LMFDB - Embedded newform 504.2.bf.b.115.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(115,504)]

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, 4, 1]))

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

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

chi := DirichletCharacter("504.115");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bf (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:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			115.15
Character	$\chi$	$=$	504.115
Dual form			504.2.bf.b.355.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16893 - 0.795991i) q^{2} +(-0.801348 - 1.53553i) q^{3} +(0.732796 + 1.86092i) q^{4} +(-1.06898 + 1.85154i) q^{5} +(-0.285545 + 2.43279i) q^{6} +(-2.52157 - 0.801064i) q^{7} +(0.624685 - 2.75858i) q^{8} +(-1.71568 + 2.46098i) q^{9} +O(q^{10})$	\(q+(-1.16893 - 0.795991i) q^{2} +(-0.801348 - 1.53553i) q^{3} +(0.732796 + 1.86092i) q^{4} +(-1.06898 + 1.85154i) q^{5} +(-0.285545 + 2.43279i) q^{6} +(-2.52157 - 0.801064i) q^{7} +(0.624685 - 2.75858i) q^{8} +(-1.71568 + 2.46098i) q^{9} +(2.72337 - 1.31341i) q^{10} +(1.73850 + 3.01117i) q^{11} +(2.27026 - 2.61647i) q^{12} +(-2.54202 - 4.40291i) q^{13} +(2.30990 + 2.94353i) q^{14} +(3.69971 + 0.157729i) q^{15} +(-2.92602 + 2.72735i) q^{16} +(2.27003 + 1.31060i) q^{17} +(3.96443 - 1.51105i) q^{18} +(7.04468 - 4.06725i) q^{19} +(-4.22890 - 0.632492i) q^{20} +(0.790598 + 4.51386i) q^{21} +(0.364679 - 4.90368i) q^{22} +(5.90310 + 3.40816i) q^{23} +(-4.73646 + 1.25136i) q^{24} +(0.214544 + 0.371601i) q^{25} +(-0.533231 + 7.17012i) q^{26} +(5.15376 + 0.662370i) q^{27} +(-0.357081 - 5.27944i) q^{28} +(-0.394206 - 0.227595i) q^{29} +(-4.19915 - 3.12931i) q^{30} +1.37578 q^{31} +(5.59125 - 0.858993i) q^{32} +(3.23059 - 5.08251i) q^{33} +(-1.61028 - 3.33893i) q^{34} +(4.17871 - 3.81244i) q^{35} +(-5.83693 - 1.38934i) q^{36} +(-0.887449 + 0.512369i) q^{37} +(-11.4722 - 0.853172i) q^{38} +(-4.72374 + 7.43160i) q^{39} +(4.43983 + 4.10551i) q^{40} +(-4.79267 + 2.76705i) q^{41} +(2.66884 - 5.90570i) q^{42} +(3.77476 - 6.53808i) q^{43} +(-4.32957 + 5.44178i) q^{44} +(-2.72256 - 5.80740i) q^{45} +(-4.18745 - 8.68271i) q^{46} +10.1740 q^{47} +(6.53267 + 2.30742i) q^{48} +(5.71659 + 4.03987i) q^{49} +(0.0450041 - 0.605150i) q^{50} +(0.193380 - 4.53594i) q^{51} +(6.33066 - 7.95692i) q^{52} +(-4.63344 - 2.67512i) q^{53} +(-5.49715 - 4.87661i) q^{54} -7.43372 q^{55} +(-3.78498 + 6.45553i) q^{56} +(-11.8906 - 7.55800i) q^{57} +(0.279636 + 0.579828i) q^{58} -7.83247i q^{59} +(2.41761 + 7.00044i) q^{60} +5.21493 q^{61} +(-1.60819 - 1.09511i) q^{62} +(6.29761 - 4.83116i) q^{63} +(-7.21954 - 3.44649i) q^{64} +10.8695 q^{65} +(-7.82196 + 3.36958i) q^{66} -10.6663 q^{67} +(-0.775452 + 5.18475i) q^{68} +(0.502874 - 11.7955i) q^{69} +(-7.91930 + 1.13026i) q^{70} +6.60821i q^{71} +(5.71706 + 6.27019i) q^{72} +(13.4461 + 7.76311i) q^{73} +(1.44521 + 0.107478i) q^{74} +(0.398678 - 0.627219i) q^{75} +(12.7311 + 10.1291i) q^{76} +(-1.97160 - 8.98552i) q^{77} +(11.4372 - 4.92697i) q^{78} +7.59525i q^{79} +(-1.92191 - 8.33312i) q^{80} +(-3.11287 - 8.44453i) q^{81} +(7.80484 + 0.580434i) q^{82} +(10.4296 + 6.02151i) q^{83} +(-7.82057 + 4.77898i) q^{84} +(-4.85326 + 2.80203i) q^{85} +(-9.61668 + 4.63788i) q^{86} +(-0.0335817 + 0.787697i) q^{87} +(9.39257 - 2.91476i) q^{88} +(-4.49704 + 2.59637i) q^{89} +(-1.44015 + 8.95558i) q^{90} +(2.88286 + 13.1385i) q^{91} +(-2.01652 + 13.4827i) q^{92} +(-1.10248 - 2.11254i) q^{93} +(-11.8927 - 8.09839i) q^{94} +17.3913i q^{95} +(-5.79955 - 7.89717i) q^{96} +(-7.85340 - 4.53417i) q^{97} +(-3.46660 - 9.27269i) q^{98} +(-10.3932 - 0.887791i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.16893	−	0.795991i	−0.826559	−	0.562851i
$2$	−1.16893	−	0.795991i	−0.826559	−	0.562851i
$3$	−0.801348	−	1.53553i	−0.462659	−	0.886536i
$3$	−0.801348	−	1.53553i	−0.462659	−	0.886536i
$4$	0.732796	+	1.86092i	0.366398	+	0.930458i
$5$	−1.06898	+	1.85154i	−0.478064	+	0.828032i	−0.999684	−	0.0251464i	$-0.991995\pi$
$5$	−1.06898	+	1.85154i	−0.478064	+	0.828032i	0.521619	+	0.853178i	$0.325328\pi$
$6$	−0.285545	+	2.43279i	−0.116573	+	0.993182i
$7$	−2.52157	−	0.801064i	−0.953062	−	0.302774i
$7$	−2.52157	−	0.801064i	−0.953062	−	0.302774i
$8$	0.624685	−	2.75858i	0.220859	−	0.975306i
$9$	−1.71568	+	2.46098i	−0.571894	+	0.820328i
$10$	2.72337	−	1.31341i	0.861207	−	0.415338i
$11$	1.73850	+	3.01117i	0.524178	+	0.907902i	0.999604	+	0.0281466i	$0.00896052\pi$
$11$	1.73850	+	3.01117i	0.524178	+	0.907902i	−0.475426	+	0.879756i	$0.657706\pi$
$12$	2.27026	−	2.61647i	0.655368	−	0.755310i
$13$	−2.54202	−	4.40291i	−0.705030	−	1.22115i	−0.966681	−	0.255985i	$-0.917600\pi$
$13$	−2.54202	−	4.40291i	−0.705030	−	1.22115i	0.261651	−	0.965162i	$-0.415733\pi$
$14$	2.30990	+	2.94353i	0.617346	+	0.786692i
$15$	3.69971	+	0.157729i	0.955261	+	0.0407254i
$16$	−2.92602	+	2.72735i	−0.731505	+	0.681836i
$17$	2.27003	+	1.31060i	0.550564	+	0.317868i	0.749349	−	0.662175i	$-0.230366\pi$
$17$	2.27003	+	1.31060i	0.550564	+	0.317868i	−0.198786	+	0.980043i	$0.563700\pi$
$18$	3.96443	−	1.51105i	0.934426	−	0.356158i
$19$	7.04468	−	4.06725i	1.61616	−	0.933090i	0.628259	−	0.778005i	$-0.283768\pi$
$19$	7.04468	−	4.06725i	1.61616	−	0.933090i	0.987901	−	0.155086i	$-0.0495653\pi$
$20$	−4.22890	−	0.632492i	−0.945611	−	0.141430i
$21$	0.790598	+	4.51386i	0.172523	+	0.985006i
$22$	0.364679	−	4.90368i	0.0777499	−	1.04547i
$23$	5.90310	+	3.40816i	1.23088	+	0.710650i	0.967214	−	0.253964i	$-0.0817343\pi$
$23$	5.90310	+	3.40816i	1.23088	+	0.710650i	0.263668	+	0.964613i	$0.415068\pi$
$24$	−4.73646	+	1.25136i	−0.966827	+	0.255434i
$25$	0.214544	+	0.371601i	0.0429087	+	0.0743201i
$26$	−0.533231	+	7.17012i	−0.104575	+	1.40618i
$27$	5.15376	+	0.662370i	0.991842	+	0.127473i
$28$	−0.357081	−	5.27944i	−0.0674820	−	0.997720i
$29$	−0.394206	−	0.227595i	−0.0732023	−	0.0422634i	0.462952	−	0.886383i	$-0.346790\pi$
$29$	−0.394206	−	0.227595i	−0.0732023	−	0.0422634i	−0.536154	+	0.844120i	$0.680124\pi$
$30$	−4.19915	−	3.12931i	−0.766657	−	0.571331i
$31$	1.37578			0.247097			0.123549	−	0.992339i	$-0.460573\pi$
$31$	1.37578			0.247097			0.123549	+	0.992339i	$0.460573\pi$
$32$	5.59125	−	0.858993i	0.988404	−	0.151850i
$33$	3.23059	−	5.08251i	0.562373	−	0.884751i
$34$	−1.61028	−	3.33893i	−0.276161	−	0.572622i
$35$	4.17871	−	3.81244i	0.706332	−	0.644421i
$36$	−5.83693	−	1.38934i	−0.972821	−	0.231557i
$37$	−0.887449	+	0.512369i	−0.145896	+	0.0842329i	−0.571171	−	0.820831i	$-0.693511\pi$
$37$	−0.887449	+	0.512369i	−0.145896	+	0.0842329i	0.425275	+	0.905064i	$0.360177\pi$
$38$	−11.4722	−	0.853172i	−1.86104	−	0.138403i
$39$	−4.72374	+	7.43160i	−0.756403	+	1.19001i
$40$	4.43983	+	4.10551i	0.701999	+	0.649138i
$41$	−4.79267	+	2.76705i	−0.748489	+	0.432140i	−0.825148	−	0.564917i	$-0.808908\pi$
$41$	−4.79267	+	2.76705i	−0.748489	+	0.432140i	0.0766586	+	0.997057i	$0.475575\pi$
$42$	2.66884	−	5.90570i	0.411811	−	0.911269i
$43$	3.77476	−	6.53808i	0.575645	−	0.997047i	−0.420326	−	0.907373i	$-0.638084\pi$
$43$	3.77476	−	6.53808i	0.575645	−	0.997047i	0.995971	−	0.0896738i	$-0.0285825\pi$
$44$	−4.32957	+	5.44178i	−0.652707	+	0.820379i
$45$	−2.72256	−	5.80740i	−0.405855	−	0.865716i
$46$	−4.18745	−	8.68271i	−0.617406	−	1.28020i
$47$	10.1740			1.48403			0.742013	−	0.670386i	$-0.233871\pi$
$47$	10.1740			1.48403			0.742013	+	0.670386i	$0.233871\pi$
$48$	6.53267	+	2.30742i	0.942910	+	0.333048i
$49$	5.71659	+	4.03987i	0.816656	+	0.577125i
$50$	0.0450041	−	0.605150i	0.00636454	−	0.0855811i
$51$	0.193380	−	4.53594i	0.0270786	−	0.635159i
$52$	6.33066	−	7.95692i	0.877905	−	1.10343i
$53$	−4.63344	−	2.67512i	−0.636452	−	0.367456i	0.146794	−	0.989167i	$-0.453104\pi$
$53$	−4.63344	−	2.67512i	−0.636452	−	0.367456i	−0.783247	+	0.621711i	$0.786438\pi$
$54$	−5.49715	−	4.87661i	−0.748067	−	0.663623i
$55$	−7.43372			−1.00236
$56$	−3.78498	+	6.45553i	−0.505790	+	0.862657i
$57$	−11.8906	−	7.55800i	−1.57495	−	1.00108i
$58$	0.279636	+	0.579828i	0.0367180	+	0.0761351i
$59$		−	7.83247i		−	1.01970i	−0.860263	−	0.509850i	$-0.829701\pi$
$59$		−	7.83247i		−	1.01970i	0.860263	−	0.509850i	$-0.170299\pi$
$60$	2.41761	+	7.00044i	0.312113	+	0.903752i
$61$	5.21493			0.667703			0.333851	−	0.942626i	$-0.391652\pi$
$61$	5.21493			0.667703			0.333851	+	0.942626i	$0.391652\pi$
$62$	−1.60819	−	1.09511i	−0.204240	−	0.139079i
$63$	6.29761	−	4.83116i	0.793424	−	0.608669i
$64$	−7.21954	−	3.44649i	−0.902442	−	0.430811i
$65$	10.8695			1.34820
$66$	−7.82196	+	3.36958i	−0.962817	+	0.414767i
$67$	−10.6663			−1.30309			−0.651547	−	0.758608i	$-0.725880\pi$
$67$	−10.6663			−1.30309			−0.651547	+	0.758608i	$0.725880\pi$
$68$	−0.775452	+	5.18475i	−0.0940374	+	0.628743i
$69$	0.502874	−	11.7955i	0.0605390	−	1.42001i
$70$	−7.91930	+	1.13026i	−0.946537	+	0.135092i
$71$			6.60821i			0.784250i	0.919912	+	0.392125i	$0.128260\pi$
$71$			6.60821i			0.784250i	−0.919912	+	0.392125i	$0.871740\pi$
$72$	5.71706	+	6.27019i	0.673762	+	0.738948i
$73$	13.4461	+	7.76311i	1.57375	+	0.908603i	0.995704	+	0.0925965i	$0.0295167\pi$
$73$	13.4461	+	7.76311i	1.57375	+	0.908603i	0.578043	+	0.816006i	$0.303817\pi$
