LMFDB - Embedded newform 504.2.cq.a.277.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			277.18
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16914 + 0.795682i) q^{2} +(-0.775861 + 1.54856i) q^{3} +(0.733781 - 1.86053i) q^{4} +(0.241073 + 0.139184i) q^{5} +(-0.325070 - 2.42782i) q^{6} +(-2.22477 - 1.43192i) q^{7} +(0.622496 + 2.75908i) q^{8} +(-1.79608 - 2.40294i) q^{9} +O(q^{10})$	\(q+(-1.16914 + 0.795682i) q^{2} +(-0.775861 + 1.54856i) q^{3} +(0.733781 - 1.86053i) q^{4} +(0.241073 + 0.139184i) q^{5} +(-0.325070 - 2.42782i) q^{6} +(-2.22477 - 1.43192i) q^{7} +(0.622496 + 2.75908i) q^{8} +(-1.79608 - 2.40294i) q^{9} +(-0.392595 + 0.0290923i) q^{10} +(-0.840997 + 0.485550i) q^{11} +(2.31183 + 2.57982i) q^{12} +(4.54302 - 2.62292i) q^{13} +(3.74042 - 0.0960895i) q^{14} +(-0.402574 + 0.265329i) q^{15} +(-2.92313 - 2.73044i) q^{16} +(0.607875 - 1.05287i) q^{17} +(4.01184 + 1.38026i) q^{18} +(0.974298 - 0.562511i) q^{19} +(0.435850 - 0.346393i) q^{20} +(3.94353 - 2.33422i) q^{21} +(0.596901 - 1.23684i) q^{22} +(1.70802 - 2.95838i) q^{23} +(-4.75557 - 1.17669i) q^{24} +(-2.46126 - 4.26302i) q^{25} +(-3.22443 + 6.68136i) q^{26} +(5.11460 - 0.916992i) q^{27} +(-4.29663 + 3.08853i) q^{28} +(4.42794 + 2.55647i) q^{29} +(0.259548 - 0.630528i) q^{30} -2.92133 q^{31} +(5.59011 + 0.866385i) q^{32} +(-0.0994063 - 1.67905i) q^{33} +(0.127058 + 1.71463i) q^{34} +(-0.337032 - 0.654850i) q^{35} +(-5.78866 + 1.57843i) q^{36} +(4.36529 - 2.52030i) q^{37} +(-0.691512 + 1.43289i) q^{38} +(0.536988 + 9.07016i) q^{39} +(-0.233951 + 0.751781i) q^{40} +(0.140637 + 0.243590i) q^{41} +(-2.75325 + 5.86682i) q^{42} +(-2.07785 - 1.19965i) q^{43} +(0.286272 + 1.92099i) q^{44} +(-0.0985371 - 0.829269i) q^{45} +(0.357012 + 4.81781i) q^{46} +9.67527 q^{47} +(6.49620 - 2.40820i) q^{48} +(2.89920 + 6.37139i) q^{49} +(6.26956 + 3.02569i) q^{50} +(1.15881 + 1.75821i) q^{51} +(-1.54643 - 10.3771i) q^{52} +(8.15394 + 4.70768i) q^{53} +(-5.25005 + 5.14169i) q^{54} -0.270323 q^{55} +(2.56587 - 7.02967i) q^{56} +(0.115163 + 1.94519i) q^{57} +(-7.21102 + 0.534355i) q^{58} +1.39375i q^{59} +(0.198252 + 0.943694i) q^{60} -10.7805i q^{61} +(3.41545 - 2.32445i) q^{62} +(0.555043 + 7.91782i) q^{63} +(-7.22500 + 3.43503i) q^{64} +1.46027 q^{65} +(1.45221 + 1.88395i) q^{66} +6.17935i q^{67} +(-1.51285 - 1.90355i) q^{68} +(3.25604 + 4.94027i) q^{69} +(0.915091 + 0.497442i) q^{70} -6.42604 q^{71} +(5.51183 - 6.45134i) q^{72} +(4.74969 - 8.22670i) q^{73} +(-3.09828 + 6.41997i) q^{74} +(8.51114 - 0.503891i) q^{75} +(-0.331647 - 2.22547i) q^{76} +(2.56629 + 0.124006i) q^{77} +(-7.84478 - 10.1770i) q^{78} -0.647489 q^{79} +(-0.324656 - 1.06509i) q^{80} +(-2.54820 + 8.63172i) q^{81} +(-0.358244 - 0.172889i) q^{82} +(-10.6784 - 6.16517i) q^{83} +(-1.44919 - 9.04985i) q^{84} +(0.293085 - 0.169213i) q^{85} +(3.38384 - 0.250752i) q^{86} +(-7.39432 + 4.87346i) q^{87} +(-1.86319 - 2.01812i) q^{88} +(-7.47783 - 12.9520i) q^{89} +(0.775038 + 0.891128i) q^{90} +(-13.8630 - 0.669875i) q^{91} +(-4.25084 - 5.34863i) q^{92} +(2.26655 - 4.52386i) q^{93} +(-11.3118 + 7.69844i) q^{94} +0.313170 q^{95} +(-5.67880 + 7.98443i) q^{96} +(7.64336 - 13.2387i) q^{97} +(-8.45917 - 5.14222i) q^{98} +(2.67724 + 1.14878i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.16914	+	0.795682i	−0.826707	+	0.562632i
$2$	−1.16914	+	0.795682i	−0.826707	+	0.562632i
$3$	−0.775861	+	1.54856i	−0.447944	+	0.894062i
$3$	−0.775861	+	1.54856i	−0.447944	+	0.894062i
$4$	0.733781	−	1.86053i	0.366890	−	0.930264i
$5$	0.241073	+	0.139184i	0.107811	+	0.0622449i	0.552936	−	0.833224i	$-0.313507\pi$
$5$	0.241073	+	0.139184i	0.107811	+	0.0622449i	−0.445125	+	0.895469i	$0.646841\pi$
$6$	−0.325070	−	2.42782i	−0.132709	−	0.991155i
$7$	−2.22477	−	1.43192i	−0.840884	−	0.541216i
$7$	−2.22477	−	1.43192i	−0.840884	−	0.541216i
$8$	0.622496	+	2.75908i	0.220086	+	0.975481i
$9$	−1.79608	−	2.40294i	−0.598693	−	0.800979i
$10$	−0.392595	+	0.0290923i	−0.124149	+	0.00919979i
$11$	−0.840997	+	0.485550i	−0.253570	+	0.146399i	−0.621398	−	0.783495i	$-0.713435\pi$
$11$	−0.840997	+	0.485550i	−0.253570	+	0.146399i	0.367828	+	0.929894i	$0.380102\pi$
$12$	2.31183	+	2.57982i	0.667367	+	0.744729i
$13$	4.54302	−	2.62292i	1.26001	−	0.727466i	0.286932	−	0.957951i	$-0.407365\pi$
$13$	4.54302	−	2.62292i	1.26001	−	0.727466i	0.973076	+	0.230485i	$0.0740313\pi$
$14$	3.74042	−	0.0960895i	0.999670	−	0.0256810i
$15$	−0.402574	+	0.265329i	−0.103944	+	0.0685078i
$16$	−2.92313	−	2.73044i	−0.730783	−	0.682610i
$17$	0.607875	−	1.05287i	0.147431	−	0.255359i	−0.782846	−	0.622216i	$-0.786233\pi$
$17$	0.607875	−	1.05287i	0.147431	−	0.255359i	0.930277	+	0.366857i	$0.119566\pi$
$18$	4.01184	+	1.38026i	0.945600	+	0.325331i
$19$	0.974298	−	0.562511i	0.223519	−	0.129049i	−0.384059	−	0.923308i	$-0.625474\pi$
$19$	0.974298	−	0.562511i	0.223519	−	0.129049i	0.607579	+	0.794259i	$0.292141\pi$
$20$	0.435850	−	0.346393i	0.0974591	−	0.0774559i
$21$	3.94353	−	2.33422i	0.860549	−	0.509368i
$22$	0.596901	−	1.23684i	0.127260	−	0.263696i
$23$	1.70802	−	2.95838i	0.356147	−	0.616865i	−0.631166	−	0.775648i	$-0.717423\pi$
$23$	1.70802	−	2.95838i	0.356147	−	0.616865i	0.987314	+	0.158782i	$0.0507568\pi$
$24$	−4.75557	−	1.17669i	−0.970726	−	0.240190i
$25$	−2.46126	−	4.26302i	−0.492251	−	0.852604i
$26$	−3.22443	+	6.68136i	−0.632362	+	1.31032i
$27$	5.11460	−	0.916992i	0.984305	−	0.176475i
$28$	−4.29663	+	3.08853i	−0.811986	+	0.583677i
$29$	4.42794	+	2.55647i	0.822248	+	0.474725i	0.851191	−	0.524856i	$-0.175881\pi$
$29$	4.42794	+	2.55647i	0.822248	+	0.474725i	−0.0289434	+	0.999581i	$0.509214\pi$
$30$	0.259548	−	0.630528i	0.0473867	−	0.115118i
$31$	−2.92133			−0.524687			−0.262343	−	0.964975i	$-0.584495\pi$
$31$	−2.92133			−0.524687			−0.262343	+	0.964975i	$0.584495\pi$
$32$	5.59011	+	0.866385i	0.988202	+	0.153157i
$33$	−0.0994063	−	1.67905i	−0.0173044	−	0.292286i
$34$	0.127058	+	1.71463i	0.0217904	+	0.294057i
$35$	−0.337032	−	0.654850i	−0.0569688	−	0.110690i
$36$	−5.78866	+	1.57843i	−0.964776	+	0.263071i
$37$	4.36529	−	2.52030i	0.717649	−	0.414335i	−0.0962378	−	0.995358i	$-0.530681\pi$
$37$	4.36529	−	2.52030i	0.717649	−	0.414335i	0.813887	+	0.581024i	$0.197348\pi$
$38$	−0.691512	+	1.43289i	−0.112178	+	0.232445i
$39$	0.536988	+	9.07016i	0.0859869	+	1.45239i
$40$	−0.233951	+	0.751781i	−0.0369910	+	0.118867i
$41$	0.140637	+	0.243590i	0.0219638	+	0.0380423i	0.876798	−	0.480858i	$-0.159675\pi$
$41$	0.140637	+	0.243590i	0.0219638	+	0.0380423i	−0.854835	+	0.518901i	$0.826341\pi$
$42$	−2.75325	+	5.86682i	−0.424836	+	0.905271i
$43$	−2.07785	−	1.19965i	−0.316870	−	0.182945i	0.333127	−	0.942882i	$-0.391896\pi$
$43$	−2.07785	−	1.19965i	−0.316870	−	0.182945i	−0.649996	+	0.759937i	$0.725230\pi$
$44$	0.286272	+	1.92099i	0.0431571	+	0.289599i
$45$	−0.0985371	−	0.829269i	−0.0146890	−	0.123620i
$46$	0.357012	+	4.81781i	0.0526385	+	0.710347i
$47$	9.67527			1.41128			0.705642	−	0.708569i	$-0.250659\pi$
$47$	9.67527			1.41128			0.705642	+	0.708569i	$0.250659\pi$
$48$	6.49620	−	2.40820i	0.937645	−	0.347594i
$49$	2.89920	+	6.37139i	0.414171	+	0.910199i
$50$	6.26956	+	3.02569i	0.886650	+	0.427898i
$51$	1.15881	+	1.75821i	0.162266	+	0.246199i
$52$	−1.54643	−	10.3771i	−0.214451	−	1.43904i
$53$	8.15394	+	4.70768i	1.12003	+	0.646650i	0.941409	−	0.337268i	$-0.109503\pi$
$53$	8.15394	+	4.70768i	1.12003	+	0.646650i	0.178622	+	0.983918i	$0.442836\pi$
$54$	−5.25005	+	5.14169i	−0.714442	+	0.699695i
$55$	−0.270323			−0.0364503
$56$	2.56587	−	7.02967i	0.342879	−	0.939380i
$57$	0.115163	+	1.94519i	0.0152537	+	0.257647i
$58$	−7.21102	+	0.534355i	−0.946854	+	0.0701643i
$59$			1.39375i			0.181451i	0.995876	+	0.0907256i	$0.0289186\pi$
$59$			1.39375i			0.181451i	−0.995876	+	0.0907256i	$0.971081\pi$
$60$	0.198252	+	0.943694i	0.0255942	+	0.121830i
$61$		−	10.7805i		−	1.38030i	−0.723666	−	0.690151i	$-0.757544\pi$
$61$		−	10.7805i		−	1.38030i	0.723666	−	0.690151i	$-0.242456\pi$
$62$	3.41545	−	2.32445i	0.433762	−	0.295206i
$63$	0.555043	+	7.91782i	0.0699288	+	0.997552i
$64$	−7.22500	+	3.43503i	−0.903125	+	0.429378i
$65$	1.46027			0.181124
$66$	1.45221	+	1.88395i	0.178755	+	0.231899i
$67$			6.17935i			0.754927i	0.926024	+	0.377464i	$0.123204\pi$
$67$			6.17935i			0.754927i	−0.926024	+	0.377464i	$0.876796\pi$
$68$	−1.51285	−	1.90355i	−0.183460	−	0.230839i
$69$	3.25604	+	4.94027i	0.391982	+	0.594739i
$70$	0.915091	+	0.497442i	0.109374	+	0.0594556i
$71$	−6.42604			−0.762630			−0.381315	−	0.924445i	$-0.624529\pi$
$71$	−6.42604			−0.762630			−0.381315	+	0.924445i	$0.624529\pi$
$72$	5.51183	−	6.45134i	0.649575	−	0.760297i
$73$	4.74969	−	8.22670i	0.555909	−	0.962862i	−0.441923	−	0.897053i	$-0.645704\pi$
$73$	4.74969	−	8.22670i	0.555909	−	0.962862i	0.997832	−	0.0658096i	$-0.0209630\pi$
$74$	−3.09828	+	6.41997i	−0.360168	+	0.746306i
$75$	8.51114	−	0.503891i	0.982781	−	0.0581844i
$76$	−0.331647	−	2.22547i	−0.0380425	−	0.255279i
$77$	2.56629	+	0.124006i	0.292456	+	0.0141318i
$78$	−7.84478	−	10.1770i	−0.888246	−	1.15232i
$79$	−0.647489			−0.0728482			−0.0364241	−	0.999336i	$-0.511597\pi$
$79$	−0.647489			−0.0728482			−0.0364241	+	0.999336i	$0.511597\pi$
