
$316$	18.1672	−	55.9128i	1.02198	−	3.14534i
$317$	1.86682	+	11.7867i	0.104851	+	0.662004i	0.982998	+	0.183614i	$0.0587796\pi$
$317$	1.86682	+	11.7867i	0.104851	+	0.662004i	−0.878147	+	0.478390i	$0.841220\pi$
$318$	−2.24928	+	2.24928i	−0.126133	+	0.126133i
$319$	−13.2814	+	11.2708i	−0.743618	+	0.631042i
$320$	−31.4383	+	31.4383i	−1.75745	+	1.75745i
$321$	−2.25066	+	3.09777i	−0.125620	+	0.172901i
$322$	−27.8948	−	9.06355i	−1.55451	−	0.505092i
$323$	−1.60412	−	0.817338i	−0.0892554	−	0.0454779i
$324$	3.04507	+	4.19118i	0.169170	+	0.232843i
$325$	1.79325	+	0.00832398i	0.0994714	+	0.000461732i
$326$	−7.48767	+	2.43289i	−0.414703	+	0.134745i
$327$	−5.24254	−	10.2891i	−0.289913	−	0.568986i
$328$	36.5664	+	26.5670i	2.01904	+	1.46692i
$329$	3.92777			0.216545
$330$	−1.56902	−	20.7787i	−0.0863719	−	1.14383i
$331$	−7.92447	−	7.92447i	−0.435568	−	0.435568i	0.454949	−	0.890517i	$-0.349657\pi$
$331$	−7.92447	−	7.92447i	−0.435568	−	0.435568i	−0.890517	+	0.454949i	$0.849657\pi$
$332$	−8.27321	−	52.2350i	−0.454052	−	2.86677i
$333$	0.693410	+	1.36089i	0.0379986	+	0.0745765i
$334$	−0.448113	−	1.37915i	−0.0245197	−	0.0754638i
$335$	20.1332	+	27.7110i	1.10000	+	1.51401i
$336$	60.0682	+	9.51387i	3.27699	+	0.519024i
$337$	−8.75937	−	26.9586i	−0.477153	−	1.46853i	−0.843032	−	0.537864i	$-0.819231\pi$
$337$	−8.75937	−	26.9586i	−0.477153	−	1.46853i	0.365879	−	0.930663i	$-0.380769\pi$
$338$	−24.8601	+	24.4027i	−1.35221	+	1.32733i
$339$	−13.5580	−	9.85045i	−0.736369	−	0.535003i
$340$	−3.50016	+	3.50016i	−0.189823	+	0.189823i
$341$	−14.8720	−	24.4425i	−0.805363	−	1.32364i
$342$		−	11.8383i		−	0.640139i
$343$	46.9778	−	7.44055i	2.53656	−	0.401752i
$344$	31.1769	−	15.8854i	1.68095	−	0.856484i
$345$	4.69125	+	2.39031i	0.252568	+	0.128690i
$346$	−1.28474	+	8.11151i	−0.0690679	+	0.436078i
$347$	−11.9388	−	16.4323i	−0.640906	−	0.882131i	0.357758	−	0.933815i	$-0.383541\pi$
$347$	−11.9388	−	16.4323i	−0.640906	−	0.882131i	−0.998664	+	0.0516831i	$0.983541\pi$
$348$	8.40797	+	25.8771i	0.450715	+	1.38716i
$349$	−13.7457	+	7.00378i	−0.735790	+	0.374904i	−0.781379	−	0.624057i	$-0.785483\pi$
$349$	−13.7457	+	7.00378i	−0.735790	+	0.374904i	0.0455893	+	0.998960i	$0.485483\pi$
$350$	3.81837	−	5.25553i	0.204100	−	0.280920i
$351$	−2.13281	+	2.90708i	−0.113841	+	0.155169i
$352$	−20.9604	+	50.1524i	−1.11719	+	2.67313i
$353$	3.60928	+	3.60928i	0.192103	+	0.192103i	0.796604	−	0.604501i	$-0.206628\pi$
$353$	3.60928	+	3.60928i	0.192103	+	0.192103i	−0.604501	+	0.796604i	$0.706628\pi$
$354$	−12.5551	+	17.2806i	−0.667296	+	0.918454i
$355$	0.886645	+	0.288089i	0.0470582	+	0.0152902i
$356$	3.61817	−	7.10105i	0.191762	−	0.376355i
$357$	1.96188	+	0.310732i	0.103834	+	0.0164457i
$358$	30.6440	+	4.85353i	1.61959	+	0.256517i
$359$	−7.18776	+	14.1068i	−0.379355	+	0.744527i	−0.999191	−	0.0402046i	$-0.987199\pi$
$359$	−7.18776	+	14.1068i	−0.379355	+	0.744527i	0.619836	+	0.784731i	$0.287199\pi$
$360$	−19.0051	−	6.17512i	−1.00166	−	0.325457i
$361$	−0.303956	+	0.418360i	−0.0159977	+	0.0220189i
$362$	−44.3881	−	44.3881i	−2.33299	−	2.33299i
$363$	−4.93162	−	9.83255i	−0.258843	−	0.516075i
$364$	13.8250	+	89.9892i	0.724628	+	4.71672i
$365$	−9.72952	+	13.3915i	−0.509266	+	0.700945i
$366$	−7.53366	+	3.83859i	−0.393791	+	0.200646i
$367$	−4.52961	−	13.9407i	−0.236444	−	0.727699i	−0.996927	−	0.0783410i	$-0.975038\pi$
$367$	−4.52961	−	13.9407i	−0.236444	−	0.727699i	0.760483	−	0.649358i	$-0.224962\pi$
$368$	−16.4690	−	22.6677i	−0.858507	−	1.18163i
$369$	−0.829604	+	5.23791i	−0.0431874	+	0.272675i
$370$	−8.55029	−	4.35659i	−0.444509	−	0.226488i
$371$	−5.15544	+	2.62683i	−0.267657	+	0.136378i
$372$	−44.1409	+	6.99123i	−2.28860	+	0.362479i
$373$			10.2789i			0.532222i	0.963942	+	0.266111i	$0.0857388\pi$
$373$			10.2789i			0.532222i	−0.963942	+	0.266111i	$0.914261\pi$
$374$	−1.39660	+	3.34168i	−0.0722167	+	0.172794i
$375$	7.46499	−	7.46499i	0.385490	−	0.385490i
$376$	5.55627	+	4.03686i	0.286543	+	0.208185i
$377$	−15.3715	+	11.0594i	−0.791675	+	0.569590i
$378$	4.03616	+	12.4220i	0.207598	+	0.638920i
$379$	9.42862	+	1.49335i	0.484316	+	0.0767081i	0.393818	−	0.919189i	$-0.371154\pi$
$379$	9.42862	+	1.49335i	0.484316	+	0.0767081i	0.0904981	+	0.995897i	$0.471154\pi$
$380$	31.5415	+	43.4131i	1.61804	+	2.22705i
$381$	1.73250	+	5.33209i	0.0887586	+	0.273171i
$382$	16.9100	+	33.1877i	0.865191	+	1.69803i
$383$	−4.29413	−	27.1120i	−0.219420	−	1.38536i	−0.813785	−	0.581166i	$-0.802597\pi$
$383$	−4.29413	−	27.1120i	−0.219420	−	1.38536i	0.594366	−	0.804195i	$-0.297403\pi$
$384$	12.7528	+	12.7528i	0.650786	+	0.650786i
$385$	8.96526	−	36.8280i	0.456912	−	1.87693i
$386$	34.9489			1.77885
$387$	3.32142	+	2.41315i	0.168837	+	0.122667i
$388$	36.1646	+	70.9770i	1.83598	+	3.60331i
$389$	13.3979	−	4.35324i	0.679300	−	0.220718i	0.0510111	−	0.998698i	$-0.483756\pi$
$389$	13.3979	−	4.35324i	0.679300	−	0.220718i	0.628289	+	0.777980i	$0.283756\pi$
$390$	0.105151	−	22.6529i	0.00532455	−	1.14707i
$391$	−0.537893	−	0.740346i	−0.0272024	−	0.0374409i
$392$	127.260	+	64.8423i	6.42761	+	3.27503i
$393$	4.08671	+	1.32785i	0.206147	+	0.0669813i
$394$	24.6820	−	33.9719i	1.24346	−	1.71148i
$395$	−18.8143	+	18.8143i	−0.946651	+	0.946651i
$396$	−17.1333	+	1.29375i	−0.860979	+	0.0650135i
$397$	−10.1286	+	10.1286i	−0.508338	+	0.508338i	−0.914016	−	0.405678i	$-0.867036\pi$
$397$	−10.1286	+	10.1286i	−0.508338	+	0.508338i	0.405678	+	0.914016i	$0.367036\pi$
$398$	0.996101	+	6.28913i	0.0499300	+	0.315246i
$399$	6.65421	−	20.4795i	0.333127	−	1.02526i
$400$	5.90198	−	1.91767i	0.295099	−	0.0958835i
$401$	−5.10118	+	32.2076i	−0.254741	+	1.60837i	0.446052	+	0.895007i	$0.352830\pi$
$401$	−5.10118	+	32.2076i	−0.254741	+	1.60837i	−0.700793	+	0.713364i	$0.747170\pi$
$402$	31.6705	−	23.0100i	1.57958	−	1.14763i
$403$	−13.9921	−	27.7790i	−0.696995	−	1.38377i
$404$	−29.3014	−	9.52061i	−1.45780	−	0.473668i
$405$	−0.366783	−	2.31578i	−0.0182256	−	0.115072i
$406$			68.5988i			3.40450i