$74$	1.44521	+	0.107478i	0.168002	+	0.0124940i
$75$	0.398678	−	0.627219i	0.0460354	−	0.0724250i
$76$	12.7311	+	10.1291i	1.46036	+	1.16189i
$77$	−1.97160	−	8.98552i	−0.224685	−	1.02399i
$78$	11.4372	−	4.92697i	1.29501	−	0.557870i
$79$			7.59525i			0.854532i	0.904126	+	0.427266i	$0.140523\pi$
$79$			7.59525i			0.854532i	−0.904126	+	0.427266i	$0.859477\pi$
$80$	−1.92191	−	8.33312i	−0.214876	−	0.931671i
$81$	−3.11287	−	8.44453i	−0.345875	−	0.938281i
$82$	7.80484	+	0.580434i	0.861901	+	0.0640983i
$83$	10.4296	+	6.02151i	1.14479	+	0.660946i	0.947613	−	0.319421i	$-0.103489\pi$
$83$	10.4296	+	6.02151i	1.14479	+	0.660946i	0.197179	+	0.980367i	$0.436822\pi$
$84$	−7.82057	+	4.77898i	−0.853294	+	0.521429i
$85$	−4.85326	+	2.80203i	−0.526410	+	0.303923i
$86$	−9.61668	+	4.63788i	−1.03699	+	0.500115i
$87$	−0.0335817	+	0.787697i	−0.00360034	+	0.0844500i
$88$	9.39257	−	2.91476i	1.00125	−	0.310715i
$89$	−4.49704	+	2.59637i	−0.476685	+	0.275214i	−0.719034	−	0.694975i	$-0.755415\pi$
$89$	−4.49704	+	2.59637i	−0.476685	+	0.275214i	0.242349	+	0.970189i	$0.422082\pi$
$90$	−1.44015	+	8.95558i	−0.151806	+	0.944001i
$91$	2.88286	+	13.1385i	0.302206	+	1.37729i
$92$	−2.01652	+	13.4827i	−0.210237	+	1.40566i
$93$	−1.10248	−	2.11254i	−0.114322	−	0.219061i
$94$	−11.8927	−	8.09839i	−1.22663	−	0.835285i
$95$			17.3913i			1.78431i
$96$	−5.79955	−	7.89717i	−0.591914	−	0.806001i
$97$	−7.85340	−	4.53417i	−0.797392	−	0.460375i	0.0451662	−	0.998979i	$-0.485618\pi$
$97$	−7.85340	−	4.53417i	−0.797392	−	0.460375i	−0.842559	+	0.538605i	$0.818952\pi$
$98$	−3.46660	−	9.27269i	−0.350179	−	0.936683i
$99$	−10.3932	−	0.887791i	−1.04455	−	0.0892264i
$100$	−0.534301	+	0.671555i	−0.0534301	+	0.0671555i
$101$	4.24318	+	7.34940i	0.422212	+	0.731293i	0.996156	−	0.0876023i	$-0.0279205\pi$
$101$	4.24318	+	7.34940i	0.422212	+	0.731293i	−0.573944	+	0.818895i	$0.694587\pi$
$102$	−3.83662	+	5.14827i	−0.379882	+	0.509755i
$103$	−1.12417	+	1.94712i	−0.110768	+	0.191855i	−0.916080	−	0.400996i	$-0.868664\pi$
$103$	−1.12417	+	1.94712i	−0.110768	+	0.191855i	0.805312	+	0.592851i	$0.201998\pi$
$104$	−13.7337	+	4.26194i	−1.34670	+	0.417918i
$105$	−9.20271	−	3.36143i	−0.898093	−	0.328042i
$106$	3.28680	+	6.81521i	0.319242	+	0.661951i
$107$	0.593860	+	1.02860i	0.0574106	+	0.0994381i	0.893302	−	0.449456i	$-0.148382\pi$
$107$	0.593860	+	1.02860i	0.0574106	+	0.0994381i	−0.835892	+	0.548894i	$0.815049\pi$
$108$	2.54404	+	10.0761i	0.244801	+	0.969573i
$109$	10.8535	+	6.26627i	1.03958	+	0.600200i	0.919713	−	0.392591i	$-0.128421\pi$
$109$	10.8535	+	6.26627i	1.03958	+	0.600200i	0.119863	+	0.992790i	$0.461754\pi$
$110$	8.68950	+	5.91718i	0.828511	+	0.564181i
$111$	1.49791	+	0.952115i	0.142175	+	0.0903708i
$112$	9.56293	−	4.53325i	0.903612	−	0.428352i
$113$	3.12960	+	5.42062i	0.294408	+	0.509929i	0.974847	−	0.222875i	$-0.0715442\pi$
$113$	3.12960	+	5.42062i	0.294408	+	0.509929i	−0.680439	+	0.732805i	$0.738211\pi$
$114$	7.88318	+	18.2996i	0.738328	+	1.71391i
$115$	−12.6206	+	7.28654i	−1.17688	+	0.679473i
$116$	0.134663	−	0.900366i	0.0125031	−	0.0835969i
$117$	15.1968	+	1.29812i	1.40494	+	0.120011i
$118$	−6.23457	+	9.15561i	−0.573939	+	0.842842i
$119$	−4.67416	−	5.12322i	−0.428479	−	0.469644i
$120$	2.74626	−	10.1074i	0.250698	−	0.922677i
$121$	−0.544767	+	0.943564i	−0.0495242	+	0.0857785i
$122$	−6.09588	−	4.15103i	−0.551895	−	0.375817i
$123$	8.08947	+	5.14190i	0.729403	+	0.463629i
$124$	1.00817	+	2.56021i	0.0905359	+	0.229914i
$125$	−11.6072			−1.03818
$126$	−11.2070	+	0.634448i	−0.998401	+	0.0565211i
$127$		−	6.01094i		−	0.533385i	−0.963782	−	0.266692i	$-0.914069\pi$
$127$		−	6.01094i		−	0.533385i	0.963782	−	0.266692i	$-0.0859308\pi$
$128$	5.69577	+	9.77539i	0.503439	+	0.864031i
$129$	−13.0643	−	0.556967i	−1.15025	−	0.0490382i
$130$	−12.7057	−	8.65204i	−1.11436	−	0.758834i
$131$	−1.41578	−	0.817401i	−0.123697	−	0.0714166i	0.436875	−	0.899522i	$-0.356085\pi$
$131$	−1.41578	−	0.817401i	−0.123697	−	0.0714166i	−0.560572	+	0.828106i	$0.689419\pi$
$132$	11.8255	+	2.28741i	1.02928	+	0.199093i
$133$	−21.0217	+	4.61259i	−1.82282	+	0.399962i
$134$	12.4681	+	8.49027i	1.07708	+	0.733447i
$135$	−6.73569	+	8.83431i	−0.579716	+	0.760336i
$136$	5.03346	−	5.44335i	0.431616	−	0.466764i
$137$	0.240809	+	0.417093i	0.0205737	+	0.0356346i	0.876129	−	0.482077i	$-0.160117\pi$
$137$	0.240809	+	0.417093i	0.0205737	+	0.0356346i	−0.855555	+	0.517711i	$0.826784\pi$
$138$	−9.97693	+	13.3878i	−0.849293	+	1.13965i
$139$	−0.119588	+	0.0690440i	−0.0101433	+	0.00585624i	−0.505063	−	0.863082i	$-0.668531\pi$
$139$	−0.119588	+	0.0690440i	−0.0101433	+	0.00585624i	0.494920	+	0.868939i	$0.335197\pi$
$140$	10.1568	+	4.98249i	0.858405	+	0.421097i
$141$	−8.15289	−	15.6224i	−0.686597	−	1.31564i
$142$	5.26007	−	7.72454i	0.441416	−	0.648229i
$143$	8.83861	−	15.3089i	0.739121	−	1.28020i
$144$	−1.69183	−	11.8801i	−0.140986	−	0.990012i
$145$	0.842801	−	0.486592i	0.0699908	−	0.0404092i
$146$	−9.53819	−	19.7775i	−0.789386	−	1.63680i
$147$	1.62235	−	12.0153i	0.133809	−	0.991007i
$148$	−1.60379	−	1.27601i	−0.131831	−	0.104887i
$149$	4.51074	+	2.60428i	0.369534	+	0.213351i	0.673255	−	0.739410i	$-0.264896\pi$
$149$	4.51074	+	2.60428i	0.369534	+	0.213351i	−0.303721	+	0.952761i	$0.598229\pi$
$150$	−0.965288	+	0.415831i	−0.0788154	+	0.0339525i
$151$	13.4414	−	7.76042i	1.09385	−	0.631534i	0.159250	−	0.987238i	$-0.449092\pi$
$151$	13.4414	−	7.76042i	1.09385	−	0.631534i	0.934598	+	0.355705i	$0.115759\pi$
$152$	−6.81913	−	21.9741i	−0.553104	−	1.78233i
$153$	−7.12003	+	3.33793i	−0.575620	+	0.269856i
$154$	−4.84773	+	12.0728i	−0.390641	+	0.972856i
$155$	−1.47069	+	2.54730i	−0.118128	+	0.204604i
$156$	−17.2911	−	3.34463i	−1.38440	−	0.267785i
$157$	10.4190			0.831524			0.415762	−	0.909473i	$-0.363515\pi$
$157$	10.4190			0.831524			0.415762	+	0.909473i	$0.363515\pi$
$158$	6.04575	−	8.87832i	0.480974	−	0.706321i
$159$	−0.394714	+	9.25848i	−0.0313029	+	0.734245i
$160$	−4.38651	+	11.2707i	−0.346784	+	0.891024i
$161$	−12.1549	−	13.3227i	−0.957941	−	1.04997i
$162$	−3.08304	+	12.3489i	−0.242226	+	0.970220i
$163$	2.01240	+	3.48558i	0.157623	+	0.273011i	0.934011	−	0.357244i	$-0.116284\pi$
$163$	2.01240	+	3.48558i	0.157623	+	0.273011i	−0.776388	+	0.630255i	$0.782950\pi$
$164$	−8.66130	−	6.89107i	−0.676334	−	0.538102i
$165$	5.95700	+	11.4147i	0.463752	+	0.888631i
$166$	−7.39836	−	15.3406i	−0.574224	−	1.19066i
$167$	−11.4537	−	19.8384i	−0.886313	−	1.53514i	−0.844202	−	0.536026i	$-0.819925\pi$
$167$	−11.4537	−	19.8384i	−0.886313	−	1.53514i	−0.0421110	−	0.999113i	$-0.513408\pi$
$168$	12.9457	+	0.638813i	0.998785	+	0.0492855i
$169$	−6.42374	+	11.1262i	−0.494133	+	0.855864i
$170$	7.90351	+	0.587772i	0.606172	+	0.0450801i
$171$	−2.07700	+	24.3149i	−0.158832	+	1.85941i
$172$	14.9329	+	2.23343i	1.13863	+	0.170298i
$173$	−6.34004			−0.482025			−0.241012	−	0.970522i	$-0.577479\pi$
$173$	−6.34004			−0.482025			−0.241012	+	0.970522i	$0.577479\pi$
$174$	0.666255	−	0.894033i	0.0505086	−	0.0677764i
$175$	−0.243310	−	1.10888i	−0.0183925	−	0.0838233i
$176$	−13.2994	−	4.06925i	−1.00248	−	0.306731i
$177$	−12.0270	+	6.27654i	−0.904002	+	0.471773i
$178$	7.32341	+	0.544631i	0.548912	+	0.0408218i
$179$	5.40704	−	9.36527i	0.404141	−	0.699993i	−0.590080	−	0.807345i	$-0.700904\pi$
$179$	5.40704	−	9.36527i	0.404141	−	0.699993i	0.994221	+	0.107352i	$0.0342371\pi$
$180$	8.81200	−	9.32210i	0.656808	−	0.694828i
$181$	12.6693			0.941703			0.470851	−	0.882213i	$-0.343947\pi$
$181$	12.6693			0.941703			0.470851	+	0.882213i	$0.343947\pi$
$182$	7.08830	−	17.6528i	0.525420	−	1.30851i
$183$	−4.17897	−	8.00765i	−0.308918	−	0.591943i
$184$	13.0893	−	14.1552i	0.964953	−	1.04353i
$185$		−	2.19086i		−	0.161075i
$186$	−0.392846	+	3.34698i	−0.0288049	+	0.245412i
$187$			9.11394i			0.666477i
$188$	7.45545	+	18.9329i	0.543744	+	1.38082i
$189$	−12.4650	−	5.79870i	−0.906692	−	0.421794i
$190$	13.8433	−	20.3292i	1.00430	−	1.47484i
$191$			24.6875i			1.78633i	0.449734	+	0.893163i	$0.351519\pi$
$191$			24.6875i			1.78633i	−0.449734	+	0.893163i	$0.648481\pi$
$192$	0.493195	+	13.8476i	0.0355933	+	0.999366i
$193$	−13.0423			−0.938805			−0.469402	−	0.882984i	$-0.655531\pi$
$193$	−13.0423			−0.938805			−0.469402	+	0.882984i	$0.655531\pi$
$194$	5.57093	+	11.5514i	0.399969	+	0.829340i
$195$	−8.71027	−	16.6904i	−0.623756	−	1.19523i
$196$	−3.32877	+	13.5985i	−0.237769	+	0.971322i
$197$		−	2.57979i		−	0.183802i	−0.995768	−	0.0919012i	$-0.970706\pi$
$197$		−	2.57979i		−	0.183802i	0.995768	−	0.0919012i	$-0.0292944\pi$
$198$	11.4422	+	9.31062i	0.813162	+	0.661677i
$199$	0.223017	−	0.386277i	0.0158093	−	0.0273825i	−0.858013	−	0.513629i	$-0.828301\pi$
$199$	0.223017	−	0.386277i	0.0158093	−	0.0273825i	0.873822	+	0.486246i	$0.161634\pi$
$200$	1.15911	−	0.359703i	0.0819616	−	0.0254348i
$201$	8.54741	+	16.3784i	0.602888	+	1.15524i
$202$	0.890077	−	11.9685i	0.0626256	−	0.842098i
$203$	0.811699	+	0.889681i	0.0569701	+	0.0624434i
$204$	8.58272	−	2.96406i	0.600911	−	0.207526i
$205$		−	11.8317i		−	0.826364i
$206$	2.86396	−	1.38122i	0.199542	−	0.0962339i
$207$	−18.5153	+	8.68012i	−1.28690	+	0.603310i
