LMFDB - Embedded newform 504.2.bt.a.11.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(11,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 3, 1, 4]))

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

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

chi := DirichletCharacter("504.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bt (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			11.16
Character	$\chi$	$=$	504.11
Dual form			504.2.bt.a.275.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.21905 + 0.716886i) q^{2} +(-0.0776217 + 1.73031i) q^{3} +(0.972150 - 1.74783i) q^{4} +(0.664172 - 1.15038i) q^{5} +(-1.14581 - 2.16498i) q^{6} +(-2.29630 - 1.31415i) q^{7} +(0.0679007 + 2.82761i) q^{8} +(-2.98795 - 0.268619i) q^{9} +O(q^{10})$	\(q+(-1.21905 + 0.716886i) q^{2} +(-0.0776217 + 1.73031i) q^{3} +(0.972150 - 1.74783i) q^{4} +(0.664172 - 1.15038i) q^{5} +(-1.14581 - 2.16498i) q^{6} +(-2.29630 - 1.31415i) q^{7} +(0.0679007 + 2.82761i) q^{8} +(-2.98795 - 0.268619i) q^{9} +(0.0150339 + 1.87850i) q^{10} +(4.10105 - 2.36775i) q^{11} +(2.94884 + 1.81779i) q^{12} +(-2.06388 + 1.19158i) q^{13} +(3.74140 - 0.0441726i) q^{14} +(1.93896 + 1.23852i) q^{15} +(-2.10985 - 3.39831i) q^{16} +(-3.72731 - 2.15196i) q^{17} +(3.83502 - 1.81456i) q^{18} +(-4.21058 - 7.29294i) q^{19} +(-1.36500 - 2.27920i) q^{20} +(2.45213 - 3.87131i) q^{21} +(-3.30198 + 5.82638i) q^{22} +(3.03529 - 5.25728i) q^{23} +(-4.89792 - 0.101995i) q^{24} +(1.61775 + 2.80203i) q^{25} +(1.66174 - 2.93216i) q^{26} +(0.696725 - 5.14923i) q^{27} +(-4.52927 + 2.73600i) q^{28} +(0.915021 - 1.58486i) q^{29} +(-3.25156 - 0.119799i) q^{30} -0.796043i q^{31} +(5.00821 + 2.63018i) q^{32} +(3.77860 + 7.27989i) q^{33} +(6.08647 - 0.0487108i) q^{34} +(-3.03691 + 1.76880i) q^{35} +(-3.37424 + 4.96130i) q^{36} +(-9.15231 + 5.28409i) q^{37} +(10.3611 + 5.87193i) q^{38} +(-1.90161 - 3.66365i) q^{39} +(3.29793 + 1.79991i) q^{40} +(5.59599 - 3.23085i) q^{41} +(-0.213981 + 6.47721i) q^{42} +(2.62112 - 4.53992i) q^{43} +(-0.151585 - 9.46977i) q^{44} +(-2.29353 + 3.25887i) q^{45} +(0.0687054 + 8.58482i) q^{46} +6.32328 q^{47} +(6.04391 - 3.38691i) q^{48} +(3.54601 + 6.03538i) q^{49} +(-3.98085 - 2.25606i) q^{50} +(4.01288 - 6.28236i) q^{51} +(0.0762861 + 4.76572i) q^{52} +(-2.30165 + 3.98657i) q^{53} +(2.84207 + 6.77662i) q^{54} -6.29036i q^{55} +(3.55999 - 6.58228i) q^{56} +(12.9459 - 6.71952i) q^{57} +(0.0207120 + 2.58799i) q^{58} +0.605574i q^{59} +(4.04968 - 2.18495i) q^{60} -15.2119i q^{61} +(0.570672 + 0.970414i) q^{62} +(6.50823 + 4.54345i) q^{63} +(-7.99078 + 0.383994i) q^{64} +3.16566i q^{65} +(-9.82514 - 6.16570i) q^{66} +2.03323 q^{67} +(-7.38478 + 4.42269i) q^{68} +(8.86112 + 5.66007i) q^{69} +(2.43412 - 4.33336i) q^{70} +3.22060 q^{71} +(0.556667 - 8.46700i) q^{72} +(2.69600 - 4.66961i) q^{73} +(7.36900 - 13.0027i) q^{74} +(-4.97395 + 2.58171i) q^{75} +(-16.8402 + 0.269565i) q^{76} +(-12.5288 + 0.0476466i) q^{77} +(4.94456 + 3.10293i) q^{78} +12.3673i q^{79} +(-5.31065 + 0.170062i) q^{80} +(8.85569 + 1.60524i) q^{81} +(-4.50563 + 7.95024i) q^{82} +(-1.66413 - 0.960785i) q^{83} +(-4.38256 - 8.04942i) q^{84} +(-4.95115 + 2.85855i) q^{85} +(0.0593305 + 7.41342i) q^{86} +(2.67128 + 1.70629i) q^{87} +(6.97353 + 11.4354i) q^{88} +(-10.3733 + 5.98905i) q^{89} +(0.459681 - 5.61691i) q^{90} +(6.30522 - 0.0239785i) q^{91} +(-6.23809 - 10.4160i) q^{92} +(1.37740 + 0.0617902i) q^{93} +(-7.70837 + 4.53307i) q^{94} -11.1862 q^{95} +(-4.93978 + 8.46159i) q^{96} +(-0.916538 + 1.58749i) q^{97} +(-8.64943 - 4.81533i) q^{98} +(-12.8898 + 5.97308i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.21905	+	0.716886i	−0.861996	+	0.506915i
$2$	−1.21905	+	0.716886i	−0.861996	+	0.506915i
$3$	−0.0776217	+	1.73031i	−0.0448149	+	0.998995i
$3$	−0.0776217	+	1.73031i	−0.0448149	+	0.998995i
$4$	0.972150	−	1.74783i	0.486075	−	0.873917i
$5$	0.664172	−	1.15038i	0.297027	−	0.514465i	−0.678428	−	0.734667i	$-0.737338\pi$
$5$	0.664172	−	1.15038i	0.297027	−	0.514465i	0.975454	+	0.220202i	$0.0706716\pi$
$6$	−1.14581	−	2.16498i	−0.467775	−	0.883848i
$7$	−2.29630	−	1.31415i	−0.867921	−	0.496703i
$7$	−2.29630	−	1.31415i	−0.867921	−	0.496703i
$8$	0.0679007	+	2.82761i	0.0240065	+	0.999712i
$9$	−2.98795	−	0.268619i	−0.995983	−	0.0895398i
$10$	0.0150339	+	1.87850i	0.00475413	+	0.594035i
$11$	4.10105	−	2.36775i	1.23651	−	0.713902i	0.268134	−	0.963382i	$-0.413593\pi$
$11$	4.10105	−	2.36775i	1.23651	−	0.713902i	0.968380	+	0.249480i	$0.0802595\pi$
$12$	2.94884	+	1.81779i	0.851256	+	0.524751i
$13$	−2.06388	+	1.19158i	−0.572418	+	0.330486i	−0.758114	−	0.652122i	$-0.773879\pi$
$13$	−2.06388	+	1.19158i	−0.572418	+	0.330486i	0.185697	+	0.982607i	$0.440546\pi$
$14$	3.74140	−	0.0441726i	0.999930	−	0.0118056i
$15$	1.93896	+	1.23852i	0.500637	+	0.319784i
$16$	−2.10985	−	3.39831i	−0.527462	−	0.849579i
$17$	−3.72731	−	2.15196i	−0.904005	−	0.521928i	−0.0255077	−	0.999675i	$-0.508120\pi$
$17$	−3.72731	−	2.15196i	−0.904005	−	0.521928i	−0.878497	+	0.477747i	$0.841454\pi$
$18$	3.83502	−	1.81456i	0.903923	−	0.427696i
$19$	−4.21058	−	7.29294i	−0.965974	−	1.67312i	−0.706976	−	0.707238i	$-0.749941\pi$
$19$	−4.21058	−	7.29294i	−0.965974	−	1.67312i	−0.258998	−	0.965878i	$-0.583392\pi$
$20$	−1.36500	−	2.27920i	−0.305223	−	0.509646i
$21$	2.45213	−	3.87131i	0.535100	−	0.844789i
$22$	−3.30198	+	5.82638i	−0.703983	+	1.24219i
$23$	3.03529	−	5.25728i	0.632902	−	1.09622i	−0.354054	−	0.935225i	$-0.615197\pi$
$23$	3.03529	−	5.25728i	0.632902	−	1.09622i	0.986956	−	0.160993i	$-0.0514697\pi$
$24$	−4.89792	−	0.101995i	−0.999783	−	0.0208196i
$25$	1.61775	+	2.80203i	0.323550	+	0.560405i
$26$	1.66174	−	2.93216i	0.325894	−	0.575044i
$27$	0.696725	−	5.14923i	0.134085	−	0.990970i
$28$	−4.52927	+	2.73600i	−0.855952	+	0.517056i
$29$	0.915021	−	1.58486i	0.169915	−	0.294302i	−0.768475	−	0.639880i	$-0.778984\pi$
$29$	0.915021	−	1.58486i	0.169915	−	0.294302i	0.938390	+	0.345579i	$0.112317\pi$
$30$	−3.25156	−	0.119799i	−0.593651	−	0.0218723i
$31$		−	0.796043i		−	0.142974i	−0.997442	−	0.0714868i	$-0.977226\pi$
$31$		−	0.796043i		−	0.142974i	0.997442	−	0.0714868i	$-0.0227744\pi$
$32$	5.00821	+	2.63018i	0.885334	+	0.464955i
$33$	3.77860	+	7.27989i	0.657770	+	1.26727i
$34$	6.08647	−	0.0487108i	1.04382	−	0.00835383i
$35$	−3.03691	+	1.76880i	−0.513332	+	0.298981i
$36$	−3.37424	+	4.96130i	−0.562373	+	0.826884i
$37$	−9.15231	+	5.28409i	−1.50463	+	0.868698i	−0.504644	+	0.863327i	$0.668376\pi$
$37$	−9.15231	+	5.28409i	−1.50463	+	0.868698i	−0.999986	+	0.00537117i	$0.998290\pi$
$38$	10.3611	+	5.87193i	1.68079	+	0.952553i
$39$	−1.90161	−	3.66365i	−0.304501	−	0.586653i
$40$	3.29793	+	1.79991i	0.521448	+	0.284591i
$41$	5.59599	−	3.23085i	0.873947	−	0.504574i	0.00528916	−	0.999986i	$-0.498316\pi$
$41$	5.59599	−	3.23085i	0.873947	−	0.504574i	0.868658	+	0.495412i	$0.164983\pi$
$42$	−0.213981	+	6.47721i	−0.0330180	+	0.999455i
$43$	2.62112	−	4.53992i	0.399718	−	0.692331i	−0.593973	−	0.804485i	$-0.702441\pi$
$43$	2.62112	−	4.53992i	0.399718	−	0.692331i	0.993691	+	0.112153i	$0.0357748\pi$
$44$	−0.151585	−	9.46977i	−0.0228523	−	1.42762i
$45$	−2.29353	+	3.25887i	−0.341899	+	0.485803i
$46$	0.0687054	+	8.58482i	0.0101301	+	1.26576i
$47$	6.32328			0.922345			0.461173	−	0.887310i	$-0.347429\pi$
$47$	6.32328			0.922345			0.461173	+	0.887310i	$0.347429\pi$
$48$	6.04391	−	3.38691i	0.872363	−	0.488858i
$49$	3.54601	+	6.03538i	0.506572	+	0.862197i
$50$	−3.98085	−	2.25606i	−0.562977	−	0.319055i
$51$	4.01288	−	6.28236i	0.561916	−	0.879707i
$52$	0.0762861	+	4.76572i	0.0105790	+	0.660886i
$53$	−2.30165	+	3.98657i	−0.316155	+	0.547597i	−0.979682	−	0.200555i	$-0.935725\pi$
$53$	−2.30165	+	3.98657i	−0.316155	+	0.547597i	0.663527	+	0.748152i	$0.269059\pi$
$54$	2.84207	+	6.77662i	0.386757	+	0.922182i
$55$		−	6.29036i		−	0.848192i
$56$	3.55999	−	6.58228i	0.475724	−	0.879595i
$57$	12.9459	−	6.71952i	1.71472	−	0.890023i
$58$	0.0207120	+	2.58799i	0.00271961	+	0.339819i
$59$			0.605574i			0.0788390i	0.999223	+	0.0394195i	$0.0125509\pi$
$59$			0.605574i			0.0788390i	−0.999223	+	0.0394195i	$0.987449\pi$
$60$	4.04968	−	2.18495i	0.522812	−	0.282076i
$61$		−	15.2119i		−	1.94768i	−0.227236	−	0.973840i	$-0.572969\pi$
$61$		−	15.2119i		−	1.94768i	0.227236	−	0.973840i	$-0.427031\pi$
$62$	0.570672	+	0.970414i	0.0724754	+	0.123243i
$63$	6.50823	+	4.54345i	0.819960	+	0.572421i
$64$	−7.99078	+	0.383994i	−0.998847	+	0.0479992i
$65$			3.16566i			0.392652i
$66$	−9.82514	−	6.16570i	−1.20939	−	0.758945i
$67$	2.03323			0.248398			0.124199	−	0.992257i	$-0.460364\pi$
$67$	2.03323			0.248398			0.124199	+	0.992257i	$0.460364\pi$
$68$	−7.38478	+	4.42269i	−0.895536	+	0.536330i
$69$	8.86112	+	5.66007i	1.06675	+	0.681393i
$70$	2.43412	−	4.33336i	0.290932	−	0.517936i
$71$	3.22060			0.382214			0.191107	−	0.981569i	$-0.438792\pi$
$71$	3.22060			0.382214			0.191107	+	0.981569i	$0.438792\pi$
$72$	0.556667	−	8.46700i	0.0656039	−	0.997846i
$73$	2.69600	−	4.66961i	0.315543	−	0.546536i	−0.664010	−	0.747724i	$-0.731147\pi$
$73$	2.69600	−	4.66961i	0.315543	−	0.546536i	0.979553	+	0.201188i	$0.0644801\pi$
$74$	7.36900	−	13.0027i	0.856629	−	1.51153i