$407$	−5.04880	−	0.413466i	−0.250260	−	0.0204947i
$408$	2.45594	+	2.45594i	0.121587	+	0.121587i
$409$	0.0290357	−	0.00459880i	0.00143572	−	0.000227396i	−0.155717	−	0.987802i	$-0.549769\pi$
$409$	0.0290357	−	0.00459880i	0.00143572	−	0.000227396i	0.157152	+	0.987574i	$0.449769\pi$
$410$	−15.1266	−	29.6877i	−0.747050	−	1.46617i
$411$	−10.4627	−	5.33103i	−0.516089	−	0.262961i
$412$	22.1148	−	16.0674i	1.08952	−	0.791583i
$413$	−31.4330	+	22.8374i	−1.54671	+	1.12375i
$414$	2.73185	−	5.36156i	0.134263	−	0.263506i
$415$	−7.39644	+	22.7639i	−0.363077	+	1.11744i
$416$	−27.0711	+	52.5258i	−1.32727	+	2.57529i
$417$			13.8171i			0.676626i
$418$	33.4120	+	20.6210i	1.63423	+	1.00860i
$419$	−22.7622			−1.11201			−0.556004	−	0.831180i	$-0.687666\pi$
$419$	−22.7622			−1.11201			−0.556004	+	0.831180i	$0.687666\pi$
$420$	−47.8982	−	34.8001i	−2.33719	−	1.69807i
$421$	26.3377	−	13.4198i	1.28362	−	0.654039i	0.326906	−	0.945057i	$-0.393994\pi$
$421$	26.3377	−	13.4198i	1.28362	−	0.654039i	0.956717	+	0.291018i	$0.0939941\pi$
$422$	−9.81689	+	19.2667i	−0.477879	+	0.937890i
$423$	−0.126058	+	0.795902i	−0.00612917	+	0.0386981i
$424$	−9.99275	−	1.58270i	−0.485291	−	0.0768625i
$425$	0.192764	−	0.0626329i	0.00935044	−	0.00303814i
$426$	0.329252	−	1.01333i	0.0159523	−	0.0490962i
$427$	−15.1905	+	2.40594i	−0.735119	+	0.116431i
$428$	−19.8367			−0.958844
$429$	−4.48977	−	11.0834i	−0.216768	−	0.535112i
$430$	−25.7943			−1.24391
$431$	8.08929	−	1.28122i	0.389647	−	0.0617141i	0.0414628	−	0.999140i	$-0.486798\pi$
$431$	8.08929	−	1.28122i	0.389647	−	0.0617141i	0.348185	+	0.937426i	$0.386798\pi$
$432$	−3.85568	+	11.8666i	−0.185507	+	0.570930i
$433$	−14.5722	+	4.73479i	−0.700295	+	0.227540i	−0.637459	−	0.770484i	$-0.720014\pi$
$433$	−14.5722	+	4.73479i	−0.700295	+	0.227540i	−0.0628359	+	0.998024i	$0.520014\pi$
$434$	−111.288	−	17.6263i	−5.34200	−	0.846090i
$435$	1.92637	−	12.1626i	0.0923625	−	0.583154i
$436$	27.1594	−	53.3033i	1.30070	−	2.55276i
$437$	−8.83932	+	4.50386i	−0.422842	+	0.215449i
$438$	15.3050	+	11.1197i	0.731301	+	0.531321i
$439$	33.5471			1.60112			0.800559	−	0.599254i	$-0.204536\pi$
$439$	33.5471			1.60112			0.800559	+	0.599254i	$0.204536\pi$
$440$	50.5333	−	42.8831i	2.40908	−	2.04437i
$441$			16.7581i			0.798006i
$442$	−1.80376	+	3.49982i	−0.0857962	+	0.166470i
$443$	2.91233	−	8.96324i	0.138369	−	0.425857i	−0.857730	−	0.514101i	$-0.828126\pi$
$443$	2.91233	−	8.96324i	0.138369	−	0.425857i	0.996099	+	0.0882444i	$0.0281257\pi$
$444$	−3.59226	+	7.05022i	−0.170481	+	0.334588i
$445$	−2.91809	+	2.12011i	−0.138331	+	0.100503i
$446$	32.5830	−	23.6729i	1.54285	−	1.12094i
$447$	10.6874	+	5.44551i	0.505497	+	0.257564i
$448$	41.9614	+	82.3538i	1.98249	+	3.89085i
$449$	30.3004	−	4.79911i	1.42997	−	0.226484i	0.607057	−	0.794658i	$-0.292350\pi$
$449$	30.3004	−	4.79911i	1.42997	−	0.226484i	0.822908	+	0.568174i	$0.192350\pi$
$450$	0.942405	+	0.942405i	0.0444254	+	0.0444254i
$451$	−13.3383	−	11.4653i	−0.628075	−	0.539881i
$452$		−	86.8192i		−	4.08363i
$453$	1.99648	+	12.6053i	0.0938029	+	0.592248i
$454$	45.8879	+	14.9099i	2.15363	+	0.699756i
$455$	12.9150	−	39.1292i	0.605463	−	1.83441i
$456$	30.4615	−	22.1316i	1.42649	−	1.03641i
$457$	2.69981	−	17.0459i	0.126292	−	0.797375i	−0.840500	−	0.541811i	$-0.817739\pi$
$457$	2.69981	−	17.0459i	0.126292	−	0.797375i	0.966792	−	0.255564i	$-0.0822612\pi$
$458$	−52.1608	+	16.9481i	−2.43732	+	0.791932i
$459$	−0.125930	+	0.387573i	−0.00587791	+	0.0180904i
$460$	4.26696	+	26.9405i	0.198948	+	1.25611i
$461$	7.93208	−	7.93208i	0.369434	−	0.369434i	−0.497837	−	0.867271i	$-0.665872\pi$
$461$	7.93208	−	7.93208i	0.369434	−	0.369434i	0.867271	+	0.497837i	$0.165872\pi$
$462$	−42.0902	−	10.2463i	−1.95821	−	0.476699i
$463$	15.7936	−	15.7936i	0.733991	−	0.733991i	−0.237417	−	0.971408i	$-0.576301\pi$
$463$	15.7936	−	15.7936i	0.733991	−	0.733991i	0.971408	+	0.237417i	$0.0763007\pi$
$464$	−38.5184	+	53.0160i	−1.78817	+	2.46121i
$465$	19.2365	+	6.25033i	0.892072	+	0.289852i
$466$	9.30992	+	4.74364i	0.431274	+	0.219745i
$467$	−9.88416	−	13.6044i	−0.457384	−	0.629535i	0.516579	−	0.856239i	$-0.327205\pi$
$467$	−9.88416	−	13.6044i	−0.457384	−	0.629535i	−0.973964	+	0.226704i	$0.927205\pi$
$468$	−18.6786	−	0.0867035i	−0.863421	−	0.00400787i
$469$	67.7220	−	22.0042i	3.12711	−	1.01606i
$470$	−2.29849	−	4.51105i	−0.106022	−	0.208079i
$471$	15.6758	+	11.3891i	0.722301	+	0.524783i
$472$	−67.9372			−3.12706
$473$	−12.5964	+	5.17084i	−0.579182	+	0.237756i
$474$	21.5026	+	21.5026i	0.987648	+	0.987648i
$475$	−0.343727	−	2.17020i	−0.0157713	−	0.0995758i
$476$	4.67174	+	9.16880i	0.214129	+	0.420251i
$477$	−0.366827	−	1.12898i	−0.0167959	−	0.0516923i
$478$	−27.2008	−	37.4387i	−1.24414	−	1.71241i
$479$	16.6208	+	2.63248i	0.759424	+	0.120281i	0.524124	−	0.851642i	$-0.324393\pi$
$479$	16.6208	+	2.63248i	0.759424	+	0.120281i	0.235300	+	0.971923i	$0.424393\pi$
$480$	−11.8744	−	36.5457i	−0.541991	−	1.66808i
$481$	−5.43514	−	0.886723i	−0.247821	−	0.0404311i
$482$	15.7424	+	11.4375i	0.717048	+	0.520966i
$483$	7.73965	−	7.73965i	0.352166	−	0.352166i
$484$	26.1928	−	50.6101i	1.19058	−	2.30046i
$485$		−	36.0525i		−	1.63706i
$486$	−2.64667	+	0.419191i	−0.120055	+	0.0190149i
$487$	1.98656	−	1.01220i	0.0900194	−	0.0458672i	−0.408401	−	0.912803i	$-0.633914\pi$
$487$	1.98656	−	1.01220i	0.0900194	−	0.0458672i	0.498421	+	0.866935i	$0.333914\pi$
$488$	−23.9614	−	12.2089i	−1.08468	−	0.552673i
$489$	0.459614	−	2.90189i	0.0207844	−	0.131228i
$490$	−61.8872	−	85.1805i	−2.79578	−	3.84806i
$491$	−7.56845	−	23.2933i	−0.341560	−	1.05121i	−0.963400	−	0.268068i	$-0.913615\pi$
$491$	−7.56845	−	23.2933i	−0.341560	−	1.05121i	0.621840	−	0.783144i	$-0.286385\pi$
$492$	−24.4792	+	12.4728i	−1.10361	+	0.562316i
$493$	−1.25805	+	1.73155i	−0.0566595	+	0.0779851i
$494$	34.4148	+	25.2487i	1.54839	+	1.13599i
$495$	7.17490	+	2.99864i	0.322488	+	0.134779i
$496$	−76.1109	−	76.1109i	−3.41748	−	3.41748i
$497$	1.13918	−	1.56794i	0.0510991	−	0.0703318i