$208$	19.4463	+	5.95002i	1.34836	+	0.412560i
$209$	24.4943	+	14.1418i	1.69431	+	0.978210i
$210$	8.08166	+	11.2546i	0.557688	+	0.776638i
$211$	10.4080	+	18.0272i	0.716517	+	1.24104i	0.962372	+	0.271737i	$0.0875979\pi$
$211$	10.4080	+	18.0272i	0.716517	+	1.24104i	−0.245855	+	0.969307i	$0.579069\pi$
$212$	1.58280	−	10.5828i	0.108707	−	0.726827i
$213$	10.1471	−	5.29548i	0.695266	−	0.362840i
$214$	0.124572	−	1.67506i	0.00851556	−	0.114505i
$215$	8.07032	+	13.9782i	0.550391	+	0.953306i
$216$	5.04668	−	13.8033i	0.343383	−	0.939196i
$217$	−3.46912	−	1.10209i	−0.235499	−	0.0748145i
$218$	−7.69909	−	15.9641i	−0.521448	−	1.08123i
$219$	1.14545	−	26.8678i	0.0774022	−	1.81556i
$220$	−5.44740	−	13.8335i	−0.367264	−	0.932656i
$221$		−	13.3263i		−	0.896426i
$222$	−0.993079	−	2.30528i	−0.0666511	−	0.154720i
$223$	7.20865	−	12.4857i	0.482727	−	0.836107i	−0.517076	−	0.855939i	$-0.672980\pi$
$223$	7.20865	−	12.4857i	0.482727	−	0.836107i	0.999803	+	0.0198318i	$0.00631306\pi$
$224$	−14.7868	−	2.31295i	−0.987986	−	0.154540i
$225$	−1.28259	−	0.109560i	−0.0855061	−	0.00730400i
$226$	0.656485	−	8.82747i	0.0436688	−	0.587194i
$227$	−1.85284	+	1.06974i	−0.122977	+	0.0710010i	−0.560227	−	0.828339i	$-0.689286\pi$
$227$	−1.85284	+	1.06974i	−0.122977	+	0.0710010i	0.437249	+	0.899340i	$0.355953\pi$
$228$	5.35142	−	27.6659i	0.354407	−	1.83222i
$229$	1.23444	−	2.13812i	0.0815744	−	0.141291i	−0.822352	−	0.568979i	$-0.807339\pi$
$229$	1.23444	−	2.13812i	0.0815744	−	0.141291i	0.903926	+	0.427688i	$0.140672\pi$
$230$	20.5527	+	1.52847i	1.35520	+	0.100784i
$231$	−12.2176	+	10.2280i	−0.803856	+	0.672951i
$232$	−0.874095	+	0.945275i	−0.0573871	+	0.0620604i
$233$	6.12391	+	10.6069i	0.401191	+	0.694883i	0.993870	−	0.110556i	$-0.0352630\pi$
$233$	6.12391	+	10.6069i	0.401191	+	0.694883i	−0.592679	+	0.805439i	$0.701930\pi$
$234$	−16.7307	−	13.6139i	−1.09372	−	0.889969i
$235$	−10.8758	+	18.8375i	−0.709460	+	1.22882i
$236$	14.5756	−	5.73961i	0.948789	−	0.373616i
$237$	11.6627	−	6.08644i	0.757574	−	0.395357i
$238$	1.38573	+	9.70927i	0.0898237	+	0.629359i
$239$	−1.26639	+	0.731153i	−0.0819162	+	0.0472944i	−0.540399	−	0.841409i	$-0.681727\pi$
$239$	−1.26639	+	0.731153i	−0.0819162	+	0.0472944i	0.458482	+	0.888703i	$0.348393\pi$
$240$	−11.2556	+	9.62887i	−0.726546	+	0.621541i
$241$	−1.83978	+	1.06220i	−0.118511	+	0.0684223i	−0.558084	−	0.829785i	$-0.688463\pi$
$241$	−1.83978	+	1.06220i	−0.118511	+	0.0684223i	0.439573	+	0.898207i	$0.355130\pi$
$242$	1.38786	−	0.669331i	0.0892152	−	0.0430262i
$243$	−10.4723	+	11.5469i	−0.671798	+	0.740734i
$244$	3.82148	+	9.70454i	0.244645	+	0.621269i
$245$	−13.5909	+	6.26591i	−0.868292	+	0.400314i
$246$	−5.36313	−	12.4497i	−0.341940	−	0.793762i
$247$	−35.8154	−	20.6780i	−2.27888	−	1.31571i
$248$	0.859428	−	3.79520i	0.0545737	−	0.240995i
$249$	0.888475	−	20.8402i	0.0563048	−	1.32069i
$250$	13.5680	+	9.23924i	0.858118	+	0.584341i
$251$		−	29.6562i		−	1.87188i	−0.352157	−	0.935941i	$-0.614552\pi$
$251$		−	29.6562i		−	1.87188i	0.352157	−	0.935941i	$-0.385448\pi$
$252$	13.6053	+	8.17907i	0.857050	+	0.515233i
$253$			23.7003i			1.49003i
$254$	−4.78466	+	7.02637i	−0.300216	+	0.440874i
$255$	8.19174	+	5.20690i	0.512987	+	0.326069i
$256$	1.12317	−	15.9605i	0.0701982	−	0.997533i
$257$	1.43195	+	0.826736i	0.0893225	+	0.0515704i	0.543996	−	0.839088i	$-0.316911\pi$
$257$	1.43195	+	0.826736i	0.0893225	+	0.0515704i	−0.454673	+	0.890658i	$0.650244\pi$
$258$	14.8279	+	11.0501i	0.923145	+	0.687950i
$259$	2.64820	−	0.581068i	0.164551	−	0.0361058i
$260$	7.96515	+	20.2273i	0.493978	+	1.25444i
$261$	1.23644	−	0.579654i	0.0765338	−	0.0358797i
$262$	1.00430	+	2.08243i	0.0620461	+	0.128653i
$263$	5.56861	−	3.21504i	0.343375	−	0.198248i	−0.318389	−	0.947960i	$-0.603142\pi$
$263$	5.56861	−	3.21504i	0.343375	−	0.198248i	0.661763	+	0.749713i	$0.269808\pi$
$264$	−12.0024	−	12.0868i	−0.738698	−	0.743891i
$265$	9.90616	−	5.71932i	0.608530	−	0.351335i
$266$	28.2445	+	11.3413i	1.73178	+	0.695381i
$267$	7.59048	+	4.82472i	0.464530	+	0.295268i
$268$	−7.81621	−	19.8491i	−0.477451	−	1.21247i
$269$	2.95325	−	5.11517i	0.180063	−	0.311878i	−0.761839	−	0.647766i	$-0.775703\pi$
$269$	2.95325	−	5.11517i	0.180063	−	0.311878i	0.941902	+	0.335889i	$0.109037\pi$
$270$	14.9056	−	4.96514i	0.907125	−	0.302169i
$271$	−12.0131	−	20.8072i	−0.729741	−	1.26395i	−0.956993	−	0.290112i	$-0.906307\pi$
$271$	−12.0131	−	20.8072i	−0.729741	−	1.26395i	0.227252	−	0.973836i	$-0.427026\pi$
$272$	−10.2166	+	2.35631i	−0.619474	+	0.142872i
$273$	17.8644	−	14.9553i	1.08120	−	0.905133i
$274$	0.0505136	−	0.679234i	0.00305164	−	0.0410340i
$275$	−0.745968	+	1.29206i	−0.0449836	+	0.0779139i
$276$	22.3189	−	7.70789i	1.34344	−	0.463960i
$277$	−15.8109	+	9.12844i	−0.949986	+	0.548475i	−0.893077	−	0.449905i	$-0.851458\pi$
$277$	−15.8109	+	9.12844i	−0.949986	+	0.548475i	−0.0569095	+	0.998379i	$0.518125\pi$
$278$	0.194748	+	0.0144831i	0.0116802	+	0.000868641i
$279$	−2.36040	+	3.38577i	−0.141313	+	0.202701i
$280$	−7.90656	−	13.9089i	−0.472507	−	0.831216i
$281$	5.67336	−	9.82654i	0.338444	−	0.586202i	−0.645696	−	0.763594i	$-0.723433\pi$
$281$	5.67336	−	9.82654i	0.338444	−	0.586202i	0.984140	+	0.177392i	$0.0567661\pi$
$282$	−2.90512	+	24.7511i	−0.172998	+	1.47391i
$283$		−	16.5184i		−	0.981917i	−0.871183	−	0.490959i	$-0.836647\pi$
$283$		−	16.5184i		−	0.981917i	0.871183	−	0.490959i	$-0.163353\pi$
$284$	−12.2973	+	4.84247i	−0.729712	+	0.287348i
$285$	26.7048	−	13.9365i	1.58186	−	0.825526i
$286$	−22.5175	+	10.8596i	−1.33149	+	0.642142i
$287$	14.3016	−	3.13806i	0.844198	−	0.185234i
$288$	−7.47885	+	15.2337i	−0.440695	+	0.897657i
$289$	−5.06464	−	8.77221i	−0.297920	−	0.516012i
$290$	−1.37250	−	0.102071i	−0.0805959	−	0.00599379i
$291$	−0.669017	+	15.6926i	−0.0392185	+	0.919914i
$292$	−4.59324	+	30.7108i	−0.268799	+	1.79722i
$293$	−3.49665	−	6.05637i	−0.204276	−	0.353817i	0.745626	−	0.666365i	$-0.232151\pi$
$293$	−3.49665	−	6.05637i	−0.204276	−	0.353817i	−0.949902	+	0.312548i	$0.898817\pi$
$294$	−11.4605	+	12.7537i	−0.668390	+	0.743811i
$295$	14.5021	+	8.37279i	0.844345	+	0.487483i
$296$	0.859035	+	2.76817i	0.0499304	+	0.160897i
$297$	6.96531	+	16.6704i	0.404168	+	0.967314i
$298$	−3.19976	−	6.63473i	−0.185357	−	0.384340i
$299$		−	34.6544i		−	2.00412i
$300$	1.45935	+	0.282283i	0.0842557	+	0.0162976i
$301$	−14.7557	+	13.4624i	−0.850506	+	0.775958i
$302$	−21.8893	−	1.62788i	−1.25959	−	0.0936737i
$303$	7.88493	−	12.4049i	0.452978	−	0.712645i
$304$	−9.52007	+	31.1141i	−0.546013	+	1.78452i
$305$	−5.57467	+	9.65562i	−0.319205	+	0.552879i
$306$	10.9798	+	1.76567i	0.627672	+	0.100936i
$307$			0.795805i			0.0454190i	0.999742	+	0.0227095i	$0.00722928\pi$
$307$			0.795805i			0.0454190i	−0.999742	+	0.0227095i	$0.992771\pi$
$308$	15.2765	−	10.2535i	0.870460	−	0.584250i
$309$	3.89070	+	0.165871i	0.221334	+	0.00943609i
$310$	3.74676	−	1.80697i	0.212802	−	0.102629i
$311$	9.08403			0.515108			0.257554	−	0.966264i	$-0.417083\pi$
$311$	9.08403			0.515108			0.257554	+	0.966264i	$0.417083\pi$
$312$	17.5498	+	17.6732i	0.993564	+	1.00055i
$313$			16.6830i			0.942977i	0.881872	+	0.471489i	$0.156283\pi$
$313$			16.6830i			0.942977i	−0.881872	+	0.471489i	$0.843717\pi$
$314$	−12.1791	−	8.29341i	−0.687304	−	0.468024i
$315$	2.21302	+	16.8247i	0.124689	+	0.947964i
$316$	−14.1341	+	5.56577i	−0.795107	+	0.313099i
$317$		−	0.306078i		−	0.0171911i	−0.999963	−	0.00859554i	$-0.997264\pi$
$317$		−	0.306078i		−	0.0171911i	0.999963	−	0.00859554i	$-0.00273608\pi$
$318$	7.83106	−	10.5083i	0.439144	−	0.589278i
$319$		−	1.58270i		−	0.0886140i
$320$	14.0989	−	9.68299i	0.788151	−	0.541296i
$321$	1.10355	−	1.73615i	0.0615940	−	0.0969025i
$322$	3.60353	+	25.2485i	0.200817	+	1.40704i
$323$	21.3222			1.18640
$324$	13.4335	−	11.9809i	0.746303	−	0.665606i
$325$	1.09075	−	1.88923i	0.0605039	−	0.104796i
$326$	0.422134	−	5.67625i	0.0233798	−	0.314378i
$327$	0.924590	−	21.6873i	0.0511299	−	1.19931i
$328$	4.63922	+	14.9495i	0.256158	+	0.825448i
$329$	−25.6543	−	8.15000i	−1.41437	−	0.449324i
$330$	2.12266	−	18.0847i	0.116849	−	0.995529i
$331$	−31.2531			−1.71783			−0.858913	−	0.512122i	$-0.828859\pi$
$331$	−31.2531			−1.71783			−0.858913	+	0.512122i	$0.828859\pi$
$332$	−3.56278	+	23.8211i	−0.195533	+	1.30735i
$333$	0.261649	−	3.06306i	0.0143383	−	0.167855i
$334$	−2.40260	+	32.3067i	−0.131464	+	1.76774i
$335$	11.4021	−	19.7490i	0.622963	−	1.07900i
$336$	−14.6242	−	11.0514i	−0.797814	−	0.602904i
$337$	−5.73132	−	9.92694i	−0.312205	−	0.540755i	0.666634	−	0.745385i	$-0.267734\pi$
$337$	−5.73132	−	9.92694i	−0.312205	−	0.540755i	−0.978839	+	0.204630i	$0.934401\pi$
$338$	16.3653	−	7.89256i	0.890154	−	0.429299i
$339$	5.81561	−	9.14939i	0.315861	−	0.496927i
$340$	−8.77080	−	6.97819i	−0.475663	−	0.378446i
$341$	2.39179	+	4.14270i	0.129523	+	0.224340i
$342$	21.7823	−	26.7692i	1.17785	−	1.44751i
$343$	−11.1786	−	14.7662i	−0.603586	−	0.797298i
$344$	−15.6778	−	14.4972i	−0.845289	−	0.781637i
$345$	21.3022	+	13.5403i	1.14687	+	0.728984i
$346$	7.41107	+	5.04662i	0.398422	+	0.271308i
$347$	−31.0495			−1.66682			−0.833411	−	0.552653i	$-0.813615\pi$
$347$	−31.0495			−1.66682			−0.833411	+	0.552653i	$0.813615\pi$