$75$	−4.97395	+	2.58171i	−0.574342	+	0.298111i
$76$	−16.8402	+	0.269565i	−1.93170	+	0.0309212i
$77$	−12.5288	+	0.0476466i	−1.42779	+	0.00542984i
$78$	4.94456	+	3.10293i	0.559862	+	0.351337i
$79$			12.3673i			1.39143i	0.718317	+	0.695716i	$0.244913\pi$
$79$			12.3673i			1.39143i	−0.718317	+	0.695716i	$0.755087\pi$
$80$	−5.31065	+	0.170062i	−0.593749	+	0.0190135i
$81$	8.85569	+	1.60524i	0.983965	+	0.178360i
$82$	−4.50563	+	7.95024i	−0.497563	+	0.877957i
$83$	−1.66413	−	0.960785i	−0.182662	−	0.105460i	0.405881	−	0.913926i	$-0.366965\pi$
$83$	−1.66413	−	0.960785i	−0.182662	−	0.105460i	−0.588543	+	0.808466i	$0.700298\pi$
$84$	−4.38256	−	8.04942i	−0.478177	−	0.878264i
$85$	−4.95115	+	2.85855i	−0.537027	+	0.310053i
$86$	0.0593305	+	7.41342i	0.00639777	+	0.799410i
$87$	2.67128	+	1.70629i	0.286391	+	0.182933i
$88$	6.97353	+	11.4354i	0.743381	+	1.21902i
$89$	−10.3733	+	5.98905i	−1.09957	+	0.634838i	−0.936108	−	0.351712i	$-0.885600\pi$
$89$	−10.3733	+	5.98905i	−1.09957	+	0.634838i	−0.163463	+	0.986550i	$0.552266\pi$
$90$	0.459681	−	5.61691i	0.0484547	−	0.592074i
$91$	6.30522	−	0.0239785i	0.660966	−	0.00251363i
$92$	−6.23809	−	10.4160i	−0.650366	−	1.08595i
$93$	1.37740	+	0.0617902i	0.142830	+	0.00640735i
$94$	−7.70837	+	4.53307i	−0.795058	+	0.467550i
$95$	−11.1862			−1.14768
$96$	−4.93978	+	8.46159i	−0.504164	+	0.863608i
$97$	−0.916538	+	1.58749i	−0.0930604	+	0.161185i	−0.908797	−	0.417238i	$-0.862998\pi$
$97$	−0.916538	+	1.58749i	−0.0930604	+	0.161185i	0.815737	+	0.578423i	$0.196332\pi$
$98$	−8.64943	−	4.81533i	−0.873724	−	0.486422i
$99$	−12.8898	+	5.97308i	−1.29547	+	0.600317i
$100$	6.47018	−	0.103570i	0.647018	−	0.0103570i
$101$	1.07130	+	1.85555i	0.106599	+	0.184634i	0.914390	−	0.404834i	$-0.132671\pi$
$101$	1.07130	+	1.85555i	0.106599	+	0.184634i	−0.807792	+	0.589468i	$0.799337\pi$
$102$	−0.388158	+	10.5353i	−0.0384333	+	1.04315i
$103$	−12.5515	−	7.24663i	−1.23674	−	0.714031i	−0.268313	−	0.963332i	$-0.586466\pi$
$103$	−12.5515	−	7.24663i	−1.23674	−	0.714031i	−0.968426	+	0.249300i	$0.919799\pi$
$104$	−3.50947	−	5.75495i	−0.344132	−	0.564319i
$105$	−2.82484	−	5.39210i	−0.275676	−	0.526215i
$106$	−0.0520989	−	6.50983i	−0.00506030	−	0.632290i
$107$	−4.30241	+	2.48400i	−0.415930	+	0.240137i	−0.693334	−	0.720616i	$-0.743859\pi$
$107$	−4.30241	+	2.48400i	−0.415930	+	0.240137i	0.277405	+	0.960753i	$0.410526\pi$
$108$	−8.32268	−	6.22358i	−0.800850	−	0.598865i
$109$	−9.17298	−	5.29603i	−0.878613	−	0.507267i	−0.00841187	−	0.999965i	$-0.502678\pi$
$109$	−9.17298	−	5.29603i	−0.878613	−	0.507267i	−0.870201	+	0.492697i	$0.836011\pi$
$110$	4.50947	+	7.66824i	0.429961	+	0.731138i
$111$	−8.43269	−	16.2465i	−0.800396	−	1.54205i
$112$	0.378947	+	10.5762i	0.0358071	+	0.999359i
$113$	4.61089	−	2.66210i	0.433756	−	0.250429i	−0.267189	−	0.963644i	$-0.586095\pi$
$113$	4.61089	−	2.66210i	0.433756	−	0.250429i	0.700946	+	0.713215i	$0.252762\pi$
$114$	−10.9645	+	17.4721i	−1.02692	+	1.63642i
$115$	−4.03191	−	6.98347i	−0.375978	−	0.651212i
$116$	−1.88054	−	3.14003i	−0.174604	−	0.291544i
$117$	6.48686	−	3.00599i	0.599710	−	0.277904i
$118$	−0.434127	−	0.738223i	−0.0399646	−	0.0679589i
$119$	5.73102	+	9.83981i	0.525362	+	0.902014i
$120$	−3.37039	+	5.56672i	−0.307673	+	0.508170i
$121$	5.71243	−	9.89422i	0.519312	−	0.899475i
$122$	10.9052	+	18.5440i	0.987307	+	1.67889i
$123$	5.15600	+	9.93359i	0.464901	+	0.895681i
$124$	−1.39135	−	0.773873i	−0.124947	−	0.0694959i
$125$	10.9396			0.978466
$126$	−11.1910	−	0.873026i	−0.996971	−	0.0777753i
$127$			7.79355i			0.691566i	0.938315	+	0.345783i	$0.112387\pi$
$127$			7.79355i			0.691566i	−0.938315	+	0.345783i	$0.887613\pi$
$128$	9.46585	−	6.19658i	0.836671	−	0.547706i
$129$	7.65202	+	4.88776i	0.673723	+	0.430343i
$130$	−2.26942	−	3.85909i	−0.199041	−	0.338465i
$131$	−0.722217	−	0.416972i	−0.0631004	−	0.0364310i	0.468118	−	0.883666i	$-0.344932\pi$
$131$	−0.722217	−	0.416972i	−0.0631004	−	0.0364310i	−0.531218	+	0.847235i	$0.678266\pi$
$132$	16.3974	+	0.472770i	1.42721	+	0.0411494i
$133$	0.0847305	+	22.2801i	0.00734706	+	1.93193i
$134$	−2.47860	+	1.45759i	−0.214118	+	0.125917i
$135$	−5.46083	−	4.22147i	−0.469993	−	0.363327i
$136$	5.83183	−	10.6855i	0.500075	−	0.916274i
$137$	−11.1683	+	6.44803i	−0.954174	+	0.550893i	−0.894375	−	0.447318i	$-0.852379\pi$
$137$	−11.1683	+	6.44803i	−0.954174	+	0.550893i	−0.0597991	+	0.998210i	$0.519046\pi$
$138$	−14.8597	−	0.547487i	−1.26495	−	0.0466052i
$139$	−9.83149	−	17.0286i	−0.833896	−	1.44435i	−0.894926	−	0.446214i	$-0.852772\pi$
$139$	−9.83149	−	17.0286i	−0.833896	−	1.44435i	0.0610304	−	0.998136i	$-0.480561\pi$
$140$	0.139226	+	7.02756i	0.0117667	+	0.593937i
$141$	−0.490824	+	10.9412i	−0.0413348	+	0.921418i
$142$	−3.92606	+	2.30880i	−0.329467	+	0.193750i
$143$	−5.64273	+	9.77349i	−0.471869	+	0.817300i
$144$	5.39127	+	10.7207i	0.449272	+	0.893395i
$145$	−1.21546	−	2.10524i	−0.100939	−	0.174831i
$146$	0.0610253	+	7.62519i	0.00505049	+	0.631066i
$147$	−10.7183	+	5.66722i	−0.884033	+	0.467424i
$148$	0.338292	+	21.1336i	0.0278074	+	1.73717i
$149$	6.84331	−	11.8530i	0.560626	−	0.971033i	−0.436816	−	0.899551i	$-0.643894\pi$
$149$	6.84331	−	11.8530i	0.560626	−	0.971033i	0.997442	−	0.0714820i	$-0.0227728\pi$
$150$	4.21268	−	6.71298i	0.343964	−	0.548113i
$151$	15.3512	−	8.86303i	1.24926	−	0.721263i	0.278302	−	0.960494i	$-0.410228\pi$
$151$	15.3512	−	8.86303i	1.24926	−	0.721263i	0.970963	+	0.239230i	$0.0768951\pi$
$152$	20.3357	−	12.4011i	1.64944	−	1.00586i
$153$	10.5590	+	7.43118i	0.853641	+	0.600776i
$154$	15.2391	−	9.03983i	1.22800	−	0.728450i
$155$	−0.915752	−	0.528710i	−0.0735550	−	0.0424670i
$156$	−8.25210	−	0.237925i	−0.660697	−	0.0190492i
$157$			12.0931i			0.965135i	0.875859	+	0.482567i	$0.160296\pi$
$157$			12.0931i			0.965135i	−0.875859	+	0.482567i	$0.839704\pi$
$158$	−8.86596	−	15.0763i	−0.705338	−	1.19941i
$159$	−6.71934	−	4.29201i	−0.532878	−	0.340378i
$160$	6.35202	−	4.01444i	0.502171	−	0.317370i
$161$	−13.8788	+	8.08346i	−1.09380	+	0.637066i
$162$	−11.9463	+	4.39165i	−0.938588	+	0.345041i
$163$	−4.26986	−	7.39562i	−0.334441	−	0.579270i	0.648936	−	0.760843i	$-0.275214\pi$
$163$	−4.26986	−	7.39562i	−0.334441	−	0.579270i	−0.983377	+	0.181573i	$0.941881\pi$
$164$	−0.206842	−	12.9217i	−0.0161516	−	1.00902i
$165$	10.8843	+	0.488268i	0.847340	+	0.0380117i
$166$	2.71742	−	0.0217479i	0.210913	−	0.00168796i
$167$	−1.96469	−	3.40295i	−0.152033	−	0.263328i	0.779942	−	0.625852i	$-0.215249\pi$
$167$	−1.96469	−	3.40295i	−0.152033	−	0.263328i	−0.931975	+	0.362524i	$0.881915\pi$
$168$	11.1131	+	6.67082i	0.857391	+	0.514665i
$169$	−3.66026	+	6.33976i	−0.281559	+	0.487674i
$170$	3.98643	−	7.03411i	0.305745	−	0.539492i
$171$	10.6220	+	22.9220i	0.812283	+	1.75289i
$172$	−5.38690	−	8.99477i	−0.410747	−	0.685845i
$173$	−17.5248			−1.33238			−0.666192	−	0.745781i	$-0.732077\pi$
$173$	−17.5248			−1.33238			−0.666192	+	0.745781i	$0.732077\pi$
$174$	−4.47963	−	0.165046i	−0.339600	−	0.0125121i
$175$	−0.0325544	−	8.56027i	−0.00246088	−	0.647096i
$176$	−16.6989	−	8.94109i	−1.25873	−	0.673960i
$177$	−1.04783	−	0.0470057i	−0.0787598	−	0.00353316i
$178$	8.35212	−	14.7374i	0.626018	−	1.10462i
$179$	−6.94189	−	4.00790i	−0.518861	−	0.299565i	0.217608	−	0.976036i	$-0.430175\pi$
$179$	−6.94189	−	4.00790i	−0.518861	−	0.299565i	−0.736469	+	0.676472i	$0.763508\pi$
$180$	3.46631	+	7.17681i	0.258363	+	0.534928i
$181$			5.80804i			0.431708i	0.976426	+	0.215854i	$0.0692536\pi$
$181$			5.80804i			0.431708i	−0.976426	+	0.215854i	$0.930746\pi$
$182$	−7.66917	+	4.54935i	−0.568476	+	0.337220i
$183$	26.3212	+	1.18077i	1.94572	+	0.0872851i
$184$	15.0716	+	8.22565i	1.11110	+	0.606403i
$185$			14.0382i			1.03211i
$186$	−1.72341	+	0.912114i	−0.126367	+	0.0668795i
$187$	−20.3812			−1.49042
$188$	6.14718	−	11.0520i	0.448329	−	0.806053i
$189$	−8.36676	+	10.9086i	−0.608593	+	0.793483i
$190$	13.6365	−	8.01923i	0.989296	−	0.581776i
$191$	−6.56141			−0.474767			−0.237383	−	0.971416i	$-0.576290\pi$
$191$	−6.56141			−0.474767			−0.237383	+	0.971416i	$0.576290\pi$
$192$	−0.0441709	−	13.8563i	−0.00318776	−	0.999995i
$193$	17.5893			1.26611			0.633053	−	0.774108i	$-0.281801\pi$
$193$	17.5893			1.26611			0.633053	+	0.774108i	$0.281801\pi$
$194$	−0.0207463	−	2.59228i	−0.00148950	−	0.186115i
$195$	−5.47758	−	0.245724i	−0.392258	−	0.0175967i
$196$	13.9961	−	0.330534i	0.999721	−	0.0236096i
$197$	12.7146			0.905881			0.452940	−	0.891541i	$-0.350375\pi$
$197$	12.7146			0.905881			0.452940	+	0.891541i	$0.350375\pi$
$198$	11.4312	−	16.5220i	0.812381	−	1.17416i
$199$	2.56261	+	1.47953i	0.181659	+	0.104881i	0.588072	−	0.808809i	$-0.299887\pi$
$199$	2.56261	+	1.47953i	0.181659	+	0.104881i	−0.406413	+	0.913689i	$0.633221\pi$
$200$	−7.81320	+	4.76463i	−0.552477	+	0.336910i
$201$	−0.157823	+	3.51811i	−0.0111319	+	0.248149i
$202$	−2.63619	−	1.49400i	−0.185481	−	0.105118i
$203$	−4.18391	+	2.43685i	−0.293653	+	0.171033i
$204$	−7.07940	−	13.1213i	−0.495657	−	0.918672i
$205$		−	8.58335i		−	0.599487i
$206$	20.4959	−	0.164031i	1.42802	−	0.0114286i
$207$	−10.4815	+	14.8931i	−0.728515	+	1.03514i
$208$	8.40385	+	4.49966i	0.582702	+	0.311995i
$209$	−34.5357	−	19.9392i	−2.38888	−	1.37922i