$498$	26.0165	+	8.45329i	1.16583	+	0.378801i
$499$	−3.41607	+	6.70441i	−0.152924	+	0.300131i	−0.954741	−	0.297440i	$-0.903867\pi$
$499$	−3.41607	+	6.70441i	−0.152924	+	0.300131i	0.801816	+	0.597570i	$0.203867\pi$
$500$	54.0185	+	8.55569i	2.41578	+	0.382622i
$501$	0.534497	+	0.0846561i	0.0238796	+	0.00378215i
$502$	10.9976	−	21.5840i	0.490847	−	0.963341i
$503$	−27.0921	−	8.80275i	−1.20798	−	0.392495i	−0.365287	−	0.930895i	$-0.619029\pi$
$503$	−27.0921	−	8.80275i	−1.20798	−	0.392495i	−0.842690	+	0.538400i	$0.819029\pi$
$504$	−24.4180	+	33.6085i	−1.08767	+	1.49704i
$505$	9.85975	+	9.85975i	0.438753	+	0.438753i
$506$	10.3737	+	17.0496i	0.461169	+	0.757946i
$507$	−3.90227	−	12.4005i	−0.173306	−	0.550725i
$508$	−17.0721	+	23.4978i	−0.757453	+	1.04255i
$509$	−28.6943	+	14.6205i	−1.27185	+	0.648041i	−0.953917	−	0.300071i	$-0.902990\pi$
$509$	−28.6943	+	14.6205i	−1.27185	+	0.648041i	−0.317936	+	0.948112i	$0.602990\pi$
$510$	−0.791200	−	2.43506i	−0.0350349	−	0.107826i
$511$	20.2265	+	27.8394i	0.894767	+	1.23154i
$512$	1.28182	−	8.09310i	0.0566490	−	0.357668i
$513$	3.93631	+	2.00565i	0.173792	+	0.0885515i
$514$	−57.8359	+	29.4688i	−2.55103	+	1.29981i
$515$	−12.2193	+	1.93534i	−0.538445	+	0.0852813i
$516$			21.2689i			0.936310i
$517$	−2.02675	−	1.74216i	−0.0891365	−	0.0766201i
$518$	−14.1063	+	14.1063i	−0.619797	+	0.619797i
$519$	−2.47948	−	1.80144i	−0.108837	−	0.0790746i
$520$	58.4857	−	42.0790i	2.56477	−	1.84529i
$521$	7.68082	+	23.6391i	0.336503	+	1.03565i	0.965977	+	0.258628i	$0.0832703\pi$
$521$	7.68082	+	23.6391i	0.336503	+	1.03565i	−0.629474	+	0.777021i	$0.716730\pi$
$522$	−13.9005	−	2.20162i	−0.608408	−	0.0963624i
$523$	9.57010	+	13.1721i	0.418471	+	0.575976i	0.965259	−	0.261295i	$-0.0841496\pi$
$523$	9.57010	+	13.1721i	0.418471	+	0.575976i	−0.546788	+	0.837271i	$0.684150\pi$
$524$	6.87905	+	21.1715i	0.300513	+	0.924883i
$525$	1.10059	+	2.16003i	0.0480337	+	0.0942715i
$526$	−1.60907	−	10.1593i	−0.0701587	−	0.442965i
$527$	−2.48585	−	2.48585i	−0.108285	−	0.108285i
$528$	−26.7757	−	31.5525i	−1.16526	−	1.37314i
$529$	17.9573			0.780753
$530$	6.03384	+	4.38384i	0.262093	+	0.190422i
$531$	−3.61883	−	7.10235i	−0.157044	−	0.308216i
$532$	106.096	−	34.4727i	4.59984	−	1.49458i
$533$	−13.4577	−	13.5832i	−0.582916	−	0.588353i
$534$	2.42305	+	3.33504i	0.104856	+	0.144321i
$535$	7.99926	+	4.07583i	0.345838	+	0.176213i
$536$	118.416	+	38.4756i	5.11478	+	1.66189i
$537$	−6.80557	+	9.36706i	−0.293682	+	0.404218i
$538$	−49.4009	+	49.4009i	−2.12982	+	2.12982i
$539$	−47.2978	−	29.1909i	−2.03726	−	1.25734i
$540$	8.58896	−	8.58896i	0.369610	−	0.369610i
$541$	−2.45626	−	15.5082i	−0.105603	−	0.666749i	−0.982527	−	0.186121i	$-0.940409\pi$
$541$	−2.45626	−	15.5082i	−0.105603	−	0.666749i	0.876924	−	0.480629i	$-0.159591\pi$
$542$	3.47695	−	10.7010i	0.149348	−	0.459645i
$543$	22.2796	−	7.23910i	0.956111	−	0.310659i
$544$	−1.04480	+	6.59660i	−0.0447954	+	0.282827i
$545$	−21.9043	+	15.9144i	−0.938278	+	0.681699i
$546$	−44.7202	−	14.7603i	−1.91385	−	0.631683i
$547$	0.574496	+	0.186665i	0.0245637	+	0.00798122i	0.321273	−	0.946987i	$-0.395889\pi$
$547$	0.574496	+	0.186665i	0.0245637	+	0.00798122i	−0.296709	+	0.954968i	$0.595889\pi$
$548$	−9.51646	−	60.0846i	−0.406523	−	2.56669i
$549$		−	3.15534i		−	0.134666i
$550$	−4.30139	+	1.01825i	−0.183412	+	0.0434185i
$551$	16.4068	+	16.4068i	0.698953	+	0.698953i
$552$	18.9032	−	2.99398i	0.804575	−	0.127432i
$553$	25.1119	+	49.2848i	1.06787	+	2.09580i
$554$	−4.78427	−	2.43771i	−0.203264	−	0.103568i
$555$	2.89720	−	2.10494i	0.122979	−	0.0893496i
$556$	−57.9099	+	42.0740i	−2.45593	+	1.78434i
$557$	10.8481	−	21.2907i	0.459651	−	0.902115i	−0.538576	−	0.842577i	$-0.681037\pi$
$557$	10.8481	−	21.2907i	0.459651	−	0.902115i	0.998226	−	0.0595377i	$-0.0189627\pi$
$558$	7.14340	−	21.9851i	0.302404	−	0.930705i
$559$	−14.0992	+	4.50885i	−0.596332	+	0.190704i
$560$		−	142.594i		−	6.02571i
$561$	−0.874520	−	1.03053i	−0.0369223	−	0.0435091i
$562$	−0.884871			−0.0373260
$563$	−19.8489	−	14.4211i	−0.836533	−	0.607777i	0.0848670	−	0.996392i	$-0.472953\pi$
$563$	−19.8489	−	14.4211i	−0.836533	−	0.607777i	−0.921400	+	0.388615i	$0.872953\pi$
$564$	−3.71962	+	1.89524i	−0.156624	+	0.0798041i
$565$	−17.8386	+	35.0103i	−0.750477	+	1.47289i
$566$	4.78466	−	30.2091i	0.201114	−	1.26978i
$567$	−4.81422	−	0.762498i	−0.202178	−	0.0320219i
$568$	3.22299	−	1.04721i	0.135234	−	0.0439401i
$569$	5.56303	−	17.1212i	0.233214	−	0.717760i	−0.764139	−	0.645052i	$-0.776836\pi$
$569$	5.56303	−	17.1212i	0.233214	−	0.717760i	0.997353	−	0.0727082i	$-0.0231642\pi$
$570$	−27.4148	+	4.34207i	−1.14828	+	0.181869i
$571$	27.4796			1.14998			0.574992	−	0.818159i	$-0.305005\pi$
$571$	27.4796			1.14998			0.574992	+	0.818159i	$0.305005\pi$
$572$	32.7809	−	52.5671i	1.37064	−	2.19794i
$573$	−13.9001			−0.580684
$574$	−68.4138	+	10.8357i	−2.85554	+	0.452273i
$575$	0.345132	−	1.06221i	0.0143930	−	0.0442971i
$576$	−18.0345	+	5.85975i	−0.751436	+	0.244156i
$577$	−6.92996	−	1.09760i	−0.288498	−	0.0456936i	0.0105082	−	0.999945i	$-0.496655\pi$
$577$	−6.92996	−	1.09760i	−0.288498	−	0.0456936i	−0.299006	+	0.954251i	$0.596655\pi$
$578$	7.05664	−	44.5538i	0.293517	−	1.85320i
$579$	−5.92108	+	11.6208i	−0.246072	+	0.482943i
$580$	56.8417	−	28.9623i	2.36022	−	1.20259i
$581$	40.2557	+	29.2475i	1.67009	+	1.21339i
$582$	−41.2039			−1.70796
$583$	3.82537	+	0.931233i	0.158431	+	0.0385677i
$584$			60.1702i			2.48986i
$585$	7.51444	+	3.87284i	0.310684	+	0.160122i
$586$	21.9443	−	67.5376i	0.906510	−	2.78995i
$587$	−10.8741	+	21.3417i	−0.448824	+	0.880866i	0.550127	+	0.835081i	$0.314579\pi$
$587$	−10.8741	+	21.3417i	−0.448824	+	0.880866i	−0.998951	+	0.0457856i	$0.985421\pi$
$588$	−70.2363	+	51.0296i	−2.89650	+	2.10443i
$589$	−30.8325	+	22.4011i	−1.27043	+	0.923022i
$590$	44.6231	+	22.7366i	1.83710	+	0.936050i
$591$	7.11425	+	13.9625i	0.292641	+	0.574341i
$592$	−18.8227	+	2.98122i	−0.773608	+	0.122527i