$348$	−1.49045	+	0.514729i	−0.0798964	+	0.0275924i
$349$	−6.32917	+	10.9625i	−0.338793	+	0.586807i	−0.984206	−	0.177027i	$-0.943352\pi$
$349$	−6.32917	+	10.9625i	−0.338793	+	0.586807i	0.645413	+	0.763834i	$0.276685\pi$
$350$	−0.598245	+	1.48987i	−0.0319775	+	0.0796371i
$351$	−10.1846	−	24.3753i	−0.543615	−	1.30106i
$352$	12.3070	+	15.3429i	0.655964	+	0.817777i
$353$	−8.41353	+	4.85755i	−0.447807	+	0.258541i	−0.706904	−	0.707310i	$-0.749909\pi$
$353$	−8.41353	+	4.85755i	−0.447807	+	0.258541i	0.259097	+	0.965851i	$0.416575\pi$
$354$	19.0547	+	2.23652i	1.01275	+	0.118870i
$355$	−12.2353	−	7.06407i	−0.649384	−	0.374922i
$356$	−8.12703	−	6.46600i	−0.430732	−	0.342697i
$357$	−4.12120	+	11.2828i	−0.218117	+	0.597148i
$358$	−13.7751	+	6.64339i	−0.728038	+	0.351114i
$359$	20.1951	−	11.6596i	1.06586	−	0.615372i	0.138809	−	0.990319i	$-0.455672\pi$
$359$	20.1951	−	11.6596i	1.06586	−	0.615372i	0.927046	+	0.374947i	$0.122339\pi$
$360$	−17.7209	+	3.88261i	−0.933975	+	0.204632i
$361$	23.5850	−	40.8504i	1.24131	−	2.15002i
$362$	−14.8095	−	10.0847i	−0.778373	−	0.530038i
$363$	1.88541	+	0.0803804i	0.0989586	+	0.00421888i
$364$	−22.3372	+	14.9926i	−1.17079	+	0.785828i
$365$	−28.7473	+	16.5973i	−1.50470	+	0.868742i
$366$	−1.48909	+	12.6868i	−0.0778362	+	0.663150i
$367$	8.08674	+	14.0066i	0.422124	+	0.731141i	0.996147	−	0.0876985i	$-0.0279512\pi$
$367$	8.08674	+	14.0066i	0.422124	+	0.731141i	−0.574023	+	0.818839i	$0.694618\pi$
$368$	−26.5678	+	6.12747i	−1.38494	+	0.319416i
$369$	1.41304	−	16.5421i	0.0735597	−	0.861145i
$370$	−1.74390	+	2.56096i	−0.0906612	+	0.133138i
$371$	9.54059	+	10.4572i	0.495323	+	0.542910i
$372$	3.12338	−	3.59968i	0.161939	−	0.186635i
$373$	20.8772	+	12.0535i	1.08098	+	0.624105i	0.931161	−	0.364609i	$-0.118797\pi$
$373$	20.8772	+	12.0535i	1.08098	+	0.624105i	0.149820	+	0.988713i	$0.452131\pi$
$374$	7.25461	−	10.6536i	0.375127	−	0.550883i
$375$	9.30143	+	17.8232i	0.480324	+	0.920386i
$376$	6.35552	−	28.0657i	0.327761	−	1.44738i
$377$			2.31421i			0.119188i
$378$	9.95494	+	16.7003i	0.512027	+	0.858969i
$379$	1.25354			0.0643900			0.0321950	−	0.999482i	$-0.489750\pi$
$379$	1.25354			0.0643900			0.0321950	+	0.999482i	$0.489750\pi$
$380$	−32.3637	+	12.7443i	−1.66022	+	0.653768i
$381$	−9.22996	+	4.81686i	−0.472865	+	0.246775i
$382$	19.6510	−	28.8580i	1.00543	−	1.47650i
$383$	−5.63149	+	9.75403i	−0.287756	+	0.498408i	−0.973274	−	0.229648i	$-0.926243\pi$
$383$	−5.63149	+	9.75403i	−0.287756	+	0.498408i	0.685518	+	0.728056i	$0.259576\pi$
$384$	10.4461	−	16.5795i	0.533074	−	0.846069i
$385$	18.7446	+	5.95489i	0.955314	+	0.303489i
$386$	15.2455	+	10.3815i	0.775977	+	0.528407i
$387$	9.61380	+	20.5069i	0.488697	+	1.04242i
$388$	2.68275	−	17.9371i	0.136196	−	0.910621i
$389$	−30.2800	+	17.4822i	−1.53526	+	0.886381i	−0.536150	+	0.844123i	$0.680122\pi$
$389$	−30.2800	+	17.4822i	−1.53526	+	0.886381i	−0.999107	+	0.0422580i	$0.986545\pi$
$390$	−3.10374	+	26.4433i	−0.157164	+	1.33901i
$391$	8.93349	+	15.4733i	0.451786	+	0.782516i
$392$	14.7154	−	13.2460i	0.743239	−	0.669026i
$393$	−0.120608	+	2.82899i	−0.00608385	+	0.142704i
$394$	−2.05349	+	3.01559i	−0.103453	+	0.151923i
$395$	−14.0629	−	8.11921i	−0.707580	−	0.408522i
$396$	−5.96396	−	19.9914i	−0.299700	−	1.00460i
$397$	−13.5914	−	23.5409i	−0.682131	−	1.18149i	−0.974329	−	0.225128i	$-0.927720\pi$
$397$	−13.5914	−	23.5409i	−0.682131	−	1.18149i	0.292198	−	0.956358i	$-0.405613\pi$
$398$	−0.568165	+	0.274011i	−0.0284795	+	0.0137350i
$399$	23.9285	+	28.5831i	1.19792	+	1.43095i
$400$	−1.64124	−	0.502175i	−0.0820621	−	0.0251088i
$401$	−5.47680	+	9.48609i	−0.273498	+	0.473713i	−0.969755	−	0.244080i	$-0.921514\pi$
$401$	−5.47680	+	9.48609i	−0.273498	+	0.473713i	0.696257	+	0.717793i	$0.254847\pi$
$402$	3.04570	−	25.9488i	0.151906	−	1.29421i
$403$	−3.49726	−	6.05743i	−0.174211	−	0.301742i
$404$	−10.5672	+	13.2818i	−0.525739	+	0.660795i
$405$	18.9630	+	3.26347i	0.942277	+	0.162163i
$406$	−0.240642	−	1.68608i	−0.0119429	−	0.0836788i
$407$	−3.08566	−	1.78151i	−0.152950	−	0.0883060i
$408$	−12.3920	−	3.36699i	−0.613494	−	0.166691i
$409$		−	8.70886i		−	0.430625i	−0.976545	−	0.215313i	$-0.930923\pi$
$409$		−	8.70886i		−	0.430625i	0.976545	−	0.215313i	$-0.0690771\pi$
$410$	−9.41795	+	13.8305i	−0.465120	+	0.683038i
$411$	0.447485	−	0.704005i	0.0220728	−	0.0347260i
$412$	−4.44721	−	0.665143i	−0.219098	−	0.0327692i
$413$	−6.27431	+	19.7501i	−0.308739	+	0.971838i
$414$	28.5523	+	4.59153i	1.40327	+	0.225661i
$415$	−22.2981	+	12.8738i	−1.09457	+	0.631950i
$416$	−17.9951	−	22.4342i	−0.882285	−	1.09993i
$417$	0.201850	+	0.128302i	0.00988466	+	0.00628297i
$418$	−17.3754	−	36.0281i	−0.849860	−	1.76219i
$419$	0.313456	−	0.180974i	0.0153133	−	0.00884115i	−0.492324	−	0.870412i	$-0.663852\pi$
$419$	0.313456	−	0.180974i	0.0153133	−	0.00884115i	0.507637	+	0.861571i	$0.330519\pi$
$420$	−0.488377	−	19.5887i	−0.0238304	−	0.955832i
$421$	24.4125	+	14.0946i	1.18979	+	0.686926i	0.958259	−	0.285901i	$-0.0922928\pi$
$421$	24.4125	+	14.0946i	1.18979	+	0.686926i	0.231532	+	0.972827i	$0.425626\pi$
$422$	2.18325	−	29.3572i	0.106279	−	1.42909i
$423$	−17.4553	+	25.0380i	−0.848705	+	1.21739i
$424$	−10.2740	+	11.1106i	−0.498948	+	0.539579i
$425$			1.12473i			0.0545573i
$426$	−16.0764	−	1.88694i	−0.778903	−	0.0914225i
$427$	−13.1498	−	4.17749i	−0.636362	−	0.202163i
$428$	−1.47895	+	1.85887i	−0.0714878	+	0.0898521i
$429$	−30.5900	−	1.30414i	−1.47690	−	0.0629644i
$430$	1.69288	−	22.7634i	0.0816381	−	1.09775i
$431$	8.43356	+	4.86912i	0.406230	+	0.234537i	0.689169	−	0.724601i	$-0.257976\pi$
$431$	8.43356	+	4.86912i	0.406230	+	0.234537i	−0.282938	+	0.959138i	$0.591309\pi$
$432$	−16.8865	+	12.1180i	−0.812453	+	0.583027i
$433$			15.4570i			0.742814i	0.928470	+	0.371407i	$0.121125\pi$
$433$			15.4570i			0.742814i	−0.928470	+	0.371407i	$0.878875\pi$
$434$	3.17790	+	4.04965i	0.152544	+	0.194389i
$435$	−1.42255	−	0.904214i	−0.0682061	−	0.0433538i
$436$	−3.70760	+	24.7894i	−0.177562	+	1.18719i
$437$	55.4473			2.65240
$438$	−22.7255	+	30.4948i	−1.08586	+	1.45710i
$439$	12.5194			0.597519			0.298760	−	0.954328i	$-0.403427\pi$
$439$	12.5194			0.597519			0.298760	+	0.954328i	$0.403427\pi$
$440$	−4.64373	+	20.5065i	−0.221381	+	0.977610i
$441$	−19.7499	+	7.13730i	−0.940472	+	0.339871i
$442$	−10.6076	+	15.5775i	−0.504554	+	0.740948i
$443$	18.1150			0.860669			0.430335	−	0.902669i	$-0.358396\pi$
$443$	18.1150			0.860669			0.430335	+	0.902669i	$0.358396\pi$
$444$	−0.674142	+	3.48519i	−0.0319934	+	0.165400i
$445$		−	11.1019i		−	0.526280i
$446$	−18.3650	+	8.85695i	−0.869606	+	0.419389i
$447$	0.384262	−	9.01330i	0.0181750	−	0.426314i
$448$	15.4437	+	14.4739i	0.729646	+	0.683825i
$449$	−10.3243			−0.487235			−0.243617	−	0.969871i	$-0.578334\pi$
$449$	−10.3243			−0.487235			−0.243617	+	0.969871i	$0.578334\pi$
$450$	1.41205	+	1.14900i	0.0665647	+	0.0541643i
$451$	−16.6641	−	9.62103i	−0.784683	−	0.453037i
$452$	−7.79397	+	9.79614i	−0.366597	+	0.460772i
$453$	−22.6876	−	14.4209i	−1.06596	−	0.677552i
$454$	3.01734	+	0.224395i	0.141611	+	0.0105314i
$455$	−27.4082	−	8.70719i	−1.28492	−	0.408199i
$456$	−28.2772	+	28.0798i	−1.32420	+	1.31496i
$457$	5.15167			0.240985			0.120493	−	0.992714i	$-0.461553\pi$
$457$	5.15167			0.240985			0.120493	+	0.992714i	$0.461553\pi$
$458$	−3.14491	+	1.51671i	−0.146952	+	0.0708711i
$459$	10.8311	+	8.25814i	0.505553	+	0.385457i
$460$	−22.8080	−	18.1464i	−1.06343	−	0.846081i
$461$	2.70721	−	4.68902i	0.126087	−	0.218389i	−0.796070	−	0.605204i	$-0.793091\pi$
$461$	2.70721	−	4.68902i	0.126087	−	0.218389i	0.922157	+	0.386815i	$0.126425\pi$
$462$	22.4229	−	2.23073i	1.04321	−	0.103783i
$463$	16.7625	−	9.67783i	0.779019	−	0.449767i	−0.0570635	−	0.998371i	$-0.518174\pi$
$463$	16.7625	−	9.67783i	0.779019	−	0.449767i	0.836083	+	0.548604i	$0.184840\pi$
$464$	1.77419	−	0.409190i	0.0823645	−	0.0189961i
$465$	5.08998	+	0.217000i	0.236042	+	0.0100631i
$466$	1.28459	−	17.2733i	0.0595076	−	0.800172i
$467$	−16.5492	+	9.55466i	−0.765804	+	0.442137i	−0.831376	−	0.555711i	$-0.812446\pi$
$467$	−16.5492	+	9.55466i	−0.765804	+	0.442137i	0.0655718	+	0.997848i	$0.479113\pi$
$468$	8.72045	+	29.2312i	0.403103	+	1.35121i
$469$	26.8957	+	8.54438i	1.24193	+	0.394543i
$470$	27.7075	−	13.3626i	1.27805	−	0.616372i
$471$	−8.34922	−	15.9986i	−0.384712	−	0.737177i
$472$	−21.6065	−	4.89282i	−0.994520	−	0.225210i
$473$	26.2497			1.20696
$474$	−18.4776	−	2.16878i	−0.848706	−	0.0996155i
$475$	3.02278	+	1.74520i	0.138695	+	0.0800754i
$476$	6.10867	−	12.4525i	0.279990	−	0.570759i
$477$	14.5329	−	6.81317i	0.665417	−	0.311954i
$478$	2.06232	+	0.153371i	0.0943282	+	0.00701505i
$479$	−7.29764	−	12.6399i	−0.333438	−	0.577531i	0.649746	−	0.760152i	$-0.274875\pi$
$479$	−7.29764	−	12.6399i	−0.333438	−	0.577531i	−0.983183	+	0.182620i	$0.941542\pi$
$480$	20.8215	−	2.29612i	0.950368	−	0.104803i
$481$	4.51183	+	2.60490i	0.205722	+	0.118773i
$482$	2.99608	+	0.222814i	0.136468	+	0.0101489i
$483$	−10.7170	+	29.3403i	−0.487639	+	1.33503i
$484$	−2.15510	−	0.322325i	−0.0979589	−	0.0146511i
$485$	16.7903	−	9.69391i	0.762410	−	0.440178i
$486$	21.4326	−	5.16167i	0.972203	−	0.234138i