$210$	7.30913	+	4.54814i	0.504378	+	0.313851i
$211$	−0.513150	−	0.888802i	−0.0353267	−	0.0611877i	0.847821	−	0.530282i	$-0.177914\pi$
$211$	−0.513150	−	0.888802i	−0.0353267	−	0.0611877i	−0.883148	+	0.469094i	$0.844581\pi$
$212$	4.73031	+	7.89844i	0.324879	+	0.542467i
$213$	−0.249988	+	5.57263i	−0.0171289	+	0.381830i
$214$	3.46410	−	6.11244i	0.236801	−	0.417838i
$215$	−3.48176	−	6.03058i	−0.237454	−	0.411282i
$216$	14.6073	+	1.62043i	0.993903	+	0.110256i
$217$	−1.04612	+	1.82796i	−0.0710154	+	0.124090i
$218$	14.9789	−	0.119878i	1.01450	−	0.00811918i
$219$	7.87060	+	5.02738i	0.531846	+	0.339719i
$220$	−10.9945	−	6.11517i	−0.741249	−	0.412285i
$221$	10.2570			0.689958
$222$	21.9267	+	13.7600i	1.47163	+	0.923508i
$223$	8.58557	+	4.95688i	0.574932	+	0.331937i	0.759117	−	0.650954i	$-0.225631\pi$
$223$	8.58557	+	4.95688i	0.574932	+	0.331937i	−0.184185	+	0.982892i	$0.558964\pi$
$224$	−8.04389	−	12.6212i	−0.537455	−	0.843292i
$225$	−4.08108	−	8.80687i	−0.272072	−	0.587125i
$226$	−3.71247	+	6.55070i	−0.246950	+	0.435746i
$227$	10.3688	−	5.98641i	0.688199	−	0.397332i	−0.114738	−	0.993396i	$-0.536603\pi$
$227$	10.3688	−	5.98641i	0.688199	−	0.397332i	0.802937	+	0.596064i	$0.203269\pi$
$228$	0.840732	−	29.1597i	0.0556788	−	1.93115i
$229$	1.91357	+	1.10480i	0.126452	+	0.0730073i	0.561892	−	0.827211i	$-0.310074\pi$
$229$	1.91357	+	1.10480i	0.126452	+	0.0730073i	−0.435440	+	0.900218i	$0.643407\pi$
$230$	9.92144	+	5.62276i	0.654200	+	0.370754i
$231$	0.890066	−	21.6825i	0.0585621	−	1.42660i
$232$	4.54351	+	2.47971i	0.298296	+	0.162801i
$233$	12.9634	−	7.48442i	0.849260	−	0.490320i	−0.0111411	−	0.999938i	$-0.503546\pi$
$233$	12.9634	−	7.48442i	0.849260	−	0.490320i	0.860401	+	0.509617i	$0.170213\pi$
$234$	−5.75283	+	8.31478i	−0.376074	+	0.543554i
$235$	4.19974	−	7.27417i	0.273961	−	0.474515i
$236$	1.05844	+	0.588709i	0.0688987	+	0.0383217i
$237$	−21.3993	−	0.959973i	−1.39003	−	0.0623569i
$238$	−14.0404	−	7.88670i	−0.910104	−	0.511219i
$239$	10.5157	+	18.2138i	0.680206	+	1.17815i	0.974918	+	0.222565i	$0.0714431\pi$
$239$	10.5157	+	18.2138i	0.680206	+	1.17815i	−0.294712	+	0.955586i	$0.595224\pi$
$240$	0.117963	−	9.20228i	0.00761445	−	0.594005i
$241$	2.77274	+	4.80252i	0.178608	+	0.309358i	0.941404	−	0.337281i	$-0.109507\pi$
$241$	2.77274	+	4.80252i	0.178608	+	0.309358i	−0.762796	+	0.646639i	$0.776174\pi$
$242$	0.129304	+	16.1567i	0.00831197	+	1.03859i
$243$	−3.46496	+	15.1985i	−0.222277	+	0.974983i
$244$	−26.5878	−	14.7882i	−1.70211	−	0.946718i
$245$	9.29814	−	0.0707219i	0.594036	−	0.00451826i
$246$	−13.4066	−	8.41325i	−0.854777	−	0.536409i
$247$	17.3803	+	10.0345i	1.10588	+	0.638481i
$248$	2.25090	−	0.0540519i	0.142932	−	0.00343230i
$249$	1.79163	−	2.80488i	0.113540	−	0.177752i
$250$	−13.3359	+	7.84243i	−0.843434	+	0.495999i
$251$			13.2721i			0.837729i	0.908049	+	0.418865i	$0.137572\pi$
$251$			13.2721i			0.837729i	−0.908049	+	0.418865i	$0.862428\pi$
$252$	14.2682	−	6.95839i	0.898811	−	0.438337i
$253$		−	28.7472i		−	1.80732i
$254$	−5.58709	−	9.50071i	−0.350565	−	0.596127i
$255$	−4.56186	−	8.78891i	−0.285675	−	0.550383i
$256$	−7.09708	+	14.3399i	−0.443567	+	0.896241i
$257$	8.25767	+	4.76757i	0.515099	+	0.297393i	0.734927	−	0.678146i	$-0.237216\pi$
$257$	8.25767	+	4.76757i	0.515099	+	0.297393i	−0.219828	+	0.975539i	$0.570550\pi$
$258$	−12.8321	−	0.472782i	−0.798893	−	0.0294341i
$259$	27.9606	−	0.106333i	1.73738	−	0.00660720i
$260$	5.53306	+	3.07750i	0.343146	+	0.190858i
$261$	−3.15976	+	4.48970i	−0.195584	+	0.277905i
$262$	1.17934	−	0.00943838i	0.0728597	−	0.000583105i
$263$	2.37065	+	4.10609i	0.146181	+	0.253193i	0.929813	−	0.368033i	$-0.119969\pi$
$263$	2.37065	+	4.10609i	0.146181	+	0.253193i	−0.783632	+	0.621225i	$0.786635\pi$
$264$	−20.3281	+	11.1787i	−1.25111	+	0.688004i
$265$	3.05738	+	5.29553i	0.187813	+	0.325302i
$266$	−16.0756	−	27.0998i	−0.985659	−	1.66160i
$267$	−9.55771	−	18.4140i	−0.584923	−	1.12692i
$268$	1.97660	−	3.55374i	0.120740	−	0.217079i
$269$	1.79542	−	3.10976i	0.109469	−	0.189606i	−0.806086	−	0.591798i	$-0.798418\pi$
$269$	1.79542	−	3.10976i	0.109469	−	0.189606i	0.915555	+	0.402192i	$0.131752\pi$
$270$	9.68331	+	1.23139i	0.589308	+	0.0749398i
$271$	5.56328	−	3.21196i	0.337945	−	0.195113i	−0.321418	−	0.946938i	$-0.604159\pi$
$271$	5.56328	−	3.21196i	0.337945	−	0.195113i	0.659363	+	0.751825i	$0.270826\pi$
$272$	0.551011	+	17.2069i	0.0334100	+	1.04332i
$273$	−0.447932	+	10.9118i	−0.0271100	+	0.660415i
$274$	8.99221	−	15.8669i	0.543239	−	0.958552i
$275$	13.2690	+	7.66084i	0.800149	+	0.461966i
$276$	18.5072	−	9.98532i	1.11400	−	0.601046i
$277$	7.66630	−	4.42614i	0.460623	−	0.265941i	−0.251683	−	0.967810i	$-0.580984\pi$
$277$	7.66630	−	4.42614i	0.460623	−	0.265941i	0.712306	+	0.701869i	$0.247651\pi$
$278$	24.1926	+	13.7107i	1.45098	+	0.822310i
$279$	−0.213833	+	2.37854i	−0.0128018	+	0.142399i
$280$	−5.20768	−	8.46711i	−0.311218	−	0.506007i
$281$	5.03528	+	2.90712i	0.300380	+	0.173424i	0.642613	−	0.766191i	$-0.277850\pi$
$281$	5.03528	+	2.90712i	0.300380	+	0.173424i	−0.342234	+	0.939615i	$0.611183\pi$
$282$	−7.24528	−	13.6897i	−0.431450	−	0.815212i
$283$	−9.34062			−0.555242			−0.277621	−	0.960691i	$-0.589546\pi$
$283$	−9.34062			−0.555242			−0.277621	+	0.960691i	$0.589546\pi$
$284$	3.13090	−	5.62907i	0.185785	−	0.334024i
$285$	0.868292	−	19.3556i	0.0514332	−	1.14653i
$286$	−0.127726	−	15.9595i	−0.00755260	−	0.943707i
$287$	−17.0959	+	0.0650150i	−1.00914	+	0.00383772i
$288$	−14.2578	−	9.20416i	−0.840146	−	0.542360i
$289$	0.761888	+	1.31963i	0.0448169	+	0.0776252i
$290$	2.99092	+	1.69504i	0.175633	+	0.0995363i
$291$	−2.67571	−	1.70912i	−0.156853	−	0.100190i
$292$	−5.54078	−	9.25172i	−0.324250	−	0.541416i
$293$	10.6835	+	18.5043i	0.624134	+	1.08103i	0.988708	+	0.149857i	$0.0478814\pi$
$293$	10.6835	+	18.5043i	0.624134	+	1.08103i	−0.364574	+	0.931175i	$0.618785\pi$
$294$	9.00340	−	14.5924i	0.525089	−	0.851047i
$295$	0.696640	+	0.402205i	0.0405599	+	0.0234173i
$296$	−15.5628	−	25.5204i	−0.904569	−	1.48334i
$297$	−9.33476	−	22.7669i	−0.541658	−	1.32107i
$298$	0.154902	+	19.3552i	0.00897323	+	1.12122i
$299$			14.4672i			0.836660i
$300$	−0.323018	+	11.2035i	−0.0186495	+	0.646832i
$301$	−11.9850	+	6.98047i	−0.690806	+	0.402348i
$302$	−12.3601	+	21.8095i	−0.711242	+	1.25500i
$303$	−3.29383	+	1.70966i	−0.189226	+	0.0982171i
$304$	−15.9000	+	29.6959i	−0.911929	+	1.70318i
$305$	−17.4994	−	10.1033i	−1.00201	−	0.578513i
$306$	−18.1992	−	1.48940i	−1.04038	−	0.0851433i
$307$	0.800942			0.0457122			0.0228561	−	0.999739i	$-0.492724\pi$
$307$	0.800942			0.0457122			0.0228561	+	0.999739i	$0.492724\pi$
$308$	−12.0966	+	21.9447i	−0.689270	+	1.25041i
$309$	13.5132	−	21.1555i	0.768738	−	1.20350i
$310$	1.49537	−	0.0119676i	0.0849312	−	0.000679715i
$311$	8.15639			0.462506			0.231253	−	0.972894i	$-0.425717\pi$
$311$	8.15639			0.462506			0.231253	+	0.972894i	$0.425717\pi$
$312$	10.2303	−	5.62577i	0.579174	−	0.318496i
$313$	−21.3166			−1.20489			−0.602444	−	0.798161i	$-0.705806\pi$
$313$	−21.3166			−1.20489			−0.602444	+	0.798161i	$0.705806\pi$
$314$	−8.66937	−	14.7421i	−0.489241	−	0.831943i
$315$	9.54928	−	4.46930i	0.538041	−	0.251817i
$316$	21.6160	+	12.0229i	1.21600	+	0.676341i
$317$	14.1254			0.793359			0.396679	−	0.917957i	$-0.370162\pi$
$317$	14.1254			0.793359			0.396679	+	0.917957i	$0.370162\pi$
$318$	11.2681	+	0.415157i	0.631882	+	0.0232808i
$319$		−	8.66614i		−	0.485211i
$320$	−4.86551	+	9.44747i	−0.271990	+	0.528130i
$321$	−3.96413	−	7.63732i	−0.221256	−	0.426274i
$322$	11.1240	−	19.8036i	0.619916	−	1.10361i
$323$			36.2441i			2.01667i
$324$	11.4148	−	13.9177i	0.634153	−	0.773208i
$325$	−6.67769	−	3.85537i	−0.370412	−	0.213857i
$326$	10.5070	+	5.95460i	0.581928	+	0.329795i
$327$	9.87579	−	15.4610i	0.546132	−	0.854997i
$328$	9.51555	+	15.6039i	0.525409	+	0.861582i
$329$	−14.5202	−	8.30975i	−0.800522	−	0.458131i
$330$	−13.6185	+	7.20756i	−0.749672	+	0.396763i
$331$	11.2738			0.619665			0.309833	−	0.950791i	$-0.399727\pi$
$331$	11.2738			0.619665			0.309833	+	0.950791i	$0.399727\pi$
$332$	−3.29708	+	1.97459i	−0.180951	+	0.108370i
$333$	28.7660	−	13.3301i	1.57637	−	0.730485i
$334$	4.83458	+	2.73989i	0.264536	+	0.149920i
$335$	1.35041	−	2.33898i	0.0737809	−	0.127792i
$336$	−18.3296	−	0.165249i	−0.999959	−	0.00901507i
$337$	3.17959	+	5.50722i	0.173203	+	0.299997i	0.939538	−	0.342444i	$-0.111255\pi$
$337$	3.17959	+	5.50722i	0.173203	+	0.299997i	−0.766335	+	0.642442i	$0.777922\pi$
$338$	−0.0828519	−	10.3525i	−0.00450655	−	0.563099i
$339$	4.24835	+	8.18491i	0.230739	+	0.444543i
$340$	0.183007	+	11.4327i	0.00992493	+	0.620026i
$341$	−1.88483	−	3.26462i	−0.102069	−	0.176789i
$342$	−29.3811	−	20.3282i	−1.58875	−	1.09922i
$343$	−0.211290	−	18.5191i	−0.0114086	−	0.999935i
$344$	13.0151	+	7.10326i	0.701728	+	0.382982i
$345$	12.3965	−	6.43439i	0.667407	−	0.346416i
$346$	21.3635	−	12.5633i	1.14851	−	0.675405i
$347$		−	28.0242i		−	1.50442i	−0.658925	−	0.752208i	$-0.728989\pi$
$347$		−	28.0242i		−	1.50442i	0.658925	−	0.752208i	$-0.271011\pi$
$348$	5.57920	−	3.01018i	0.299076	−	0.161363i
$349$	2.04167	+	1.17876i	0.109288	+	0.0630976i	0.553648	−	0.832751i	$-0.313235\pi$