$80$	−0.324656	−	1.06509i	−0.0362977	−	0.119081i
$81$	−2.54820	+	8.63172i	−0.283134	+	0.959080i
$82$	−0.358244	−	0.172889i	−0.0395614	−	0.0190924i
$83$	−10.6784	−	6.16517i	−1.17210	−	0.676715i	−0.217930	−	0.975964i	$-0.569930\pi$
$83$	−10.6784	−	6.16517i	−1.17210	−	0.676715i	−0.954175	+	0.299250i	$0.903264\pi$
$84$	−1.44919	−	9.04985i	−0.158120	−	0.987420i
$85$	0.293085	−	0.169213i	0.0317895	−	0.0183537i
$86$	3.38384	−	0.250752i	0.364889	−	0.0270392i
$87$	−7.39432	+	4.87346i	−0.792754	+	0.522490i
$88$	−1.86319	−	2.01812i	−0.198616	−	0.215132i
$89$	−7.47783	−	12.9520i	−0.792648	−	1.37291i	−0.924322	−	0.381613i	$-0.875369\pi$
$89$	−7.47783	−	12.9520i	−0.792648	−	1.37291i	0.131674	−	0.991293i	$-0.457965\pi$
$90$	0.775038	+	0.891128i	0.0816962	+	0.0939331i
$91$	−13.8630	−	0.669875i	−1.45324	−	0.0702220i
$92$	−4.25084	−	5.34863i	−0.443181	−	0.557633i
$93$	2.26655	−	4.52386i	0.235030	−	0.469102i
$94$	−11.3118	+	7.69844i	−1.16672	+	0.794033i
$95$	0.313170			0.0321305
$96$	−5.67880	+	7.98443i	−0.579590	+	0.814908i
$97$	7.64336	−	13.2387i	0.776065	−	1.34418i	−0.158128	−	0.987419i	$-0.550546\pi$
$97$	7.64336	−	13.2387i	0.776065	−	1.34418i	0.934194	−	0.356766i	$-0.116121\pi$
$98$	−8.45917	−	5.14222i	−0.854505	−	0.519443i
$99$	2.67724	+	1.14878i	0.269073	+	0.115456i
$100$	−9.73749	+	1.45111i	−0.973749	+	0.145111i
$101$	−13.8878	+	8.01814i	−1.38189	+	0.797834i	−0.992383	−	0.123189i	$-0.960688\pi$
$101$	−13.8878	+	8.01814i	−1.38189	+	0.797834i	−0.389506	+	0.921024i	$0.627354\pi$
$102$	−2.75379	−	1.13356i	−0.272666	−	0.112239i
$103$	6.99706	−	12.1193i	0.689441	−	1.19415i	−0.282578	−	0.959244i	$-0.591190\pi$
$103$	6.99706	−	12.1193i	0.689441	−	1.19415i	0.972019	−	0.234902i	$-0.0754769\pi$
$104$	10.0648	+	10.9018i	0.986938	+	1.06901i
$105$	1.27557	−	0.0138420i	0.124482	−	0.00135084i
$106$	−13.2789	+	0.984002i	−1.28976	+	0.0955748i
$107$	2.40489	−	1.38846i	0.232489	−	0.134228i	−0.379231	−	0.925302i	$-0.623811\pi$
$107$	2.40489	−	1.38846i	0.232489	−	0.134228i	0.611720	+	0.791075i	$0.290478\pi$
$108$	2.04690	−	10.1887i	0.196963	−	0.980411i
$109$	6.13771	+	3.54361i	0.587886	+	0.339416i	0.764261	−	0.644907i	$-0.223104\pi$
$109$	6.13771	+	3.54361i	0.587886	+	0.339416i	−0.176375	+	0.984323i	$0.556437\pi$
$110$	0.316045	−	0.215091i	0.0301337	−	0.0205081i
$111$	0.515980	+	8.71531i	0.0489746	+	0.827221i
$112$	2.59352	+	10.2603i	0.245064	+	0.969507i
$113$	−3.11967	−	5.40342i	−0.293473	−	0.508311i	0.681155	−	0.732139i	$-0.261478\pi$
$113$	−3.11967	−	5.40342i	−0.293473	−	0.508311i	−0.974629	+	0.223828i	$0.928145\pi$
$114$	−1.68239	−	2.18257i	−0.157571	−	0.204416i
$115$	0.823517	−	0.475458i	0.0767934	−	0.0443367i
$116$	8.00552	−	6.36242i	0.743294	−	0.590736i
$117$	−14.4623	−	6.20563i	−1.33704	−	0.573711i
$118$	−1.10898	−	1.62949i	−0.102090	−	0.150007i
$119$	−2.86001	+	1.47196i	−0.262177	+	0.134935i
$120$	−0.982664	−	0.945566i	−0.0897046	−	0.0863179i
$121$	−5.02848	+	8.70959i	−0.457135	+	0.791781i
$122$	8.57785	+	12.6039i	0.776602	+	1.14111i
$123$	−0.486328	+	0.0287925i	−0.0438507	+	0.00259613i
$124$	−2.14362	+	5.43522i	−0.192502	+	0.488097i
$125$		−	2.76211i		−	0.247050i
$126$	−6.94899	−	8.81541i	−0.619065	−	0.785339i
$127$	16.9392			1.50311			0.751555	−	0.659670i	$-0.229304\pi$
$127$	16.9392			1.50311			0.751555	+	0.659670i	$0.229304\pi$
$128$	5.71385	−	9.76483i	0.505038	−	0.863097i
$129$	3.46986	−	2.28692i	0.305504	−	0.201352i
$130$	−1.70726	+	1.16191i	−0.149737	+	0.101906i
$131$	−10.1479	−	5.85887i	−0.886622	−	0.511892i	−0.0137861	−	0.999905i	$-0.504388\pi$
$131$	−10.1479	−	5.85887i	−0.886622	−	0.511892i	−0.872836	+	0.488013i	$0.837722\pi$
$132$	−3.19687	−	1.04711i	−0.278252	−	0.0911391i
$133$	−2.97306	−	0.143662i	−0.257797	−	0.0124570i
$134$	−4.91679	−	7.22453i	−0.424746	−	0.624104i
$135$	1.36062	+	0.490807i	0.117104	+	0.0422419i
$136$	3.28335	+	1.02177i	0.281545	+	0.0876158i
$137$	−10.7234	−	18.5735i	−0.916164	−	1.58684i	−0.805187	−	0.593020i	$-0.797935\pi$
$137$	−10.7234	−	18.5735i	−0.916164	−	1.58684i	−0.110977	−	0.993823i	$-0.535398\pi$
$138$	−7.73766	−	3.18510i	−0.658673	−	0.271133i
$139$	10.0637	−	5.81029i	0.853594	−	0.492823i	−0.00826810	−	0.999966i	$-0.502632\pi$
$139$	10.0637	−	5.81029i	0.853594	−	0.492823i	0.861862	+	0.507143i	$0.169299\pi$
$140$	−1.46568	+	0.146542i	−0.123872	+	0.0123850i
$141$	−7.50667	+	14.9827i	−0.632175	+	1.26177i
$142$	7.51294	−	5.11308i	0.630472	−	0.429080i
$143$	−2.54711	+	4.41173i	−0.213000	+	0.368927i
$144$	−1.31090	+	11.9282i	−0.109241	+	0.994015i
$145$	0.711639	+	1.23259i	0.0590984	+	0.102361i
$146$	0.992783	+	13.3974i	0.0821633	+	1.10878i
$147$	−12.1159	−	0.453737i	−0.999299	−	0.0374236i
$148$	−1.48593	−	9.97109i	−0.122142	−	0.819618i
$149$	−2.23380	−	1.28968i	−0.183000	−	0.105655i	0.405702	−	0.914006i	$-0.367027\pi$
$149$	−2.23380	−	1.28968i	−0.183000	−	0.105655i	−0.588701	+	0.808351i	$0.700361\pi$
$150$	−9.54978	+	7.36128i	−0.779736	+	0.601046i
$151$	−0.707624	−	1.22564i	−0.0575856	−	0.0997412i	0.835795	−	0.549041i	$-0.185007\pi$
$151$	−0.707624	−	1.22564i	−0.0575856	−	0.0997412i	−0.893381	+	0.449300i	$0.851674\pi$
$152$	2.15851	+	2.33800i	0.175078	+	0.189637i
$153$	−3.62177	+	0.430354i	−0.292803	+	0.0347920i
$154$	−3.09903	+	1.89697i	−0.249727	+	0.152862i
$155$	−0.704255	−	0.406602i	−0.0565671	−	0.0326591i
$156$	17.2693	+	5.65643i	1.38265	+	0.452877i
$157$			11.9521i			0.953885i	0.878935	+	0.476942i	$0.158255\pi$
$157$			11.9521i			0.953885i	−0.878935	+	0.476942i	$0.841745\pi$
$158$	0.757006	−	0.515195i	0.0602242	−	0.0409868i
$159$	−13.6165	+	8.97437i	−1.07986	+	0.711714i
$160$	1.22704	+	0.986916i	0.0970061	+	0.0780225i
$161$	−8.03613	+	4.13596i	−0.633336	+	0.325959i
$162$	−3.88890	−	12.1193i	−0.305541	−	0.952179i
$163$	−21.1284	+	12.1985i	−1.65490	+	0.955460i	−0.679891	+	0.733313i	$0.737973\pi$
$163$	−21.1284	+	12.1985i	−1.65490	+	0.955460i	−0.975013	+	0.222147i	$0.928694\pi$
$164$	0.556402	−	0.0829170i	0.0434477	−	0.00647473i
$165$	0.209733	−	0.418611i	0.0163277	−	0.0325888i
$166$	17.3900	−	1.28865i	1.34973	−	0.100018i
$167$	−2.30941	−	4.00001i	−0.178707	−	0.309530i	0.762731	−	0.646716i	$-0.223858\pi$
$167$	−2.30941	−	4.00001i	−0.178707	−	0.309530i	−0.941438	+	0.337186i	$0.890525\pi$
$168$	8.89511	+	9.42746i	0.686273	+	0.727344i
$169$	7.25937	−	12.5736i	0.558413	−	0.967200i
$170$	−0.208018	+	0.431036i	−0.0159543	+	0.0330590i
$171$	−3.10160	−	1.33086i	−0.237185	−	0.101774i
$172$	−3.75667	+	2.98563i	−0.286444	+	0.227652i
$173$			1.80910i			0.137544i	0.997632	+	0.0687718i	$0.0219080\pi$
$173$			1.80910i			0.137544i	−0.997632	+	0.0687718i	$0.978092\pi$
$174$	4.76727	−	11.5813i	0.361406	−	0.877975i
$175$	−0.628588	+	13.0086i	−0.0475168	+	0.983355i
$176$	3.78411	+	0.876965i	0.285238	+	0.0661037i
$177$	−2.15831	−	1.08136i	−0.162229	−	0.0812799i
$178$	19.0483	+	9.19271i	1.42773	+	0.689023i
$179$	15.8352	+	9.14248i	1.18358	+	0.683341i	0.956840	−	0.290614i	$-0.0938595\pi$
$179$	15.8352	+	9.14248i	1.18358	+	0.683341i	0.226741	+	0.973955i	$0.427193\pi$
$180$	−1.61518	−	0.425170i	−0.120389	−	0.0316903i
$181$		−	16.1208i		−	1.19825i	−0.800655	−	0.599126i	$-0.795515\pi$
$181$		−	16.1208i		−	1.19825i	0.800655	−	0.599126i	$-0.204485\pi$
$182$	16.7408	−	10.2474i	1.24091	−	0.759584i
$183$	16.6943	+	8.36417i	1.23407	+	0.618297i
$184$	9.22564	+	2.87098i	0.680123	+	0.211652i
$185$	1.40314			0.103161
$186$	0.949639	+	7.09248i	0.0696309	+	0.520046i
$187$			1.18062i			0.0863351i
$188$	7.09953	−	18.0011i	0.517786	−	1.31287i
$189$	−12.6919	−	5.28361i	−0.923197	−	0.384326i
$190$	−0.366140	+	0.249184i	−0.0265626	+	0.0180777i
$191$	19.8991			1.43985			0.719924	−	0.694053i	$-0.244176\pi$
$191$	19.8991			1.43985			0.719924	+	0.694053i	$0.244176\pi$
$192$	0.286250	−	13.8534i	0.0206583	−	0.999787i
$193$	−6.39253			−0.460144			−0.230072	−	0.973174i	$-0.573896\pi$
$193$	−6.39253			−0.460144			−0.230072	+	0.973174i	$0.573896\pi$
$194$	1.59762	+	21.5596i	0.114702	+	1.54789i
$195$	−1.13297	+	2.26131i	−0.0811334	+	0.161936i
$196$	13.9815	−	0.718831i	0.998681	−	0.0513451i
$197$			24.7136i			1.76077i	0.474262	+	0.880384i	$0.342715\pi$
$197$			24.7136i			1.76077i	−0.474262	+	0.880384i	$0.657285\pi$
$198$	−4.04413	+	0.787152i	−0.287404	+	0.0559404i
$199$	−1.16402	+	2.01614i	−0.0825152	+	0.142921i	−0.904330	−	0.426835i	$-0.859629\pi$
$199$	−1.16402	+	2.01614i	−0.0825152	+	0.142921i	0.821814	+	0.569755i	$0.192962\pi$
$200$	10.2299	−	9.44450i	0.723361	−	0.667827i
$201$	−9.56909	−	4.79431i	−0.674952	−	0.338165i
$202$	9.85693	−	20.4246i	0.693531	−	1.43707i
$203$	−6.19047	−	12.0280i	−0.434486	−	0.844202i
$204$	4.12152	−	0.865851i	0.288564	−	0.0606217i
$205$			0.0782973i			0.00546852i
$206$	1.46253	+	19.7366i	0.101899	+	1.37511i
$207$	−10.1765	+	1.20922i	−0.707319	+	0.0840465i
$208$	−20.4416	−	4.73732i	−1.41737	−	0.328474i
$209$	−0.546255	+	0.946141i	−0.0377852	+	0.0654459i
$210$	−1.48030	+	1.03113i	−0.102151	+	0.0711545i
$211$	4.38038	−	2.52901i	0.301558	−	0.174104i	−0.341585	−	0.939851i	$-0.610964\pi$
$211$	4.38038	−	2.52901i	0.301558	−	0.174104i	0.643142	+	0.765747i	$0.277630\pi$