$487$	31.6248	+	18.2586i	1.43306	+	0.827376i	0.997353	−	0.0727131i	$-0.0231658\pi$
$487$	31.6248	+	18.2586i	1.43306	+	0.827376i	0.435705	+	0.900090i	$0.356499\pi$
$488$	3.25768	−	14.3858i	0.147468	−	0.651214i
$489$	3.73956	−	5.88325i	0.169109	−	0.266050i
$490$	20.8744	+	3.49383i	0.943011	+	0.157835i
$491$	17.0469	+	29.5260i	0.769314	+	1.33249i	0.937935	+	0.346810i	$0.112735\pi$
$491$	17.0469	+	29.5260i	0.769314	+	1.33249i	−0.168621	+	0.985681i	$0.553931\pi$
$492$	−3.64071	+	18.8218i	−0.164136	+	0.848552i
$493$	−0.596574	−	1.03330i	−0.0268684	−	0.0465374i
$494$	25.4062	+	52.6799i	1.14308	+	2.37018i
$495$	12.7539	−	18.2943i	0.573245	−	0.822266i
$496$	−4.02555	+	3.75222i	−0.180753	+	0.168480i
$497$	5.29360	−	16.6630i	0.237450	−	0.747439i
$498$	−17.6272	+	23.6535i	−0.789892	+	1.05994i
$499$	−2.96932	+	5.14301i	−0.132925	+	0.230233i	−0.924803	−	0.380447i	$-0.875770\pi$
$499$	−2.96932	+	5.14301i	−0.132925	+	0.230233i	0.791878	+	0.610679i	$0.209104\pi$
$500$	−8.50573	−	21.6001i	−0.380388	−	0.965984i
$501$	−21.2839	+	33.4849i	−0.950896	+	1.49599i
$502$	−23.6061	+	34.6660i	−1.05359	+	1.54722i
$503$	−29.8048			−1.32893			−0.664465	−	0.747319i	$-0.731341\pi$
$503$	−29.8048			−1.32893			−0.664465	+	0.747319i	$0.731341\pi$
$504$	−9.39312	−	20.3904i	−0.418403	−	0.908261i
$505$	−18.1436			−0.807378
$506$	18.8653	−	27.7040i	0.838663	−	1.23159i
$507$	22.2323	+	0.947824i	0.987370	+	0.0420943i
$508$	11.1859	−	4.40480i	0.496292	−	0.195431i
$509$	−4.51459	+	7.81949i	−0.200106	+	0.346593i	−0.948562	−	0.316591i	$-0.897462\pi$
$509$	−4.51459	+	7.81949i	−0.200106	+	0.346593i	0.748457	+	0.663184i	$0.230795\pi$
$510$	−5.43093	−	12.6071i	−0.240486	−	0.558250i
$511$	−27.6865	−	30.3464i	−1.22478	−	1.34244i
$512$	−14.0173	+	17.7627i	−0.619485	+	0.785008i
$513$	39.0006	−	16.2954i	1.72192	−	0.719461i
$514$	−1.01577	−	2.10622i	−0.0448039	−	0.0929012i
$515$	−2.40344	−	4.16288i	−0.105908	−	0.183438i
$516$	−8.53699	−	24.7197i	−0.375820	−	1.08822i
$517$	17.6874	+	30.6356i	0.777893	+	1.34735i
$518$	−3.55809	−	1.42872i	−0.156333	−	0.0627742i
$519$	5.08058	+	9.73530i	0.223013	+	0.427332i
$520$	6.79002	−	29.9845i	0.297762	−	1.31491i
$521$	5.73970	+	3.31382i	0.251461	+	0.145181i	0.620433	−	0.784260i	$-0.286957\pi$
$521$	5.73970	+	3.31382i	0.251461	+	0.145181i	−0.368972	+	0.929440i	$0.620290\pi$
$522$	−1.90671	−	0.306620i	−0.0834546	−	0.0134204i
$523$	−18.6354	+	10.7592i	−0.814869	+	0.470465i	−0.848644	−	0.528964i	$-0.822580\pi$
$523$	−18.6354	+	10.7592i	−0.814869	+	0.470465i	0.0337747	+	0.999429i	$0.489247\pi$
$524$	0.483636	−	3.23363i	0.0211277	−	0.141262i
$525$	−1.50774	+	1.26221i	−0.0658030	+	0.0550872i
$526$	−9.06845	−	0.674407i	−0.395403	−	0.0294055i
$527$	3.12306	+	1.80310i	0.136043	+	0.0785443i
$528$	4.40900	+	23.6824i	0.191877	+	1.03065i
$529$	11.7311	+	20.3188i	0.510047	+	0.883427i
$530$	−16.1321	−	1.19972i	−0.700735	−	0.0521126i
$531$	19.2756	+	13.4380i	0.836488	+	0.583161i
$532$	−23.9883	−	35.7396i	−1.04002	−	1.54951i
$533$	24.3661	+	14.0678i	1.05541	+	0.609344i
$534$	−5.03230	−	11.6817i	−0.217769	−	0.505517i
$535$	−2.53931			−0.109784
$536$	−6.66306	+	29.4238i	−0.287800	+	1.27091i
$537$	−18.7135	−	0.797810i	−0.807549	−	0.0344280i
$538$	−7.52377	+	3.62852i	−0.324373	+	0.156437i
$539$	−2.22645	+	24.2370i	−0.0959000	+	1.04396i
$540$	−21.3758	−	6.06081i	−0.919868	−	0.260816i
$541$	−9.24892	+	5.33987i	−0.397642	+	0.229579i	−0.685466	−	0.728104i	$-0.740402\pi$
$541$	−9.24892	+	5.33987i	−0.397642	+	0.229579i	0.287824	+	0.957683i	$0.407068\pi$
$542$	−2.51994	+	33.8845i	−0.108241	+	1.45546i
$543$	−10.1525	−	19.4541i	−0.435687	−	0.834854i
$544$	13.8181	+	5.37798i	0.592447	+	0.230579i
$545$	−23.2044	+	13.3971i	−0.993969	+	0.573868i
$546$	−32.7865	+	3.26175i	−1.40313	+	0.139590i
$547$	21.4549	−	37.1609i	0.917343	−	1.58889i	0.113909	−	0.993491i	$-0.463663\pi$
$547$	21.4549	−	37.1609i	0.917343	−	1.58889i	0.803434	−	0.595394i	$-0.203004\pi$
$548$	−0.599711	+	0.753769i	−0.0256184	+	0.0321994i
$549$	−8.94715	+	12.8338i	−0.381855	+	0.547735i
$550$	1.90045	−	0.916538i	0.0810354	−	0.0390813i
$551$	−3.70274			−0.157742
$552$	−32.2247	−	8.75568i	−1.37157	−	0.372667i
$553$	6.08428	−	19.1519i	0.258730	−	0.814423i
$554$	25.7480	+	1.91484i	1.09393	+	0.0813538i
$555$	−3.36412	+	1.75564i	−0.142799	+	0.0745228i
$556$	−0.216119	−	0.171948i	−0.00916548	−	0.00729220i
$557$	−9.07376	−	5.23874i	−0.384467	−	0.221972i	0.295293	−	0.955407i	$-0.404583\pi$
$557$	−9.07376	−	5.23874i	−0.384467	−	0.221972i	−0.679760	+	0.733434i	$0.737916\pi$
$558$	5.45418	−	2.07887i	0.230894	−	0.0880056i
$559$	−38.3821			−1.62339
$560$	−1.82914	+	22.5521i	−0.0772954	+	0.952999i
$561$	13.9947	−	7.30344i	0.590856	−	0.308352i
$562$	−14.4536	+	6.97060i	−0.609688	+	0.294037i
$563$			27.4002i			1.15478i	0.816469	+	0.577390i	$0.195929\pi$
$563$			27.4002i			1.15478i	−0.816469	+	0.577390i	$0.804071\pi$
$564$	23.0976	−	26.6199i	0.972583	−	1.12090i
$565$	−13.3820			−0.562984
$566$	−13.1485	+	19.3089i	−0.552673	+	0.811612i
$567$	1.08471	+	23.7870i	0.0455534	+	0.998962i
$568$	18.2293	+	4.12805i	0.764884	+	0.173209i
$569$	−12.7459			−0.534335			−0.267168	−	0.963650i	$-0.586088\pi$
$569$	−12.7459			−0.534335			−0.267168	+	0.963650i	$0.586088\pi$
$570$	−42.3094	−	4.96599i	−1.77214	−	0.208003i
$571$	−0.607325			−0.0254157			−0.0127079	−	0.999919i	$-0.504045\pi$
$571$	−0.607325			−0.0254157			−0.0127079	+	0.999919i	$0.504045\pi$
$572$	34.9655	+	5.22959i	1.46198	+	0.218660i
$573$	37.9083	−	19.7833i	1.58364	−	0.826459i
$574$	−19.2155	−	7.71578i	−0.802038	−	0.322051i
$575$			2.92479i			0.121972i
$576$	20.8682	−	11.8541i	0.869507	−	0.493920i
$577$	6.93643	+	4.00475i	0.288767	+	0.166720i	0.637386	−	0.770545i	$-0.280016\pi$
$577$	6.93643	+	4.00475i	0.288767	+	0.166720i	−0.348618	+	0.937265i	$0.613349\pi$
$578$	−1.06239	+	14.2855i	−0.0441897	+	0.594199i
$579$	10.4514	+	20.0268i	0.434346	+	0.832285i
$580$	1.52311	+	1.21181i	0.0632436	+	0.0503177i
$581$	−21.4752	−	23.5384i	−0.890941	−	0.976536i
$582$	13.2732	−	17.8110i	0.550190	−	0.738289i
$583$		−	18.6028i		−	0.770449i
$584$	29.8147	−	32.2427i	1.23374	−	1.33421i
$585$	−18.6486	+	26.7497i	−0.771026	+	1.10596i
$586$	−0.733480	+	9.86278i	−0.0302998	+	0.407428i
$587$	−41.0822	−	23.7188i	−1.69564	−	0.978981i	−0.949798	−	0.312863i	$-0.898712\pi$
$587$	−41.0822	−	23.7188i	−1.69564	−	0.978981i	−0.745846	−	0.666118i	$-0.767955\pi$
$588$	23.5484	−	5.78573i	0.971118	−	0.238599i
$589$	9.69191	−	5.59563i	0.399348	−	0.230564i
$590$	−10.2873	−	21.3307i	−0.423520	−	0.878173i
$591$	−3.96133	+	2.06731i	−0.162947	+	0.0850377i
$592$	1.19928	−	3.91958i	0.0492903	−	0.161094i
$593$	12.9623	−	7.48376i	0.532296	−	0.307321i	−0.209655	−	0.977775i	$-0.567234\pi$
$593$	12.9623	−	7.48376i	0.532296	−	0.307321i	0.741951	+	0.670454i	$0.233901\pi$
$594$	5.12752	−	25.0308i	0.210385	−	1.02703i
$595$	14.4824	−	3.17773i	0.593721	−	0.130274i
$596$	−1.54089	+	10.3025i	−0.0631172	+	0.422008i
$597$	−0.771853	−	0.0329062i	−0.0315899	−	0.00134676i
$598$	−27.5846	+	40.5086i	−1.12802	+	1.65652i
$599$		−	39.6923i		−	1.62178i	−0.585195	−	0.810892i	$-0.698982\pi$
$599$		−	39.6923i		−	1.62178i	0.585195	−	0.810892i	$-0.301018\pi$
$600$	−1.48119	−	1.49160i	−0.0604692	−	0.0608943i
$601$	18.0692	+	10.4323i	0.737058	+	0.425540i	0.820998	−	0.570930i	$-0.193417\pi$
$601$	18.0692	+	10.4323i	0.737058	+	0.425540i	−0.0839409	+	0.996471i	$0.526751\pi$
$602$	27.9643	−	3.99114i	1.13974	−	0.162667i
$603$	18.2999	−	26.2495i	0.745231	−	1.06896i
$604$	24.2913	+	19.3266i	0.988400	+	0.786387i
$605$	−1.16469	−	2.01731i	−0.0473516	−	0.0820153i
$606$	−19.0912	+	8.22418i	−0.775525	+	0.334084i
$607$	−3.69369	+	6.39766i	−0.149922	+	0.259673i	−0.931199	−	0.364512i	$-0.881236\pi$
$607$	−3.69369	+	6.39766i	−0.149922	+	0.259673i	0.781276	+	0.624185i	$0.214569\pi$
$608$	35.8948	−	28.7923i	1.45573	−	1.16768i
$609$	0.715675	−	1.95933i	0.0290006	−	0.0793961i
$610$	14.2022	−	6.84936i	0.575030	−	0.277322i
$611$	−25.8624	−	44.7950i	−1.04628	−	1.81221i
$612$	−11.4291	−	10.8037i	−0.461996	−	0.436716i
$613$	27.7143	+	16.0009i	1.11937	+	0.646269i	0.941240	−	0.337738i	$-0.109662\pi$
$613$	27.7143	+	16.0009i	1.11937	+	0.646269i	0.178131	+	0.984007i	$0.442995\pi$
$614$	0.633453	−	0.930240i	0.0255641	−	0.0375414i
$615$	−18.1679	+	9.48134i	−0.732602	+	0.382324i
$616$	−26.0189	−	0.174290i	−1.04833	−	0.00702234i
$617$	−14.2551	−	24.6906i	−0.573890	−	0.994006i	−0.996161	−	0.0875368i	$-0.972100\pi$
$617$	−14.2551	−	24.6906i	−0.573890	−	0.994006i	0.422272	−	0.906469i	$-0.361233\pi$
$618$	−4.41593	−	3.29085i	−0.177635	−	0.132378i
$619$	20.2234	−	11.6760i	0.812849	−	0.469298i	−0.0350954	−	0.999384i	$-0.511174\pi$
$619$	20.2234	−	11.6760i	0.812849	−	0.469298i	0.847944	+	0.530085i	$0.177840\pi$
$620$	−5.81803	−	0.870169i	−0.233658	−	0.0349468i
$621$	28.1657	+	21.4749i	1.13025	+	0.861757i
$622$	−10.6186	−	7.23081i	−0.425767	−	0.289929i
$623$	13.4194	−	2.94449i	0.537638	−	0.117969i
$624$	−6.44680	−	34.6283i	−0.258079	−	1.38624i
$625$	11.3352	−	19.6332i	0.453409	−	0.785327i
$626$	13.2795	−	19.5012i	0.530755	−	0.779426i
$627$	2.08663	−	48.9442i	0.0833319	−	1.95464i
$628$	7.63498	+	19.3888i	0.304669	+	0.773699i