$349$	2.04167	+	1.17876i	0.109288	+	0.0630976i	−0.444360	+	0.895849i	$0.646569\pi$
$350$	6.17642	+	10.4120i	0.330144	+	0.556547i
$351$	4.69778	+	11.4576i	0.250749	+	0.611562i
$352$	26.7665	−	1.07163i	1.42666	−	0.0571180i
$353$	−1.44254	+	0.832852i	−0.0767788	+	0.0443283i	−0.537898	−	0.843010i	$-0.680781\pi$
$353$	−1.44254	+	0.832852i	−0.0767788	+	0.0443283i	0.461119	+	0.887338i	$0.347448\pi$
$354$	1.31105	−	0.693873i	0.0696817	−	0.0368789i
$355$	2.13903	−	3.70491i	0.113528	−	0.196636i
$356$	0.383424	+	23.9531i	0.0203214	+	1.26951i
$357$	−17.4708	+	9.15266i	−0.924652	+	0.484410i
$358$	11.3357	−	0.0907209i	0.599110	−	0.00479475i
$359$	18.0155	+	31.2037i	0.950820	+	1.64687i	0.743656	+	0.668562i	$0.233090\pi$
$359$	18.0155	+	31.2037i	0.950820	+	1.64687i	0.207164	+	0.978306i	$0.433577\pi$
$360$	−9.37054	−	6.26392i	−0.493871	−	0.330138i
$361$	−25.9580	+	44.9606i	−1.36621	+	2.36635i
$362$	−4.16370	−	7.08027i	−0.218839	−	0.372131i
$363$	16.6767	+	10.6523i	0.875298	+	0.559100i
$364$	6.08771	−	11.0438i	0.319083	−	0.578852i
$365$	−3.58121	−	6.20285i	−0.187449	−	0.324672i
$366$	−32.9333	+	17.4299i	−1.72145	+	0.911076i
$367$	14.5390	−	8.39412i	0.758932	−	0.438169i	−0.0699804	−	0.997548i	$-0.522294\pi$
$367$	14.5390	−	8.39412i	0.758932	−	0.438169i	0.828912	+	0.559379i	$0.188960\pi$
$368$	−24.2699	+	0.777188i	−1.26516	+	0.0405137i
$369$	−17.5884	+	8.15042i	−0.915616	+	0.424294i
$370$	−10.0638	−	17.1132i	−0.523190	−	0.889672i
$371$	10.5242	−	6.12965i	0.546391	−	0.318235i
$372$	1.44704	−	2.34740i	0.0750255	−	0.121707i
$373$	19.3686	+	11.1825i	1.00287	+	0.579006i	0.909095	−	0.416588i	$-0.136774\pi$
$373$	19.3686	+	11.1825i	1.00287	+	0.579006i	0.0937721	+	0.995594i	$0.470107\pi$
$374$	24.8456	−	14.6110i	1.28474	−	0.755516i
$375$	−0.849149	+	18.9289i	−0.0438499	+	0.977483i
$376$	0.429355	+	17.8798i	0.0221423	+	0.922079i
$377$			4.36129i			0.224618i
$378$	2.37927	−	19.2961i	0.122376	−	0.992484i
$379$	−1.17834			−0.0605270			−0.0302635	−	0.999542i	$-0.509635\pi$
$379$	−1.17834			−0.0605270			−0.0302635	+	0.999542i	$0.509635\pi$
$380$	−10.8747	+	19.5516i	−0.557859	+	1.00298i
$381$	−13.4853	−	0.604949i	−0.690871	−	0.0309925i
$382$	7.99866	−	4.70378i	0.409247	−	0.240666i
$383$	−5.56417	+	9.63743i	−0.284316	+	0.492450i	−0.972443	−	0.233140i	$-0.925100\pi$
$383$	−5.56417	+	9.63743i	−0.284316	+	0.492450i	0.688127	+	0.725590i	$0.258433\pi$
$384$	9.98725	+	16.8599i	0.509660	+	0.860376i
$385$	−8.26649	+	14.4446i	−0.421299	+	0.736163i
$386$	−21.4422	+	12.6095i	−1.09138	+	0.641808i
$387$	−9.05130	+	12.8610i	−0.460103	+	0.653760i
$388$	1.88366	+	3.14524i	0.0956282	+	0.159675i
$389$	−14.4576	−	25.0413i	−0.733031	−	1.26965i	−0.955582	−	0.294725i	$-0.904772\pi$
$389$	−14.4576	−	25.0413i	−0.733031	−	1.26965i	0.222551	−	0.974921i	$-0.428562\pi$
$390$	6.85358	−	3.62725i	0.347045	−	0.183673i
$391$	−22.6269	+	13.0637i	−1.14429	+	0.660658i
$392$	−16.8249	+	10.4365i	−0.849788	+	0.527125i
$393$	0.777551	−	1.21729i	0.0392222	−	0.0614043i
$394$	−15.4997	+	9.11494i	−0.780866	+	0.459204i
$395$	14.2271	+	8.21403i	0.715844	+	0.413293i
$396$	−2.09083	+	28.3359i	−0.105068	+	1.42393i
$397$	8.74424	−	5.04849i	0.438861	−	0.253376i	−0.264254	−	0.964453i	$-0.585126\pi$
$397$	8.74424	−	5.04849i	0.438861	−	0.253376i	0.703114	+	0.711077i	$0.251792\pi$
$398$	−4.18460	+	0.0334898i	−0.209755	+	0.00167869i
$399$	−38.5582	−	1.58281i	−1.93032	−	0.0792398i
$400$	6.10896	−	11.4095i	0.305448	−	0.570474i
$401$	19.1907	+	11.0798i	0.958338	+	0.553297i	0.895661	−	0.444737i	$-0.146703\pi$
$401$	19.1907	+	11.0798i	0.958338	+	0.553297i	0.0626769	+	0.998034i	$0.480036\pi$
$402$	−2.32969	−	4.40189i	−0.116194	−	0.219546i
$403$	0.948551	+	1.64294i	0.0472507	+	0.0818406i
$404$	4.28466	−	0.0685857i	0.213170	−	0.00341227i
$405$	7.72834	−	9.12125i	0.384024	−	0.453238i
$406$	3.35345	−	5.97002i	0.166429	−	0.296287i
$407$	−25.0227	+	43.3407i	−1.24033	+	2.14832i
$408$	18.0366	+	10.9203i	0.892943	+	0.540636i
$409$	0.905406			0.0447695			0.0223847	−	0.999749i	$-0.492874\pi$
$409$	0.905406			0.0447695			0.0223847	+	0.999749i	$0.492874\pi$
$410$	6.15328	+	10.4635i	0.303889	+	0.516756i
$411$	−10.2902	−	19.8252i	−0.507578	−	0.977904i
$412$	−24.8679	+	14.8932i	−1.22515	+	0.733734i
$413$	0.795816	−	1.39058i	0.0391596	−	0.0684260i
$414$	2.10076	−	25.6695i	0.103247	−	1.26159i
$415$	−2.21054	+	1.27625i	−0.108511	+	0.0626488i
$416$	−13.4704	+	0.539304i	−0.660442	+	0.0264415i
$417$	30.2280	−	15.6897i	1.48027	−	0.768330i
$418$	56.3947	−	0.451333i	2.75835	−	0.0220754i
$419$	31.2486	−	18.0414i	1.52659	−	0.881379i	0.527092	−	0.849808i	$-0.323282\pi$
$419$	31.2486	−	18.0414i	1.52659	−	0.881379i	0.999502	−	0.0315710i	$-0.0100510\pi$
$420$	−12.1707	−	0.304587i	−0.593868	−	0.0148623i
$421$	−7.10697	−	4.10321i	−0.346372	−	0.199978i	0.316714	−	0.948521i	$-0.397420\pi$
$421$	−7.10697	−	4.10321i	−0.346372	−	0.199978i	−0.663086	+	0.748543i	$0.730754\pi$
$422$	1.26272	+	0.715621i	0.0614684	+	0.0348359i
$423$	−18.8936	−	1.69855i	−0.918640	−	0.0825866i
$424$	−11.4287	−	6.23747i	−0.555029	−	0.302918i
$425$		−	13.9254i		−	0.675479i
$426$	−3.69019	−	6.97251i	−0.178790	−	0.337819i
$427$	−19.9907	+	34.9310i	−0.967418	+	1.69043i
$428$	0.159028	+	9.93472i	0.00768689	+	0.480213i
$429$	−16.4732	−	10.5223i	−0.795333	−	0.508022i
$430$	8.56766	+	4.85553i	0.413169	+	0.234155i
$431$	6.07494	−	10.5221i	0.292620	−	0.506832i	−0.681809	−	0.731530i	$-0.738806\pi$
$431$	6.07494	−	10.5221i	0.292620	−	0.506832i	0.974428	+	0.224698i	$0.0721397\pi$
$432$	−18.9687	+	8.49641i	−0.912631	+	0.408784i
$433$	−4.60691			−0.221394			−0.110697	−	0.993854i	$-0.535308\pi$
$433$	−4.60691			−0.221394			−0.110697	+	0.993854i	$0.535308\pi$
$434$	−0.0351633	−	2.97831i	−0.00168789	−	0.142964i
$435$	3.73707	−	1.93971i	0.179179	−	0.0930022i
$436$	−18.1741	+	10.8843i	−0.870381	+	0.521265i
$437$	−51.1214			−2.44547
$438$	−13.1987	−	0.486288i	−0.630658	−	0.0232357i
$439$			5.99810i			0.286273i	0.989703	+	0.143137i	$0.0457189\pi$
$439$			5.99810i			0.286273i	−0.989703	+	0.143137i	$0.954281\pi$
$440$	17.7867	−	0.427120i	0.847948	−	0.0203622i
$441$	−8.97407	−	18.9859i	−0.427337	−	0.904093i
$442$	−12.5037	+	7.35307i	−0.594741	+	0.349750i
$443$		−	32.6870i		−	1.55301i	−0.630114	−	0.776503i	$-0.716992\pi$
$443$		−	32.6870i		−	1.55301i	0.630114	−	0.776503i	$-0.283008\pi$
$444$	−36.5940	−	1.05508i	−1.73668	−	0.0500718i
$445$			15.9110i			0.754255i
$446$	−14.0197	+	0.112202i	−0.663853	+	0.00531290i
$447$	19.9781	+	12.7611i	0.944933	+	0.603580i
$448$	18.8539	+	9.61934i	0.890762	+	0.454471i
$449$		−	5.92759i		−	0.279740i	−0.990170	−	0.139870i	$-0.955332\pi$
$449$		−	5.92759i		−	0.279740i	0.990170	−	0.139870i	$-0.0446685\pi$
$450$	11.2885	+	7.81032i	0.532147	+	0.368182i
$451$	15.2996	−	26.4998i	0.720432	−	1.24783i
$452$	−0.170430	−	10.6470i	−0.00801635	−	0.500794i
$453$	14.1442	+	27.2503i	0.664553	+	1.28033i
$454$	−8.34844	+	14.7309i	−0.391812	+	0.691357i
$455$	4.16016	−	7.26932i	0.195032	−	0.340791i
$456$	19.8792	+	36.1497i	0.930931	+	1.69286i
$457$	4.70912			0.220283			0.110142	−	0.993916i	$-0.464870\pi$
$457$	4.70912			0.220283			0.110142	+	0.993916i	$0.464870\pi$
$458$	−3.12475	+	0.0250077i	−0.146010	+	0.00116853i
$459$	−13.6779	+	17.6934i	−0.638428	+	0.825859i
$460$	−16.1256	+	0.258126i	−0.751859	+	0.0120352i
$461$	−8.86541	+	15.3553i	−0.412903	+	0.715170i	−0.995206	−	0.0978026i	$-0.968819\pi$
$461$	−8.86541	+	15.3553i	−0.412903	+	0.715170i	0.582302	+	0.812972i	$0.302152\pi$
$462$	14.4588	+	27.0700i	0.672685	+	1.25941i
$463$	16.0597	−	9.27208i	0.746358	−	0.430910i	−0.0780185	−	0.996952i	$-0.524859\pi$
$463$	16.0597	−	9.27208i	0.746358	−	0.430910i	0.824376	+	0.566042i	$0.191526\pi$
$464$	−7.31642	+	0.234292i	−0.339656	+	0.0108767i
$465$	0.985914	−	1.54350i	0.0457207	−	0.0715779i
$466$	−10.4375	+	18.4171i	−0.483508	+	0.853157i
$467$	18.0215	−	10.4047i	0.833938	−	0.481474i	−0.0212612	−	0.999774i	$-0.506768\pi$
$467$	18.0215	−	10.4047i	0.833938	−	0.481474i	0.855199	+	0.518300i	$0.173435\pi$
$468$	1.05223	−	14.2602i	0.0486391	−	0.659179i
$469$	−4.66890	−	2.67197i	−0.215590	−	0.123380i
$470$	0.0950634	+	11.8783i	0.00438495	+	0.547905i
$471$	−20.9248	−	0.938688i	−0.964165	−	0.0432524i
$472$	−1.71233	+	0.0411189i	−0.0788163	+	0.00189265i
$473$		−	24.8246i		−	1.14144i
$474$	26.7750	−	14.1706i	1.22981	−	0.650878i
$475$	13.6233	−	23.5963i	0.625082	−	1.08267i
$476$	22.7698	−	0.451102i	1.04365	−	0.0206762i
$477$	7.94807	−	11.2934i	0.363917	−	0.517089i
$478$	−25.8764	−	14.6649i	−1.18356	−	0.670756i
$479$	−18.5560	−	32.1399i	−0.847844	−	1.46851i	−0.883128	−	0.469131i	$-0.844567\pi$
$479$	−18.5560	−	32.1399i	−0.847844	−	1.46851i	0.0352846	−	0.999377i	$-0.488766\pi$
$480$	6.45318	+	11.3026i	0.294546	+	0.515890i
$481$	12.5929	−	21.8115i	0.574185	−	0.994517i
$482$	−6.82296	−	3.86677i	−0.310777	−	0.176126i
$483$	−12.9096	−	24.6421i	−0.587407	−	1.12125i
$484$	−11.7401	−	19.6031i	−0.533642	−	0.891048i
$485$	1.21748	+	2.10873i	0.0552828	+	0.0957527i
$486$	−6.67163	−	21.0116i	−0.302631	−	0.953108i
$487$	−18.7605	−	10.8314i	−0.850118	−	0.490816i	0.0105726	−	0.999944i	$-0.496635\pi$