$212$	14.7420	−	11.7162i	1.01248	−	0.804675i
$213$	4.98571	−	9.95110i	0.341615	−	0.681838i
$214$	−1.70688	+	3.53683i	−0.116680	+	0.241773i
$215$	−0.333944	−	0.578407i	−0.0227748	−	0.0394470i
$216$	5.71387	+	13.5407i	0.388779	+	0.921331i
$217$	6.49929	+	4.18312i	0.441201	+	0.283969i
$218$	−9.99543	+	0.740687i	−0.676976	+	0.0501657i
$219$	9.05444	+	13.7380i	0.611843	+	0.928325i
$220$	−0.198357	+	0.502943i	−0.0133733	+	0.0339084i
$221$		−	6.37762i		−	0.429005i
$222$	−7.53787	−	9.77888i	−0.505909	−	0.656315i
$223$	−5.68171	+	9.84102i	−0.380476	+	0.659003i	−0.991130	−	0.132894i	$-0.957573\pi$
$223$	−5.68171	+	9.84102i	−0.380476	+	0.659003i	0.610655	+	0.791897i	$0.290906\pi$
$224$	−11.1961	−	9.93212i	−0.748072	−	0.663618i
$225$	−5.82315	+	13.5710i	−0.388210	+	0.904731i
$226$	7.94673	+	3.83510i	0.528609	+	0.255107i
$227$	−0.734214	+	0.423899i	−0.0487315	+	0.0281351i	−0.524168	−	0.851615i	$-0.675624\pi$
$227$	−0.734214	+	0.423899i	−0.0487315	+	0.0281351i	0.475436	+	0.879750i	$0.342290\pi$
$228$	3.70359	+	1.21308i	0.245276	+	0.0803382i
$229$	1.88485	+	1.08822i	0.124555	+	0.0719116i	0.560983	−	0.827827i	$-0.310423\pi$
$229$	1.88485	+	1.08822i	0.124555	+	0.0719116i	−0.436428	+	0.899739i	$0.643757\pi$
$230$	−0.584495	+	1.21114i	−0.0385404	+	0.0798599i
$231$	−2.18312	+	3.87785i	−0.143639	+	0.255144i
$232$	−4.29713	+	13.8084i	−0.282120	+	0.906567i
$233$	5.19819	+	9.00353i	0.340545	+	0.589841i	0.984534	−	0.175194i	$-0.0560552\pi$
$233$	5.19819	+	9.00353i	0.340545	+	0.589841i	−0.643989	+	0.765035i	$0.722722\pi$
$234$	21.8462	−	4.25215i	1.42813	−	0.277972i
$235$	2.33245	+	1.34664i	0.152152	+	0.0878451i
$236$	2.59312	+	1.02271i	0.168798	+	0.0665727i
$237$	0.502362	−	1.00268i	0.0326319	−	0.0651308i
$238$	2.17254	−	3.99659i	0.140825	−	0.259061i
$239$	−10.0004	−	17.3212i	−0.646871	−	1.12041i	−0.983866	−	0.178907i	$-0.942744\pi$
$239$	−10.0004	−	17.3212i	−0.646871	−	1.12041i	0.336995	−	0.941507i	$-0.390590\pi$
$240$	1.90124	+	0.323611i	0.122725	+	0.0208890i
$241$	14.7938	+	25.6236i	0.952951	+	1.65056i	0.738990	+	0.673717i	$0.235303\pi$
$241$	14.7938	+	25.6236i	0.952951	+	1.65056i	0.213961	+	0.976842i	$0.431363\pi$
$242$	−1.05106	−	14.1838i	−0.0675645	−	0.911770i
$243$	−11.3897	−	10.6431i	−0.730649	−	0.682753i
$244$	−20.0574	−	7.91052i	−1.28405	−	0.506419i
$245$	−0.187876	+	1.93949i	−0.0120029	+	0.123910i
$246$	0.545676	−	0.420625i	0.0347910	−	0.0268181i
$247$	2.95084	−	5.11100i	0.187757	−	0.325205i
$248$	−1.81852	−	8.06018i	−0.115476	−	0.511822i
$249$	17.8321	−	11.7528i	1.13006	−	0.744804i
$250$	2.19776	+	3.22929i	0.138998	+	0.204238i
$251$			5.81233i			0.366871i	0.983032	+	0.183436i	$0.0587219\pi$
$251$			5.81233i			0.366871i	−0.983032	+	0.183436i	$0.941278\pi$
$252$	15.1386	+	4.77727i	0.953643	+	0.300940i
$253$			3.31732i			0.208558i
$254$	−19.8043	+	13.4782i	−1.24263	+	0.845698i
$255$	0.0346428	+	0.585146i	0.00216942	+	0.0366432i
$256$	1.08940	+	15.9629i	0.0680875	+	0.997679i
$257$	−9.12994	+	15.8135i	−0.569510	+	0.986420i	0.427104	+	0.904202i	$0.359534\pi$
$257$	−9.12994	+	15.8135i	−0.569510	+	0.986420i	−0.996614	+	0.0822181i	$0.973800\pi$
$258$	−2.23709	+	5.43464i	−0.139275	+	0.338346i
$259$	−13.3206	−	0.643668i	−0.827704	−	0.0399956i
$260$	1.07152	−	2.71687i	0.0664527	−	0.168493i
$261$	−1.80989	−	15.2317i	−0.112029	−	0.942817i
$262$	16.5261	−	1.22462i	1.02098	−	0.0756575i
$263$	−3.21230	−	5.56386i	−0.198079	−	0.343082i	0.749827	−	0.661634i	$-0.230137\pi$
$263$	−3.21230	−	5.56386i	−0.198079	−	0.343082i	−0.947905	+	0.318552i	$0.896803\pi$
$264$	4.57076	−	1.31947i	0.281311	−	0.0812080i
$265$	1.31047	+	2.26979i	0.0805013	+	0.139432i
$266$	3.59024	−	2.19765i	0.220132	−	0.134747i
$267$	25.8587	−	1.53093i	1.58252	−	0.0936915i
$268$	11.4968	+	4.53428i	0.702282	+	0.276976i
$269$	−13.5861	−	7.84393i	−0.828358	−	0.478253i	0.0249318	−	0.999689i	$-0.492063\pi$
$269$	−13.5861	−	7.84393i	−0.828358	−	0.478253i	−0.853290	+	0.521436i	$0.825396\pi$
$270$	−1.98129	+	0.508802i	−0.120577	+	0.0309647i
$271$	−7.53628	−	13.0532i	−0.457796	−	0.792926i	0.541048	−	0.840992i	$-0.318028\pi$
$271$	−7.53628	−	13.0532i	−0.457796	−	0.792926i	−0.998844	+	0.0480655i	$0.984694\pi$
$272$	−4.65170	+	1.41791i	−0.282051	+	0.0859737i
$273$	11.7931	−	20.9479i	0.713751	−	1.26783i
$274$	27.3158	+	13.1826i	1.65021	+	0.796392i
$275$	4.13982	+	2.39012i	0.249640	+	0.144130i
$276$	11.5807	−	2.43289i	0.697078	−	0.146443i
$277$	15.8986	−	9.17909i	0.955257	−	0.551518i	0.0605469	−	0.998165i	$-0.480716\pi$
$277$	15.8986	−	9.17909i	0.955257	−	0.551518i	0.894710	+	0.446648i	$0.147382\pi$
$278$	−7.14276	+	14.8006i	−0.428394	+	0.887679i
$279$	5.24694	+	7.01977i	0.314126	+	0.420263i
$280$	1.59698	−	1.33754i	0.0954378	−	0.0799332i
$281$	−11.8660	+	20.5526i	−0.707869	+	1.22606i	0.257777	+	0.966204i	$0.417010\pi$
$281$	−11.8660	+	20.5526i	−0.707869	+	1.22606i	−0.965646	+	0.259860i	$0.916323\pi$
$282$	−3.14514	−	23.4899i	−0.187291	−	1.39880i
$283$		−	17.6209i		−	1.04745i	−0.851886	−	0.523727i	$-0.824541\pi$
$283$		−	17.6209i		−	1.04745i	0.851886	−	0.523727i	$-0.175459\pi$
$284$	−4.71530	+	11.9558i	−0.279802	+	0.709447i
$285$	−0.242976	+	0.484962i	−0.0143927	+	0.0287267i
$286$	−0.532399	−	7.18462i	−0.0314814	−	0.424836i
$287$	0.0359177	−	0.743312i	0.00212015	−	0.0438763i
$288$	−7.95842	−	14.9888i	−0.468954	−	0.883222i
$289$	7.76097	+	13.4424i	0.456528	+	0.790730i
$290$	−1.81276	−	0.874838i	−0.106449	−	0.0513723i
$291$	14.5707	+	22.1076i	0.854151	+	1.29597i
$292$	−11.8208	−	14.8735i	−0.691759	−	0.870407i
$293$	14.3497	−	8.28482i	0.838320	−	0.484004i	−0.0183730	−	0.999831i	$-0.505849\pi$
$293$	14.3497	−	8.28482i	0.838320	−	0.484004i	0.856693	+	0.515827i	$0.172515\pi$
$294$	14.5262	−	9.10989i	0.847184	−	0.531300i
$295$	−0.193988	+	0.335997i	−0.0112944	+	0.0195625i
$296$	9.67107	+	10.4753i	0.562120	+	0.608863i
$297$	−3.85612	+	3.25458i	−0.223755	+	0.188850i
$298$	3.63780	−	0.269570i	0.210732	−	0.0156158i
$299$		−	17.9200i		−	1.03634i
$300$	5.30780	−	16.2050i	0.306446	−	0.935594i
$301$	2.90494	+	5.64427i	0.167438	+	0.325330i
$302$	1.80253	+	0.869903i	0.103724	+	0.0500573i
$303$	−1.64155	−	27.7271i	−0.0943045	−	1.59288i
$304$	−4.38391	−	1.01597i	−0.251434	−	0.0582697i
$305$	1.50047	−	2.59889i	0.0859167	−	0.148812i
$306$	3.89194	−	3.38492i	0.222487	−	0.193503i
$307$			26.6520i			1.52111i	0.649273	+	0.760555i	$0.275073\pi$
$307$			26.6520i			1.52111i	−0.649273	+	0.760555i	$0.724927\pi$
$308$	2.11381	−	4.68367i	0.120446	−	0.266877i
$309$	13.3387	+	20.2382i	0.758810	+	1.15131i
$310$	1.14690	−	0.0849882i	0.0651395	−	0.00482701i
$311$	−8.78042			−0.497892			−0.248946	−	0.968517i	$-0.580084\pi$
$311$	−8.78042			−0.497892			−0.248946	+	0.968517i	$0.580084\pi$
$312$	−24.6910	+	7.12773i	−1.39785	+	0.403528i
$313$	14.5938			0.824890			0.412445	−	0.910983i	$-0.364675\pi$
$313$	14.5938			0.824890			0.412445	+	0.910983i	$0.364675\pi$
$314$	−9.51010	−	13.9737i	−0.536686	−	0.788584i
$315$	−0.968226	+	1.98603i	−0.0545534	+	0.111900i
$316$	−0.475115	+	1.20467i	−0.0267273	+	0.0677681i
$317$			22.7269i			1.27647i	0.769843	+	0.638234i	$0.220335\pi$
$317$			22.7269i			1.27647i	−0.769843	+	0.638234i	$0.779665\pi$
$318$	8.77882	−	21.3267i	0.492292	−	1.19594i
$319$	−4.96518			−0.277997
$320$	−2.21985	−	0.177509i	−0.124094	−	0.00992306i
$321$	0.284259	+	4.80136i	0.0158658	+	0.267986i
$322$	6.10446	−	11.2297i	0.340188	−	0.625808i
$323$		−	1.36775i		−	0.0761035i
$324$	14.1897	+	11.0748i	0.788319	+	0.615266i
$325$	−22.3631	−	12.9113i	−1.24048	−	0.716192i
$326$	14.9960	−	31.0732i	0.830550	−	1.72099i
$327$	−10.2495	+	6.75526i	−0.566799	+	0.373567i
$328$	−0.584537	+	0.539661i	−0.0322757	+	0.0297978i
$329$	−21.5252	−	13.8542i	−1.18672	−	0.763809i
$330$	0.0878739	+	0.656296i	0.00483730	+	0.0361279i
$331$		−	10.3439i		−	0.568555i	−0.958742	−	0.284277i	$-0.908246\pi$
$331$		−	10.3439i		−	0.568555i	0.958742	−	0.284277i	$-0.0917536\pi$
$332$	−19.3061	+	15.3436i	−1.05956	+	0.842087i
$333$	−13.8965	−	5.96285i	−0.761525	−	0.326762i
$334$	5.88276	+	2.83902i	0.321890	+	0.155344i
$335$	−0.860065	+	1.48968i	−0.0469904	+	0.0813897i
$336$	−17.9009	−	3.94435i	−0.976574	−	0.215182i
$337$	10.6245	+	18.4021i	0.578752	+	1.00243i	0.995623	+	0.0934625i	$0.0297935\pi$
$337$	10.6245	+	18.4021i	0.578752	+	1.00243i	−0.416870	+	0.908966i	$0.636873\pi$
$338$	1.51736	+	20.4765i	0.0825334	+	1.11377i
$339$	10.7879	−	0.638687i	0.585921	−	0.0346887i
$340$	−0.0997650	−	0.669458i	−0.00541052	−	0.0363065i
$341$	2.45683	−	1.41845i	0.133045	−	0.0768135i
$342$	4.68514	−	0.911919i	0.253344	−	0.0493109i
$343$	2.67330	−	18.3263i	0.144345	−	0.989527i
$344$	2.01647	−	6.47973i	0.108721	−	0.349364i
$345$	0.0973403	+	1.64416i	0.00524062	+	0.0885184i
$346$	−1.43947	−	2.11510i	−0.0773865	−	0.113708i
$347$		−	23.2920i		−	1.25038i	−0.780472	−	0.625190i	$-0.785021\pi$
$347$		−	23.2920i		−	1.25038i	0.780472	−	0.625190i	$-0.214979\pi$
$348$	3.64141	+	17.3334i	0.195200	+	0.929167i
$349$	2.54816	+	1.47118i	0.136400	+	0.0787504i	0.566647	−	0.823961i	$-0.308240\pi$
$349$	2.54816	+	1.47118i	0.136400	+	0.0787504i	−0.430247	+	0.902711i	$0.641574\pi$
$350$	−9.61577	−	15.7090i	−0.513985	−	0.839681i