$629$	−2.68605			−0.107100
$630$	10.8054	−	21.4284i	0.430499	−	0.853729i
$631$		−	29.5430i		−	1.17609i	−0.808829	−	0.588043i	$-0.799898\pi$
$631$		−	29.5430i		−	1.17609i	0.808829	−	0.588043i	$-0.200102\pi$
$632$	20.9521	+	4.74464i	0.833430	+	0.188731i
$633$	19.3408	−	30.4278i	0.768727	−	1.20940i
$634$	−0.243636	+	0.357784i	−0.00967601	+	0.0142094i
$635$	11.1295	+	6.42560i	0.441660	+	0.254992i
$636$	−17.5185	+	6.05005i	−0.694653	+	0.239900i
$637$	3.25550	−	35.4391i	0.128988	−	1.40415i
$638$	−1.25981	+	1.85006i	−0.0498765	+	0.0732447i
$639$	−16.2627	−	11.3376i	−0.643342	−	0.448508i
$640$	−24.1882	+	0.0961704i	−0.956121	+	0.00380147i
$641$	13.9238	+	24.1168i	0.549958	+	0.952556i	0.998277	+	0.0586820i	$0.0186898\pi$
$641$	13.9238	+	24.1168i	0.549958	+	0.952556i	−0.448318	+	0.893874i	$0.647977\pi$
$642$	−2.67193	+	1.15103i	−0.105453	+	0.0454274i
$643$	29.8516	−	17.2349i	1.17723	−	0.679676i	0.221861	−	0.975078i	$-0.428787\pi$
$643$	29.8516	−	17.2349i	1.17723	−	0.679676i	0.955373	+	0.295402i	$0.0954536\pi$
$644$	15.8853	−	32.3821i	0.625968	−	1.27603i
$645$	14.9968	−	23.5936i	0.590497	−	0.928997i
$646$	−24.9242	−	16.9723i	−0.980628	−	0.667765i
$647$	−17.3591	+	30.0668i	−0.682456	+	1.18205i	0.291774	+	0.956487i	$0.405755\pi$
$647$	−17.3591	+	30.0668i	−0.682456	+	1.18205i	−0.974229	+	0.225560i	$0.927579\pi$
$648$	−25.2395	+	3.31195i	−0.991500	+	0.130105i
$649$	23.5849	−	13.6167i	0.925788	−	0.534504i
$650$	−2.77882	+	1.34015i	−0.108994	+	0.0525652i
$651$	1.08769	+	6.21008i	0.0426298	+	0.243392i
$652$	−5.01169	+	6.29912i	−0.196273	+	0.246693i
$653$	11.7219	+	6.76762i	0.458712	+	0.264837i	0.711502	−	0.702684i	$-0.248015\pi$
$653$	11.7219	+	6.76762i	0.458712	+	0.264837i	−0.252791	+	0.967521i	$0.581348\pi$
$654$	−18.3437	+	24.6150i	−0.717295	+	0.962522i
$655$	3.02689	−	1.74758i	0.118270	−	0.0682835i
$656$	6.47674	−	21.1677i	0.252874	−	0.826460i
$657$	−42.1741	+	19.7716i	−1.64537	+	0.771363i
$658$	23.5008	+	29.9474i	0.916157	+	1.16747i
$659$	−17.2124	+	29.8127i	−0.670499	+	1.16134i	0.307264	+	0.951624i	$0.400587\pi$
$659$	−17.2124	+	29.8127i	−0.670499	+	1.16134i	−0.977763	+	0.209714i	$0.932747\pi$
$660$	−16.8765	+	19.4501i	−0.656916	+	0.757094i
$661$	−14.7241			−0.572703			−0.286351	−	0.958125i	$-0.592442\pi$
$661$	−14.7241			−0.572703			−0.286351	+	0.958125i	$0.592442\pi$
$662$	36.5327	+	24.8772i	1.41988	+	0.966879i
$663$	−20.4629	+	10.6790i	−0.794714	+	0.414739i
$664$	23.1260	−	25.0092i	0.897463	−	0.970546i
$665$	13.9315	−	43.8533i	0.540242	−	1.70056i
$666$	−2.74402	+	3.37223i	−0.106328	+	0.130671i
$667$	−1.55136	−	2.68704i	−0.0600689	−	0.104042i
$668$	28.5243	−	35.8518i	1.10364	−	1.38715i
$669$	−24.9488	−	1.06364i	−0.964578	−	0.0411226i
$670$	−29.0483	+	14.0092i	−1.12223	+	0.541224i
$671$	9.06615	+	15.7030i	0.349995	+	0.606209i
$672$	8.29781	+	24.5590i	0.320095	+	0.947385i
$673$	−2.90448	+	5.03071i	−0.111959	+	0.193919i	−0.916560	−	0.399897i	$-0.869046\pi$
$673$	−2.90448	+	5.03071i	−0.111959	+	0.193919i	0.804601	+	0.593816i	$0.202379\pi$
$674$	−1.20224	+	16.1660i	−0.0463085	+	0.622690i
$675$	0.859570	+	2.05725i	0.0330849	+	0.0791835i
$676$	−25.4123	−	3.80077i	−0.977396	−	0.146183i
$677$	−28.0519			−1.07812			−0.539061	−	0.842266i	$-0.681221\pi$
$677$	−28.0519			−1.07812			−0.539061	+	0.842266i	$0.681221\pi$
$678$	−14.0809	+	6.06582i	−0.540773	+	0.232957i
$679$	16.1707	+	17.7243i	0.620575	+	0.680195i
$680$	4.69787	+	15.1385i	0.180155	+	0.580535i
$681$	3.12738	+	1.98785i	0.119842	+	0.0761747i
$682$	0.501718	−	6.74638i	0.0192118	−	0.258332i
$683$	6.52433	−	11.3005i	0.249647	−	0.432401i	−0.713781	−	0.700369i	$-0.753019\pi$
$683$	6.52433	−	11.3005i	0.249647	−	0.432401i	0.963428	+	0.267968i	$0.0863522\pi$
$684$	−46.7701	+	13.9528i	−1.78830	+	0.533497i
$685$	−1.02968			−0.0393422
$686$	1.31323	+	26.1587i	0.0501394	+	0.998742i
$687$	−4.27236	−	0.182143i	−0.163001	−	0.00694918i
$688$	6.78657	+	29.4256i	0.258736	+	1.12184i
$689$			27.2008i			1.03627i
$690$	−14.1228	−	32.7840i	−0.537648	−	1.24807i
$691$		−	32.1183i		−	1.22184i	−0.791694	−	0.610918i	$-0.790801\pi$
$691$		−	32.1183i		−	1.22184i	0.791694	−	0.610918i	$-0.209199\pi$
$692$	−4.64596	−	11.7983i	−0.176613	−	0.448504i
$693$	25.4958	+	10.5642i	0.968507	+	0.401301i
$694$	36.2947	+	24.7151i	1.37773	+	0.938172i
$695$		−	0.295228i		−	0.0111986i
$696$	2.15195	+	0.584700i	0.0815694	+	0.0221630i
$697$	−14.5060			−0.549455
$698$	16.1244	−	7.77638i	0.610317	−	0.294340i
$699$	11.3798	−	17.9033i	0.430425	−	0.677164i
$700$	1.88523	−	1.26536i	0.0712551	−	0.0478262i
$701$		−	19.3558i		−	0.731058i	−0.930800	−	0.365529i	$-0.880888\pi$
$701$		−	19.3558i		−	0.731058i	0.930800	−	0.365529i	$-0.119112\pi$
$702$	−7.49742	+	36.5999i	−0.282972	+	1.38137i
$703$	−4.16786	+	7.21895i	−0.157194	+	0.272268i
$704$	−2.17321	−	27.7310i	−0.0819059	−	1.04515i
$705$	37.6407	+	1.60473i	1.41763	+	0.0604376i
$706$	13.7014	+	1.01895i	0.515659	+	0.0383488i
$707$	−4.81211	−	21.9311i	−0.180978	−	0.824802i
$708$	−20.4934	−	17.7817i	−0.770190	−	0.668279i
$709$			22.2711i			0.836408i	0.908353	+	0.418204i	$0.137340\pi$
$709$			22.2711i			0.836408i	−0.908353	+	0.418204i	$0.862660\pi$
$710$	8.67931	+	17.9966i	0.325729	+	0.675401i
$711$	−18.6918	−	13.0310i	−0.700997	−	0.488702i
$712$	4.35305	+	14.0273i	0.163138	+	0.525697i
$713$	8.12136	+	4.68887i	0.304147	+	0.175600i
$714$	13.7984	−	9.90834i	0.516392	−	0.370810i
$715$	18.8967	+	32.7300i	0.706695	+	1.22403i
$716$	21.3902	+	3.19921i	0.799391	+	0.119560i
$717$	2.13753	+	1.35867i	0.0798274	+	0.0507406i
$718$	−32.8876	−	2.44580i	−1.22735	−	0.0912765i
$719$	21.2576	+	36.8192i	0.792775	+	1.37313i	0.924243	+	0.381806i	$0.124698\pi$
$719$	21.2576	+	36.8192i	0.792775	+	1.37313i	−0.131468	+	0.991320i	$0.541969\pi$
$720$	23.8050	+	9.56719i	0.887162	+	0.356548i
$721$	4.39443	−	4.00925i	0.163657	−	0.149312i
$722$	−60.0857	+	28.9778i	−2.23616	+	1.07844i
$723$	3.10534	+	1.97384i	0.115489	+	0.0734081i
$724$	9.28403	+	23.5765i	0.345038	+	0.876215i
$725$		−	0.195316i		−	0.00725387i
$726$	−2.13994	−	1.59473i	−0.0794205	−	0.0591861i
$727$	9.34846	−	16.1920i	0.346715	−	0.600529i	−0.638949	−	0.769249i	$-0.720630\pi$
$727$	9.34846	−	16.1920i	0.346715	−	0.600529i	0.985664	+	0.168721i	$0.0539637\pi$
$728$	38.0446	+	0.254845i	1.41003	+	0.00944519i
$729$	26.1225	+	6.82739i	0.967501	+	0.252866i
$730$	46.8149	+	3.48156i	1.73270	+	0.128858i
$731$	17.1377	−	9.89443i	0.633859	−	0.365959i
$732$	11.8392	−	13.6447i	0.437591	−	0.504323i
$733$	17.2708	−	29.9139i	0.637911	−	1.10489i	−0.347979	−	0.937502i	$-0.613132\pi$
$733$	17.2708	−	29.9139i	0.637911	−	1.10489i	0.985890	−	0.167392i	$-0.0535346\pi$
$734$	1.69633	−	22.8098i	0.0626126	−	0.841924i
$735$	20.5125	+	15.8480i	0.756616	+	0.584564i
$736$	35.9333	+	13.9852i	1.32452	+	0.515500i
$737$	−18.5433	−	32.1180i	−0.683053	−	1.18308i
$738$	−14.8191	+	18.2117i	−0.545497	+	0.670384i
$739$	−5.00581	+	8.67033i	−0.184142	+	0.318943i	−0.943287	−	0.331978i	$-0.892284\pi$
$739$	−5.00581	+	8.67033i	−0.184142	+	0.318943i	0.759145	+	0.650921i	$0.225617\pi$
$740$	4.07700	−	1.60545i	0.149874	−	0.0590176i
$741$	−3.05105	+	71.5658i	−0.112083	+	2.62904i
$742$	−2.82847	−	19.8179i	−0.103836	−	0.727539i
$743$	29.5323	−	17.0505i	1.08344	−	0.625522i	0.151615	−	0.988440i	$-0.451553\pi$
$743$	29.5323	−	17.0505i	1.08344	−	0.625522i	0.931821	+	0.362918i	$0.118219\pi$
$744$	−6.51632	+	1.72160i	−0.238900	+	0.0631169i
$745$	−9.64383	+	5.56787i	−0.353322	+	0.203991i
$746$	−14.8096	−	30.7077i	−0.542216	−	1.12429i
$747$	−32.7126	+	15.3360i	−1.19689	+	0.561114i
$748$	−16.9603	+	6.67866i	−0.620129	+	0.244196i
$749$	−0.673486	−	3.06939i	−0.0246086	−	0.112153i
$750$	3.31438	−	28.2379i	0.121024	−	1.03110i
$751$	−1.37947	−	0.796435i	−0.0503374	−	0.0290623i	0.474620	−	0.880191i	$-0.342585\pi$
$751$	−1.37947	−	0.796435i	−0.0503374	−	0.0290623i	−0.524958	+	0.851128i	$0.675919\pi$
$752$	−29.7692	+	27.7479i	−1.08557	+	1.01186i
$753$	−45.5379	+	23.7649i	−1.65949	+	0.866043i
$754$	1.84209	−	2.70515i	0.0670849	−	0.0985156i
$755$			33.1831i			1.20766i
$756$	1.65663	−	27.4455i	0.0602511	−	0.998183i
$757$			19.7086i			0.716323i	0.933660	+	0.358161i	$0.116596\pi$
$757$			19.7086i			0.716323i	−0.933660	+	0.358161i	$0.883404\pi$
$758$	−1.46530	−	0.997806i	−0.0532221	−	0.0362420i
$759$	36.3925	−	18.9922i	1.32096	−	0.689374i
$760$	47.9753	+	10.8641i	1.74025	+	0.394081i
$761$	24.3156	+	14.0386i	0.881441	+	0.508900i	0.871133	−	0.491047i	$-0.163386\pi$
$761$	24.3156	+	14.0386i	0.881441	+	0.508900i	0.0103075	+	0.999947i	$0.496719\pi$
$762$	14.6234	+	1.71639i	0.529748	+	0.0621783i
$763$	−22.3481	−	24.4952i	−0.809057	−	0.886785i
$764$	−45.9414	+	18.0909i	−1.66210	+	0.654506i
$765$	1.43090	−	16.7512i	0.0517343	−	0.605640i
$766$	14.3469	−	6.91917i	0.518376	−	0.250000i
$767$	−34.4856	+	19.9103i	−1.24520	+	0.718919i
$768$	−25.4079	+	11.0653i	−0.916827	+	0.399284i
$769$	−8.59535	+	4.96253i	−0.309956	+	0.178953i	−0.646907	−	0.762569i	$-0.723938\pi$
$769$	−8.59535	+	4.96253i	−0.309956	+	0.178953i	0.336951	+	0.941522i	$0.390604\pi$
$770$	−17.1711	−	21.8814i	−0.618804	−	0.788551i
$771$	0.121985	−	2.86130i	0.00439319	−	0.103047i