$593$	−10.4543	−	10.4543i	−0.429307	−	0.429307i	0.459085	−	0.888392i	$-0.348177\pi$
$593$	−10.4543	−	10.4543i	−0.429307	−	0.429307i	−0.888392	+	0.459085i	$0.848177\pi$
$594$	3.42710	−	8.20008i	0.140615	−	0.336454i
$595$		−	4.65726i		−	0.190929i
$596$	9.72080	+	61.3747i	0.398180	+	2.51401i
$597$	−2.25994	−	0.734300i	−0.0924933	−	0.0300529i
$598$	9.75999	+	19.3769i	0.399115	+	0.792380i
$599$	−38.6186	+	28.0581i	−1.57791	+	1.14642i	−0.658878	+	0.752250i	$0.728968\pi$
$599$	−38.6186	+	28.0581i	−1.57791	+	1.14642i	−0.919037	+	0.394172i	$0.871032\pi$
$600$	−0.663119	+	4.18677i	−0.0270717	+	0.170924i
$601$	8.18243	−	2.65863i	0.333768	−	0.108448i	−0.137338	−	0.990524i	$-0.543855\pi$
$601$	8.18243	−	2.65863i	0.333768	−	0.108448i	0.471106	+	0.882076i	$0.343855\pi$
$602$	−16.5704	+	50.9986i	−0.675361	+	2.07855i
$603$	2.28533	+	14.4290i	0.0930660	+	0.587596i
$604$	−46.7516	+	46.7516i	−1.90230	+	1.90230i
$605$	−20.9612	+	15.0270i	−0.852193	+	0.610933i
$606$	11.2686	−	11.2686i	0.457754	−	0.457754i
$607$	8.07407	−	11.1130i	0.327717	−	0.451063i	−0.613087	−	0.790015i	$-0.710072\pi$
$607$	8.07407	−	11.1130i	0.327717	−	0.451063i	0.940804	+	0.338952i	$0.110072\pi$
$608$	68.8601	+	22.3740i	2.79264	+	0.907385i
$609$	−22.8096	−	11.6221i	−0.924292	−	0.470950i
$610$	11.6526	+	16.0384i	0.471798	+	0.649374i
$611$	−2.04489	−	2.06397i	−0.0827276	−	0.0834992i
$612$	−2.00785	+	0.652391i	−0.0811626	+	0.0263713i
$613$	−14.7797	−	29.0069i	−0.596948	−	1.17158i	−0.969849	−	0.243706i	$-0.921637\pi$
$613$	−14.7797	−	29.0069i	−0.596948	−	1.17158i	0.372901	−	0.927871i	$-0.378363\pi$
$614$	−15.3042	−	11.1192i	−0.617627	−	0.448733i
$615$	12.4341			0.501392
$616$	−52.3224	−	127.459i	−2.10813	−	5.13548i
$617$	32.2778	+	32.2778i	1.29946	+	1.29946i	0.928750	+	0.370708i	$0.120885\pi$
$617$	32.2778	+	32.2778i	1.29946	+	1.29946i	0.370708	+	0.928750i	$0.379115\pi$
$618$	2.21187	+	13.9652i	0.0889746	+	0.561763i
$619$	3.17374	+	6.22881i	0.127563	+	0.250357i	0.945951	−	0.324309i	$-0.105132\pi$
$619$	3.17374	+	6.22881i	0.127563	+	0.250357i	−0.818388	+	0.574666i	$0.805132\pi$
$620$	32.3803	+	99.6563i	1.30042	+	4.00229i
$621$	1.31992	+	1.81672i	0.0529667	+	0.0729025i
$622$	44.7152	+	7.08219i	1.79292	+	0.283970i
$623$	2.31714	+	7.13142i	0.0928342	+	0.285714i
$624$	−26.2737	−	36.5179i	−1.05179	−	1.46188i
$625$	−22.0372	−	16.0109i	−0.881487	−	0.640438i
$626$	46.1619	−	46.1619i	1.84500	−	1.84500i
$627$	−12.5173	+	7.61611i	−0.499893	+	0.304158i
$628$			100.381i			4.00562i
$629$	−0.614766	+	0.0973694i	−0.0245123	+	0.00388237i
$630$	27.2863	−	13.9030i	1.08711	−	0.553910i
$631$	−2.92914	−	1.49247i	−0.116607	−	0.0594143i	0.394714	−	0.918804i	$-0.370844\pi$
$631$	−2.92914	−	1.49247i	−0.116607	−	0.0594143i	−0.511321	+	0.859390i	$0.670844\pi$
$632$	−15.1302	+	95.5284i	−0.601847	+	3.79991i
$633$	−4.74314	−	6.52837i	−0.188523	−	0.259480i
$634$	−9.88172	−	30.4128i	−0.392453	−	1.20785i
$635$	11.7125	−	5.96781i	0.464796	−	0.236825i
$636$	3.61473	−	4.97525i	0.143333	−	0.197282i
$637$	−48.7173	−	35.7419i	−1.93025	−	1.41614i
$638$	30.4270	−	35.3975i	1.20462	−	1.40140i
$639$	0.281159	+	0.281159i	0.0111225	+	0.0111225i
$640$	24.8551	−	34.2101i	0.982483	−	1.35227i
$641$	26.7102	+	8.67869i	1.05499	+	0.342787i	0.784625	−	0.619970i	$-0.212855\pi$
$641$	26.7102	+	8.67869i	1.05499	+	0.342787i	0.270366	+	0.962758i	$0.412855\pi$
$642$	4.65820	−	9.14223i	0.183845	−	0.360815i
$643$	19.0334	+	3.01459i	0.750603	+	0.118884i	0.520003	−	0.854165i	$-0.325931\pi$
$643$	19.0334	+	3.01459i	0.750603	+	0.118884i	0.230601	+	0.973048i	$0.425931\pi$
$644$	56.0060	+	8.87048i	2.20695	+	0.349546i
$645$	4.37009	−	8.57678i	0.172072	−	0.337710i
$646$	4.58819	+	1.49079i	0.180520	+	0.0586544i
$647$	0.906933	−	1.24829i	0.0356552	−	0.0490752i	−0.790817	−	0.612052i	$-0.790344\pi$
$647$	0.906933	−	1.24829i	0.0356552	−	0.0490752i	0.826472	+	0.562977i	$0.190344\pi$
$648$	−6.02658	−	6.02658i	−0.236746	−	0.236746i
$649$	26.3491	+	2.15783i	1.03429	+	0.0847023i
$650$	−4.74962	+	0.729682i	−0.186295	+	0.0286205i
$651$	24.7154	−	34.0178i	0.968673	−	1.33326i
$652$	13.5619	−	6.91012i	0.531124	−	0.270621i
$653$	4.07189	+	12.5320i	0.159346	+	0.490415i	0.998575	−	0.0533619i	$-0.0169937\pi$
$653$	4.07189	+	12.5320i	0.159346	+	0.490415i	−0.839230	+	0.543777i	$0.816994\pi$
$654$	18.1883	+	25.0341i	0.711221	+	0.978911i
$655$	1.57608	−	9.95096i	0.0615824	−	0.388816i
$656$	−58.9573	−	30.0403i	−2.30190	−	1.17287i
$657$	−6.29038	+	3.20511i	−0.245411	+	0.125043i
$658$	−10.3955	+	1.64649i	−0.405259	+	0.0641867i
$659$			22.1402i			0.862458i	0.902243	+	0.431229i	$0.141920\pi$
$659$			22.1402i			0.862458i	−0.902243	+	0.431229i	$0.858080\pi$
$660$	9.28024	+	39.2023i	0.361233	+	1.52595i
$661$	−3.31088	+	3.31088i	−0.128778	+	0.128778i	−0.768558	−	0.639780i	$-0.779026\pi$
$661$	−3.31088	+	3.31088i	−0.128778	+	0.128778i	0.639780	+	0.768558i	$0.279026\pi$
$662$	24.2953	+	17.6516i	0.944265	+	0.686048i
$663$	−0.858122	−	1.19271i	−0.0333267	−	0.0463209i
$664$	26.8863	+	82.7477i	1.04339	+	3.21123i
$665$	−49.8668	−	7.89812i	−1.93375	−	0.306276i
$666$	−2.40570	−	3.31116i	−0.0932190	−	0.128305i
$667$	3.64455	+	11.2168i	0.141117	+	0.434315i
$668$	1.27277	+	2.49796i	0.0492450	+	0.0966488i
$669$	2.35118	+	14.8448i	0.0909018	+	0.573931i
$670$	−64.9022	−	64.9022i	−2.50739	−	2.50739i
$671$	8.90555	+	5.49625i	0.343795	+	0.212181i
$672$	−79.8839			−3.08159
$673$	32.9278	+	23.9234i	1.26927	+	0.922181i	0.999173	−	0.0406514i	$-0.0129433\pi$
$673$	32.9278	+	23.9234i	1.26927	+	0.922181i	0.270100	+	0.962832i	$0.412943\pi$
$674$	34.4839	+	67.6785i	1.32827	+	2.60688i
$675$	−0.473020	+	0.153693i	−0.0182065	+	0.00591566i
$676$	40.0900	−	54.1155i	1.54192	−	2.08136i
$677$	13.7690	+	18.9515i	0.529187	+	0.728363i	0.987006	−	0.160682i	$-0.0513693\pi$
$677$	13.7690	+	18.9515i	0.529187	+	0.728363i	−0.457819	+	0.889045i	$0.651369\pi$
$678$	40.0127	+	20.3875i	1.53668	+	0.782977i
$679$	−71.2805	−	23.1604i	−2.73550	−	0.888816i
$680$	4.78662	−	6.58822i	0.183558	−	0.252647i