$351$	20.8305	−	17.5811i	1.11185	−	0.938408i
$352$	−5.12194	+	1.98565i	−0.273000	+	0.105836i
$353$	10.1314	+	17.5481i	0.539240	+	0.933990i	0.998945	+	0.0459190i	$0.0146216\pi$
$353$	10.1314	+	17.5481i	0.539240	+	0.933990i	−0.459706	+	0.888071i	$0.652045\pi$
$354$	3.38379	−	0.453068i	0.179846	−	0.0240803i
$355$	−1.54915	−	0.894400i	−0.0822201	−	0.0474698i
$356$	−29.5846	+	4.40880i	−1.56798	+	0.233666i
$357$	−0.0604538	−	5.57094i	−0.00319955	−	0.294846i
$358$	−25.7881	+	1.91097i	−1.36295	+	0.100998i
$359$	9.46368	+	16.3916i	0.499474	+	0.865114i	1.00000		0.000607460i	$-0.000193361\pi$
$359$	9.46368	+	16.3916i	0.499474	+	0.865114i	−0.500526	+	0.865722i	$0.666860\pi$
$360$	2.22668	−	0.788088i	0.117356	−	0.0415359i
$361$	−8.86716	+	15.3584i	−0.466693	+	0.808336i
$362$	12.8271	+	18.8475i	0.674175	+	0.990604i
$363$	−9.58592	−	14.5443i	−0.503130	−	0.763380i
$364$	−11.4187	+	25.3009i	−0.598503	+	1.32613i
$365$	2.29005	−	1.32216i	0.119867	−	0.0692050i
$366$	−26.1732	+	3.50442i	−1.36809	+	0.183179i
$367$	5.98958	+	10.3743i	0.312653	+	0.541531i	0.978936	−	0.204168i	$-0.0654489\pi$
$367$	5.98958	+	10.3743i	0.312653	+	0.541531i	−0.666283	+	0.745699i	$0.732116\pi$
$368$	−13.0705	+	3.98409i	−0.681345	+	0.207685i
$369$	0.332736	−	0.775447i	0.0173216	−	0.0403682i
$370$	−1.64047	+	1.11645i	−0.0852839	+	0.0580416i
$371$	−11.3996	−	22.1493i	−0.591838	−	1.14994i
$372$	−6.75362	−	7.53650i	−0.350159	−	0.390749i
$373$	3.88145	+	2.24095i	0.200974	+	0.116032i	0.597110	−	0.802160i	$-0.296316\pi$
$373$	3.88145	+	2.24095i	0.200974	+	0.116032i	−0.396136	+	0.918192i	$0.629649\pi$
$374$	−0.939394	−	1.38031i	−0.0485749	−	0.0713739i
$375$	4.27729	+	2.14301i	0.220878	+	0.110665i
$376$	6.02281	+	26.6948i	0.310603	+	1.37668i
$377$	26.8216			1.38138
$378$	19.0427	−	3.92140i	0.979448	−	0.201695i
$379$			20.4307i			1.04945i	0.851271	+	0.524727i	$0.175833\pi$
$379$			20.4307i			1.04945i	−0.851271	+	0.524727i	$0.824167\pi$
$380$	0.229798	−	0.582661i	0.0117884	−	0.0298899i
$381$	−13.1425	+	26.2314i	−0.673309	+	1.34387i
$382$	−23.2649	+	15.8334i	−1.19033	+	0.810105i
$383$	−7.49563	+	12.9828i	−0.383009	+	0.663390i	−0.991491	−	0.130177i	$-0.958445\pi$
$383$	−7.49563	+	12.9828i	−0.383009	+	0.663390i	0.608482	+	0.793568i	$0.291779\pi$
$384$	10.6883	+	16.4244i	0.545434	+	0.838154i
$385$	0.601405	+	0.387081i	0.0306505	+	0.0197275i
$386$	7.47377	−	5.08642i	0.380405	−	0.258892i
$387$	0.849309	+	7.14762i	0.0431728	+	0.363334i
$388$	−19.0224	−	23.9350i	−0.965716	−	1.21511i
$389$	−20.7489	+	11.9794i	−1.05201	+	0.607378i	−0.923211	−	0.384293i	$-0.874445\pi$
$389$	−20.7489	+	11.9794i	−1.05201	+	0.607378i	−0.128798	+	0.991671i	$0.541112\pi$
$390$	−0.474690	−	3.54528i	−0.0240369	−	0.179522i
$391$	−2.07653	−	3.59666i	−0.105015	−	0.181891i
$392$	−15.7744	+	11.9653i	−0.796729	+	0.604337i
$393$	16.9461	−	11.1689i	0.854820	−	0.563397i
$394$	−19.6641	−	28.8936i	−0.990664	−	1.45564i
$395$	−0.156092	−	0.0901200i	−0.00785386	−	0.00453443i
$396$	4.10184	−	4.13813i	0.206125	−	0.207949i
$397$	22.4563	−	12.9651i	1.12705	−	0.650701i	0.183856	−	0.982953i	$-0.441142\pi$
$397$	22.4563	−	12.9651i	1.12705	−	0.650701i	0.943191	+	0.332252i	$0.107809\pi$
$398$	−0.243304	−	3.28334i	−0.0121957	−	0.164579i
$399$	2.52915	−	4.49250i	0.126616	−	0.224907i
$400$	−4.44534	+	19.1817i	−0.222267	+	0.959084i
$401$	−7.58890	+	13.1444i	−0.378972	+	0.656398i	−0.990913	−	0.134505i	$-0.957056\pi$
$401$	−7.58890	+	13.1444i	−0.378972	+	0.656398i	0.611941	+	0.790903i	$0.290389\pi$
$402$	15.0024	−	2.00872i	0.748250	−	0.100186i
$403$	−13.2717	+	7.66241i	−0.661109	+	0.381692i
$404$	4.72736	+	31.7222i	0.235195	+	1.57824i
$405$	−1.81570	+	1.72621i	−0.0902228	+	0.0857761i
$406$	16.8080	+	9.13681i	0.834168	+	0.453452i
$407$	−2.44746	+	4.23913i	−0.121316	+	0.210126i
$408$	−4.12969	+	4.29172i	−0.204450	+	0.212472i
$409$	18.3460			0.907153			0.453576	−	0.891217i	$-0.350148\pi$
$409$	18.3460			0.907153			0.453576	+	0.891217i	$0.350148\pi$
$410$	−0.0622998	−	0.0915406i	−0.00307677	−	0.00452087i
$411$	37.0821	−	2.19540i	1.82913	−	0.108291i
$412$	−17.4139	−	21.9111i	−0.857922	−	1.07948i
$413$	1.99575	−	3.10078i	0.0982043	−	0.152579i
$414$	10.9357	−	9.51104i	0.537458	−	0.467442i
$415$	−1.71618	−	2.97251i	−0.0842441	−	0.145915i
$416$	27.6685	−	10.7264i	1.35656	−	0.525904i
$417$	1.18954	+	20.0923i	0.0582519	+	0.983922i
$418$	−0.114178	−	1.54082i	−0.00558465	−	0.0753638i
$419$	−17.7432	+	10.2440i	−0.866811	+	0.500453i	−0.866287	−	0.499546i	$-0.833500\pi$
$419$	−17.7432	+	10.2440i	−0.866811	+	0.500453i	−0.000523673		1.00000i	$0.500167\pi$
$420$	0.910232	−	2.38338i	0.0444148	−	0.116297i
$421$	−17.5362	−	10.1245i	−0.854661	−	0.493438i	0.00756010	−	0.999971i	$-0.497594\pi$
$421$	−17.5362	−	10.1245i	−0.854661	−	0.493438i	−0.862221	+	0.506533i	$0.830927\pi$
$422$	−3.10899	+	6.44216i	−0.151343	+	0.313600i
$423$	−17.3775	−	23.2491i	−0.844925	−	1.13041i
$424$	−7.91305	+	25.4279i	−0.384292	+	1.23489i
$425$	−5.98455			−0.290293
$426$	2.08891	+	15.6013i	0.101208	+	0.755885i
$427$	−15.4368	+	23.9841i	−0.747041	+	1.16067i
$428$	−0.818613	−	5.49318i	−0.0395692	−	0.265523i
$429$	−4.85562	−	7.36724i	−0.234432	−	0.355694i
$430$	0.850655	+	0.410527i	0.0410222	+	0.0197974i
$431$	17.7635	−	30.7673i	0.855638	−	1.48201i	−0.0204145	−	0.999792i	$-0.506499\pi$
$431$	17.7635	−	30.7673i	0.855638	−	1.48201i	0.876052	−	0.482216i	$-0.160168\pi$
$432$	−17.4544	−	11.2846i	−0.839777	−	0.542931i
$433$	−30.7010			−1.47539			−0.737697	−	0.675132i	$-0.764087\pi$
$433$	−30.7010			−1.47539			−0.737697	+	0.675132i	$0.764087\pi$
$434$	−10.9270	+	0.280709i	−0.524514	+	0.0134745i
$435$	−2.46088	+	0.145693i	−0.117990	+	0.00698546i
$436$	11.0967	−	8.81915i	0.531436	−	0.422361i
$437$		−	3.84313i		−	0.183842i
$438$	−21.5170	−	8.85715i	−1.02812	−	0.423211i
$439$	−0.599835			−0.0286286			−0.0143143	−	0.999898i	$-0.504557\pi$
$439$	−0.599835			−0.0286286			−0.0143143	+	0.999898i	$0.504557\pi$
$440$	−0.168275	−	0.745840i	−0.00802218	−	0.0355565i
$441$	10.1029	−	18.4101i	0.481089	−	0.876672i
$442$	5.07456	+	7.45634i	0.241372	+	0.354662i
$443$			33.4652i			1.58998i	0.606622	+	0.794991i	$0.292524\pi$
$443$			33.4652i			1.58998i	−0.606622	+	0.794991i	$0.707476\pi$
$444$	16.5937	+	5.43513i	0.787502	+	0.257940i
$445$		−	4.16317i		−	0.197353i
$446$	−1.18760	−	16.0264i	−0.0562343	−	0.758871i
$447$	3.73027	−	2.45855i	0.176436	−	0.116286i
$448$	20.9926	+	2.70350i	0.991809	+	0.127728i
$449$	−39.6602			−1.87168			−0.935839	−	0.352427i	$-0.885356\pi$
$449$	−39.6602			−1.87168			−0.935839	+	0.352427i	$0.885356\pi$
$450$	−3.99008	−	20.4997i	−0.188094	−	0.966367i
$451$	−0.236550	−	0.136572i	−0.0111387	−	0.00643093i
$452$	−12.3424	+	1.83930i	−0.580536	+	0.0865135i
$453$	2.44700	−	0.144871i	0.114970	−	0.00680665i
$454$	0.521111	−	1.07980i	0.0244570	−	0.0506774i
$455$	−3.24876	−	2.09099i	−0.152304	−	0.0980272i
$456$	−5.29524	+	1.52862i	−0.247972	+	0.0715840i
$457$	−39.0156			−1.82507			−0.912536	−	0.408997i	$-0.865879\pi$
$457$	−39.0156			−1.82507			−0.912536	+	0.408997i	$0.865879\pi$
$458$	−3.06953	+	0.227460i	−0.143430	+	0.0106285i
$459$	2.14356	−	5.94243i	0.100053	−	0.277369i
$460$	−0.280322	−	1.88106i	−0.0130701	−	0.0877049i
$461$	14.4054	+	8.31696i	0.670926	+	0.387359i	0.796427	−	0.604734i	$-0.206721\pi$
$461$	14.4054	+	8.31696i	0.670926	+	0.387359i	−0.125501	+	0.992093i	$0.540054\pi$
$462$	−0.533161	−	6.27082i	−0.0248049	−	0.291745i
$463$	−18.5385	−	32.1096i	−0.861555	−	1.49226i	−0.870427	−	0.492297i	$-0.836157\pi$
$463$	−18.5385	−	32.1096i	−0.861555	−	1.49226i	0.00887185	−	0.999961i	$-0.497176\pi$
$464$	−5.96316	−	19.5631i	−0.276833	−	0.908195i
$465$	1.17605	−	0.775115i	0.0545381	−	0.0359451i
$466$	−13.2414	−	6.39029i	−0.613394	−	0.296024i
$467$	17.1193	−	9.88382i	0.792185	−	0.457368i	−0.0485459	−	0.998821i	$-0.515459\pi$
$467$	17.1193	−	9.88382i	0.792185	−	0.457368i	0.840731	+	0.541452i	$0.182125\pi$
$468$	−22.1579	+	22.3540i	−1.02425	+	1.03331i
$469$	8.84834	−	13.7476i	0.408579	−	0.634806i
$470$	−3.79846	+	0.281476i	−0.175210	+	0.0129835i
$471$	−18.5086	−	9.27320i	−0.852832	−	0.427287i
$472$	−3.84547	+	0.867606i	−0.177002	+	0.0399348i
$473$	2.32996			0.107132
$474$	0.210480	+	1.57199i	0.00966765	+	0.0722039i
$475$	−4.79599	−	2.76897i	−0.220055	−	0.127049i
$476$	0.640011	+	6.40123i	0.0293348	+	0.293400i
$477$	−3.33287	−	28.0488i	−0.152602	−	1.28426i
$478$	25.4740	+	12.2938i	1.16515	+	0.562304i
$479$	−10.2416	−	17.7391i	−0.467953	−	0.810518i	0.531377	−	0.847136i	$-0.321675\pi$
$479$	−10.2416	−	17.7391i	−0.467953	−	0.810518i	−0.999329	+	0.0366177i	$0.988342\pi$
$480$	−2.48031	+	1.13444i	−0.113210	+	0.0517797i
$481$	13.2211	−	22.8996i	0.602829	−	1.04413i
$482$	−37.6842	−	18.1864i	−1.71647	−	0.828369i
$483$	−0.169864	−	15.6534i	−0.00772910	−	0.712253i
$484$	12.5146	+	15.7466i	0.568847	+	0.715753i
$485$	3.68522	−	2.12766i	0.167337	−	0.0966122i
$486$	21.7847	+	3.38067i	0.988172	+	0.153350i
$487$	1.28304	−	2.22229i	0.0581400	−	0.100701i	−0.835490	−	0.549505i	$-0.814816\pi$
$487$	1.28304	−	2.22229i	0.0581400	−	0.100701i	0.893630	+	0.448804i	$0.148150\pi$
$488$	29.7442	−	6.71082i	1.34646	−	0.303784i