$487$	−18.7605	−	10.8314i	−0.850118	−	0.490816i	−0.860691	+	0.509128i	$0.829968\pi$
$488$	43.0132	−	1.03290i	1.94712	−	0.0467570i
$489$	13.1282	−	6.81413i	0.593676	−	0.308146i
$490$	−11.2842	+	6.75192i	−0.509767	+	0.305020i
$491$	16.8190	−	9.71044i	0.759030	−	0.438226i	−0.0699175	−	0.997553i	$-0.522274\pi$
$491$	16.8190	−	9.71044i	0.759030	−	0.438226i	0.828947	+	0.559327i	$0.188940\pi$
$492$	22.3747	+	0.645107i	1.00873	+	0.0290837i
$493$	−6.82113	+	3.93818i	−0.307208	+	0.177367i
$494$	−28.3810	+	0.227136i	−1.27692	+	0.0102194i
$495$	−1.68971	+	18.7953i	−0.0759469	+	0.844785i
$496$	−2.70520	+	1.67953i	−0.121467	+	0.0754131i
$497$	−7.39546	−	4.23235i	−0.331732	−	0.189847i
$498$	−0.173301	+	4.70368i	−0.00776578	+	0.210777i
$499$	−20.1844	+	34.9603i	−0.903576	+	1.56504i	−0.0807589	+	0.996734i	$0.525734\pi$
$499$	−20.1844	+	34.9603i	−0.903576	+	1.56504i	−0.822817	+	0.568306i	$0.807599\pi$
$500$	10.6349	−	19.1206i	0.475608	−	0.855098i
$501$	6.04066	−	3.13539i	0.269877	−	0.140079i
$502$	−9.51460	−	16.1793i	−0.424657	−	0.722120i
$503$	−13.9379			−0.621460			−0.310730	−	0.950498i	$-0.600574\pi$
$503$	−13.9379			−0.621460			−0.310730	+	0.950498i	$0.600574\pi$
$504$	−12.4052	+	18.7112i	−0.552572	+	0.833465i
$505$	2.84612			0.126651
$506$	20.6084	+	35.0442i	0.916157	+	1.55790i
$507$	−10.6856	−	6.82549i	−0.474566	−	0.303131i
$508$	13.6218	+	7.57650i	0.604371	+	0.336153i
$509$	12.3589	−	21.4063i	0.547799	−	0.948816i	−0.450626	−	0.892713i	$-0.648799\pi$
$509$	12.3589	−	21.4063i	0.547799	−	0.948816i	0.998425	−	0.0561032i	$-0.0178676\pi$
$510$	11.8618	+	7.44376i	0.525248	+	0.329615i
$511$	−12.3274	+	7.17988i	−0.545332	+	0.317619i
$512$	−1.62837	−	22.5687i	−0.0719643	−	0.997407i
$513$	−40.4867	+	16.6001i	−1.78753	+	0.732912i
$514$	−13.4843	+	0.107916i	−0.594767	+	0.00475999i
$515$	−16.6727	+	9.62602i	−0.734689	+	0.424173i
$516$	15.9819	−	8.62282i	0.703564	−	0.379599i
$517$	25.9321	−	14.9719i	1.14049	−	0.658464i
$518$	−34.0090	+	20.1741i	−1.49427	+	0.886401i
$519$	1.36030	−	30.3233i	0.0597106	−	1.33104i
$520$	−8.95127	+	0.214951i	−0.392539	+	0.00942622i
$521$	−2.23052	−	1.28779i	−0.0977209	−	0.0564192i	0.450343	−	0.892856i	$-0.351302\pi$
$521$	−2.23052	−	1.28779i	−0.0977209	−	0.0564192i	−0.548064	+	0.836436i	$0.684635\pi$
$522$	0.633297	−	7.73834i	0.0277187	−	0.338698i
$523$	5.24643	+	9.08709i	0.229410	+	0.397351i	0.957634	−	0.287990i	$-0.0929868\pi$
$523$	5.24643	+	9.08709i	0.229410	+	0.397351i	−0.728223	+	0.685340i	$0.759654\pi$
$524$	−1.43090	+	0.856956i	−0.0625092	+	0.0374363i
$525$	14.8145	+	0.608134i	0.646556	+	0.0265411i
$526$	−5.83354	−	3.30603i	−0.254354	−	0.144150i
$527$	−1.71306	+	2.96710i	−0.0746218	+	0.129249i
$528$	16.7671	−	28.2003i	0.729693	−	1.22726i
$529$	−6.92598	−	11.9961i	−0.301129	−	0.521571i
$530$	−7.52338	−	4.26371i	−0.326795	−	0.185204i
$531$	0.162669	−	1.80942i	0.00705923	−	0.0785223i
$532$	39.0244	+	21.5116i	1.69192	+	0.932644i
$533$	−7.69964	+	13.3362i	−0.333509	+	0.577654i
$534$	24.8520	+	15.5957i	1.07545	+	0.674892i
$535$			6.59921i			0.285309i
$536$	0.138058	+	5.74918i	0.00596318	+	0.248327i
$537$	7.47375	−	11.7005i	0.322516	−	0.504915i
$538$	0.0406403	+	5.07806i	0.00175213	+	0.218931i
$539$	28.8326	+	16.3554i	1.24191	+	0.704477i
$540$	−12.6872	+	5.44071i	−0.545969	+	0.234131i
$541$	−13.6768	+	7.89629i	−0.588011	+	0.339488i	−0.764310	−	0.644848i	$-0.776920\pi$
$541$	−13.6768	+	7.89629i	−0.588011	+	0.339488i	0.176300	+	0.984337i	$0.443587\pi$
$542$	−4.47929	+	7.90377i	−0.192402	+	0.339496i
$543$	−10.0497	−	0.450830i	−0.431274	−	0.0193470i
$544$	−13.0071	−	20.5810i	−0.557674	−	0.882402i
$545$	−12.1849	+	7.03494i	−0.521943	+	0.301344i
$546$	−7.27650	−	13.6232i	−0.311405	−	0.583018i
$547$	8.67808	−	15.0309i	0.371048	−	0.642674i	−0.618679	−	0.785644i	$-0.712332\pi$
$547$	8.67808	−	15.0309i	0.371048	−	0.642674i	0.989727	+	0.142970i	$0.0456653\pi$
$548$	0.412809	+	25.7888i	0.0176343	+	1.10164i
$549$	−4.08620	+	45.4523i	−0.174395	+	1.93986i
$550$	−21.6674	+	0.173407i	−0.923903	+	0.00739411i
$551$	−15.4111			−0.656534
$552$	−15.4028	+	25.4401i	−0.655587	+	1.08280i
$553$	16.2526	−	28.3991i	0.691129	−	1.20765i
$554$	−6.17254	+	10.8915i	−0.262246	+	0.462737i
$555$	−24.2904	−	1.08967i	−1.03107	−	0.0462538i
$556$	−39.3209	+	0.629420i	−1.66758	+	0.0266934i
$557$	−4.51938	+	7.82780i	−0.191492	+	0.331675i	−0.945745	−	0.324910i	$-0.894666\pi$
$557$	−4.51938	+	7.82780i	−0.191492	+	0.331675i	0.754253	+	0.656584i	$0.227999\pi$
$558$	−1.44447	−	3.05284i	−0.0611492	−	0.129237i
$559$			12.4931i			0.528404i
$560$	12.4184	+	6.58850i	0.524771	+	0.278415i
$561$	1.58202	−	35.2658i	0.0667931	−	1.48892i
$562$	−8.22232	+	0.0658042i	−0.346838	+	0.00277578i
$563$			34.6829i			1.46171i	0.682532	+	0.730855i	$0.260879\pi$
$563$			34.6829i			1.46171i	−0.682532	+	0.730855i	$0.739121\pi$
$564$	18.6463	+	11.4944i	0.785151	+	0.484002i
$565$		−	7.07237i		−	0.297537i
$566$	11.3866	−	6.69615i	0.478617	−	0.281460i
$567$	−18.2258	−	15.3238i	−0.765412	−	0.643541i
$568$	0.218681	+	9.10660i	0.00917565	+	0.382104i
$569$		−	12.9050i		−	0.541004i	−0.962719	−	0.270502i	$-0.912810\pi$
$569$		−	12.9050i		−	0.541004i	0.962719	−	0.270502i	$-0.0871897\pi$
$570$	12.8173	+	24.2179i	0.536856	+	1.01437i
$571$	−11.8462			−0.495747			−0.247873	−	0.968792i	$-0.579732\pi$
$571$	−11.8462			−0.495747			−0.247873	+	0.968792i	$0.579732\pi$
$572$	11.5969	+	19.3639i	0.484889	+	0.809643i
$573$	0.509308	−	11.3533i	0.0212766	−	0.474290i
$574$	20.7941	−	12.3351i	0.867929	−	0.514856i
$575$	19.6414			0.819102
$576$	23.9792	+	0.999123i	0.999133	+	0.0416301i
$577$	7.43602	−	12.8796i	0.309565	−	0.536183i	−0.668702	−	0.743531i	$-0.733150\pi$
$577$	7.43602	−	12.8796i	0.309565	−	0.536183i	0.978267	+	0.207348i	$0.0664831\pi$
$578$	−1.87480	−	1.06250i	−0.0779814	−	0.0441943i
$579$	−1.36531	+	30.4350i	−0.0567404	+	1.26483i
$580$	−4.86123	+	0.0778149i	−0.201851	+	0.00323109i
$581$	2.55872	+	4.39317i	0.106154	+	0.182259i
$582$	4.48706	+	0.165320i	0.185995	+	0.00685271i
$583$			21.7988i			0.902816i
$584$	13.3869	+	7.30617i	0.553954	+	0.302331i
$585$	0.850358	−	9.45884i	0.0351580	−	0.391075i
$586$	−26.2891	−	14.8988i	−1.08599	−	0.615463i
$587$	17.4680	+	10.0852i	0.720983	+	0.416260i	0.815114	−	0.579300i	$-0.196674\pi$
$587$	17.4680	+	10.0852i	0.720983	+	0.416260i	−0.0941315	+	0.995560i	$0.530007\pi$
$588$	−0.514474	+	24.2433i	−0.0212166	+	0.999775i
$589$	−5.80550	+	3.35180i	−0.239211	+	0.138109i
$590$	−1.13757	+	0.00910412i	−0.0468331	+	0.000374811i
$591$	−0.986932	+	22.0003i	−0.0405970	+	0.904971i
$592$	37.2670	+	19.9538i	1.53166	+	0.820096i
$593$	15.7964	−	9.12003i	0.648679	−	0.374515i	−0.139271	−	0.990254i	$-0.544476\pi$
$593$	15.7964	−	9.12003i	0.648679	−	0.374515i	0.787950	+	0.615739i	$0.211143\pi$
$594$	27.7008	+	21.0620i	1.13658	+	0.864185i
$595$	15.1259	−	0.0575232i	0.620101	−	0.00235822i
$596$	−14.0643	−	23.4838i	−0.576096	−	0.961936i
$597$	−2.75895	+	4.31927i	−0.112916	+	0.176776i
$598$	−10.3713	−	17.6362i	−0.424115	−	0.721198i
$599$	43.4380			1.77483			0.887414	−	0.460974i	$-0.152500\pi$
$599$	43.4380			1.77483			0.887414	+	0.460974i	$0.152500\pi$
$600$	−7.63782	−	13.8891i	−0.311813	−	0.567020i
$601$	−11.0274	+	19.1000i	−0.449816	+	0.779104i	−0.998374	−	0.0570084i	$-0.981844\pi$
$601$	−11.0274	+	19.1000i	−0.449816	+	0.779104i	0.548558	+	0.836113i	$0.315177\pi$
$602$	9.60613	−	17.1014i	0.391516	−	0.697002i
$603$	−6.07518	−	0.546164i	−0.247400	−	0.0222415i
$604$	−0.567419	−	35.4476i	−0.0230879	−	1.44234i
$605$	−7.58808	−	13.1429i	−0.308499	−	0.534336i
$606$	2.78971	−	4.44545i	0.113324	−	0.180584i
$607$	−9.51792	−	5.49517i	−0.386320	−	0.223042i	0.294244	−	0.955730i	$-0.404932\pi$
$607$	−9.51792	−	5.49517i	−0.386320	−	0.223042i	−0.680565	+	0.732688i	$0.738265\pi$
$608$	−1.90569	−	47.5992i	−0.0772858	−	1.93040i
$609$	−3.89174	−	7.42862i	−0.157701	−	0.301023i
$610$	28.5755	−	0.228693i	1.15699	−	0.00925952i
$611$	−13.0505	+	7.53471i	−0.527967	+	0.304822i
$612$	23.2534	−	11.2311i	0.939962	−	0.453989i
$613$	30.5440	+	17.6346i	1.23366	+	0.712253i	0.967791	−	0.251756i	$-0.0810081\pi$
$613$	30.5440	+	17.6346i	1.23366	+	0.712253i	0.265868	+	0.964009i	$0.414341\pi$
$614$	−0.976386	+	0.574184i	−0.0394037	+	0.0231722i
$615$	14.8519	+	0.666255i	0.598885	+	0.0268660i
$616$	−0.985444	−	35.4235i	−0.0397047	−	1.42725i
$617$	−18.4395	+	10.6461i	−0.742347	+	0.428595i	−0.822922	−	0.568154i	$-0.807658\pi$
$617$	−18.4395	+	10.6461i	−0.742347	+	0.428595i	0.0805747	+	0.996749i	$0.474324\pi$
$618$	−1.30710	+	35.4770i	−0.0525794	+	1.42709i
$619$	14.2468	+	24.6762i	0.572628	+	0.991821i	0.996295	+	0.0860032i	$0.0274095\pi$
$619$	14.2468	+	24.6762i	0.572628	+	0.991821i	−0.423666	+	0.905818i	$0.639257\pi$
$620$	−1.81434	+	1.08660i	−0.0728658	+	0.0436388i
$621$	−24.9562	−	19.2923i	−1.00146	−	0.774173i
$622$	−9.94302	+	5.84720i	−0.398679	+	0.234451i
$623$	31.6908	−	0.120519i	1.26967	−	0.00482849i
$624$	−8.43813	+	14.1920i	−0.337796	+	0.568135i
$625$	−0.822992	+	1.42546i	−0.0329197	+	0.0570185i
$626$	25.9860	−	15.2816i	1.03861	−	0.610775i
$627$	37.1817	−	58.2097i	1.48489	−	2.32467i
$628$	21.1367	+	11.7563i	0.843448	+	0.469128i
$629$	45.4846			1.81359