$772$	−9.55735	−	24.2706i	−0.343976	−	0.873518i
$773$	−5.95467	+	10.3138i	−0.214175	+	0.370961i	−0.953017	−	0.302917i	$-0.902039\pi$
$773$	−5.95467	+	10.3138i	−0.214175	+	0.370961i	0.738842	+	0.673878i	$0.235373\pi$
$774$	5.08542	−	31.6236i	0.182792	−	1.13669i
$775$	0.295165	+	0.511240i	0.0106026	+	0.0183643i
$776$	−17.4138	+	18.8318i	−0.625118	+	0.676023i
$777$	−3.01438	−	3.60074i	−0.108140	−	0.129176i
$778$	49.3108	+	3.66717i	1.76788	+	0.131475i
$779$	−22.5085	+	38.9859i	−0.806452	+	1.39682i
$780$	24.6766	−	28.4398i	0.883566	−	1.01831i
$781$	−19.8984	+	11.4884i	−0.712022	+	0.411086i
$782$	1.87395	−	25.1981i	0.0670122	−	0.901083i
$783$	−1.88089	−	1.43408i	−0.0672177	−	0.0512499i
$784$	−27.7450	+	3.77038i	−0.990892	+	0.134656i
$785$	−11.1377	+	19.2911i	−0.397522	+	0.688529i
$786$	2.39283	−	3.21089i	0.0853495	−	0.114529i
$787$			7.93246i			0.282762i	0.989955	+	0.141381i	$0.0451542\pi$
$787$			7.93246i			0.282762i	−0.989955	+	0.141381i	$0.954846\pi$
$788$	4.80077	−	1.89046i	0.171020	−	0.0673449i
$789$	−9.39917	−	5.97438i	−0.334619	−	0.212693i
$790$	9.97571	+	20.6847i	0.354920	+	0.735929i
$791$	−3.54922	−	16.1755i	−0.126196	−	0.575134i
$792$	−8.94149	+	28.1158i	−0.317722	+	0.999050i
$793$	−13.2564	−	22.9608i	−0.470750	−	0.815363i
$794$	−2.85102	+	38.3363i	−0.101179	+	1.36051i
$795$	−16.7205	−	10.6280i	−0.593013	−	0.376936i
$796$	0.882256	+	0.131954i	0.0312707	+	0.00467698i
$797$	−16.8171	−	29.1281i	−0.595692	−	1.03177i	−0.993449	−	0.114278i	$-0.963545\pi$
$797$	−16.8171	−	29.1281i	−0.595692	−	1.03177i	0.397757	−	0.917491i	$-0.369789\pi$
$798$	−5.21881	−	52.4586i	−0.184744	−	1.85701i
$799$	23.0952	+	13.3340i	0.817051	+	0.471724i
$800$	1.51877	+	1.89342i	0.0536966	+	0.0669426i
$801$	1.32587	−	15.5217i	0.0468474	−	0.548431i
$802$	13.9528	−	6.72910i	0.492692	−	0.237613i
$803$			53.9847i			1.90508i
$804$	−24.2152	+	27.9080i	−0.854006	+	0.984240i
$805$	37.6608	−	8.26353i	1.32737	−	0.291251i
$806$	−0.733608	+	9.86450i	−0.0258402	+	0.347462i
$807$	−10.2211	−	0.435752i	−0.359798	−	0.0153392i
$808$	22.9246	−	7.11409i	0.806483	−	0.250273i
$809$	0.384877	−	0.666626i	0.0135315	−	0.0234373i	−0.859180	−	0.511673i	$-0.829026\pi$
$809$	0.384877	−	0.666626i	0.0135315	−	0.0234373i	0.872712	+	0.488236i	$0.162359\pi$
$810$	−19.5687	−	18.9091i	−0.687573	−	0.664399i
$811$		−	13.7780i		−	0.483810i	−0.970300	−	0.241905i	$-0.922228\pi$
$811$		−	13.7780i		−	0.483810i	0.970300	−	0.241905i	$-0.0777723\pi$
$812$	−1.06081	+	2.16246i	−0.0372272	+	0.0758875i
$813$	−22.3234	+	35.1202i	−0.782915	+	1.23172i
$814$	2.18886	+	4.53862i	0.0767195	+	0.159078i
$815$	−8.60489			−0.301416
$816$	11.8053	+	13.7997i	0.413267	+	0.483085i
$817$		−	61.4115i		−	2.14852i
$818$	−6.93217	+	10.1801i	−0.242378	+	0.355937i
$819$	−37.2798	−	15.4469i	−1.30266	−	0.539758i
$820$	22.0179	−	8.67025i	0.768897	−	0.302778i
$821$		−	9.71838i		−	0.339174i	−0.985515	−	0.169587i	$-0.945757\pi$
$821$		−	9.71838i		−	0.339174i	0.985515	−	0.169587i	$-0.0542434\pi$
$822$	−1.08346	+	0.466738i	−0.0377900	+	0.0162794i
$823$			40.9493i			1.42740i	0.700451	+	0.713701i	$0.252982\pi$
$823$			40.9493i			1.42740i	−0.700451	+	0.713701i	$0.747018\pi$
$824$	4.66903	+	4.31744i	0.162653	+	0.150405i
$825$	2.58177	+	0.110068i	0.0898855	+	0.00383207i
$826$	23.0551	−	18.0922i	0.802190	−	0.629508i
$827$	6.32932			0.220092			0.110046	−	0.993926i	$-0.464900\pi$
$827$	6.32932			0.220092			0.110046	+	0.993926i	$0.464900\pi$
$828$	−29.7209	−	28.0946i	−1.03287	−	0.976354i
$829$	16.5800	−	28.7174i	0.575846	−	0.997395i	−0.420103	−	0.907477i	$-0.638006\pi$
$829$	16.5800	−	28.7174i	0.575846	−	0.997395i	0.995949	−	0.0899187i	$-0.0286607\pi$
$830$	36.3123	+	2.70049i	1.26042	+	0.0937354i
$831$	26.6870	+	16.9630i	0.925762	+	0.588441i
$832$	3.17765	+	40.5480i	0.110165	+	1.40575i
$833$	7.68218	+	16.6628i	0.266172	+	0.577333i
$834$	−0.133822	−	0.310647i	−0.00463388	−	0.0107568i
$835$	48.9752			1.69486
$836$	−8.36737	+	55.9450i	−0.289391	+	1.93490i
$837$	7.09044	+	0.911274i	0.245081	+	0.0314982i
$838$	−0.510462	−	0.0379623i	−0.0176336	−	0.00131139i
$839$	5.61926	−	9.73284i	0.193998	−	0.336015i	−0.752573	−	0.658508i	$-0.771188\pi$
$839$	5.61926	−	9.73284i	0.193998	−	0.336015i	0.946572	+	0.322493i	$0.104521\pi$
$840$	−15.0216	+	23.2866i	−0.518293	+	0.803464i
$841$	−14.3964	−	24.9353i	−0.496428	−	0.859838i
$842$	−17.3174	−	35.9077i	−0.596795	−	1.23746i
$843$	−19.6352	−	0.837105i	−0.676274	−	0.0288314i
$844$	−25.9201	+	32.5787i	−0.892208	+	1.12140i
$845$	−13.7337	−	23.7876i	−0.472455	−	0.818317i
$846$	40.3340	−	15.3734i	1.38671	−	0.528548i
$847$	2.12952	−	1.94286i	0.0731712	−	0.0667576i
$848$	20.8535	−	4.80955i	0.716113	−	0.165161i
$849$	−25.3644	+	13.2370i	−0.870505	+	0.454293i
$850$	0.895273	−	1.31473i	0.0307076	−	0.0450948i
$851$	−6.98493			−0.239440
$852$	17.2902	+	15.0024i	0.592352	+	0.513972i
$853$	−7.50178	+	12.9935i	−0.256856	+	0.444888i	−0.965398	−	0.260781i	$-0.916020\pi$
$853$	−7.50178	+	12.9935i	−0.256856	+	0.444888i	0.708542	+	0.705669i	$0.249353\pi$
$854$	12.0459	+	15.3503i	0.412203	+	0.525277i
$855$	−42.7997	−	29.8379i	−1.46372	−	1.02044i
$856$	3.20844	−	0.995663i	0.109662	−	0.0340310i
$857$	−37.4057	+	21.5962i	−1.27775	+	0.737711i	−0.976435	−	0.215812i	$-0.930760\pi$
$857$	−37.4057	+	21.5962i	−1.27775	+	0.737711i	−0.301319	+	0.953524i	$0.597427\pi$
$858$	34.7195	+	25.8738i	1.18531	+	0.883319i
$859$	27.3403	+	15.7849i	0.932838	+	0.538574i	0.887708	−	0.460407i	$-0.152296\pi$
$859$	27.3403	+	15.7849i	0.932838	+	0.538574i	0.0451300	+	0.998981i	$0.485630\pi$
$860$	−20.0984	+	25.2614i	−0.685349	+	0.861405i
$861$	−16.2792	−	19.4458i	−0.554792	−	0.662712i
$862$	−5.98247	−	12.4047i	−0.203764	−	0.422506i
$863$	42.7135	−	24.6606i	1.45398	−	0.839458i	0.455280	−	0.890348i	$-0.349539\pi$
$863$	42.7135	−	24.6606i	1.45398	−	0.839458i	0.998704	+	0.0508904i	$0.0162059\pi$
$864$	29.3850	−	0.723565i	0.999697	−	0.0246162i
$865$	6.77741	−	11.7388i	0.230439	−	0.399132i
$866$	12.3036	−	18.0681i	0.418093	−	0.613979i
$867$	−9.41142	+	14.8065i	−0.319628	+	0.502854i
$868$	−0.491265	−	7.26334i	−0.0166746	−	0.246534i
$869$	−22.8706	+	13.2043i	−0.775832	+	0.447927i
$870$	0.943117	+	2.18930i	0.0319747	+	0.0742243i
$871$	27.1139	+	46.9627i	0.918720	+	1.59127i
$872$	24.0660	−	26.0258i	0.814979	−	0.881345i
$873$	24.6324	−	11.5479i	0.833682	−	0.390837i
$874$	−64.8140	−	44.1355i	−2.19237	−	1.49291i
$875$	29.2684	+	9.29813i	0.989452	+	0.314334i
$876$	50.8381	−	17.5570i	1.71766	−	0.593197i
$877$	−48.2941	−	27.8826i	−1.63078	−	0.941529i	−0.983854	−	0.178973i	$-0.942723\pi$
$877$	−48.2941	−	27.8826i	−1.63078	−	0.941529i	−0.646922	−	0.762556i	$-0.723944\pi$
$878$	−14.6343	−	9.96534i	−0.493885	−	0.336314i
$879$	−6.49768	+	10.2225i	−0.219161	+	0.344795i
$880$	21.7512	−	20.2743i	0.733233	−	0.683447i
$881$			0.494631i			0.0166645i	0.999965	+	0.00833227i	$0.00265227\pi$
$881$			0.494631i			0.0166645i	−0.999965	+	0.00833227i	$0.997348\pi$
$882$	28.7675	+	7.37775i	0.968652	+	0.248422i
$883$	−43.5451			−1.46541			−0.732704	−	0.680547i	$-0.761742\pi$
$883$	−43.5451			−1.46541			−0.732704	+	0.680547i	$0.761742\pi$
$884$	24.7992	−	9.76548i	0.834087	−	0.328449i
$885$	1.23541	−	28.9779i	0.0415277	−	0.974080i
$886$	−21.1752	−	14.4194i	−0.711394	−	0.484428i
$887$	−8.34443	+	14.4530i	−0.280179	+	0.485283i	−0.971429	−	0.237332i	$-0.923727\pi$
$887$	−8.34443	+	14.4530i	−0.280179	+	0.485283i	0.691250	+	0.722616i	$0.257060\pi$
$888$	3.56221	−	3.53734i	0.119540	−	0.118705i
$889$	−4.81515	+	15.1570i	−0.161495	+	0.508349i
$890$	−8.83701	+	12.9773i	−0.296217	+	0.435002i
$891$	20.0162	−	24.0542i	0.670567	−	0.805846i
$892$	28.5174	+	4.26518i	0.954833	+	0.142809i
$893$	71.6723	−	41.3800i	2.39842	−	1.38473i
$894$	−7.62368	+	10.2300i	−0.254974	+	0.342144i
$895$	11.5601	+	20.0227i	0.386411	+	0.669283i
$896$	−6.53153	−	29.2120i	−0.218203	−	0.975903i
$897$	−53.2128	+	27.7703i	−1.77672	+	0.927222i
$898$	12.0684	+	8.21806i	0.402728	+	0.274240i
$899$	−0.542341	−	0.313121i	−0.0180881	−	0.0104432i
$900$	−0.735996	−	2.46708i	−0.0245332	−	0.0822360i
$901$	−7.01204	−	12.1452i	−0.233605	−	0.404616i
$902$	11.8209	+	24.5108i	0.393594	+	0.816120i
$903$	32.4963	+	11.8698i	1.08141	+	0.395001i
$904$	16.9082	−	5.24707i	0.562360	−	0.174515i
$905$	−13.5433	+	23.4577i	−0.450195	+	0.779760i
$906$	15.0413	+	34.9161i	0.499715	+	1.16001i
$907$	27.2967	+	47.2793i	0.906372	+	1.56988i	0.819065	+	0.573701i	$0.194493\pi$
$907$	27.2967	+	47.2793i	0.906372	+	1.56988i	0.0873072	+	0.996181i	$0.472174\pi$
$908$	−3.34845	−	2.66408i	−0.111122	−	0.0884106i
$909$	−25.3667	−	2.16684i	−0.841360	−	0.0718696i
$910$	25.1075	+	31.9948i	0.832304	+	1.06062i
$911$	6.96825	+	4.02312i	0.230868	+	0.133292i	0.610973	−	0.791652i	$-0.290779\pi$
$911$	6.96825	+	4.02312i	0.230868	+	0.133292i	−0.380104	+	0.924944i	$0.624112\pi$
$912$	55.4054	−	10.3149i	1.83466	−	0.341561i
$913$			41.8736i			1.38581i
$914$	−6.02195	−	4.10069i	−0.199188	−	0.135639i
$915$	19.2937	+	0.822545i	0.637831	+	0.0271925i
$916$	4.88346	+	0.730391i	0.161354	+	0.0241328i
$917$	2.91519	+	3.19526i	0.0962681	+	0.105517i
$918$	−6.08740	−	18.2747i	−0.200914	−	0.603153i