$681$	−12.7320	+	12.7320i	−0.487892	+	0.487892i
$682$	49.6073	+	58.4571i	1.89956	+	2.23844i
$683$	−2.27622	+	2.27622i	−0.0870972	+	0.0870972i	−0.749313	−	0.662216i	$-0.769616\pi$
$683$	−2.27622	+	2.27622i	−0.0870972	+	0.0870972i	0.662216	+	0.749313i	$0.269616\pi$
$684$	3.58029	+	22.6051i	0.136896	+	0.864327i
$685$	−8.50794	+	26.1847i	−0.325072	+	1.00047i
$686$	−121.216	+	39.3854i	−4.62804	+	1.50374i
$687$	3.20178	−	20.2152i	0.122155	−	0.771259i
$688$	−41.4422	+	30.1095i	−1.57997	+	1.14791i
$689$	4.06440	+	1.34149i	0.154841	+	0.0511069i
$690$	−13.4182	−	4.35983i	−0.510821	−	0.165976i
$691$	−0.192092	−	1.21282i	−0.00730751	−	0.0461378i	0.983765	−	0.179461i	$-0.0574353\pi$
$691$	−0.192092	−	1.21282i	−0.00730751	−	0.0461378i	−0.991073	+	0.133323i	$0.957435\pi$
$692$		−	15.8774i		−	0.603570i
$693$	10.5379	−	12.2594i	0.400302	−	0.465695i
$694$	38.4862	+	38.4862i	1.46092	+	1.46092i
$695$	31.9974	−	5.06788i	1.21373	−	0.192236i
$696$	−20.3219	−	39.8839i	−0.770298	−	1.51180i
$697$	−1.92560	−	0.981142i	−0.0729373	−	0.0371634i
$698$	33.4444	−	24.2988i	1.26589	−	0.919721i
$699$	−3.15459	+	2.29195i	−0.119318	+	0.0866893i
$700$	−5.70170	+	11.1902i	−0.215504	+	0.422950i
$701$	0.893409	−	2.74963i	0.0337436	−	0.103852i	−0.932766	−	0.360482i	$-0.882612\pi$
$701$	0.893409	−	2.74963i	0.0337436	−	0.103852i	0.966510	+	0.256630i	$0.0826122\pi$
$702$	4.42621	−	8.58814i	0.167057	−	0.324139i
$703$			6.74763i			0.254492i
$704$	14.8757	−	61.1071i	0.560647	−	2.30306i
$705$	1.88937			0.0711577
$706$	−11.0656	−	8.03959i	−0.416458	−	0.302574i
$707$	25.8280	−	13.1600i	0.971362	−	0.494934i
$708$	18.7476	−	36.7943i	0.704579	−	1.38281i
$709$	3.05608	−	19.2953i	0.114773	−	0.724651i	−0.861443	−	0.507854i	$-0.830439\pi$
$709$	3.05608	−	19.2953i	0.114773	−	0.724651i	0.976217	−	0.216797i	$-0.0695610\pi$
$710$	−2.46742	−	0.390801i	−0.0926007	−	0.0146665i
$711$	−10.7928	+	3.50678i	−0.404760	+	0.131515i
$712$	−4.05165	+	12.4697i	−0.151842	+	0.467322i
$713$	−19.1335	+	3.03044i	−0.716553	+	0.113491i
$714$	−5.32271			−0.199197
$715$	−24.0200	+	14.4625i	−0.898296	+	0.540867i
$716$	−59.9824			−2.24165
$717$	17.0570	−	2.70157i	0.637007	−	0.100892i
$718$	13.1102	−	40.3490i	0.489268	−	1.50581i
$719$	−23.5065	+	7.63774i	−0.876646	+	0.284840i	−0.712564	−	0.701607i	$-0.752466\pi$
$719$	−23.5065	+	7.63774i	−0.876646	+	0.284840i	−0.164082	+	0.986447i	$0.552466\pi$
$720$	28.8945	+	4.57645i	1.07684	+	0.170554i
$721$	−4.02334	+	25.4024i	−0.149837	+	0.946033i
$722$	0.629099	−	1.23468i	0.0234126	−	0.0459499i
$723$	−6.47017	+	3.29671i	−0.240628	+	0.122606i
$724$	98.1834	+	71.3344i	3.64896	+	2.65112i
$725$	−2.61218			−0.0970140
$726$	17.1741	+	23.9562i	0.637390	+	0.889099i
$727$			2.63016i			0.0975471i	0.998810	+	0.0487735i	$0.0155313\pi$
$727$			2.63016i			0.0975471i	−0.998810	+	0.0487735i	$0.984469\pi$
$728$	−45.6239	−	142.666i	−1.69093	−	5.28755i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	20.1372	−	39.5215i	0.745312	−	1.46276i
$731$	−1.35354	+	0.983403i	−0.0500624	+	0.0363725i
$732$	13.2246	−	9.60821i	0.488794	−	0.355130i
$733$	−8.67516	−	4.42022i	−0.320425	−	0.163264i	0.286379	−	0.958116i	$-0.407548\pi$
$733$	−8.67516	−	4.42022i	−0.320425	−	0.163264i	−0.606803	+	0.794852i	$0.707548\pi$
$734$	17.8322	+	34.9977i	0.658199	+	1.29179i
$735$	38.8081	−	6.14660i	1.43146	−	0.226721i
$736$	26.0237	+	26.0237i	0.959245	+	0.959245i
$737$	−44.7050	−	18.6837i	−1.64673	−	0.688225i
$738$		−	14.2108i		−	0.523106i
$739$	−4.37889	−	27.6472i	−0.161080	−	1.01702i	−0.927267	−	0.374401i	$-0.877848\pi$
$739$	−4.37889	−	27.6472i	−0.161080	−	1.01702i	0.766187	−	0.642618i	$-0.222152\pi$
$740$	17.6443	+	5.73299i	0.648618	+	0.210749i
$741$	−14.2260	+	7.16551i	−0.522604	+	0.263232i
$742$	12.5436	−	9.11346i	0.460490	−	0.334566i
$743$	3.94984	−	24.9383i	0.144905	−	0.914897i	−0.802915	−	0.596093i	$-0.796719\pi$
$743$	3.94984	−	24.9383i	0.144905	−	0.914897i	0.947821	−	0.318804i	$-0.103281\pi$
$744$	69.9255	−	22.7202i	2.56359	−	0.832962i
$745$	8.69062	−	26.7470i	0.318400	−	0.979934i
$746$	−4.30883	−	27.2049i	−0.157758	−	0.996042i
$747$	−7.21852	+	7.21852i	−0.264112	+	0.264112i
$748$	1.65617	−	6.80331i	0.0605556	−	0.248754i
$749$	13.1972	−	13.1972i	0.482216	−	0.482216i
$750$	−16.6281	+	22.8866i	−0.607172	+	0.835701i
$751$	−27.3008	−	8.87056i	−0.996220	−	0.323691i	−0.234866	−	0.972028i	$-0.575465\pi$
$751$	−27.3008	−	8.87056i	−0.996220	−	0.323691i	−0.761354	+	0.648336i	$0.775465\pi$
$752$	−8.95858	−	4.56462i	−0.326686	−	0.166455i
$753$	5.31361	+	7.31356i	0.193639	+	0.266521i
$754$	36.0474	−	35.7143i	1.31277	−	1.30064i
$755$	28.4588	−	9.24683i	1.03572	−	0.336526i
$756$	−11.4639	−	22.4991i	−0.416937	−	0.818285i
$757$	−14.6328	−	10.6314i	−0.531838	−	0.386403i	0.289207	−	0.957267i	$-0.406609\pi$
$757$	−14.6328	−	10.6314i	−0.531838	−	0.386403i	−0.821045	+	0.570864i	$0.806609\pi$
$758$	−25.5804			−0.929124
$759$	−7.42663	+	0.560793i	−0.269570	+	0.0203555i
$760$	−62.4246	−	62.4246i	−2.26438	−	2.26438i
$761$	−0.0253896	−	0.160303i	−0.000920371	−	0.00581099i	0.987224	−	0.159339i	$-0.0509364\pi$
$761$	−0.0253896	−	0.160303i	−0.000920371	−	0.00581099i	−0.988144	+	0.153528i	$0.950936\pi$
$762$	−6.82052	−	13.3860i	−0.247081	−	0.484924i
$763$	17.3934	+	53.5312i	0.629682	+	1.93796i
$764$	−42.3267	−	58.2577i	−1.53133	−	2.10769i
$765$	0.943722	+	0.149471i	0.0341203	+	0.00540413i
$766$	22.7303	+	69.9566i	0.821278	+	2.52763i
$767$	28.3654	+	4.62771i	1.02422	+	0.167097i
$768$	−8.41613	−	6.11468i	−0.303691	−	0.220644i
$769$	−20.4048	+	20.4048i	−0.735816	+	0.735816i	−0.971765	−	0.235949i	$-0.924180\pi$
$769$	−20.4048	+	20.4048i	−0.735816	+	0.735816i	0.235949	+	0.971765i	$0.424180\pi$
$770$	−8.29009	+	101.230i	−0.298754	+	3.64807i
$771$		−	24.2235i		−	0.872387i
$772$	−66.7348	+	10.5698i	−2.40184	+	0.380414i
$773$	21.7139	−	11.0638i	0.780996	−	0.397937i	−0.0175693	−	0.999846i	$-0.505593\pi$
$773$	21.7139	−	11.0638i	0.780996	−	0.397937i	0.798565	+	0.601908i	$0.205593\pi$