$630$	−8.43704	+	12.2940i	−0.336140	+	0.489806i
$631$		−	0.590041i		−	0.0234892i	−0.999931	−	0.0117446i	$-0.996261\pi$
$631$		−	0.590041i		−	0.0234892i	0.999931	−	0.0117446i	$-0.00373850\pi$
$632$	−34.9700	+	0.839751i	−1.39103	+	0.0334035i
$633$	1.57774	−	0.818919i	0.0627093	−	0.0325491i
$634$	−17.2195	+	10.1263i	−0.683872	+	0.402165i
$635$	8.96555	+	5.17626i	0.355787	+	0.205414i
$636$	−14.0339	+	7.57182i	−0.556481	+	0.300242i
$637$	−14.5102	−	8.23096i	−0.574915	−	0.326122i
$638$	6.21263	+	10.5644i	0.245961	+	0.418250i
$639$	−9.62298	−	0.865114i	−0.380679	−	0.0342234i
$640$	−0.841466	−	15.0049i	−0.0332619	−	0.593122i
$641$	22.2228	−	12.8303i	0.877748	−	0.506768i	0.00783258	−	0.999969i	$-0.497507\pi$
$641$	22.2228	−	12.8303i	0.877748	−	0.506768i	0.869915	+	0.493201i	$0.164173\pi$
$642$	10.3075	+	6.46842i	0.406806	+	0.255288i
$643$	−1.91834	−	3.32266i	−0.0756518	−	0.131033i	0.825718	−	0.564084i	$-0.190770\pi$
$643$	−1.91834	−	3.32266i	−0.0756518	−	0.131033i	−0.901370	+	0.433051i	$0.857437\pi$
$644$	0.636268	+	32.1162i	0.0250725	+	1.26556i
$645$	10.7050	−	5.55641i	0.421510	−	0.218784i
$646$	−25.9828	−	44.1832i	−1.02228	−	1.73837i
$647$	15.7161	−	27.2211i	0.617864	−	1.07017i	−0.372011	−	0.928228i	$-0.621332\pi$
$647$	15.7161	−	27.2211i	0.617864	−	1.07017i	0.989875	−	0.141943i	$-0.0453351\pi$
$648$	−3.93769	+	25.1494i	−0.154687	+	0.987963i
$649$	1.43384	+	2.48349i	0.0562833	+	0.0974856i
$650$	10.9043	−	0.0872683i	0.427701	−	0.00342294i
$651$	−3.08173	−	1.95200i	−0.120782	−	0.0765051i
$652$	−17.0773	+	0.273360i	−0.668797	+	0.0107056i
$653$	24.8667	−	43.0704i	0.973109	−	1.68548i	0.287072	−	0.957909i	$-0.407318\pi$
$653$	24.8667	−	43.0704i	0.973109	−	1.68548i	0.686038	−	0.727566i	$-0.259348\pi$
$654$	−0.955264	+	25.9275i	−0.0373538	+	1.01385i
$655$	−0.959352	+	0.553882i	−0.0374850	+	0.0216420i
$656$	−22.7861	−	12.2003i	−0.889649	−	0.476343i
$657$	−9.30986	+	13.2284i	−0.363212	+	0.516087i
$658$	23.6579	−	0.279315i	0.922281	−	0.0108888i
$659$	12.7723	+	7.37411i	0.497540	+	0.287255i	0.727697	−	0.685899i	$-0.240591\pi$
$659$	12.7723	+	7.37411i	0.497540	+	0.287255i	−0.230157	+	0.973153i	$0.573924\pi$
$660$	11.4346	−	18.5492i	0.445090	−	0.722028i
$661$		−	17.4631i		−	0.679236i	−0.940563	−	0.339618i	$-0.889702\pi$
$661$		−	17.4631i		−	0.679236i	0.940563	−	0.339618i	$-0.110298\pi$
$662$	−13.7433	+	8.08204i	−0.534149	+	0.314117i
$663$	−0.796163	+	17.7477i	−0.0309204	+	0.689265i
$664$	2.60373	−	4.77075i	0.101044	−	0.185141i
$665$	25.6869	+	14.7004i	0.996095	+	0.570056i
$666$	−25.5110	+	36.8720i	−0.988531	+	1.42876i
$667$	−5.55471	−	9.62104i	−0.215079	−	0.372528i
$668$	−7.85777	+	0.125781i	−0.304026	+	0.00486663i
$669$	−9.24337	+	14.4709i	−0.357369	+	0.559479i
$670$	0.0305673	+	3.81942i	0.00118092	+	0.147557i
$671$	−36.0178	−	62.3847i	−1.39045	−	2.40833i
$672$	22.4631	−	12.9387i	0.866531	−	0.499123i
$673$	19.5526	−	33.8661i	0.753697	−	1.30544i	−0.192323	−	0.981332i	$-0.561602\pi$
$673$	19.5526	−	33.8661i	0.753697	−	1.30544i	0.946020	−	0.324109i	$-0.105064\pi$
$674$	−7.82412	−	4.43415i	−0.301374	−	0.170797i
$675$	15.5554	−	6.37793i	0.598728	−	0.245487i
$676$	7.52252	+	12.5607i	0.289328	+	0.483105i
$677$	−12.6991			−0.488068			−0.244034	−	0.969767i	$-0.578471\pi$
$677$	−12.6991			−0.488068			−0.244034	+	0.969767i	$0.578471\pi$
$678$	−11.0466	−	6.93220i	−0.424242	−	0.266230i
$679$	4.19085	−	2.44089i	0.160830	−	0.0936727i
$680$	−8.41905	−	13.8058i	−0.322856	−	0.529429i
$681$	9.55351	+	18.4059i	0.366091	+	0.705314i
$682$	4.63805	+	2.62851i	0.177600	+	0.100651i
$683$	−19.3730	−	11.1850i	−0.741286	−	0.427981i	0.0812509	−	0.996694i	$-0.474108\pi$
$683$	−19.3730	−	11.1850i	−0.741286	−	0.427981i	−0.822537	+	0.568712i	$0.807442\pi$
$684$	50.3900	+	3.71815i	1.92671	+	0.142167i
$685$			17.1304i			0.654520i
$686$	13.5336	+	22.4241i	0.516716	+	0.856157i
$687$	−2.06018	+	3.22531i	−0.0786009	+	0.123053i
$688$	−20.9583	+	0.671141i	−0.799026	+	0.0255870i
$689$		−	10.9704i		−	0.417939i
$690$	−10.4992	+	16.7307i	−0.399699	+	0.636928i
$691$	6.58946			0.250675			0.125338	−	0.992114i	$-0.459999\pi$
$691$	6.58946			0.250675			0.125338	+	0.992114i	$0.459999\pi$
$692$	−17.0367	+	30.6304i	−0.647638	+	1.16439i
$693$	37.4483	+	3.22312i	1.42254	+	0.122436i
$694$	20.0901	+	34.1628i	0.762611	+	1.29680i
$695$	−26.1192			−0.990758
$696$	−4.64334	+	7.66920i	−0.176005	+	0.290700i
$697$	−27.8107			−1.05340
$698$	−3.33393	+	0.0266819i	−0.126191	+	0.00100992i
$699$	11.9441	+	23.0116i	0.451768	+	0.870380i
$700$	−14.9936	−	8.26497i	−0.566704	−	0.312386i
$701$	−48.4811			−1.83111			−0.915553	−	0.402198i	$-0.868246\pi$
$701$	−48.4811			−1.83111			−0.915553	+	0.402198i	$0.868246\pi$
$702$	−13.9406	−	10.5996i	−0.526154	−	0.400056i
$703$	77.0731	+	44.4982i	2.90687	+	1.67828i
$704$	−31.8614	+	20.4949i	−1.20082	+	0.772431i
$705$	12.2606	+	7.83150i	0.461760	+	0.294951i
$706$	1.16147	−	2.04942i	0.0437124	−	0.0771311i
$707$	−0.0215581	−	5.66876i	−0.000810774	−	0.213196i
$708$	−1.10081	+	1.78574i	−0.0413709	+	0.0671121i
$709$		−	17.1881i		−	0.645514i	−0.946482	−	0.322757i	$-0.895390\pi$
$709$		−	17.1881i		−	0.645514i	0.946482	−	0.322757i	$-0.104610\pi$
$710$	0.0484180	+	6.04990i	0.00181710	+	0.227049i
$711$	3.32210	−	36.9529i	0.124589	−	1.38584i
$712$	−17.6391	−	28.9251i	−0.661052	−	1.08401i
$713$	−4.18502	−	2.41622i	−0.156730	−	0.0904882i
$714$	14.7363	−	23.6821i	0.551492	−	0.886279i
$715$	7.49548	+	12.9826i	0.280315	+	0.485520i
$716$	−13.7537	+	8.23699i	−0.514000	+	0.307831i
$717$	−32.3318	+	16.7817i	−1.20745	+	0.626724i
$718$	−44.3312	−	25.1237i	−1.65442	−	0.937610i
$719$	−6.44315	−	11.1599i	−0.240289	−	0.416192i	0.720508	−	0.693447i	$-0.243909\pi$
$719$	−6.44315	−	11.1599i	−0.240289	−	0.416192i	−0.960797	+	0.277255i	$0.910575\pi$
$720$	15.9136	+	0.918409i	0.593067	+	0.0342271i
$721$	19.2989	+	33.1351i	0.718730	+	1.23401i
$722$	−0.587573	−	73.4180i	−0.0218672	−	2.73233i
$723$	−8.52508	+	4.42492i	−0.317051	+	0.164565i
$724$	10.1515	+	5.64629i	0.377277	+	0.209843i
$725$	5.92110			0.219904
$726$	−27.9661	−	1.03037i	−1.03792	−	0.0382407i
$727$	−16.5790	−	9.57190i	−0.614882	−	0.355002i	0.159992	−	0.987118i	$-0.448853\pi$
$727$	−16.5790	−	9.57190i	−0.614882	−	0.355002i	−0.774874	+	0.632116i	$0.782187\pi$
$728$	0.495931	+	17.8271i	0.0183804	+	0.660716i
$729$	−26.0291	−	7.17519i	−0.964043	−	0.265748i
$730$	8.81240	+	4.99424i	0.326162	+	0.184845i
$731$	−19.5395	+	11.2811i	−0.722694	+	0.417247i
$732$	27.6520	−	44.8573i	1.02205	−	1.65797i
$733$	−1.70877	−	0.986557i	−0.0631148	−	0.0364393i	0.468111	−	0.883670i	$-0.344935\pi$
$733$	−1.70877	−	0.986557i	−0.0631148	−	0.0364393i	−0.531225	+	0.847231i	$0.678268\pi$
$734$	−11.7061	+	20.6556i	−0.432082	+	0.762414i
$735$	−0.599367	+	16.0942i	−0.0221080	+	0.593642i
$736$	29.0290	−	18.3462i	1.07002	−	0.676248i
$737$	8.33837	−	4.81416i	0.307148	−	0.177332i
$738$	15.5982	−	22.5446i	0.574177	−	0.829879i
$739$	−14.9952	+	25.9724i	−0.551606	+	0.955409i	0.446553	+	0.894757i	$0.352651\pi$
$739$	−14.9952	+	25.9724i	−0.551606	+	0.955409i	−0.998159	+	0.0606519i	$0.980682\pi$
$740$	24.5364	+	13.6472i	0.901976	+	0.501681i
$741$	−18.7119	+	29.2944i	−0.687399	+	1.07616i
$742$	−8.43527	+	15.0170i	−0.309669	+	0.551291i
$743$	−13.7896	−	23.8844i	−0.505893	−	0.876232i	−0.999977	−	0.00681772i	$-0.997830\pi$
$743$	−13.7896	−	23.8844i	−0.505893	−	0.876232i	0.494084	−	0.869414i	$-0.335503\pi$
$744$	−0.0811922	+	3.89895i	−0.00297665	+	0.142943i
$745$	−9.09028	−	15.7448i	−0.333042	−	0.576846i
$746$	−31.6278	+	0.253121i	−1.15797	+	0.00926741i
$747$	4.71425	+	3.31780i	0.172485	+	0.121392i
$748$	−19.8136	+	35.6230i	−0.724456	+	1.30250i
$749$	13.1440	−	0.0499860i	0.480271	−	0.00182645i
$750$	−12.5347	−	23.6839i	−0.457702	−	0.864815i
$751$	6.41325	+	3.70269i	0.234023	+	0.135113i	0.612427	−	0.790528i	$-0.290194\pi$
$751$	6.41325	+	3.70269i	0.234023	+	0.135113i	−0.378404	+	0.925641i	$0.623527\pi$
$752$	−13.3412	−	21.4885i	−0.486502	−	0.783605i
$753$	−22.9649	−	1.03021i	−0.836888	−	0.0375428i
$754$	−3.12655	−	5.31662i	−0.113862	−	0.193620i
$755$		−	23.5463i		−	0.856938i
$756$	10.9326	+	25.2285i	0.397617	+	0.917552i
$757$		−	5.37716i		−	0.195436i	−0.995214	−	0.0977181i	$-0.968846\pi$
$757$		−	5.37716i		−	0.195436i	0.995214	−	0.0977181i	$-0.0311544\pi$
$758$	1.43645	−	0.844732i	0.0521741	−	0.0306820i
$759$	49.7415	+	2.23140i	1.80550	+	0.0809949i
$760$	−0.759552	−	31.6302i	−0.0275518	−	1.14735i
$761$	32.7779	+	18.9244i	1.18820	+	0.686007i	0.957897	−	0.287112i	$-0.0926952\pi$
$761$	32.7779	+	18.9244i	1.18820	+	0.686007i	0.230302	+	0.973119i	$0.426029\pi$
$762$	16.8729	−	8.92993i	0.611239	−	0.323497i
$763$	14.1042	+	24.2160i	0.510605	+	0.876677i
$764$	−6.37867	+	11.4683i	−0.230772	+	0.414907i
$765$	15.5616	−	7.21122i	0.562632	−	0.260722i
$766$	−0.125948	−	15.7374i	−0.00455068	−	0.568614i
$767$	−0.721591	−	1.24983i	−0.0260552	−	0.0451288i
$768$	−24.2615	−	13.3932i	−0.875462	−	0.483287i
$769$	15.0627	+	26.0894i	0.543176	+	0.940808i	0.998719	+	0.0505944i	$0.0161116\pi$
$769$	15.0627	+	26.0894i	0.543176	+	0.940808i	−0.455544	+	0.890213i	$0.650555\pi$
$770$	−0.277861	−	23.5347i	−0.0100134	−	0.848133i