$489$	−2.49739	−	42.1829i	−0.112936	−	1.90758i
$490$	−1.32357	−	2.41703i	−0.0597927	−	0.109190i
$491$	−4.84224	+	2.79567i	−0.218527	+	0.126167i	−0.605268	−	0.796022i	$-0.706934\pi$
$491$	−4.84224	+	2.79567i	−0.218527	+	0.126167i	0.386741	+	0.922188i	$0.373601\pi$
$492$	−0.303289	+	0.925954i	−0.0136733	+	0.0417452i
$493$	5.38327	−	3.10803i	0.242450	−	0.139979i
$494$	0.616786	+	8.32341i	0.0277505	+	0.374488i
$495$	0.485521	+	0.649568i	0.0218225	+	0.0291959i
$496$	8.53944	+	7.97652i	0.383432	+	0.358156i
$497$	14.2964	+	9.20158i	0.641283	+	0.412747i
$498$	−11.4967	+	27.9293i	−0.515180	+	1.25154i
$499$	12.3114	+	7.10800i	0.551134	+	0.318198i	0.749579	−	0.661914i	$-0.230256\pi$
$499$	12.3114	+	7.10800i	0.551134	+	0.318198i	−0.198445	+	0.980112i	$0.563589\pi$
$500$	−5.13898	−	2.02678i	−0.229822	−	0.0906403i
$501$	7.98604	−	0.472804i	0.356790	−	0.0211233i
$502$	−4.62477	−	6.79543i	−0.206413	−	0.303295i
$503$	29.1744			1.30082			0.650410	−	0.759583i	$-0.274597\pi$
$503$	29.1744			1.30082			0.650410	+	0.759583i	$0.274597\pi$
$504$	−21.5004	+	6.46022i	−0.957702	+	0.287761i
$505$	−4.46398			−0.198644
$506$	−2.63953	−	3.87841i	−0.117341	−	0.172417i
$507$	13.8387	+	20.9969i	0.614599	+	0.932507i
$508$	12.4297	−	31.5158i	0.551477	−	1.39829i
$509$	1.62111	+	0.935949i	0.0718545	+	0.0414852i	0.535497	−	0.844537i	$-0.320124\pi$
$509$	1.62111	+	0.935949i	0.0718545	+	0.0414852i	−0.463642	+	0.886022i	$0.653458\pi$
$510$	−0.506092	−	0.656553i	−0.0224101	−	0.0290727i
$511$	−22.3470	+	11.5013i	−0.988571	+	0.508789i
$512$	−13.9750	−	17.7960i	−0.617615	−	0.786481i
$513$	4.46733	−	3.77044i	0.197237	−	0.166469i
$514$	−1.90835	−	25.7528i	−0.0841735	−	1.13591i
$515$	3.37361	−	1.94775i	0.148659	−	0.0858283i
$516$	−1.70877	−	8.13387i	−0.0752243	−	0.358073i
$517$	−8.13687	+	4.69782i	−0.357859	+	0.206610i
$518$	16.0858	−	9.84645i	0.706772	−	0.432628i
$519$	−2.80151	−	1.40361i	−0.122973	−	0.0616118i
$520$	0.909011	+	4.02899i	0.0398628	+	0.176683i
$521$	12.1246	−	21.0005i	0.531189	−	0.920046i	−0.468148	−	0.883650i	$-0.655079\pi$
$521$	12.1246	−	21.0005i	0.531189	−	0.920046i	0.999337	−	0.0363966i	$-0.0115879\pi$
$522$	14.2356	+	16.3679i	0.623075	+	0.716403i
$523$	21.4904	−	12.4075i	0.939708	−	0.542541i	0.0498394	−	0.998757i	$-0.484129\pi$
$523$	21.4904	−	12.4075i	0.939708	−	0.542541i	0.889869	+	0.456216i	$0.150796\pi$
$524$	−18.3469	+	14.5813i	−0.801488	+	0.636985i
$525$	−19.6568	−	11.0662i	−0.857895	−	0.482971i
$526$	8.18269	+	3.94897i	0.356782	+	0.172183i
$527$	−1.77581	+	3.07579i	−0.0773553	+	0.133983i
$528$	−4.29398	+	5.17952i	−0.186871	+	0.225410i
$529$	5.66532	+	9.81262i	0.246318	+	0.426636i
$530$	−3.33815	−	1.61099i	−0.145000	−	0.0699771i
$531$	3.34910	−	2.50329i	0.145339	−	0.108634i
$532$	−2.44886	+	5.42605i	−0.106172	+	0.235249i
$533$	1.27783	+	0.737756i	0.0553490	+	0.0319558i
$534$	−29.0143	+	22.3651i	−1.25557	+	0.967835i
$535$	0.773005			0.0334199
$536$	−17.0493	+	3.84662i	−0.736417	+	0.166149i
$537$	−26.4436	+	17.4285i	−1.14113	+	0.752097i
$538$	22.1253	−	1.63954i	0.953891	−	0.0706857i
$539$	−5.53184	−	3.95062i	−0.238273	−	0.170165i
$540$	1.91156	−	2.17134i	0.0822604	−	0.0934394i
$541$	−8.44339	+	4.87479i	−0.363010	+	0.209584i	−0.670400	−	0.742000i	$-0.733878\pi$
$541$	−8.44339	+	4.87479i	−0.363010	+	0.209584i	0.307391	+	0.951583i	$0.400544\pi$
$542$	19.1972	+	9.26457i	0.824589	+	0.397947i
$543$	24.9641	+	12.5075i	1.07131	+	0.536749i
$544$	4.31029	−	5.35902i	0.184802	−	0.229766i
$545$	0.986425	+	1.70854i	0.0422538	+	0.0731858i
$546$	2.88011	+	33.8747i	0.123257	+	1.44970i
$547$	16.3643	+	9.44793i	0.699687	+	0.403964i	0.807231	−	0.590236i	$-0.200965\pi$
$547$	16.3643	+	9.44793i	0.699687	+	0.403964i	−0.107544	+	0.994200i	$0.534299\pi$
$548$	−42.4252	+	6.32235i	−1.81232	+	0.270077i
$549$	−25.9049	+	19.3626i	−1.10559	+	0.826377i
$550$	−6.74181	+	0.499585i	−0.287472	+	0.0213024i
$551$	5.75218			0.245051
$552$	−11.6037	+	12.0590i	−0.493886	+	0.513264i
$553$	1.44051	+	0.927154i	0.0612569	+	0.0394266i
$554$	−11.2841	+	23.3819i	−0.479416	+	0.993402i
$555$	−1.08864	+	2.17285i	−0.0462103	+	0.0922322i
$556$	−3.42565	−	22.9873i	−0.145280	−	0.974879i
$557$	25.5436	+	14.7476i	1.08232	+	0.624875i	0.931520	−	0.363689i	$-0.118483\pi$
$557$	25.5436	+	14.7476i	1.08232	+	0.624875i	0.150796	+	0.988565i	$0.451816\pi$
$558$	−11.7199	−	4.03221i	−0.496144	−	0.170697i
$559$	−12.5863			−0.532345
$560$	−0.802839	+	2.83446i	−0.0339261	+	0.119778i
$561$	−1.82825	−	0.915993i	−0.0771889	−	0.0386733i
$562$	−2.48025	−	33.4705i	−0.104623	−	1.41187i
$563$		−	20.5932i		−	0.867900i	−0.900937	−	0.433950i	$-0.857119\pi$
$563$		−	20.5932i		−	0.867900i	0.900937	−	0.433950i	$-0.142881\pi$
$564$	22.3676	+	24.9604i	0.941844	+	1.05102i
$565$		−	1.73683i		−	0.0730689i
$566$	14.0206	+	20.6013i	0.589332	+	0.865939i
$567$	18.0291	−	15.5548i	0.757152	−	0.653239i
$568$	−4.00018	−	17.7299i	−0.167844	−	0.743931i
$569$	−0.778122			−0.0326206			−0.0163103	−	0.999867i	$-0.505192\pi$
$569$	−0.778122			−0.0326206			−0.0163103	+	0.999867i	$0.505192\pi$
$570$	−0.101802	−	0.760321i	−0.00426403	−	0.0318464i
$571$		−	22.9533i		−	0.960565i	−0.877114	−	0.480282i	$-0.840534\pi$
$571$		−	22.9533i		−	0.960565i	0.877114	−	0.480282i	$-0.159466\pi$
$572$	6.33912	+	7.97621i	0.265052	+	0.333502i
$573$	−15.4389	+	30.8150i	−0.644971	+	1.28731i
$574$	0.549447	+	0.897615i	0.0229335	+	0.0374657i
$575$	−16.8155			−0.701256
$576$	21.2308	+	11.1916i	0.884617	+	0.466318i
$577$	−15.8381	+	27.4323i	−0.659347	+	1.14202i	0.321438	+	0.946931i	$0.395834\pi$
$577$	−15.8381	+	27.4323i	−0.659347	+	1.14202i	−0.980785	+	0.195092i	$0.937500\pi$
$578$	−19.7695	−	9.54080i	−0.822305	−	0.396845i
$579$	4.95971	−	9.89922i	0.206119	−	0.411397i
$580$	2.81546	−	0.419570i	0.116906	−	0.0174217i
$581$	14.9289	+	29.0067i	0.619355	+	1.20340i
$582$	−34.6258	−	14.2532i	−1.43529	−	0.590815i
$583$	−9.14325			−0.378675
$584$	25.6547	+	7.98366i	1.06160	+	0.330366i
$585$	−2.62276	−	3.50893i	−0.108438	−	0.145077i
$586$	−10.1848	+	21.1039i	−0.420729	+	0.871795i
$587$	4.85094	+	2.80069i	0.200220	+	0.115597i	0.596758	−	0.802421i	$-0.296455\pi$
$587$	4.85094	+	2.80069i	0.200220	+	0.115597i	−0.396538	+	0.918018i	$0.629789\pi$
$588$	−9.73458	+	22.2090i	−0.401447	+	0.915882i
$589$	−2.84625	+	1.64328i	−0.117278	+	0.0677103i
$590$	−0.0405475	−	0.547180i	−0.00166931	−	0.0225271i
$591$	−38.2704	−	19.1743i	−1.57424	−	0.788725i
$592$	−19.6418	−	4.55198i	−0.807275	−	0.187085i
$593$	15.5008	+	26.8482i	0.636542	+	1.10252i	0.986186	+	0.165640i	$0.0529690\pi$
$593$	15.5008	+	26.8482i	0.636542	+	1.10252i	−0.349645	+	0.936882i	$0.613698\pi$
$594$	1.91873	−	6.87330i	0.0787266	−	0.282015i
$595$	−0.894346	−	0.0432158i	−0.0366646	−	0.00177168i
$596$	−4.03861	+	3.20970i	−0.165428	+	0.131474i
$597$	−2.21900	−	3.36680i	−0.0908176	−	0.137794i
$598$	14.2586	+	20.9510i	0.583078	+	0.856750i
$599$	45.7895			1.87091			0.935453	−	0.353451i	$-0.114992\pi$
$599$	45.7895			1.87091			0.935453	+	0.353451i	$0.114992\pi$
$600$	6.68842	+	23.1692i	0.273054	+	0.945879i
$601$	15.2423	−	26.4005i	0.621748	−	1.07690i	−0.367412	−	0.930058i	$-0.619756\pi$
$601$	15.2423	−	26.4005i	0.621748	−	1.07690i	0.989160	−	0.146841i	$-0.0469104\pi$
$602$	−7.88733	−	4.28754i	−0.321464	−	0.174747i
$603$	14.8486	−	11.0986i	0.604681	−	0.451970i
$604$	−2.79958	+	0.417203i	−0.113913	+	0.0169757i
$605$	−2.42447	+	1.39977i	−0.0985686	+	0.0569086i
$606$	23.9811	+	31.1107i	0.974167	+	1.26379i
$607$	2.82319	−	4.88991i	0.114590	−	0.198475i	−0.803026	−	0.595944i	$-0.796778\pi$
$607$	2.82319	−	4.88991i	0.114590	−	0.198475i	0.917616	+	0.397469i	$0.130111\pi$
$608$	5.93379	−	2.30039i	0.240647	−	0.0932929i
$609$	23.4291	−	0.254243i	0.949394	−	0.0103025i
$610$	0.313629	+	4.23237i	0.0126985	+	0.171364i
$611$	43.9550	−	25.3774i	1.77823	−	1.02666i
$612$	−1.85690	+	7.05420i	−0.0750608	+	0.285149i
$613$	−1.23346	−	0.712137i	−0.0498189	−	0.0287629i	0.474884	−	0.880049i	$-0.342490\pi$
$613$	−1.23346	−	0.712137i	−0.0498189	−	0.0287629i	−0.524703	+	0.851286i	$0.675823\pi$
$614$	−21.2065	−	31.1600i	−0.855826	−	1.25751i
$615$	−0.121248	−	0.0607479i	−0.00488920	−	0.00244959i
$616$	1.25536	+	7.15779i	0.0505801	+	0.288396i
$617$	8.83778	+	15.3075i	0.355796	+	0.616256i	0.987254	−	0.159154i	$-0.0508766\pi$
$617$	8.83778	+	15.3075i	0.355796	+	0.616256i	−0.631458	+	0.775410i	$0.717543\pi$
$618$	−31.6980	−	13.0480i	−1.27508	−	0.524868i
$619$	19.2060	−	11.0886i	0.771953	−	0.445687i	−0.0616180	−	0.998100i	$-0.519626\pi$
$619$	19.2060	−	11.0886i	0.771953	−	0.445687i	0.833571	+	0.552413i	$0.186293\pi$
$620$	−1.27326	+	1.01193i	−0.0511355	+	0.0406401i
$621$	6.02304	−	16.6972i	0.241696	−	0.670035i
$622$	10.2656	−	6.98642i	0.411611	−	0.280130i
$623$	−1.90979	+	39.5228i	−0.0765140	+	1.58345i
$624$	23.1958	−	27.9795i	0.928577	−	1.12008i
$625$	−11.9218	+	20.6492i	−0.476874	+	0.825969i
$626$	−17.0622	+	11.6120i	−0.681942	+	0.464109i
$627$	−1.04134	−	1.57998i	−0.0415870	−	0.0630984i
$628$	22.2373	+	8.77025i	0.887365	+	0.349971i
$629$		−	6.12811i		−	0.244344i
$630$	−0.448254	−	3.09235i	−0.0178589	−	0.123202i