$774$	−9.80227	−	4.99451i	−0.352335	−	0.179524i
$775$	0.671195	−	4.23776i	0.0241100	−	0.152225i
$776$	−77.0306	−	106.023i	−2.76524	−	3.80602i
$777$	−2.30055	−	7.08036i	−0.0825318	−	0.254007i
$778$	−33.6349	+	17.1379i	−1.20587	+	0.614422i
$779$	−13.7710	+	18.9541i	−0.493396	+	0.679102i
$780$	6.65023	+	43.2874i	0.238116	+	1.54994i
$781$	−1.28328	+	0.303788i	−0.0459195	+	0.0108704i
$782$	1.73397	+	1.73397i	0.0620067	+	0.0620067i
$783$	3.08709	−	4.24902i	0.110324	−	0.151847i
$784$	−198.861	−	64.6140i	−7.10219	−	2.30764i
$785$	20.6251	−	40.4790i	0.736140	−	1.44476i
$786$	−11.3728	−	1.80127i	−0.405654	−	0.0642493i
$787$	39.8486	+	6.31140i	1.42045	+	0.224977i	0.818936	−	0.573885i	$-0.194564\pi$
$787$	39.8486	+	6.31140i	1.42045	+	0.224977i	0.601514	+	0.798862i	$0.294564\pi$
$788$	−36.8559	+	72.3338i	−1.31294	+	2.57679i
$789$	3.65064	+	1.18616i	0.129966	+	0.0422286i
$790$	41.9085	−	57.6821i	1.49104	−	2.05224i
$791$	57.7602	+	57.7602i	2.05372	+	2.05372i
$792$	27.5069	−	6.51163i	0.977416	−	0.231381i
$793$	9.17282	+	6.72972i	0.325737	+	0.238979i
$794$	22.5612	−	31.0528i	0.800666	−	1.10202i
$795$	−2.47992	+	1.26358i	−0.0879536	+	0.0448146i
$796$	−3.80410	−	11.7078i	−0.134833	−	0.414972i
$797$	2.84014	+	3.90912i	0.100603	+	0.138468i	0.856351	−	0.516395i	$-0.172726\pi$
$797$	2.84014	+	3.90912i	0.100603	+	0.138468i	−0.755748	+	0.654863i	$0.772726\pi$
$798$	−9.02664	+	56.9920i	−0.319540	+	2.01749i
$799$	−0.292595	−	0.149085i	−0.0103513	−	0.00527424i
$800$	−7.26285	+	3.70061i	−0.256781	+	0.130836i
$801$	−1.51944	+	0.240656i	−0.0536868	+	0.00850315i
$802$		−	87.3813i		−	3.08554i
$803$	1.91114	−	23.3368i	0.0674426	−	0.823536i
$804$	−53.5156	+	53.5156i	−1.88735	+	1.88735i
$805$	−20.7621	−	15.0845i	−0.731768	−	0.531660i
$806$	48.6771	+	67.6565i	1.71458	+	2.38310i
$807$	−8.05661	−	24.7957i	−0.283606	−	0.872850i
$808$	50.0622	+	7.92907i	1.76118	+	0.278944i
$809$	8.29852	+	11.4219i	0.291760	+	0.401574i	0.929585	−	0.368608i	$-0.120166\pi$
$809$	8.29852	+	11.4219i	0.291760	+	0.401574i	−0.637825	+	0.770182i	$0.720166\pi$
$810$	1.94151	+	5.97535i	0.0682177	+	0.209952i
$811$	−3.09986	−	6.08382i	−0.108851	−	0.213632i	0.830155	−	0.557532i	$-0.188252\pi$
$811$	−3.09986	−	6.08382i	−0.108851	−	0.213632i	−0.939006	+	0.343901i	$0.888252\pi$
$812$	−20.7466	−	130.989i	−0.728064	−	4.59682i
$813$	2.96908	+	2.96908i	0.104130	+	0.104130i
$814$	13.5358	−	1.02211i	0.474430	−	0.0358248i
$815$	−6.88870			−0.241301
$816$	−4.11361	−	2.98871i	−0.144005	−	0.104626i
$817$	8.23419	+	16.1605i	0.288078	+	0.565384i
$818$	−0.0749200	+	0.0243430i	−0.00261952	+	0.000851133i
$819$	12.4844	−	12.3691i	0.436242	−	0.432211i
$820$	37.8628	+	52.1136i	1.32223	+	1.81989i
$821$	−31.1420	−	15.8676i	−1.08686	−	0.553784i	−0.183657	−	0.982990i	$-0.558793\pi$
$821$	−31.1420	−	15.8676i	−1.08686	−	0.553784i	−0.903207	+	0.429206i	$0.858793\pi$
$822$	29.9261	+	9.72359i	1.04379	+	0.339149i
$823$	−17.7940	+	24.4913i	−0.620259	+	0.853714i	−0.997372	−	0.0724536i	$-0.976917\pi$
$823$	−17.7940	+	24.4913i	−0.620259	+	0.853714i	0.377112	+	0.926168i	$0.376917\pi$
$824$	−31.7994	+	31.7994i	−1.10778	+	1.10778i
$825$	0.390169	−	1.60276i	0.0135839	−	0.0558008i
$826$	73.6194	−	73.6194i	2.56155	−	2.56155i
$827$	−4.60179	−	29.0545i	−0.160020	−	1.01033i	−0.928738	−	0.370737i	$-0.879105\pi$
$827$	−4.60179	−	29.0545i	−0.160020	−	1.01033i	0.768718	−	0.639588i	$-0.220895\pi$
$828$	−3.59493	+	11.0641i	−0.124933	+	0.384503i
$829$	−4.08486	+	1.32725i	−0.141873	+	0.0460974i	−0.379093	−	0.925359i	$-0.623764\pi$
$829$	−4.08486	+	1.32725i	−0.141873	+	0.0460974i	0.237220	+	0.971456i	$0.423764\pi$
$830$	10.0335	−	63.3491i	0.348268	−	2.19888i
$831$	1.62111	−	1.17781i	0.0562358	−	0.0408577i
$832$	21.4292	−	64.9254i	0.742925	−	2.25088i
$833$	−6.49500	−	2.11035i	−0.225038	−	0.0731194i
$834$	−5.79201	−	36.5693i	−0.200561	−	1.26629i
$835$		−	1.26883i		−	0.0439096i
$836$	−70.0366	−	29.2707i	−2.42226	−	1.01235i
$837$	6.09998	+	6.09998i	0.210846	+	0.210846i
$838$	60.2441	−	9.54173i	2.08110	−	0.329614i
$839$	−20.6290	−	40.4866i	−0.712191	−	1.39775i	−0.908783	−	0.417269i	$-0.862987\pi$
$839$	−20.6290	−	40.4866i	−0.712191	−	1.39775i	0.196592	−	0.980485i	$-0.437013\pi$
$840$	86.7861	+	44.2197i	2.99440	+	1.52573i
$841$	−1.14536	+	0.832151i	−0.0394951	+	0.0286949i
$842$	−64.0819	+	46.5582i	−2.20841	+	1.60450i
$843$	0.149916	−	0.294226i	0.00516337	−	0.0101337i
$844$	12.9184	−	39.7587i	0.444669	−	1.36855i
$845$	−27.2855	+	13.5851i	−0.938650	+	0.467341i
$846$		−	2.15933i		−	0.0742393i
$847$	16.2446	+	51.0964i	0.558172	+	1.75569i
$848$	14.8115			0.508627
$849$	9.23413	+	6.70899i	0.316915	+	0.230252i
$850$	−0.483928	+	0.246574i	−0.0165986	+	0.00845740i
$851$	−1.55711	+	3.05601i	−0.0533772	+	0.104759i
$852$	−0.322238	+	2.03453i	−0.0110397	+	0.0697019i
$853$	24.4688	+	3.87547i	0.837794	+	0.132694i	0.560565	−	0.828110i	$-0.310584\pi$
$853$	24.4688	+	3.87547i	0.837794	+	0.132694i	0.277229	+	0.960804i	$0.410584\pi$
$854$	39.1956	−	12.7354i	1.34125	−	0.435798i
$855$	3.20087	−	9.85125i	0.109467	−	0.336906i
$856$	32.2328	−	5.10517i	1.10169	−	0.174491i
$857$	57.6150			1.96809			0.984046	−	0.177915i	$-0.0569351\pi$
$857$	57.6150			1.96809			0.984046	+	0.177915i	$0.0569351\pi$
$858$	16.5290	+	27.4521i	0.564291	+	0.937198i
$859$	14.7614			0.503653			0.251826	−	0.967772i	$-0.418969\pi$
$859$	14.7614			0.503653			0.251826	+	0.967772i	$0.418969\pi$
$860$	49.2540	−	7.80107i	1.67955	−	0.266014i
$861$	7.98779	−	24.5839i	0.272223	−	0.837817i
$862$	−20.8726	+	6.78192i	−0.710924	+	0.230993i
$863$	−4.56064	−	0.722335i	−0.155246	−	0.0245886i	0.0783275	−	0.996928i	$-0.475042\pi$
$863$	−4.56064	−	0.722335i	−0.155246	−	0.0245886i	−0.233574	+	0.972339i	$0.575042\pi$
$864$	2.56381	−	16.1873i	0.0872226	−	0.550702i
$865$	−3.26232	+	6.40266i	−0.110922	+	0.217697i
$866$	36.5830	−	18.6400i	1.24314	−	0.633412i
$867$	13.6189	+	9.89474i	0.462523	+	0.336043i
$868$	217.835			7.39380