$771$	−8.89035	+	13.9183i	−0.320178	+	0.501254i
$772$	17.0994	−	30.7432i	0.615423	−	1.10647i
$773$	10.1183	−	17.5255i	0.363931	−	0.630347i	−0.624673	−	0.780887i	$-0.714768\pi$
$773$	10.1183	−	17.5255i	0.363931	−	0.630347i	0.988604	+	0.150539i	$0.0481010\pi$
$774$	1.81411	−	22.1669i	0.0652069	−	0.796772i
$775$	2.23053	−	1.28780i	0.0801231	−	0.0462591i
$776$	−4.55104	−	2.48382i	−0.163373	−	0.0891640i
$777$	−1.98636	+	48.3887i	−0.0712602	+	1.73593i
$778$	35.5763	+	20.1621i	1.27547	+	0.722846i
$779$	−47.1248	−	27.2075i	−1.68842	−	0.974810i
$780$	−5.75452	+	9.33502i	−0.206045	+	0.334247i
$781$	13.2078	−	7.62555i	0.472614	−	0.272864i
$782$	18.2181	−	32.1461i	0.651479	−	1.14954i
$783$	−7.52330	−	5.81587i	−0.268861	−	0.207842i
$784$	13.0286	−	24.7842i	0.465307	−	0.885150i
$785$	13.9117	+	8.03190i	0.496529	+	0.286671i
$786$	−0.0752108	+	2.04135i	−0.00268268	+	0.0728126i
$787$	−45.5566			−1.62392			−0.811958	−	0.583716i	$-0.801598\pi$
$787$	−45.5566			−1.62392			−0.811958	+	0.583716i	$0.801598\pi$
$788$	12.3605	−	22.2231i	0.440326	−	0.791665i
$789$	−7.28883	+	3.78325i	−0.259489	+	0.134687i
$790$	−23.2320	+	0.185929i	−0.826559	+	0.00661505i
$791$	−14.0864	+	0.0535700i	−0.500855	+	0.00190473i
$792$	−17.7648	−	36.0417i	−0.631244	−	1.28069i
$793$	18.1262	+	31.3955i	0.643680	+	1.11489i
$794$	−7.04045	+	12.4230i	−0.249856	+	0.440874i
$795$	−9.40023	+	4.87916i	−0.333392	+	0.173046i
$796$	5.07721	−	3.04070i	0.179957	−	0.107775i
$797$	−6.02659	−	10.4384i	−0.213473	−	0.369745i	0.739326	−	0.673347i	$-0.235144\pi$
$797$	−6.02659	−	10.4384i	−0.213473	−	0.369745i	−0.952799	+	0.303602i	$0.901811\pi$
$798$	48.1389	−	25.7123i	1.70410	−	0.910204i
$799$	−23.5688	−	13.6075i	−0.833805	−	0.481397i
$800$	0.732185	+	18.2881i	0.0258866	+	0.646582i
$801$	32.6038	−	15.1085i	1.15200	−	0.533832i
$802$	−31.3373	+	0.250796i	−1.10656	+	0.00885592i
$803$		−	25.5338i		−	0.901067i
$804$	5.99565	+	3.69598i	0.211450	+	0.130347i
$805$	0.0811350	+	21.3347i	0.00285963	+	0.751950i
$806$	−2.33413	−	1.32282i	−0.0822161	−	0.0465942i
$807$	5.24149	+	3.34802i	0.184509	+	0.117856i
$808$	−5.17403	+	3.15522i	−0.182022	+	0.111000i
$809$	12.0804	+	6.97461i	0.424723	+	0.245214i	0.697096	−	0.716978i	$-0.254475\pi$
$809$	12.0804	+	6.97461i	0.424723	+	0.245214i	−0.272373	+	0.962192i	$0.587808\pi$
$810$	−2.88232	+	16.6596i	−0.101274	+	0.585357i
$811$	−18.0126			−0.632507			−0.316254	−	0.948675i	$-0.602425\pi$
$811$	−18.0126			−0.632507			−0.316254	+	0.948675i	$0.602425\pi$
$812$	0.191810	+	9.68177i	0.00673120	+	0.339763i
$813$	5.12586	+	9.87553i	0.179772	+	0.346350i
$814$	−0.566403	−	70.7727i	−0.0198524	−	2.48058i
$815$	−11.3437			−0.397352
$816$	−29.8160	−	0.382207i	−1.04377	−	0.0133799i
$817$	−44.1458			−1.54447
$818$	−1.10373	+	0.649073i	−0.0385911	+	0.0226943i
$819$	−18.8461	−	1.62206i	−0.658537	−	0.0566793i
$820$	−15.0023	−	8.34431i	−0.523902	−	0.291396i
$821$	43.4662			1.51698			0.758491	−	0.651683i	$-0.225937\pi$
$821$	43.4662			1.51698			0.758491	+	0.651683i	$0.225937\pi$
$822$	26.7566	+	16.7909i	0.933244	+	0.585651i
$823$		−	21.7960i		−	0.759761i	−0.925036	−	0.379881i	$-0.875965\pi$
$823$		−	21.7960i		−	0.759761i	0.925036	−	0.379881i	$-0.124035\pi$
$824$	19.6384	−	35.9829i	0.684136	−	1.25352i
$825$	−14.2856	+	22.3648i	−0.497361	+	0.778642i
$826$	0.0267498	+	2.26569i	0.000930743	+	0.0788335i
$827$		−	24.9032i		−	0.865969i	−0.901401	−	0.432984i	$-0.857461\pi$
$827$		−	24.9032i		−	0.865969i	0.901401	−	0.432984i	$-0.142539\pi$
$828$	15.8412	+	32.7983i	0.550518	+	1.13982i
$829$	−13.0828	−	7.55338i	−0.454385	−	0.262340i	0.255295	−	0.966863i	$-0.417827\pi$
$829$	−13.0828	−	7.55338i	−0.454385	−	0.262340i	−0.709681	+	0.704524i	$0.751161\pi$
$830$	1.77982	−	3.14051i	0.0617784	−	0.109009i
$831$	7.06353	+	13.6086i	0.245031	+	0.472079i
$832$	16.0345	−	10.3142i	0.555895	−	0.357580i
$833$	−0.229144	−	30.1266i	−0.00793936	−	1.04383i
$834$	−25.6016	+	40.7965i	−0.886509	+	1.41267i
$835$	−5.21958			−0.180631
$836$	−68.4242	+	40.9787i	−2.36650	+	1.41728i
$837$	−4.09901	−	0.554623i	−0.141682	−	0.0191706i
$838$	−25.1599	+	44.3950i	−0.869134	+	1.53360i
$839$	4.58762	−	7.94599i	0.158382	−	0.274326i	−0.775903	−	0.630852i	$-0.782706\pi$
$839$	4.58762	−	7.94599i	0.158382	−	0.274326i	0.934285	+	0.356526i	$0.116039\pi$
$840$	15.0550	−	8.35367i	0.519446	−	0.288229i
$841$	12.8255	+	22.2144i	0.442258	+	0.766013i
$842$	11.6053	−	0.0928783i	0.399944	−	0.00320080i
$843$	−5.42107	+	8.48695i	−0.186712	+	0.292306i
$844$	−2.05234	+	0.0328523i	−0.0706444	+	0.00113082i
$845$	4.86209	+	8.42138i	0.167261	+	0.289704i
$846$	24.2499	−	11.4740i	0.833729	−	0.394483i
$847$	−26.1200	+	15.2131i	−0.897494	+	0.522729i
$848$	18.4037	−	0.589338i	0.631987	−	0.0202379i
$849$	0.725035	−	16.1622i	0.0248831	−	0.554684i
$850$	9.98289	+	16.9757i	0.342410	+	0.582261i
$851$			64.1550i			2.19920i
$852$	9.49701	+	5.85437i	0.325362	+	0.200567i
$853$	27.9096	+	16.1136i	0.955607	+	0.551720i	0.894818	−	0.446431i	$-0.147305\pi$
$853$	27.9096	+	16.1136i	0.955607	+	0.551720i	0.0607889	+	0.998151i	$0.480638\pi$
$854$	−0.671947	−	56.9136i	−0.0229936	−	1.94754i
$855$	33.4238	+	3.00483i	1.14307	+	0.102763i
$856$	−7.31592	−	11.9969i	−0.250053	−	0.410045i
$857$	−35.0882	+	20.2582i	−1.19859	+	0.692006i	−0.960241	−	0.279174i	$-0.909940\pi$
$857$	−35.0882	+	20.2582i	−1.19859	+	0.692006i	−0.238349	+	0.971180i	$0.576606\pi$
$858$	27.6249	+	1.01780i	0.943097	+	0.0347471i
$859$	−0.602178	+	1.04300i	−0.0205460	+	0.0355868i	−0.876116	−	0.482101i	$-0.839874\pi$
$859$	−0.602178	+	1.04300i	−0.0205460	+	0.0355868i	0.855570	+	0.517688i	$0.173207\pi$
$860$	−13.9252	+	0.222905i	−0.474847	+	0.00760100i
$861$	1.21452	−	29.5863i	0.0413907	−	1.00830i
$862$	0.137509	+	17.1820i	0.00468359	+	0.585221i
$863$	4.02458	+	6.97078i	0.136998	+	0.237288i	0.926359	−	0.376642i	$-0.122921\pi$
$863$	4.02458	+	6.97078i	0.136998	+	0.237288i	−0.789361	+	0.613930i	$0.789588\pi$
$864$	17.0328	−	23.9559i	0.579466	−	0.814996i
$865$	−11.6395	+	20.1601i	−0.395754	+	0.685465i
$866$	5.61604	−	3.30263i	0.190841	−	0.112228i
$867$	−2.34251	+	1.21587i	−0.0795557	+	0.0412931i
$868$	2.17798	+	3.60549i	0.0739253	+	0.122378i
$869$	29.2827	+	50.7191i	0.993347	+	1.72053i
$870$	−3.16511	+	5.04365i	−0.107307	+	0.170996i
$871$	−4.19634	+	2.42276i	−0.142188	+	0.0820920i
$872$	14.3523	−	26.2972i	0.486029	−	0.890537i
$873$	3.16500	−	4.49714i	0.107119	−	0.152205i
$874$	62.3193	−	36.6482i	2.10798	−	1.23964i
$875$	−25.1206	−	14.3763i	−0.849231	−	0.486007i
$876$	16.4384	−	8.86914i	0.555403	−	0.299661i
$877$	−48.1009	−	27.7711i	−1.62425	−	0.937762i	−0.985765	−	0.168129i	$-0.946228\pi$
$877$	−48.1009	−	27.7711i	−1.62425	−	0.937762i	−0.638486	−	0.769633i	$-0.720439\pi$
$878$	−4.29995	−	7.31196i	−0.145116	−	0.246767i
$879$	−32.8474	+	17.0494i	−1.10792	+	0.575061i
$880$	−21.3766	+	13.2717i	−0.720606	+	0.447389i
$881$			24.7208i			0.832866i	0.909166	+	0.416433i	$0.136720\pi$
$881$			24.7208i			0.832866i	−0.909166	+	0.416433i	$0.863280\pi$
$882$	24.5506	+	16.7114i	0.826660	+	0.562701i
$883$	−19.1659			−0.644983			−0.322492	−	0.946572i	$-0.604520\pi$
$883$	−19.1659			−0.644983			−0.322492	+	0.946572i	$0.604520\pi$
$884$	9.97131	−	17.9275i	0.335371	−	0.602966i
$885$	−0.750014	+	1.17418i	−0.0252115	+	0.0394697i
$886$	23.4328	+	39.8470i	0.787242	+	1.33869i
$887$	1.10665	−	1.91678i	0.0371578	−	0.0643592i	−0.846848	−	0.531834i	$-0.821503\pi$
$887$	1.10665	−	1.91678i	0.0371578	−	0.0643592i	0.884006	+	0.467475i	$0.154836\pi$
$888$	45.3662	−	24.9475i	1.52239	−	0.837184i
$889$	10.2419	−	17.8964i	0.343503	−	0.600224i
$890$	−11.4064	−	19.3963i	−0.382343	−	0.650165i
$891$	40.1185	−	14.3848i	1.34402	−	0.481910i
$892$	17.0103	−	10.1873i	0.569546	−	0.341097i
$893$	−26.6247	−	46.1153i	−0.890961	−	1.54319i
$894$	−33.5025	−	1.23435i	−1.12049	−	0.0412830i
$895$	−9.22121	+	5.32387i	−0.308231	+	0.177957i
$896$	−29.8797	+	1.78965i	−0.998211	+	0.0597879i
$897$	−25.0327	−	1.12297i	−0.835819	−	0.0374948i
$898$	4.24940	+	7.22601i	0.141804	+	0.241135i
$899$	−1.26162	−	0.728396i	−0.0420773	−	0.0242934i
$900$	−19.3604	−	1.42855i	−0.645346	−	0.0476184i
$901$	17.1579	−	9.90611i	0.571612	−	0.330020i
$902$	0.346315	+	43.2725i	0.0115310	+	1.44082i
$903$	−11.1481	−	21.2797i	−0.370985	−	0.708143i
$904$	7.84047	+	12.8571i	0.260770	+	0.427619i
$905$	6.68145	+	3.85754i	0.222099	+	0.128229i
$906$	−36.7778	−	23.0797i	−1.22186	−	0.766770i
$907$	−5.03397	−	8.71910i	−0.167150	−	0.289513i	0.770266	−	0.637722i	$-0.220123\pi$
$907$	−5.03397	−	8.71910i	−0.167150	−	0.289513i	−0.937417	+	0.348209i	$0.886790\pi$
$908$	−0.383255	−	23.9426i	−0.0127188	−	0.794562i
$909$	−2.70256	−	5.83206i	−0.0896383	−	0.193437i
$910$	0.139835	+	11.8440i	0.00463550	+	0.392625i
$911$	16.5753	−	28.7093i	0.549165	−	0.951182i	−0.449167	−	0.893448i	$-0.648279\pi$
$911$	16.5753	−	28.7093i	0.549165	−	0.951182i	0.998332	−	0.0577338i	$-0.0183875\pi$
$912$	−50.1489	−	29.8170i	−1.66060	−	0.987340i
$913$	−9.09958			−0.301152
$914$	−5.74064	+	3.37590i	−0.189883	+	0.111665i
$915$	18.8402	−	29.4952i	0.622837	−	0.975081i
$916$	3.79129	−	2.27057i	0.125268	−	0.0750218i
$917$	1.11046	+	1.90660i	0.0366707	+	0.0629614i