$919$	49.5963	−	28.6344i	1.63603	−	0.944563i	0.653851	−	0.756623i	$-0.273152\pi$
$919$	49.5963	−	28.6344i	1.63603	−	0.944563i	0.982180	−	0.187940i	$-0.0601811\pi$
$920$	12.2166	+	39.3669i	0.402768	+	1.29789i
$921$	1.22198	−	0.637717i	0.0402656	−	0.0210135i
$922$	−6.89696	+	3.32623i	−0.227139	+	0.109543i
$923$	29.0953	−	16.7982i	0.957685	−	0.552920i
$924$	−27.9864	−	15.2408i	−0.920685	−	0.501386i
$925$	−0.380793	−	0.219851i	−0.0125204	−	0.00722866i
$926$	−27.2976	−	2.03008i	−0.897056	−	0.0667127i
$927$	−2.86311	−	6.10719i	−0.0940367	−	0.200587i
$928$	−2.39961	−	0.933922i	−0.0787711	−	0.0306575i
$929$		−	30.6044i		−	1.00410i	−0.864839	−	0.502049i	$-0.832580\pi$
$929$		−	30.6044i		−	1.00410i	0.864839	−	0.502049i	$-0.167420\pi$
$930$	−5.77711	−	4.30524i	−0.189439	−	0.141174i
$931$	56.7027	+	5.20881i	1.85836	+	0.170712i
$932$	−15.2510	+	19.1688i	−0.499564	+	0.627895i
$933$	−7.27947	−	13.9488i	−0.238319	−	0.456662i
$934$	26.9502	+	2.00425i	0.881839	+	0.0655810i
$935$	−16.8748	−	9.74266i	−0.551864	−	0.318619i
$936$	13.0742	−	41.1106i	0.427343	−	1.34374i
$937$			21.1158i			0.689822i	0.938635	+	0.344911i	$0.112091\pi$
$937$			21.1158i			0.689822i	−0.938635	+	0.344911i	$0.887909\pi$
$938$	−24.6380	−	31.3966i	−0.804459	−	1.02513i
$939$	25.6171	−	13.3689i	0.835984	−	0.436277i
$940$	−43.0247	−	6.43495i	−1.40331	−	0.209885i
$941$	−18.7928			−0.612627			−0.306313	−	0.951931i	$-0.599096\pi$
$941$	−18.7928			−0.612627			−0.306313	+	0.951931i	$0.599096\pi$
$942$	−2.97508	+	25.3472i	−0.0969334	+	0.825855i
$943$	−37.7222			−1.22840
$944$	21.3618	+	22.9179i	0.695269	+	0.745916i
$945$	24.0614	−	16.8806i	0.782716	−	0.549125i
$946$	−30.6841	−	20.8945i	−0.997625	−	0.679339i
$947$	−25.1259			−0.816483			−0.408242	−	0.912874i	$-0.633858\pi$
$947$	−25.1259			−0.816483			−0.408242	+	0.912874i	$0.633858\pi$
$948$	19.8727	+	17.2432i	0.645437	+	0.560033i
$949$		−	78.9359i		−	2.56237i
$950$	−2.14425	−	4.44613i	−0.0695688	−	0.144251i
$951$	−0.469992	+	0.245275i	−0.0152405	+	0.00795360i
$952$	−17.0527	+	9.69365i	−0.552681	+	0.314173i
$953$	9.21172			0.298397			0.149198	−	0.988807i	$-0.452331\pi$
$953$	9.21172			0.298397			0.149198	+	0.988807i	$0.452331\pi$
$954$	−22.4112	−	3.60397i	−0.725590	−	0.116683i
$955$	−45.7098	−	26.3906i	−1.47913	−	0.853979i
$956$	−2.28862	−	1.82087i	−0.0740194	−	0.0588911i
$957$	−2.43027	+	1.26829i	−0.0785596	+	0.0409981i
$958$	−1.53080	+	20.5840i	−0.0494580	+	0.665039i
$959$	−0.273097	−	1.24463i	−0.00881876	−	0.0401912i
$960$	−26.1666	−	13.8897i	−0.844523	−	0.448289i
$961$	−29.1072			−0.938943
$962$	−3.20053	−	6.63632i	−0.103189	−	0.213964i
$963$	−3.55023	−	0.303263i	−0.114405	−	0.00977253i
$964$	−3.32485	−	2.64531i	−0.107086	−	0.0851996i
$965$	13.9420	−	24.1483i	0.448809	−	0.777360i
$966$	35.8820	−	25.7661i	1.15448	−	0.829011i
$967$	−12.1615	+	7.02143i	−0.391087	+	0.225794i	−0.682631	−	0.730763i	$-0.739164\pi$
$967$	−12.1615	+	7.02143i	−0.391087	+	0.225794i	0.291544	+	0.956557i	$0.405831\pi$
$968$	2.26259	+	2.09221i	0.0727224	+	0.0672463i
$969$	−17.0865	−	32.7408i	−0.548898	−	1.05179i
$970$	−27.3430	−	2.03346i	−0.877931	−	0.0652904i
$971$	−39.1866	+	22.6244i	−1.25756	+	0.726051i	−0.972599	−	0.232488i	$-0.925313\pi$
$971$	−39.1866	+	22.6244i	−1.25756	+	0.726051i	−0.284959	+	0.958540i	$0.591980\pi$
$972$	−29.1619	−	11.0265i	−0.935368	−	0.353676i
$973$	0.356857	−	0.0783016i	0.0114403	−	0.00251023i
$974$	−22.4335	−	46.5161i	−0.718817	−	1.49047i
$975$	−3.77504	−	0.160940i	−0.120898	−	0.00515421i
$976$	−15.2590	+	14.2229i	−0.488428	+	0.455264i
$977$	21.1700			0.677288			0.338644	−	0.940914i	$-0.390032\pi$
$977$	21.1700			0.677288			0.338644	+	0.940914i	$0.390032\pi$
$978$	−9.05430	+	3.90045i	−0.289525	+	0.124723i
$979$	−15.6362	−	9.02756i	−0.499735	−	0.288522i
$980$	−21.6197	−	20.6999i	−0.690616	−	0.661235i
$981$	−34.0423	+	15.9593i	−1.08689	+	0.509543i
$982$	3.57586	−	48.0830i	0.114110	−	1.53439i
$983$	−15.4989	−	26.8449i	−0.494339	−	0.856220i	0.505640	−	0.862745i	$-0.331256\pi$
$983$	−15.4989	−	26.8449i	−0.494339	−	0.856220i	−0.999979	+	0.00652472i	$0.997923\pi$
$984$	19.2377	−	19.1034i	0.613276	−	0.608994i
$985$	4.77657	+	2.75775i	0.152194	+	0.0878694i
$986$	−0.125141	+	1.68272i	−0.00398531	+	0.0535887i
$987$	8.04352	+	45.9239i	0.256028	+	1.46177i
$988$	12.2347	−	81.8023i	0.389237	−	2.60248i
$989$	44.5656	−	25.7299i	1.41710	−	0.818165i
$990$	−29.4705	+	11.2327i	−0.936634	+	0.356999i
$991$	−0.352487	−	0.203509i	−0.0111971	−	0.00646467i	0.494391	−	0.869240i	$-0.335391\pi$
$991$	−0.352487	−	0.203509i	−0.0111971	−	0.00646467i	−0.505588	+	0.862775i	$0.668724\pi$
$992$	7.69233	−	1.18178i	0.244232	−	0.0375217i
$993$	25.0446	+	47.9899i	0.794767	+	1.52291i
$994$	−19.4515	+	15.2643i	−0.616963	+	0.484153i
$995$	0.476804	+	0.825849i	0.0151157	+	0.0261812i
$996$	39.4329	−	13.6182i	1.24948	−	0.431510i
$997$	−13.8611	−	24.0081i	−0.438984	−	0.760343i	0.558627	−	0.829419i	$-0.311328\pi$
$997$	−13.8611	−	24.0081i	−0.438984	−	0.760343i	−0.997611	+	0.0690762i	$0.977995\pi$
$998$	7.56471	−	3.64827i	0.239457	−	0.115484i
$999$	−4.91308	+	2.05281i	−0.155443	+	0.0649480i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bf.b.115.15	✓	180
7.5	odd	6		504.2.cz.b.187.45	yes	180
8.3	odd	2	inner	504.2.bf.b.115.16	yes	180
9.4	even	3		504.2.cz.b.283.76	yes	180
56.19	even	6		504.2.cz.b.187.76	yes	180
63.40	odd	6	inner	504.2.bf.b.355.15	yes	180
72.67	odd	6		504.2.cz.b.283.45	yes	180
504.355	even	6	inner	504.2.bf.b.355.16	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.15	✓	180	1.1	even	1	trivial
504.2.bf.b.115.16	yes	180	8.3	odd	2	inner
504.2.bf.b.355.15	yes	180	63.40	odd	6	inner
504.2.bf.b.355.16	yes	180	504.355	even	6	inner
504.2.cz.b.187.45	yes	180	7.5	odd	6
504.2.cz.b.187.76	yes	180	56.19	even	6
504.2.cz.b.283.45	yes	180	72.67	odd	6
504.2.cz.b.283.76	yes	180	9.4	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.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16893 - 0.795991i) q^{2} +(-0.801348 - 1.53553i) q^{3} +(0.732796 + 1.86092i) q^{4} +(-1.06898 + 1.85154i) q^{5} +(-0.285545 + 2.43279i) q^{6} +(-2.52157 - 0.801064i) q^{7} +(0.624685 - 2.75858i) q^{8} +(-1.71568 + 2.46098i) q^{9} +O(q^{10})\)	\(q+(-1.16893 - 0.795991i) q^{2} +(-0.801348 - 1.53553i) q^{3} +(0.732796 + 1.86092i) q^{4} +(-1.06898 + 1.85154i) q^{5} +(-0.285545 + 2.43279i) q^{6} +(-2.52157 - 0.801064i) q^{7} +(0.624685 - 2.75858i) q^{8} +(-1.71568 + 2.46098i) q^{9} +(2.72337 - 1.31341i) q^{10} +(1.73850 + 3.01117i) q^{11} +(2.27026 - 2.61647i) q^{12} +(-2.54202 - 4.40291i) q^{13} +(2.30990 + 2.94353i) q^{14} +(3.69971 + 0.157729i) q^{15} +(-2.92602 + 2.72735i) q^{16} +(2.27003 + 1.31060i) q^{17} +(3.96443 - 1.51105i) q^{18} +(7.04468 - 4.06725i) q^{19} +(-4.22890 - 0.632492i) q^{20} +(0.790598 + 4.51386i) q^{21} +(0.364679 - 4.90368i) q^{22} +(5.90310 + 3.40816i) q^{23} +(-4.73646 + 1.25136i) q^{24} +(0.214544 + 0.371601i) q^{25} +(-0.533231 + 7.17012i) q^{26} +(5.15376 + 0.662370i) q^{27} +(-0.357081 - 5.27944i) q^{28} +(-0.394206 - 0.227595i) q^{29} +(-4.19915 - 3.12931i) q^{30} +1.37578 q^{31} +(5.59125 - 0.858993i) q^{32} +(3.23059 - 5.08251i) q^{33} +(-1.61028 - 3.33893i) q^{34} +(4.17871 - 3.81244i) q^{35} +(-5.83693 - 1.38934i) q^{36} +(-0.887449 + 0.512369i) q^{37} +(-11.4722 - 0.853172i) q^{38} +(-4.72374 + 7.43160i) q^{39} +(4.43983 + 4.10551i) q^{40} +(-4.79267 + 2.76705i) q^{41} +(2.66884 - 5.90570i) q^{42} +(3.77476 - 6.53808i) q^{43} +(-4.32957 + 5.44178i) q^{44} +(-2.72256 - 5.80740i) q^{45} +(-4.18745 - 8.68271i) q^{46} +10.1740 q^{47} +(6.53267 + 2.30742i) q^{48} +(5.71659 + 4.03987i) q^{49} +(0.0450041 - 0.605150i) q^{50} +(0.193380 - 4.53594i) q^{51} +(6.33066 - 7.95692i) q^{52} +(-4.63344 - 2.67512i) q^{53} +(-5.49715 - 4.87661i) q^{54} -7.43372 q^{55} +(-3.78498 + 6.45553i) q^{56} +(-11.8906 - 7.55800i) q^{57} +(0.279636 + 0.579828i) q^{58} -7.83247i q^{59} +(2.41761 + 7.00044i) q^{60} +5.21493 q^{61} +(-1.60819 - 1.09511i) q^{62} +(6.29761 - 4.83116i) q^{63} +(-7.21954 - 3.44649i) q^{64} +10.8695 q^{65} +(-7.82196 + 3.36958i) q^{66} -10.6663 q^{67} +(-0.775452 + 5.18475i) q^{68} +(0.502874 - 11.7955i) q^{69} +(-7.91930 + 1.13026i) q^{70} +6.60821i q^{71} +(5.71706 + 6.27019i) q^{72} +(13.4461 + 7.76311i) q^{73} +(1.44521 + 0.107478i) q^{74} +(0.398678 - 0.627219i) q^{75} +(12.7311 + 10.1291i) q^{76} +(-1.97160 - 8.98552i) q^{77} +(11.4372 - 4.92697i) q^{78} +7.59525i q^{79} +(-1.92191 - 8.33312i) q^{80} +(-3.11287 - 8.44453i) q^{81} +(7.80484 + 0.580434i) q^{82} +(10.4296 + 6.02151i) q^{83} +(-7.82057 + 4.77898i) q^{84} +(-4.85326 + 2.80203i) q^{85} +(-9.61668 + 4.63788i) q^{86} +(-0.0335817 + 0.787697i) q^{87} +(9.39257 - 2.91476i) q^{88} +(-4.49704 + 2.59637i) q^{89} +(-1.44015 + 8.95558i) q^{90} +(2.88286 + 13.1385i) q^{91} +(-2.01652 + 13.4827i) q^{92} +(-1.10248 - 2.11254i) q^{93} +(-11.8927 - 8.09839i) q^{94} +17.3913i q^{95} +(-5.79955 - 7.89717i) q^{96} +(-7.85340 - 4.53417i) q^{97} +(-3.46660 - 9.27269i) q^{98} +(-10.3932 - 0.887791i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

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