$869$	8.90237	−	36.5697i	0.301992	−	1.24054i
$870$			32.9980i			1.11874i
$871$	−46.8206	−	24.1307i	−1.58646	−	0.817637i
$872$	−30.4133	+	93.6024i	−1.02992	+	3.16978i
$873$	6.98080	−	13.7006i	0.236264	−	0.463695i
$874$	21.5068	−	15.6256i	0.727478	−	0.528544i
$875$	−41.6301	+	30.2461i	−1.40736	+	1.02250i
$876$	−32.5878	−	16.6043i	−1.10104	−	0.561008i
$877$	−12.7292	−	24.9825i	−0.429835	−	0.843599i	−0.999760	−	0.0219020i	$-0.993028\pi$
$877$	−12.7292	−	24.9825i	−0.429835	−	0.843599i	0.569925	−	0.821697i	$-0.306972\pi$
$878$	−88.7882	+	14.0627i	−2.99646	+	0.474592i
$879$	18.7389	+	18.7389i	0.632048	+	0.632048i
$880$	−63.2476	+	73.5796i	−2.13208	+	2.48037i
$881$			17.2628i			0.581597i	0.956784	+	0.290799i	$0.0939209\pi$
$881$			17.2628i			0.581597i	−0.956784	+	0.290799i	$0.906079\pi$
$882$	−7.02486	−	44.3532i	−0.236539	−	1.49345i
$883$	−37.5174	−	12.1901i	−1.26256	−	0.410231i	−0.400155	−	0.916448i	$-0.631044\pi$
$883$	−37.5174	−	12.1901i	−1.26256	−	0.410231i	−0.862406	+	0.506217i	$0.831044\pi$
$884$	2.38581	−	7.22842i	0.0802434	−	0.243118i
$885$	−15.1202	+	10.9854i	−0.508259	+	0.369271i
$886$	−3.95067	+	24.9436i	−0.132725	+	0.837995i
$887$	−8.47853	+	2.75484i	−0.284681	+	0.0924985i	−0.447877	−	0.894095i	$-0.647820\pi$
$887$	−8.47853	+	2.75484i	−0.284681	+	0.0924985i	0.163196	+	0.986594i	$0.447820\pi$
$888$	4.02264	−	12.3804i	0.134991	−	0.415460i
$889$	−4.27493	−	26.9909i	−0.143377	−	0.905245i
$890$	6.83448	−	6.83448i	0.229092	−	0.229092i
$891$	2.14597	+	2.52880i	0.0718926	+	0.0847180i
$892$	−55.0575	+	55.0575i	−1.84346	+	1.84346i
$893$	−2.09250	+	2.88008i	−0.0700229	+	0.0963783i
$894$	−30.5687	−	9.93238i	−1.02237	−	0.332189i
$895$	24.1882	+	12.3245i	0.808523	+	0.411963i
$896$	−51.6706	−	71.1185i	−1.72620	−	2.37590i
$897$	−8.09650	−	0.0375828i	−0.270334	−	0.00125485i
$898$	−78.1834	+	25.4033i	−2.60901	+	0.847720i
$899$	20.5693	+	40.3696i	0.686026	+	1.34640i
$900$	−2.08453	−	1.51450i	−0.0694845	−	0.0504834i
$901$	0.483756			0.0161162
$902$	40.1082	+	24.7536i	1.33546	+	0.824206i
$903$	−14.1500	−	14.1500i	−0.470883	−	0.470883i
$904$	22.3437	+	141.073i	0.743142	+	4.69201i
$905$	−24.9360	−	48.9396i	−0.828899	−	1.62681i
$906$	−10.5681	−	32.5251i	−0.351100	−	1.08058i
$907$	3.35375	+	4.61604i	0.111359	+	0.153273i	0.861059	−	0.508506i	$-0.169802\pi$
$907$	3.35375	+	4.61604i	0.111359	+	0.153273i	−0.749699	+	0.661779i	$0.769802\pi$
$908$	−92.1321	−	14.5923i	−3.05751	−	0.484262i
$909$	1.83775	+	5.65601i	0.0609543	+	0.187598i
$910$	−17.7790	+	108.976i	−0.589369	+	3.61252i
$911$	39.9882	+	29.0531i	1.32487	+	0.962573i	0.999858	+	0.0168618i	$0.00536753\pi$
$911$	39.9882	+	29.0531i	1.32487	+	0.962573i	0.325010	+	0.945711i	$0.394632\pi$
$912$	−38.9773	+	38.9773i	−1.29067	+	1.29067i
$913$	−7.79950	−	32.9473i	−0.258126	−	1.09040i
$914$			46.2467i			1.52970i
$915$	−7.30706	+	1.15732i	−0.241564	+	0.0382600i
$916$	94.4752	−	48.1375i	3.12155	−	1.59051i
$917$	−18.6619	−	9.50869i	−0.616269	−	0.314005i
$918$	0.170828	−	1.07857i	0.00563817	−	0.0355980i
$919$	9.21654	+	12.6855i	0.304025	+	0.418455i	0.933506	−	0.358561i	$-0.116732\pi$
$919$	9.21654	+	12.6855i	0.304025	+	0.418455i	−0.629481	+	0.777016i	$0.716732\pi$
$920$	−13.8668	−	42.6776i	−0.457174	−	1.40704i
$921$	6.29005	−	3.20494i	0.207264	−	0.105606i
$922$	−17.6685	+	24.3187i	−0.581882	+	0.800892i
$923$	−1.41701	+	0.217695i	−0.0466414	+	0.00716550i
$924$	83.4698	+	6.83567i	2.74595	+	0.224877i
$925$	−0.537157	−	0.537157i	−0.0176616	−	0.0176616i
$926$	−35.1799	+	48.4210i	−1.15608	+	1.59121i
$927$	−5.01827	−	1.63054i	−0.164822	−	0.0535538i
$928$	39.0779	−	76.6946i	1.28279	−	2.51762i
$929$	−4.52942	−	0.717389i	−0.148605	−	0.0235368i	0.0816885	−	0.996658i	$-0.473969\pi$
$929$	−4.52942	−	0.717389i	−0.148605	−	0.0235368i	−0.230294	+	0.973121i	$0.573969\pi$
$930$	−53.5328	−	8.47876i	−1.75541	−	0.278030i
$931$	−33.6109	+	65.9651i	−1.10155	+	2.16192i
$932$	−19.2119	−	6.24232i	−0.629307	−	0.204474i
$933$	−9.93057	+	13.6683i	−0.325112	+	0.447479i
$934$	31.8629	+	31.8629i	1.04259	+	1.04259i
$935$	−2.06573	+	2.40318i	−0.0675564	+	0.0785923i
$936$	30.3733	−	4.66624i	0.992783	−	0.152521i
$937$	35.6525	−	49.0715i	1.16472	−	1.60310i	0.472683	−	0.881233i	$-0.343286\pi$
$937$	35.6525	−	49.0715i	1.16472	−	1.60310i	0.692035	−	0.721864i	$-0.256714\pi$
$938$	−170.014	+	86.6264i	−5.55115	+	2.82845i
$939$	7.52838	+	23.1700i	0.245679	+	0.756123i
$940$	5.75326	+	7.91868i	0.187651	+	0.258279i
$941$	4.06988	−	25.6962i	0.132674	−	0.837673i	−0.828148	−	0.560509i	$-0.810606\pi$
$941$	4.06988	−	25.6962i	0.132674	−	0.837673i	0.960823	−	0.277164i	$-0.0893944\pi$
$942$	−46.2628	−	23.5721i	−1.50732	−	0.768020i
$943$	−10.6108	+	5.40649i	−0.345536	+	0.176059i
$944$	98.2336	−	15.5587i	3.19723	−	0.506392i
$945$			11.4283i			0.371764i
$946$	31.1709	−	18.9658i	1.01345	−	0.616632i
$947$	20.9830	−	20.9830i	0.681857	−	0.681857i	−0.278562	−	0.960418i	$-0.589858\pi$
$947$	20.9830	−	20.9830i	0.681857	−	0.681857i	0.960418	+	0.278562i	$0.0898577\pi$
$948$	−47.5622	−	34.5560i	−1.54475	−	1.12233i
$949$	4.09864	−	25.1225i	0.133048	−	0.815511i
$950$	1.81946	+	5.59973i	0.0590311	+	0.181679i
$951$	11.7867	+	1.86682i	0.382208	+	0.0605359i
$952$	−9.95080	−	13.6961i	−0.322507	−	0.443893i
$953$	−0.288347	−	0.887442i	−0.00934049	−	0.0287471i	0.946278	−	0.323355i	$-0.104811\pi$
$953$	−0.288347	−	0.887442i	−0.00934049	−	0.0287471i	−0.955618	+	0.294608i	$0.904811\pi$
$954$	1.44413	+	2.83426i	0.0467553	+	0.0917625i
$955$	5.09832	+	32.1895i	0.164978	+	1.04163i
$956$	63.2626	+	63.2626i	2.04606	+	2.04606i
$957$	6.61494	+	16.1143i	0.213831	+	0.520900i
$958$	−45.0933			−1.45690
$959$	46.3051	+	33.6426i	1.49527	+	1.08638i
$960$	20.1846	+	39.6145i	0.651456	+	1.27855i
$961$	−41.2943	+	13.4173i	−1.33207	+	0.432817i
$962$	14.7567	+	0.0684985i	0.475776	+	0.00220848i
$963$	2.25066	+	3.09777i	0.0725266	+	0.0998243i
$964$	−33.5192	−	17.0789i	−1.07958	−	0.550074i
$965$	29.0829	+	9.44961i	0.936212	+	0.304194i