$631$	10.4670			0.416686			0.208343	−	0.978056i	$-0.433193\pi$
$631$	10.4670			0.416686			0.208343	+	0.978056i	$0.433193\pi$
$632$	−0.403059	−	1.78647i	−0.0160328	−	0.0710620i
$633$	0.517764	+	8.74545i	0.0205793	+	0.347600i
$634$	−18.0834	−	26.5709i	−0.718182	−	1.05527i
$635$	4.08359	+	2.35766i	0.162052	+	0.0935609i
$636$	6.70557	+	31.9190i	0.265893	+	1.26567i
$637$	29.8827	+	21.3410i	1.18400	+	0.845563i
$638$	5.80499	−	3.95070i	0.229822	−	0.156410i
$639$	11.5417	+	15.4414i	0.456581	+	0.610850i
$640$	2.73656	−	1.55876i	0.108172	−	0.0616156i
$641$	−0.197786	−	0.342575i	−0.00781207	−	0.0135309i	0.862093	−	0.506750i	$-0.169153\pi$
$641$	−0.197786	−	0.342575i	−0.00781207	−	0.0135309i	−0.869905	+	0.493219i	$0.835820\pi$
$642$	−4.15270	−	5.38729i	−0.163894	−	0.212619i
$643$	18.8109	−	10.8605i	0.741831	−	0.428296i	−0.0809036	−	0.996722i	$-0.525781\pi$
$643$	18.8109	−	10.8605i	0.741831	−	0.428296i	0.822735	+	0.568426i	$0.192447\pi$
$644$	1.79832	+	17.9863i	0.0708636	+	0.708761i
$645$	1.15479	−	0.0683681i	0.0454699	−	0.00269199i
$646$	1.08829	+	1.59909i	0.0428183	+	0.0629153i
$647$	5.82560	−	10.0902i	0.229028	−	0.396688i	−0.728492	−	0.685054i	$-0.759779\pi$
$647$	5.82560	−	10.0902i	0.229028	−	0.396688i	0.957520	+	0.288366i	$0.0931119\pi$
$648$	−25.4018	−	1.65747i	−0.997878	−	0.0651115i
$649$	−0.676737	−	1.17214i	−0.0265642	−	0.0460106i
$650$	36.4189	−	2.69873i	1.42847	−	0.105853i
$651$	−11.5204	+	6.81902i	−0.451519	+	0.267259i
$652$	7.19202	+	48.2610i	0.281661	+	1.89005i
$653$	−39.0262	−	22.5318i	−1.52721	−	0.881737i	−0.999477	−	0.0323284i	$-0.989708\pi$
$653$	−39.0262	−	22.5318i	−1.52721	−	0.881737i	−0.527736	−	0.849409i	$-0.676959\pi$
$654$	6.60807	−	16.0532i	0.258396	−	0.627730i
$655$	−1.63092	−	2.82483i	−0.0637253	−	0.110375i
$656$	0.254008	−	1.09604i	0.00991734	−	0.0427934i
$657$	−28.2990	+	3.36261i	−1.10405	+	0.131188i
$658$	36.1896	−	0.929692i	1.41082	−	0.0362432i
$659$	11.4966	+	6.63757i	0.447844	+	0.258563i	0.706919	−	0.707294i	$-0.250084\pi$
$659$	11.4966	+	6.63757i	0.447844	+	0.258563i	−0.259075	+	0.965857i	$0.583418\pi$
$660$	−0.624940	−	0.697382i	−0.0243257	−	0.0271456i
$661$			32.5615i			1.26649i	0.773950	+	0.633247i	$0.218278\pi$
$661$			32.5615i			1.26649i	−0.773950	+	0.633247i	$0.781722\pi$
$662$	8.23049	+	12.0935i	0.319887	+	0.470028i
$663$	9.87614	+	4.94815i	0.383557	+	0.192170i
$664$	10.3629	−	33.3002i	0.402159	−	1.29230i
$665$	−0.696731	−	0.448435i	−0.0270181	−	0.0173896i
$666$	20.9915	−	4.08580i	0.813405	−	0.158322i
$667$	15.1260	−	8.73302i	0.585683	−	0.338144i
$668$	−9.13674	+	1.36159i	−0.353511	+	0.0526814i
$669$	−10.8312	−	16.4337i	−0.418758	−	0.635365i
$670$	−0.179771	−	2.42598i	−0.00694517	−	0.0937237i
$671$	5.23447	+	9.06637i	0.202074	+	0.350003i
$672$	24.0671	−	9.63192i	0.928409	−	0.371559i
$673$	16.2836	−	28.2040i	0.627686	−	1.08718i	−0.360328	−	0.932826i	$-0.617335\pi$
$673$	16.2836	−	28.2040i	0.627686	−	1.08718i	0.988015	−	0.154359i	$-0.0493313\pi$
$674$	−27.0638	−	13.0610i	−1.04246	−	0.503090i
$675$	−16.4975	−	19.5467i	−0.634989	−	0.752352i
$676$	−18.0668	−	22.7325i	−0.694875	−	0.874328i
$677$			10.6119i			0.407850i	0.978987	+	0.203925i	$0.0653698\pi$
$677$			10.6119i			0.407850i	−0.978987	+	0.203925i	$0.934630\pi$
$678$	−12.1044	+	9.33049i	−0.464868	+	0.358335i
$679$	−35.9615	+	18.5083i	−1.38007	+	0.710284i
$680$	0.649315	+	0.703310i	0.0249001	+	0.0269707i
$681$	−0.0867845	−	1.46586i	−0.00332559	−	0.0561719i
$682$	−1.74374	+	3.61323i	−0.0667714	+	0.138358i
$683$	−5.95832	−	3.44004i	−0.227989	−	0.131629i	0.381655	−	0.924305i	$-0.375354\pi$
$683$	−5.95832	−	3.44004i	−0.227989	−	0.131629i	−0.609644	+	0.792675i	$0.708688\pi$
$684$	−4.75200	+	4.79405i	−0.181697	+	0.183305i
$685$		−	5.97011i		−	0.228106i
$686$	11.4564	+	23.5531i	0.437409	+	0.899263i
$687$	−3.14756	+	2.07450i	−0.120087	+	0.0791471i
$688$	2.79827	+	9.18019i	0.106683	+	0.349991i
$689$	49.3914			1.88166
$690$	−1.42203	−	1.84480i	−0.0541357	−	0.0702303i
$691$			38.5486i			1.46646i	0.679982	+	0.733229i	$0.261988\pi$
$691$			38.5486i			1.46646i	−0.679982	+	0.733229i	$0.738012\pi$
$692$	3.36589	+	1.32749i	0.127952	+	0.0504634i
$693$	−4.31129	−	6.38936i	−0.163772	−	0.242712i
$694$	18.5330	+	27.2316i	0.703504	+	1.03370i
$695$	3.23479			0.122703
$696$	−18.0492	−	17.3678i	−0.684153	−	0.658324i
$697$	0.341958			0.0129526
$698$	−4.14974	+	0.307507i	−0.157070	+	0.0116393i
$699$	−17.9756	+	1.06422i	−0.679899	+	0.0402526i
$700$	23.7416	+	10.7149i	0.897346	+	0.404987i
$701$		−	39.4496i		−	1.48999i	−0.667069	−	0.744996i	$-0.732451\pi$
$701$		−	39.4496i		−	1.48999i	0.667069	−	0.744996i	$-0.267549\pi$
$702$	−10.3649	+	37.1292i	−0.391198	+	1.40135i
$703$	2.83539	−	4.91105i	0.106939	−	0.185224i
$704$	4.40832	−	6.39694i	0.166145	−	0.241094i
$705$	−3.89501	+	2.56713i	−0.146695	+	0.0966838i
$706$	−25.8077	−	12.4548i	−0.971286	−	0.468743i
$707$	42.3785	+	2.04778i	1.59381	+	0.0770146i
$708$	−3.59563	+	3.22212i	−0.135132	+	0.121095i
$709$			32.5560i			1.22267i	0.791373	+	0.611334i	$0.209367\pi$
$709$			32.5560i			1.22267i	−0.791373	+	0.611334i	$0.790633\pi$
$710$	2.52283	−	0.186948i	0.0946800	−	0.00701603i
$711$	1.16294	+	1.55588i	0.0436137	+	0.0583499i
$712$	31.0806	−	28.6944i	1.16479	−	1.07537i
$713$	−4.98970	+	8.64242i	−0.186866	+	0.323661i
$714$	4.50338	+	6.46511i	0.168535	+	0.241951i
$715$	−1.22808	+	0.709033i	−0.0459276	+	0.0265163i
$716$	28.6294	−	22.7533i	1.06993	−	0.850332i
$717$	34.5818	−	2.04737i	1.29148	−	0.0764606i
$718$	−24.1068	−	11.6340i	−0.899660	−	0.434176i
$719$	−15.8084	−	27.3810i	−0.589555	−	1.02114i	−0.994291	−	0.106706i	$-0.965970\pi$
$719$	−15.8084	−	27.3810i	−0.589555	−	1.02114i	0.404735	−	0.914434i	$-0.367364\pi$
$720$	−1.97623	+	2.69311i	−0.0736498	+	0.100366i
$721$	−32.9207	+	16.9433i	−1.22603	+	0.631002i
$722$	−1.85342	−	25.0115i	−0.0689771	−	0.930833i
$723$	−51.1576	+	3.02872i	−1.90257	+	0.112639i
$724$	−29.9933	−	11.8292i	−1.11469	−	0.439627i
$725$		−	25.1685i		−	0.934735i
$726$	22.7800	+	9.37704i	0.845444	+	0.348015i
$727$	−22.2414	+	38.5232i	−0.824887	+	1.42875i	0.0771191	+	0.997022i	$0.475428\pi$
$727$	−22.2414	+	38.5232i	−0.824887	+	1.42875i	−0.902006	+	0.431724i	$0.857905\pi$
$728$	−6.78142	−	38.6660i	−0.251336	−	1.43306i
$729$	25.3183	−	9.38009i	0.937713	−	0.347411i
$730$	−1.62537	+	3.36794i	−0.0601576	+	0.124653i
$731$	−2.52615	+	1.45848i	−0.0934332	+	0.0539437i
$732$	27.8117	−	24.9227i	1.02795	−	0.921168i
$733$	−12.4692	−	7.19909i	−0.460560	−	0.265904i	0.251720	−	0.967800i	$-0.419004\pi$
$733$	−12.4692	−	7.19909i	−0.460560	−	0.265904i	−0.712280	+	0.701896i	$0.752337\pi$
$734$	−15.2573	−	7.36316i	−0.563156	−	0.271779i
$735$	−2.85766	−	1.79572i	−0.105406	−	0.0662360i
$736$	12.1111	−	15.0579i	0.446423	−	0.555041i
$737$	−3.00038	−	5.19681i	−0.110520	−	0.191427i
$738$	0.227994	+	1.17136i	0.00839257	+	0.0431183i
$739$	−1.40987	−	0.813986i	−0.0518628	−	0.0299430i	0.473844	−	0.880609i	$-0.342866\pi$
$739$	−1.40987	−	0.813986i	−0.0518628	−	0.0299430i	−0.525707	+	0.850666i	$0.676199\pi$
$740$	1.02960	−	2.61058i	0.0378487	−	0.0959669i
$741$	5.62526	+	8.53498i	0.206649	+	0.313540i
$742$	30.9516	+	16.8252i	1.13627	+	0.617673i
$743$	6.23328	+	10.7964i	0.228677	+	0.396080i	0.957416	−	0.288711i	$-0.0932267\pi$
$743$	6.23328	+	10.7964i	0.228677	+	0.396080i	−0.728739	+	0.684791i	$0.759893\pi$
$744$	13.8926	+	3.43749i	0.509327	+	0.126025i
$745$	−0.359006	−	0.621817i	−0.0131530	−	0.0227816i
$746$	−6.32104	+	0.468406i	−0.231430	+	0.0171495i
$747$	4.36471	+	36.7326i	0.159697	+	1.34398i
$748$	2.19657	+	0.866312i	0.0803145	+	0.0316755i
$749$	−7.33848	−	0.354604i	−0.268142	−	0.0129569i
$750$	−6.70591	+	0.897879i	−0.244865	+	0.0327859i
$751$	21.9992	−	38.1037i	0.802762	−	1.39042i	−0.115030	−	0.993362i	$-0.536696\pi$
$751$	21.9992	−	38.1037i	0.802762	−	1.39042i	0.917792	−	0.397062i	$-0.129970\pi$
$752$	−28.2821	−	26.4177i	−1.03134	−	0.963356i
$753$	−9.00075	−	4.50956i	−0.328005	−	0.164338i
$754$	−31.3583	+	21.3415i	−1.14200	+	0.777211i
$755$		−	0.393959i		−	0.0143376i
$756$	−19.1434	+	19.7366i	−0.696237	+	0.717812i
$757$			38.1556i			1.38679i	0.720558	+	0.693395i	$0.243886\pi$
$757$			38.1556i			1.38679i	−0.720558	+	0.693395i	$0.756114\pi$
$758$	−16.2563	−	23.8863i	−0.590456	−	0.867591i
$759$	−5.13707	−	2.57378i	−0.186464	−	0.0934223i
$760$	0.194947	+	0.864059i	0.00707147	+	0.0313427i
$761$	0.247587	−	0.428834i	0.00897503	−	0.0155452i	−0.861503	−	0.507752i	$-0.830476\pi$
$761$	0.247587	−	0.428834i	0.00897503	−	0.0155452i	0.870478	+	0.492207i	$0.163810\pi$
$762$	−5.50643	−	41.1254i	−0.199477	−	1.48982i
$763$	−8.58081	−	16.6724i	−0.310646	−	0.603583i
$764$	14.6016	−	37.0228i	0.528267	−	1.33944i
$765$	−0.933012	−	0.400345i	−0.0337331	−	0.0144745i
$766$	−1.56674	−	21.1429i	−0.0566086	−	0.763923i
$767$	3.65570	+	6.33185i	0.132000	+	0.228630i
$768$	−25.5647	−	10.6980i	−0.922486	−	0.386030i
$769$	1.11021	+	1.92294i	0.0400351	+	0.0693428i	0.885349	−	0.464928i	$-0.153920\pi$
$769$	1.11021	+	1.92294i	0.0400351	+	0.0693428i	−0.845314	+	0.534271i	$0.820586\pi$
$770$	−1.01112	+	0.0259752i	−0.0364383	+	0.000936080i
$771$	−17.4046	−	26.4074i	−0.626812	−	0.951038i