$918$	3.98977	−	31.3746i	0.131682	−	1.03552i
$919$	8.73655	−	5.04405i	0.288192	−	0.166388i	−0.348934	−	0.937147i	$-0.613456\pi$
$919$	8.73655	−	5.04405i	0.288192	−	0.166388i	0.637126	+	0.770759i	$0.280123\pi$
$920$	19.4728	−	11.8749i	0.641999	−	0.391503i
$921$	−0.0621705	+	1.38588i	−0.00204859	+	0.0456663i
$922$	−0.200673	−	25.0744i	−0.00660882	−	0.825780i
$923$	−6.64693	+	3.83761i	−0.218786	+	0.126316i
$924$	−37.0321	−	22.6343i	−1.21827	−	0.744614i
$925$	−29.6123	−	17.0967i	−0.973647	−	0.562135i
$926$	−12.9305	+	22.8161i	−0.424923	+	0.749783i
$927$	35.5568	+	25.0241i	1.16784	+	0.821901i
$928$	8.75109	−	5.53065i	0.287269	−	0.181552i
$929$			2.67071i			0.0876231i	0.999040	+	0.0438115i	$0.0139501\pi$
$929$			2.67071i			0.0876231i	−0.999040	+	0.0438115i	$0.986050\pi$
$930$	−0.0953654	+	2.58838i	−0.00312715	+	0.0848764i
$931$	29.0849	−	51.2733i	0.953220	−	1.68041i
$932$	−0.479159	−	29.9338i	−0.0156954	−	0.980515i
$933$	−0.633113	+	14.1131i	−0.0207272	+	0.462042i
$934$	−14.5101	+	25.6033i	−0.474785	+	0.837764i
$935$	−13.5366	+	23.4461i	−0.442695	+	0.766770i
$936$	8.94024	+	18.1382i	0.292221	+	0.592866i
$937$	17.2118			0.562285			0.281142	−	0.959666i	$-0.409287\pi$
$937$	17.2118			0.562285			0.281142	+	0.959666i	$0.409287\pi$
$938$	7.60711	−	0.0898128i	0.248381	−	0.00293249i
$939$	1.65463	−	36.8844i	0.0539969	−	1.20368i
$940$	−8.63126	−	14.4120i	−0.281521	−	0.470069i
$941$	0.453980			0.0147993			0.00739966	−	0.999973i	$-0.497645\pi$
$941$	0.453980			0.0147993			0.00739966	+	0.999973i	$0.497645\pi$
$942$	26.1813	−	13.8564i	0.853032	−	0.451466i
$943$		−	39.2262i		−	1.27738i
$944$	2.05793	−	1.27767i	0.0669799	−	0.0415846i
$945$	6.99205	+	16.8701i	0.227451	+	0.548785i
$946$	17.7964	+	30.2624i	0.578611	+	0.983914i
$947$		−	21.2411i		−	0.690244i	−0.938558	−	0.345122i	$-0.887838\pi$
$947$		−	21.2411i		−	0.690244i	0.938558	−	0.345122i	$-0.112162\pi$
$948$	−22.4812	+	36.4692i	−0.730156	+	1.18447i
$949$			12.8500i			0.417129i
$950$	0.308372	+	38.5314i	0.0100049	+	1.25012i
$951$	−1.09643	+	24.4412i	−0.0355543	+	0.792562i
$952$	−27.4340	+	16.8732i	−0.889142	+	0.546865i
$953$			15.4670i			0.501026i	0.968113	+	0.250513i	$0.0805993\pi$
$953$			15.4670i			0.501026i	−0.968113	+	0.250513i	$0.919401\pi$
$954$	−1.59300	+	19.4650i	−0.0515752	+	0.630204i
$955$	−4.35790	+	7.54811i	−0.141018	+	0.244251i
$956$	42.0575	−	0.673226i	1.36024	−	0.0217737i
$957$	14.9951	+	0.672681i	0.484723	+	0.0217447i
$958$	45.6612	+	25.8775i	1.47525	+	0.836064i
$959$	34.1195	−	0.129755i	1.10178	−	0.00419001i
$960$	−15.9694	−	9.15218i	−0.515410	−	0.295385i
$961$	30.3663			0.979559
$962$	0.285046	+	35.6168i	0.00919024	+	1.14833i
$963$	13.5226	−	6.26635i	0.435761	−	0.201930i
$964$	11.0895	−	0.177513i	0.357170	−	0.00571731i
$965$	11.6823	−	20.2344i	0.376067	−	0.651368i
$966$	33.4030	+	20.7852i	1.07472	+	0.668752i
$967$	−24.6123	+	14.2099i	−0.791479	+	0.456961i	−0.840483	−	0.541838i	$-0.817729\pi$
$967$	−24.6123	+	14.2099i	−0.791479	+	0.456961i	0.0490040	+	0.998799i	$0.484395\pi$
$968$	28.3649	+	15.4807i	0.911683	+	0.497569i
$969$	−62.7135	−	2.81333i	−2.01465	−	0.0903771i
$970$	−2.99588	−	1.69785i	−0.0961920	−	0.0545148i
$971$	18.2195	−	10.5190i	0.584690	−	0.337571i	−0.178305	−	0.983975i	$-0.557061\pi$
$971$	18.2195	−	10.5190i	0.584690	−	0.337571i	0.762995	+	0.646404i	$0.223728\pi$
$972$	23.1960	+	20.8314i	0.744011	+	0.668167i
$973$	0.197841	+	52.0230i	0.00634250	+	1.66778i
$974$	30.6347	−	0.245173i	0.981600	−	0.00785587i
$975$	7.18932	−	11.2552i	0.230242	−	0.360456i
$976$	−51.6947	+	32.0947i	−1.65471	+	1.02733i
$977$			24.3735i			0.779777i	0.920862	+	0.389889i	$0.127486\pi$
$977$			24.3735i			0.779777i	−0.920862	+	0.389889i	$0.872514\pi$
$978$	−11.1189	+	17.7181i	−0.355543	+	0.566563i
$979$	−28.3611	+	49.1228i	−0.906424	+	1.56997i
$980$	8.91558	−	16.3204i	0.284798	−	0.521335i
$981$	25.9858	+	18.2883i	0.829663	+	0.583900i
$982$	−13.5418	+	23.8948i	−0.432138	+	0.762513i
$983$	19.8924	+	34.4546i	0.634469	+	1.09893i	0.986627	+	0.162992i	$0.0521144\pi$
$983$	19.8924	+	34.4546i	0.634469	+	1.09893i	−0.352159	+	0.935940i	$0.614552\pi$
$984$	−27.7382	+	15.2537i	−0.884263	+	0.486269i
$985$	8.44471	−	14.6267i	0.269071	−	0.466044i
$986$	5.49205	−	9.69080i	0.174903	−	0.308618i
$987$	15.5055	−	24.4794i	0.493547	−	0.779187i
$988$	34.4349	−	20.6228i	1.09552	−	0.656099i
$989$	−15.9117	−	27.5600i	−0.505964	−	0.876356i
$990$	−11.4142	−	24.1237i	−0.362768	−	0.766700i
$991$	43.8057	+	25.2912i	1.39153	+	0.803402i	0.993485	−	0.113962i	$-0.0363544\pi$
$991$	43.8057	+	25.2912i	1.39153	+	0.803402i	0.398048	+	0.917365i	$0.369688\pi$
$992$	2.09374	−	3.98675i	0.0664763	−	0.126579i
$993$	−0.875093	+	19.5072i	−0.0277702	+	0.619043i
$994$	12.0495	−	0.142262i	0.382188	−	0.00451228i
$995$	3.40403	−	1.96532i	0.107915	−	0.0623048i
$996$	−3.16074	−	5.85824i	−0.100152	−	0.185625i
$997$	1.96229	−	1.13293i	0.0621462	−	0.0358801i	−0.468605	−	0.883408i	$-0.655243\pi$
$997$	1.96229	−	1.13293i	0.0621462	−	0.0358801i	0.530751	+	0.847528i	$0.321910\pi$
$998$	−0.456883	−	57.0882i	−0.0144624	−	1.80709i
$999$	20.8323	+	50.8089i	0.659106	+	1.60752i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bt.a.11.16	✓	184
7.2	even	3		504.2.cy.a.443.77	yes	184
8.3	odd	2	inner	504.2.bt.a.11.77	yes	184
9.5	odd	6		504.2.cy.a.347.47	yes	184
56.51	odd	6		504.2.cy.a.443.47	yes	184
63.23	odd	6	inner	504.2.bt.a.275.77	yes	184
72.59	even	6		504.2.cy.a.347.77	yes	184
504.275	even	6	inner	504.2.bt.a.275.16	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.16	✓	184	1.1	even	1	trivial
504.2.bt.a.11.77	yes	184	8.3	odd	2	inner
504.2.bt.a.275.16	yes	184	504.275	even	6	inner
504.2.bt.a.275.77	yes	184	63.23	odd	6	inner
504.2.cy.a.347.47	yes	184	9.5	odd	6
504.2.cy.a.347.77	yes	184	72.59	even	6
504.2.cy.a.443.47	yes	184	56.51	odd	6
504.2.cy.a.443.77	yes	184	7.2	even	3

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.bt (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.21905 + 0.716886i) q^{2} +(-0.0776217 + 1.73031i) q^{3} +(0.972150 - 1.74783i) q^{4} +(0.664172 - 1.15038i) q^{5} +(-1.14581 - 2.16498i) q^{6} +(-2.29630 - 1.31415i) q^{7} +(0.0679007 + 2.82761i) q^{8} +(-2.98795 - 0.268619i) q^{9} +O(q^{10})\)	\(q+(-1.21905 + 0.716886i) q^{2} +(-0.0776217 + 1.73031i) q^{3} +(0.972150 - 1.74783i) q^{4} +(0.664172 - 1.15038i) q^{5} +(-1.14581 - 2.16498i) q^{6} +(-2.29630 - 1.31415i) q^{7} +(0.0679007 + 2.82761i) q^{8} +(-2.98795 - 0.268619i) q^{9} +(0.0150339 + 1.87850i) q^{10} +(4.10105 - 2.36775i) q^{11} +(2.94884 + 1.81779i) q^{12} +(-2.06388 + 1.19158i) q^{13} +(3.74140 - 0.0441726i) q^{14} +(1.93896 + 1.23852i) q^{15} +(-2.10985 - 3.39831i) q^{16} +(-3.72731 - 2.15196i) q^{17} +(3.83502 - 1.81456i) q^{18} +(-4.21058 - 7.29294i) q^{19} +(-1.36500 - 2.27920i) q^{20} +(2.45213 - 3.87131i) q^{21} +(-3.30198 + 5.82638i) q^{22} +(3.03529 - 5.25728i) q^{23} +(-4.89792 - 0.101995i) q^{24} +(1.61775 + 2.80203i) q^{25} +(1.66174 - 2.93216i) q^{26} +(0.696725 - 5.14923i) q^{27} +(-4.52927 + 2.73600i) q^{28} +(0.915021 - 1.58486i) q^{29} +(-3.25156 - 0.119799i) q^{30} -0.796043i q^{31} +(5.00821 + 2.63018i) q^{32} +(3.77860 + 7.27989i) q^{33} +(6.08647 - 0.0487108i) q^{34} +(-3.03691 + 1.76880i) q^{35} +(-3.37424 + 4.96130i) q^{36} +(-9.15231 + 5.28409i) q^{37} +(10.3611 + 5.87193i) q^{38} +(-1.90161 - 3.66365i) q^{39} +(3.29793 + 1.79991i) q^{40} +(5.59599 - 3.23085i) q^{41} +(-0.213981 + 6.47721i) q^{42} +(2.62112 - 4.53992i) q^{43} +(-0.151585 - 9.46977i) q^{44} +(-2.29353 + 3.25887i) q^{45} +(0.0687054 + 8.58482i) q^{46} +6.32328 q^{47} +(6.04391 - 3.38691i) q^{48} +(3.54601 + 6.03538i) q^{49} +(-3.98085 - 2.25606i) q^{50} +(4.01288 - 6.28236i) q^{51} +(0.0762861 + 4.76572i) q^{52} +(-2.30165 + 3.98657i) q^{53} +(2.84207 + 6.77662i) q^{54} -6.29036i q^{55} +(3.55999 - 6.58228i) q^{56} +(12.9459 - 6.71952i) q^{57} +(0.0207120 + 2.58799i) q^{58} +0.605574i q^{59} +(4.04968 - 2.18495i) q^{60} -15.2119i q^{61} +(0.570672 + 0.970414i) q^{62} +(6.50823 + 4.54345i) q^{63} +(-7.99078 + 0.383994i) q^{64} +3.16566i q^{65} +(-9.82514 - 6.16570i) q^{66} +2.03323 q^{67} +(-7.38478 + 4.42269i) q^{68} +(8.86112 + 5.66007i) q^{69} +(2.43412 - 4.33336i) q^{70} +3.22060 q^{71} +(0.556667 - 8.46700i) q^{72} +(2.69600 - 4.66961i) q^{73} +(7.36900 - 13.0027i) q^{74} +(-4.97395 + 2.58171i) q^{75} +(-16.8402 + 0.269565i) q^{76} +(-12.5288 + 0.0476466i) q^{77} +(4.94456 + 3.10293i) q^{78} +12.3673i q^{79} +(-5.31065 + 0.170062i) q^{80} +(8.85569 + 1.60524i) q^{81} +(-4.50563 + 7.95024i) q^{82} +(-1.66413 - 0.960785i) q^{83} +(-4.38256 - 8.04942i) q^{84} +(-4.95115 + 2.85855i) q^{85} +(0.0593305 + 7.41342i) q^{86} +(2.67128 + 1.70629i) q^{87} +(6.97353 + 11.4354i) q^{88} +(-10.3733 + 5.98905i) q^{89} +(0.459681 - 5.61691i) q^{90} +(6.30522 - 0.0239785i) q^{91} +(-6.23809 - 10.4160i) q^{92} +(1.37740 + 0.0617902i) q^{93} +(-7.70837 + 4.53307i) q^{94} -11.1862 q^{95} +(-4.93978 + 8.46159i) q^{96} +(-0.916538 + 1.58749i) q^{97} +(-8.64943 - 4.81533i) q^{98} +(-12.8898 + 5.97308i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

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