$966$	−17.2399	+	23.7287i	−0.554685	+	0.763458i
$967$	−12.1473	+	12.1473i	−0.390629	+	0.390629i	−0.874912	−	0.484282i	$-0.839081\pi$
$967$	−12.1473	+	12.1473i	−0.390629	+	0.390629i	0.484282	+	0.874912i	$0.339081\pi$
$968$	−29.5358	+	88.9775i	−0.949318	+	2.85985i
$969$	−1.27303	+	1.27303i	−0.0408957	+	0.0408957i
$970$	15.1129	+	95.4191i	0.485246	+	3.06372i
$971$	8.86774	−	27.2921i	0.284579	−	0.875845i	−0.701945	−	0.712231i	$-0.747685\pi$
$971$	8.86774	−	27.2921i	0.284579	−	0.875845i	0.986524	−	0.163614i	$-0.0523152\pi$
$972$	4.92702	−	1.60089i	0.158034	−	0.0513485i
$973$	10.5355	−	66.5186i	0.337753	−	2.13249i
$974$	−4.83345	+	3.51171i	−0.154874	+	0.112522i
$975$	0.562060	−	1.70291i	0.0180003	−	0.0545366i
$976$	37.4430	+	12.1660i	1.19852	+	0.389423i
$977$	4.28211	+	27.0362i	0.136997	+	0.864965i	0.956467	+	0.291842i	$0.0942681\pi$
$977$	4.28211	+	27.0362i	0.136997	+	0.864965i	−0.819470	+	0.573123i	$0.805732\pi$
$978$			7.87300i			0.251751i
$979$	1.96748	−	4.70763i	0.0628809	−	0.150456i
$980$	143.935	+	143.935i	4.59783	+	4.59783i
$981$	−11.4055	+	1.80646i	−0.364150	+	0.0576757i
$982$	29.7955	+	58.4770i	0.950814	+	1.86608i
$983$	3.49813	+	1.78239i	0.111573	+	0.0568493i	0.508886	−	0.860834i	$-0.330057\pi$
$983$	3.49813	+	1.78239i	0.111573	+	0.0568493i	−0.397313	+	0.917683i	$0.630057\pi$
$984$	36.5664	−	26.5670i	1.16569	−	0.846926i
$985$	29.7247	−	21.5962i	0.947107	−	0.688114i
$986$	2.60378	−	5.11021i	0.0829212	−	0.162742i
$987$	1.21375	−	3.73553i	0.0386340	−	0.118903i
$988$	−73.3509	−	37.8041i	−2.33360	−	1.20271i
$989$			9.21926i			0.293156i
$990$	−20.2466	−	4.92874i	−0.643479	−	0.156646i
$991$	−37.4259			−1.18887			−0.594436	−	0.804143i	$-0.702625\pi$
$991$	−37.4259			−1.18887			−0.594436	+	0.804143i	$0.702625\pi$
$992$	114.381	+	83.1027i	3.63160	+	2.63851i
$993$	−9.98542	+	5.08782i	−0.316878	+	0.161457i
$994$	−2.35776	+	4.62736i	−0.0747835	+	0.146771i
$995$	−0.871567	+	5.50286i	−0.0276305	+	0.174452i
$996$	−52.2350	−	8.27321i	−1.65513	−	0.262147i
$997$	36.0447	−	11.7116i	1.14155	−	0.370911i	0.323593	−	0.946196i	$-0.395109\pi$
$997$	36.0447	−	11.7116i	1.14155	−	0.370911i	0.817953	+	0.575286i	$0.195109\pi$
$998$	6.23077	−	19.1763i	0.197232	−	0.607016i
$999$	1.50856	−	0.238933i	0.0477288	−	0.00755950i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.1	✓	112
11.8	odd	10	inner	429.2.bj.a.151.14	yes	112
13.5	odd	4	inner	429.2.bj.a.304.14	yes	112
143.96	even	20	inner	429.2.bj.a.382.1	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.1	✓	112	1.1	even	1	trivial
429.2.bj.a.151.14	yes	112	11.8	odd	10	inner
429.2.bj.a.304.14	yes	112	13.5	odd	4	inner
429.2.bj.a.382.1	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.64667 + 0.419191i) q^{2} +(0.309017 - 0.951057i) q^{3} +(4.92702 - 1.60089i) q^{4} +(-2.31578 - 0.366783i) q^{5} +(-0.419191 + 2.64667i) q^{6} +(-2.21285 + 4.34297i) q^{7} +(-7.59393 + 3.86930i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-2.64667 + 0.419191i) q^{2} +(0.309017 - 0.951057i) q^{3} +(4.92702 - 1.60089i) q^{4} +(-2.31578 - 0.366783i) q^{5} +(-0.419191 + 2.64667i) q^{6} +(-2.21285 + 4.34297i) q^{7} +(-7.59393 + 3.86930i) q^{8} +(-0.809017 - 0.587785i) q^{9} +6.28285 q^{10} +(3.06817 - 1.25949i) q^{11} -5.18058i q^{12} +(3.43422 - 1.09825i) q^{13} +(4.03616 - 12.4220i) q^{14} +(-1.06445 + 2.08909i) q^{15} +(10.0943 - 7.33394i) q^{16} +(0.329689 - 0.239533i) q^{17} +(2.38759 + 1.21654i) q^{18} +(-2.00565 - 3.93631i) q^{19} +(-11.9971 + 1.90015i) q^{20} +(3.44660 + 3.44660i) q^{21} +(-7.59247 + 4.61961i) q^{22} -2.24559i q^{23} +(1.33327 + 8.41794i) q^{24} +(0.473020 + 0.153693i) q^{25} +(-8.62886 + 4.34629i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-3.95018 + 24.9405i) q^{28} +(-4.99502 + 1.62298i) q^{29} +(1.94151 - 5.97535i) q^{30} +(-1.34951 - 8.52046i) q^{31} +(-11.5888 + 11.5888i) q^{32} +(-0.249731 - 3.30721i) q^{33} +(-0.772168 + 0.772168i) q^{34} +(6.71741 - 9.24572i) q^{35} +(-4.92702 - 1.60089i) q^{36} +(-1.36089 - 0.693410i) q^{37} +(6.95835 + 9.57735i) q^{38} +(0.0167363 - 3.60551i) q^{39} +(19.0051 - 6.17512i) q^{40} +(-2.40760 - 4.72519i) q^{41} +(-10.5668 - 7.67723i) q^{42} -4.10550 q^{43} +(13.1007 - 11.1173i) q^{44} +(1.65791 + 1.65791i) q^{45} +(0.941331 + 5.94333i) q^{46} +(-0.365836 - 0.717993i) q^{47} +(-3.85568 - 11.8666i) q^{48} +(-9.85018 - 13.5576i) q^{49} +(-1.31635 - 0.208490i) q^{50} +(-0.125930 - 0.387573i) q^{51} +(15.1623 - 10.9089i) q^{52} +(0.960366 + 0.697746i) q^{53} +(1.89481 - 1.89481i) q^{54} +(-7.56717 + 1.79135i) q^{55} -41.5424i q^{56} +(-4.36343 + 0.691099i) q^{57} +(12.5398 - 6.38936i) q^{58} +(7.10235 + 3.61883i) q^{59} +(-1.90015 + 11.9971i) q^{60} +(1.85466 + 2.55272i) q^{61} +(7.14340 + 21.9851i) q^{62} +(4.34297 - 2.21285i) q^{63} +(11.1459 - 15.3410i) q^{64} +(-8.35571 + 1.28368i) q^{65} +(2.04731 + 8.64840i) q^{66} +(-10.3300 - 10.3300i) q^{67} +(1.24092 - 1.70798i) q^{68} +(-2.13568 - 0.693925i) q^{69} +(-13.9030 + 27.2863i) q^{70} +(-0.392723 - 0.0622012i) q^{71} +(8.41794 + 1.33327i) q^{72} +(3.20511 - 6.29038i) q^{73} +(3.89251 + 1.26475i) q^{74} +(0.292342 - 0.402375i) q^{75} +(-16.1835 - 16.1835i) q^{76} +(-1.31948 + 16.1121i) q^{77} +(1.46710 + 9.54961i) q^{78} +(6.67030 - 9.18087i) q^{79} +(-26.0661 + 13.2814i) q^{80} +(0.309017 + 0.951057i) q^{81} +(8.35289 + 11.4968i) q^{82} +(1.59697 - 10.0829i) q^{83} +(22.4991 + 11.4639i) q^{84} +(-0.851344 + 0.433781i) q^{85} +(10.8659 - 1.72099i) q^{86} +5.25207i q^{87} +(-18.4261 + 21.4362i) q^{88} +(1.08780 - 1.08780i) q^{89} +(-5.08294 - 3.69297i) q^{90} +(-2.82977 + 17.3450i) q^{91} +(-3.59493 - 11.0641i) q^{92} +(-8.52046 - 1.34951i) q^{93} +(1.26922 + 1.74694i) q^{94} +(3.20087 + 9.85125i) q^{95} +(7.44046 + 14.6027i) q^{96} +(2.40542 + 15.1872i) q^{97} +(31.7534 + 31.7534i) q^{98} +(-3.22251 - 0.784476i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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