$772$	−4.69071	+	11.8935i	−0.168822	+	0.428056i
$773$	−7.77528	−	4.48906i	−0.279657	−	0.161460i	0.353611	−	0.935393i	$-0.384954\pi$
$773$	−7.77528	−	4.48906i	−0.279657	−	0.161460i	−0.633268	+	0.773932i	$0.718287\pi$
$774$	−6.68019	−	7.68079i	−0.240114	−	0.276080i
$775$	7.19015	+	12.4537i	0.258278	+	0.447350i
$776$	41.2845	+	12.8476i	1.48203	+	0.461201i
$777$	11.3317	−	20.1284i	0.406523	−	0.722103i
$778$	14.7266	−	30.5150i	0.527973	−	1.09402i
$779$	0.274044	+	0.158219i	0.00981865	+	0.00566880i
$780$	3.37589	+	3.76722i	0.120876	+	0.134888i
$781$	5.40428	−	3.12016i	0.193380	−	0.111648i
$782$	5.28955	+	2.55274i	0.189154	+	0.0912858i
$783$	24.9914	+	9.01494i	0.893120	+	0.322168i
$784$	8.92197	−	26.5405i	0.318642	−	0.947875i
$785$	−1.66354	+	2.88134i	−0.0593744	+	0.102840i
$786$	−10.9255	+	26.5418i	−0.389701	+	0.946713i
$787$		−	8.67295i		−	0.309157i	−0.987980	−	0.154579i	$-0.950598\pi$
$787$		−	8.67295i		−	0.309157i	0.987980	−	0.154579i	$-0.0494020\pi$
$788$	45.9803	+	18.1343i	1.63798	+	0.646009i
$789$	11.1083	−	0.657651i	0.395465	−	0.0234130i
$790$	0.254201	−	0.0188369i	0.00904406	−	0.000670188i
$791$	−0.796742	+	16.4885i	−0.0283289	+	0.586263i
$792$	−1.50299	+	8.10182i	−0.0534063	+	0.287886i
$793$	−28.2763	−	48.9761i	−1.00412	−	1.73919i
$794$	−15.9384	+	33.0261i	−0.565633	+	1.17205i
$795$	−4.53165	+	0.268291i	−0.160721	+	0.00951530i
$796$	2.89695	+	3.64510i	0.102680	+	0.129197i
$797$	14.3967	−	8.31192i	0.509956	−	0.294423i	−0.222860	−	0.974851i	$-0.571539\pi$
$797$	14.3967	−	8.31192i	0.509956	−	0.294423i	0.732816	+	0.680427i	$0.238206\pi$
$798$	0.617669	+	7.26477i	0.0218653	+	0.257170i
$799$	5.88136	−	10.1868i	0.208068	−	0.360384i
$800$	−10.0653	−	25.9632i	−0.355861	−	0.917936i
$801$	−17.6920	+	41.2315i	−0.625116	+	1.45684i
$802$	−1.58624	−	21.4060i	−0.0560120	−	0.755871i
$803$			9.22484i			0.325537i
$804$	−15.9416	+	14.2856i	−0.562216	+	0.503814i
$805$	−2.51296	−	0.121429i	−0.0885700	−	0.00427980i
$806$	9.41962	−	19.5185i	0.331792	−	0.687509i
$807$	22.6877	−	14.9531i	0.798646	−	0.526373i
$808$	−30.7678	−	33.3263i	−1.08241	−	1.17241i
$809$	21.6309	−	37.4659i	0.760503	−	1.31723i	−0.182089	−	0.983282i	$-0.558286\pi$
$809$	21.6309	−	37.4659i	0.760503	−	1.31723i	0.942592	−	0.333948i	$-0.108381\pi$
$810$	0.749294	−	3.46290i	0.0263275	−	0.121674i
$811$			19.3158i			0.678271i	0.940738	+	0.339135i	$0.110134\pi$
$811$			19.3158i			0.678271i	−0.940738	+	0.339135i	$0.889866\pi$
$812$	−26.9209	+	2.69162i	−0.944739	+	0.0944573i
$813$	26.0608	−	1.54290i	0.913992	−	0.0541118i
$814$	−0.511570	−	6.90354i	−0.0179305	−	0.241969i
$815$	−6.79133			−0.237890
$816$	1.41335	−	8.30354i	0.0494771	−	0.290682i
$817$	−2.69927			−0.0944354
$818$	−21.4491	+	14.5976i	−0.749950	+	0.510393i
$819$	23.2894	+	34.5150i	0.813796	+	1.20605i
$820$	0.145674	+	0.0574531i	0.00508717	+	0.00200635i
$821$		−	33.6538i		−	1.17453i	−0.809396	−	0.587263i	$-0.800205\pi$
$821$		−	33.6538i		−	1.17453i	0.809396	−	0.587263i	$-0.199795\pi$
$822$	−41.6074	+	32.0723i	−1.45122	+	1.11865i
$823$	−29.0941			−1.01415			−0.507077	−	0.861900i	$-0.669274\pi$
$823$	−29.0941			−1.01415			−0.507077	+	0.861900i	$0.669274\pi$
$824$	37.7936	+	11.7612i	1.31660	+	0.409722i
$825$	−6.91317	+	4.55635i	−0.240686	+	0.158632i
$826$	0.133925	+	5.21323i	0.00465985	+	0.181391i
$827$			40.1395i			1.39579i	0.716202	+	0.697893i	$0.245879\pi$
$827$			40.1395i			1.39579i	−0.716202	+	0.697893i	$0.754121\pi$
$828$	−5.21757	+	19.8211i	−0.181323	+	0.688829i
$829$	4.50248	+	2.59951i	0.156378	+	0.0902847i	0.576147	−	0.817346i	$-0.304556\pi$
$829$	4.50248	+	2.59951i	0.156378	+	0.0902847i	−0.419769	+	0.907631i	$0.637889\pi$
$830$	4.37163	+	2.10975i	0.151742	+	0.0732306i
$831$	1.87923	+	31.7417i	0.0651897	+	1.10111i
$832$	−23.8135	+	34.5560i	−0.825586	+	1.19801i
$833$	8.47061	+	0.820534i	0.293489	+	0.0284298i
$834$	−17.3778	−	22.5442i	−0.601743	−	0.780641i
$835$		−	1.28573i		−	0.0444945i
$836$	1.35949	+	1.71058i	0.0470190	+	0.0591617i
$837$	−14.9414	+	2.67884i	−0.516452	+	0.0925942i
$838$	12.5933	−	26.0946i	0.435028	−	0.901424i
$839$	−7.69905	+	13.3352i	−0.265801	+	0.460381i	−0.967773	−	0.251824i	$-0.918970\pi$
$839$	−7.69905	+	13.3352i	−0.265801	+	0.460381i	0.701972	+	0.712204i	$0.252303\pi$
$840$	0.832225	+	3.51076i	0.0287145	+	0.121133i
$841$	−1.42891	−	2.47494i	−0.0492726	−	0.0853427i
$842$	28.5581	−	2.11623i	0.984178	−	0.0729302i
$843$	−22.6205	−	34.3212i	−0.779092	−	1.18209i
$844$	−1.49106	−	10.0056i	−0.0513245	−	0.344406i
$845$	3.50008	−	2.02077i	0.120406	−	0.0695167i
$846$	38.8156	+	13.3544i	1.33451	+	0.459134i
$847$	23.6587	−	12.1764i	0.812921	−	0.418387i
$848$	−10.9810	−	36.0250i	−0.377090	−	1.23710i
$849$	27.2871	+	13.6714i	0.936489	+	0.469201i
$850$	6.99678	−	4.76180i	0.239988	−	0.163328i
$851$		−	17.2189i		−	0.590257i
$852$	−14.8559	−	16.5780i	−0.508955	−	0.567952i
$853$	10.2603	+	5.92376i	0.351304	+	0.202826i	0.665260	−	0.746612i	$-0.268321\pi$
$853$	10.2603	+	5.92376i	0.351304	+	0.202826i	−0.313955	+	0.949438i	$0.601654\pi$
$854$	−1.03589	−	40.3236i	−0.0354475	−	1.37985i
$855$	−0.562478	−	0.752527i	−0.0192363	−	0.0257359i
$856$	5.32790	+	5.77095i	0.182104	+	0.197247i
$857$	−10.6455	−	18.4386i	−0.363644	−	0.629851i	0.624913	−	0.780694i	$-0.285134\pi$
$857$	−10.6455	−	18.4386i	−0.363644	−	0.629851i	−0.988558	+	0.150844i	$0.951801\pi$
$858$	11.5389	+	4.74982i	0.393931	+	0.162156i
$859$	−37.6765	−	21.7526i	−1.28551	−	0.742188i	−0.307657	−	0.951497i	$-0.599545\pi$
$859$	−37.6765	−	21.7526i	−1.28551	−	0.742188i	−0.977849	+	0.209309i	$0.932878\pi$
$860$	−1.32118	+	0.196887i	−0.0450520	+	0.00671381i
$861$	1.12320	+	0.632327i	0.0382784	+	0.0215497i
$862$	3.71294	+	50.1054i	0.126463	+	1.70660i
$863$	14.7184	+	25.4930i	0.501019	+	0.867790i	0.999999	+	0.00117691i	$0.000374623\pi$
$863$	14.7184	+	25.4930i	0.501019	+	0.867790i	−0.498980	+	0.866613i	$0.666292\pi$
$864$	29.3857	−	0.694876i	0.999721	−	0.0236402i
$865$	−0.251798	+	0.436127i	−0.00856139	+	0.0148288i
$866$	35.8937	−	24.4282i	1.21972	−	0.830104i
$867$	−26.8378	+	1.58890i	−0.911460	+	0.0539619i
$868$	12.5519	−	9.02262i	0.426038	−	0.306248i
$869$	0.544536	−	0.314388i	0.0184721	−	0.0106649i
$870$	2.76119	−	2.12841i	0.0936131	−	0.0721600i
$871$	16.2079	+	28.0729i	0.549184	+	0.951214i
$872$	−5.95638	+	19.1403i	−0.201709	+	0.648172i
$873$	−45.5398	+	5.41122i	−1.54129	+	0.183142i
$874$	3.05791	+	4.49316i	0.103435	+	0.151983i
$875$	−3.95512	+	6.14505i	−0.133707	+	0.207740i
$876$	32.2038	−	6.76540i	1.08807	−	0.228582i
$877$	−17.9924	−	10.3879i	−0.607561	−	0.350775i	0.164449	−	0.986386i	$-0.447415\pi$
$877$	−17.9924	−	10.3879i	−0.607561	−	0.350775i	−0.772010	+	0.635610i	$0.780749\pi$
$878$	0.701292	−	0.477278i	0.0236675	−	0.0161074i
$879$	1.69615	+	28.6493i	0.0572096	+	0.966316i
$880$	0.790189	+	0.738099i	0.0266373	+	0.0248813i
$881$	28.3252			0.954302			0.477151	−	0.878821i	$-0.341669\pi$
$881$	28.3252			0.954302			0.477151	+	0.878821i	$0.341669\pi$
$882$	2.83692	+	29.5627i	0.0955239	+	0.995427i
$883$		−	6.38453i		−	0.214857i	−0.994213	−	0.107428i	$-0.965738\pi$
$883$		−	6.38453i		−	0.214857i	0.994213	−	0.107428i	$-0.0342616\pi$
$884$	−11.8657	−	4.67978i	−0.399088	−	0.157398i
$885$	−0.369804	−	0.561089i	−0.0124308	−	0.0188608i
$886$	−26.6277	−	39.1256i	−0.894574	−	1.31445i
$887$	15.8777	−	27.5010i	0.533121	−	0.923393i	−0.466131	−	0.884716i	$-0.654352\pi$
$887$	15.8777	−	27.5010i	0.533121	−	0.923393i	0.999252	−	0.0386770i	$-0.0123143\pi$
$888$	−23.7250	+	6.84887i	−0.796159	+	0.229833i
$889$	−37.6858	−	24.2556i	−1.26394	−	0.813507i
$890$	3.31256	+	4.86733i	0.111037	+	0.163153i
$891$	−2.04810	−	8.49653i	−0.0686140	−	0.284645i
$892$	14.1404	+	17.7921i	0.473454	+	0.595725i
$893$	9.42660	−	5.44245i	0.315449	−	0.182125i
$894$	−2.40498	+	5.84250i	−0.0804347	+	0.195403i
$895$	2.54497	+	4.40802i	0.0850690	+	0.147344i
$896$	−26.6945	+	13.5427i	−0.891800	+	0.452430i
$897$	27.7502	+	13.9034i	0.926552	+	0.464222i
$898$	46.3683	−	31.5569i	1.54733	−	1.05307i
$899$	−12.9355	−	7.46830i	−0.431422	−	0.249082i
$900$	20.9762	+	20.7923i	0.699208	+	0.693075i
$901$	9.91316	−	5.72337i	0.330255	−	0.190673i
$902$	0.385228	−	0.0285464i	0.0128267	−	0.000950491i
$903$	−10.9943	+	0.119306i	−0.365868	+	0.00397026i
$904$	12.9665	−	11.9710i	0.431258	−	0.398149i
$905$	2.24376	−	3.88630i	0.0745851	−	0.129185i
$906$	−2.74561	+	2.11641i	−0.0912168	+	0.0703129i
$907$	−20.2508	+	11.6918i	−0.672415	+	0.388219i	−0.796991	−	0.603991i	$-0.793576\pi$
$907$	−20.2508	+	11.6918i	−0.672415	+	0.388219i	0.124576	+	0.992210i	$0.460243\pi$
$908$	0.249923	+	1.67707i	0.00829400	+	0.0556557i
$909$	44.2107	+	18.9703i	1.46638	+	0.629206i
$910$	5.46202	−	0.140317i	0.181064	−	0.00465145i
$911$	−2.19779	+	3.80668i	−0.0728159	+	0.126121i	−0.900134	−	0.435612i	$-0.856532\pi$
$911$	−2.19779	+	3.80668i	−0.0728159	+	0.126121i	0.827318	+	0.561733i	$0.189865\pi$
$912$	4.97459	−	6.00049i	0.164725	−	0.198696i
$913$	11.9740			0.396281
$914$	45.6147	−	31.0440i	1.50880	−	1.02684i
$915$	2.86038	+	4.33995i	0.0945614	+	0.143474i
$916$	3.40773	−	2.70831i	0.112595	−	0.0894849i
$917$	14.1872	+	27.5656i	0.468502	+	0.910295i
$918$	2.22216	+	8.65313i	0.0733421	+	0.285596i
$919$	10.4548	+	18.1083i	0.344872	+	0.597336i	0.985331	−	0.170657i	$-0.0545889\pi$
$919$	10.4548	+	18.1083i	0.344872	+	0.597336i	−0.640458	+	0.767993i	$0.721256\pi$
$920$	1.82446	+	1.97618i	0.0601507	+	0.0651526i
$921$	−41.2723	−	20.6783i	−1.35997	−	0.681372i
$922$	−23.4596	+	1.73842i	−0.772600	+	0.0572517i
$923$	−29.1936	+	16.8549i	−0.960920	+	0.554787i
$924$	5.61292	+	6.90724i	0.184651	+	0.227232i
$925$	−21.4882	−	12.4062i	−0.706527	−	0.407914i
$926$	47.2231	+	22.7899i	1.55185	+	0.748922i
$927$	−41.6891	+	4.95366i	−1.36925	+	0.162700i
$928$	22.5378	+	18.1273i	0.739839	+	0.595057i
$929$	1.60778			0.0527496			0.0263748	−	0.999652i	$-0.491604\pi$
$929$	1.60778			0.0527496			0.0263748	+	0.999652i	$0.491604\pi$
$930$	−0.758225	+	1.84198i	−0.0248632	+	0.0604010i
$931$	6.40866	+	4.57681i	0.210035	+	0.149999i
$932$	20.5657	−	3.06477i	0.673651	−	0.100390i
$933$	6.81239	−	13.5970i	0.223028	−	0.445146i
$934$	−12.1505	+	25.1771i	−0.397575	+	0.823819i
$935$	−0.164322	+	0.284615i	−0.00537392	+	0.00930790i
$936$	8.11907	−	43.7656i	0.265380	−	1.43052i
$937$	−14.7911			−0.483205			−0.241602	−	0.970375i	$-0.577673\pi$
$937$	−14.7911			−0.483205			−0.241602	+	0.970375i	$0.577673\pi$
$938$	0.593770	+	23.1134i	0.0193873	+	0.754678i
$939$	−11.3228	+	22.5994i	−0.369504	+	0.737502i
$940$	4.21697	−	3.35145i	0.137542	−	0.109312i
$941$			14.0874i			0.459235i	0.973281	+	0.229617i	$0.0737475\pi$
$941$			14.0874i			0.459235i	−0.973281	+	0.229617i	$0.926253\pi$
$942$	29.0177	−	3.88529i	0.945448	−	0.126590i
$943$	0.960842			0.0312893
$944$	3.80556	−	4.07413i	0.123860	−	0.132601i
$945$	−2.32428	−	3.04024i	−0.0756087	−	0.0988990i
$946$	−2.72405	+	1.85391i	−0.0885665	+	0.0602757i
$947$			11.8383i			0.384693i	0.981327	+	0.192346i	$0.0616097\pi$
$947$			11.8383i			0.384693i	−0.981327	+	0.192346i	$0.938390\pi$
$948$	−1.49688	−	1.67040i	−0.0486165	−	0.0542522i
$949$		−	49.8321i		−	1.61762i
$950$	7.81041	−	0.578772i	0.253403	−	0.0187778i
$951$	−35.1939	−	17.6329i	−1.14124	−	0.571786i
$952$	−5.84161	−	6.97470i	−0.189328	−	0.226051i
$953$	−7.24631			−0.234731			−0.117365	−	0.993089i	$-0.537445\pi$
$953$	−7.24631			−0.234731			−0.117365	+	0.993089i	$0.537445\pi$
$954$	26.2145	+	30.1411i	0.848725	+	0.975853i
$955$	4.79714	+	2.76963i	0.155232	+	0.0896232i
$956$	−39.5646	+	5.89606i	−1.27961	+	0.190692i
$957$	3.85229	−	7.68888i	0.124527	−	0.248546i
$958$	26.0886	+	12.5904i	0.842883	+	0.406776i
$959$	−2.73869	+	56.6769i	−0.0884370	+	1.83019i
$960$	1.99718	−	3.29986i	0.0644588	−	0.106502i
$961$	−22.4658			−0.724704
$962$	2.76348	+	37.2926i	0.0890980	+	1.20236i
$963$	−7.65575	−	3.28500i	−0.246703	−	0.105858i
$964$	58.5288	−	8.72216i	1.88508	−	0.280922i
$965$	−1.54107	−	0.889736i	−0.0496087	−	0.0286416i
$966$	12.6537	+	18.1658i	0.407126	+	0.584476i
$967$	−2.82714	−	4.89676i	−0.0909149	−	0.157469i	0.816981	−	0.576664i	$-0.195646\pi$
$967$	−2.82714	−	4.89676i	−0.0909149	−	0.157469i	−0.907896	+	0.419195i	$0.862312\pi$
$968$	−27.1606	−	8.45228i	−0.872975	−	0.271667i
$969$	2.11804	+	1.06118i	0.0680412	+	0.0340901i
$970$	−2.61560	+	5.41980i	−0.0839818	+	0.174019i
$971$	−52.8425	+	30.5086i	−1.69580	+	0.979068i	−0.746131	+	0.665799i	$0.768091\pi$
$971$	−52.8425	+	30.5086i	−1.69580	+	0.979068i	−0.949665	+	0.313269i	$0.898576\pi$
$972$	−28.1593	+	13.3812i	−0.903209	+	0.429201i
$973$	−30.7093	−	1.48391i	−0.984496	−	0.0475720i
$974$	0.268181	+	3.61905i	0.00859308	+	0.115962i
$975$	37.3446	−	24.6132i	1.19599	−	0.788253i
$976$	−29.4355	+	31.5128i	−0.942208	+	1.00870i
$977$	−16.4571			−0.526511			−0.263255	−	0.964726i	$-0.584796\pi$
$977$	−16.4571			−0.526511			−0.263255	+	0.964726i	$0.584796\pi$
$978$	36.4840	+	47.3307i	1.16663	+	1.51347i
$979$	12.5777	+	7.26171i	0.401984	+	0.232085i
$980$	3.47062	+	1.77271i	0.110865	+	0.0566272i
$981$	−2.50875	−	21.1131i	−0.0800981	−	0.674090i
$982$	3.43680	−	7.12141i	0.109673	−	0.227253i
$983$	−13.8574	−	24.0017i	−0.441982	−	0.765534i	0.555855	−	0.831279i	$-0.312391\pi$
$983$	−13.8574	−	24.0017i	−0.441982	−	0.765534i	−0.997836	+	0.0657448i	$0.979058\pi$
$984$	−0.382178	−	1.32389i	−0.0121834	−	0.0422042i
$985$	−3.43973	+	5.95778i	−0.109599	+	0.189831i
$986$	−3.82080	+	7.91710i	−0.121679	+	0.252132i
$987$	38.1547	−	22.5842i	1.21448	−	0.718862i
$988$	−7.34390	−	9.24048i	−0.233641	−	0.293979i
$989$	−7.09804	+	4.09806i	−0.225705	+	0.130311i
$990$	−1.08449	−	0.373116i	−0.0344674	−	0.0118584i
$991$	−16.2047	+	28.0673i	−0.514758	+	0.891588i	0.485095	+	0.874461i	$0.338785\pi$
$991$	−16.2047	+	28.0673i	−0.514758	+	0.891588i	−0.999853	+	0.0171262i	$0.994548\pi$
$992$	−16.3306	−	2.53100i	−0.518496	−	0.0803593i
$993$	16.0182	+	8.02546i	0.508323	+	0.254680i
$994$	−24.0361	+	0.617474i	−0.762379	+	0.0195851i
$995$	−0.561229	+	0.324026i	−0.0177921	+	0.0102723i
$996$	−8.78160	−	41.8011i	−0.278256	−	1.32452i
$997$	3.00306	−	1.73381i	0.0951077	−	0.0549105i	−0.451692	−	0.892174i	$-0.649179\pi$
$997$	3.00306	−	1.73381i	0.0951077	−	0.0549105i	0.546800	+	0.837264i	$0.315846\pi$
$998$	−20.0495	+	1.48572i	−0.634655	+	0.0470296i
$999$	20.0156	−	16.8933i	0.633266	−	0.534479i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.18	yes	184
7.2	even	3		504.2.w.a.205.78	yes	184
8.5	even	2	inner	504.2.cq.a.277.17	yes	184
9.4	even	3		504.2.w.a.445.44	yes	184
56.37	even	6		504.2.w.a.205.44	✓	184
63.58	even	3	inner	504.2.cq.a.373.18	yes	184
72.13	even	6		504.2.w.a.445.78	yes	184
504.373	even	6	inner	504.2.cq.a.373.17	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.44	✓	184	56.37	even	6
504.2.w.a.205.78	yes	184	7.2	even	3
504.2.w.a.445.44	yes	184	9.4	even	3
504.2.w.a.445.78	yes	184	72.13	even	6
504.2.cq.a.277.17	yes	184	8.5	even	2	inner
504.2.cq.a.277.18	yes	184	1.1	even	1	trivial
504.2.cq.a.373.17	yes	184	504.373	even	6	inner
504.2.cq.a.373.18	yes	184	63.58	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.16914 + 0.795682i) q^{2} +(-0.775861 + 1.54856i) q^{3} +(0.733781 - 1.86053i) q^{4} +(0.241073 + 0.139184i) q^{5} +(-0.325070 - 2.42782i) q^{6} +(-2.22477 - 1.43192i) q^{7} +(0.622496 + 2.75908i) q^{8} +(-1.79608 - 2.40294i) q^{9} +O(q^{10})\)	\(q+(-1.16914 + 0.795682i) q^{2} +(-0.775861 + 1.54856i) q^{3} +(0.733781 - 1.86053i) q^{4} +(0.241073 + 0.139184i) q^{5} +(-0.325070 - 2.42782i) q^{6} +(-2.22477 - 1.43192i) q^{7} +(0.622496 + 2.75908i) q^{8} +(-1.79608 - 2.40294i) q^{9} +(-0.392595 + 0.0290923i) q^{10} +(-0.840997 + 0.485550i) q^{11} +(2.31183 + 2.57982i) q^{12} +(4.54302 - 2.62292i) q^{13} +(3.74042 - 0.0960895i) q^{14} +(-0.402574 + 0.265329i) q^{15} +(-2.92313 - 2.73044i) q^{16} +(0.607875 - 1.05287i) q^{17} +(4.01184 + 1.38026i) q^{18} +(0.974298 - 0.562511i) q^{19} +(0.435850 - 0.346393i) q^{20} +(3.94353 - 2.33422i) q^{21} +(0.596901 - 1.23684i) q^{22} +(1.70802 - 2.95838i) q^{23} +(-4.75557 - 1.17669i) q^{24} +(-2.46126 - 4.26302i) q^{25} +(-3.22443 + 6.68136i) q^{26} +(5.11460 - 0.916992i) q^{27} +(-4.29663 + 3.08853i) q^{28} +(4.42794 + 2.55647i) q^{29} +(0.259548 - 0.630528i) q^{30} -2.92133 q^{31} +(5.59011 + 0.866385i) q^{32} +(-0.0994063 - 1.67905i) q^{33} +(0.127058 + 1.71463i) q^{34} +(-0.337032 - 0.654850i) q^{35} +(-5.78866 + 1.57843i) q^{36} +(4.36529 - 2.52030i) q^{37} +(-0.691512 + 1.43289i) q^{38} +(0.536988 + 9.07016i) q^{39} +(-0.233951 + 0.751781i) q^{40} +(0.140637 + 0.243590i) q^{41} +(-2.75325 + 5.86682i) q^{42} +(-2.07785 - 1.19965i) q^{43} +(0.286272 + 1.92099i) q^{44} +(-0.0985371 - 0.829269i) q^{45} +(0.357012 + 4.81781i) q^{46} +9.67527 q^{47} +(6.49620 - 2.40820i) q^{48} +(2.89920 + 6.37139i) q^{49} +(6.26956 + 3.02569i) q^{50} +(1.15881 + 1.75821i) q^{51} +(-1.54643 - 10.3771i) q^{52} +(8.15394 + 4.70768i) q^{53} +(-5.25005 + 5.14169i) q^{54} -0.270323 q^{55} +(2.56587 - 7.02967i) q^{56} +(0.115163 + 1.94519i) q^{57} +(-7.21102 + 0.534355i) q^{58} +1.39375i q^{59} +(0.198252 + 0.943694i) q^{60} -10.7805i q^{61} +(3.41545 - 2.32445i) q^{62} +(0.555043 + 7.91782i) q^{63} +(-7.22500 + 3.43503i) q^{64} +1.46027 q^{65} +(1.45221 + 1.88395i) q^{66} +6.17935i q^{67} +(-1.51285 - 1.90355i) q^{68} +(3.25604 + 4.94027i) q^{69} +(0.915091 + 0.497442i) q^{70} -6.42604 q^{71} +(5.51183 - 6.45134i) q^{72} +(4.74969 - 8.22670i) q^{73} +(-3.09828 + 6.41997i) q^{74} +(8.51114 - 0.503891i) q^{75} +(-0.331647 - 2.22547i) q^{76} +(2.56629 + 0.124006i) q^{77} +(-7.84478 - 10.1770i) q^{78} -0.647489 q^{79} +(-0.324656 - 1.06509i) q^{80} +(-2.54820 + 8.63172i) q^{81} +(-0.358244 - 0.172889i) q^{82} +(-10.6784 - 6.16517i) q^{83} +(-1.44919 - 9.04985i) q^{84} +(0.293085 - 0.169213i) q^{85} +(3.38384 - 0.250752i) q^{86} +(-7.39432 + 4.87346i) q^{87} +(-1.86319 - 2.01812i) q^{88} +(-7.47783 - 12.9520i) q^{89} +(0.775038 + 0.891128i) q^{90} +(-13.8630 - 0.669875i) q^{91} +(-4.25084 - 5.34863i) q^{92} +(2.26655 - 4.52386i) q^{93} +(-11.3118 + 7.69844i) q^{94} +0.313170 q^{95} +(-5.67880 + 7.98443i) q^{96} +(7.64336 - 13.2387i) q^{97} +(-8.45917 - 5.14222i) q^{98} +(2.67724 + 1.14878i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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