LMFDB - Embedded newform 287.2.n.a.64.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(64,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 9]))

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

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

chi := DirichletCharacter("287.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			64.14
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.179096 + 0.551200i) q^{2} +1.26578i q^{3} +(1.34629 - 0.978135i) q^{4} +(-1.88894 + 1.37240i) q^{5} +(-0.697700 + 0.226697i) q^{6} +(0.951057 + 0.309017i) q^{7} +(1.71802 + 1.24822i) q^{8} +1.39779 q^{9} +O(q^{10})$	\(q+(0.179096 + 0.551200i) q^{2} +1.26578i q^{3} +(1.34629 - 0.978135i) q^{4} +(-1.88894 + 1.37240i) q^{5} +(-0.697700 + 0.226697i) q^{6} +(0.951057 + 0.309017i) q^{7} +(1.71802 + 1.24822i) q^{8} +1.39779 q^{9} +(-1.09477 - 0.795395i) q^{10} +(-2.27317 + 3.12875i) q^{11} +(1.23811 + 1.70411i) q^{12} +(-0.0408986 + 0.0132888i) q^{13} +0.579566i q^{14} +(-1.73716 - 2.39099i) q^{15} +(0.648146 - 1.99479i) q^{16} +(-2.64487 + 3.64034i) q^{17} +(0.250339 + 0.770464i) q^{18} +(6.61871 + 2.15055i) q^{19} +(-1.20067 + 3.69528i) q^{20} +(-0.391149 + 1.20383i) q^{21} +(-2.13168 - 0.692626i) q^{22} +(-2.61723 - 8.05499i) q^{23} +(-1.57997 + 2.17464i) q^{24} +(0.139543 - 0.429469i) q^{25} +(-0.0146496 - 0.0201634i) q^{26} +5.56665i q^{27} +(1.58266 - 0.514236i) q^{28} +(-1.91176 - 2.63131i) q^{29} +(1.00680 - 1.38574i) q^{30} +(-5.12627 - 3.72445i) q^{31} +5.46279 q^{32} +(-3.96032 - 2.87734i) q^{33} +(-2.48024 - 0.805880i) q^{34} +(-2.22058 + 0.721511i) q^{35} +(1.88183 - 1.36723i) q^{36} +(6.82347 - 4.95754i) q^{37} +4.03339i q^{38} +(-0.0168207 - 0.0517688i) q^{39} -4.95829 q^{40} +(1.35771 - 6.25753i) q^{41} -0.733605 q^{42} +(1.19778 + 3.68639i) q^{43} +6.43566i q^{44} +(-2.64035 + 1.91833i) q^{45} +(3.97118 - 2.88523i) q^{46} +(4.47173 - 1.45295i) q^{47} +(2.52497 + 0.820412i) q^{48} +(0.809017 + 0.587785i) q^{49} +0.261715 q^{50} +(-4.60789 - 3.34783i) q^{51} +(-0.0420631 + 0.0578949i) q^{52} +(3.58385 + 4.93275i) q^{53} +(-3.06834 + 0.996964i) q^{54} -9.02971i q^{55} +(1.24822 + 1.71802i) q^{56} +(-2.72213 + 8.37785i) q^{57} +(1.10799 - 1.52502i) q^{58} +(-2.07669 - 6.39139i) q^{59} +(-4.67742 - 1.51979i) q^{60} +(0.710261 - 2.18596i) q^{61} +(1.13483 - 3.49264i) q^{62} +(1.32938 + 0.431942i) q^{63} +(-0.317929 - 0.978484i) q^{64} +(0.0590177 - 0.0812309i) q^{65} +(0.876714 - 2.69825i) q^{66} +(-4.87212 - 6.70590i) q^{67} +7.48799i q^{68} +(10.1959 - 3.31284i) q^{69} +(-0.795395 - 1.09477i) q^{70} +(9.18582 - 12.6432i) q^{71} +(2.40144 + 1.74475i) q^{72} -4.71311 q^{73} +(3.95465 + 2.87322i) q^{74} +(0.543615 + 0.176631i) q^{75} +(11.0142 - 3.57874i) q^{76} +(-3.12875 + 2.27317i) q^{77} +(0.0255225 - 0.0185432i) q^{78} -11.3519i q^{79} +(1.51333 + 4.65755i) q^{80} -2.85280 q^{81} +(3.69231 - 0.372328i) q^{82} -2.22267 q^{83} +(0.650911 + 2.00330i) q^{84} -10.5062i q^{85} +(-1.81742 + 1.32044i) q^{86} +(3.33067 - 2.41988i) q^{87} +(-7.81070 + 2.53785i) q^{88} +(-6.37798 - 2.07233i) q^{89} +(-1.53026 - 1.11180i) q^{90} -0.0430034 q^{91} +(-11.4024 - 8.28433i) q^{92} +(4.71435 - 6.48875i) q^{93} +(1.60174 + 2.20460i) q^{94} +(-15.4538 + 5.02123i) q^{95} +6.91471i q^{96} +(-3.92107 - 5.39689i) q^{97} +(-0.179096 + 0.551200i) q^{98} +(-3.17742 + 4.37334i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	0.179096	+	0.551200i	0.126640	+	0.389758i	0.994196	−	0.107581i	$-0.0343106\pi$
$2$	0.179096	+	0.551200i	0.126640	+	0.389758i	−0.867556	+	0.497339i	$0.834311\pi$
$3$			1.26578i			0.730800i	0.930851	+	0.365400i	$0.119068\pi$
$3$			1.26578i			0.730800i	−0.930851	+	0.365400i	$0.880932\pi$
$4$	1.34629	−	0.978135i	0.673144	−	0.489068i
$5$	−1.88894	+	1.37240i	−0.844760	+	0.613754i	−0.923696	−	0.383125i	$-0.874848\pi$
$5$	−1.88894	+	1.37240i	−0.844760	+	0.613754i	0.0789361	+	0.996880i	$0.474848\pi$
$6$	−0.697700	+	0.226697i	−0.284835	+	0.0925485i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	1.71802	+	1.24822i	0.607412	+	0.441311i
$9$	1.39779			0.465931
$10$	−1.09477	−	0.795395i	−0.346196	−	0.251526i
$11$	−2.27317	+	3.12875i	−0.685386	+	0.943353i	−0.999983	−	0.00587232i	$-0.998131\pi$
$11$	−2.27317	+	3.12875i	−0.685386	+	0.943353i	0.314597	+	0.949225i	$0.398131\pi$
$12$	1.23811	+	1.70411i	0.357411	+	0.491934i
$13$	−0.0408986	+	0.0132888i	−0.0113432	+	0.00368564i	−0.314683	−	0.949197i	$-0.601898\pi$
$13$	−0.0408986	+	0.0132888i	−0.0113432	+	0.00368564i	0.303340	+	0.952882i	$0.401898\pi$
$14$			0.579566i			0.154896i
$15$	−1.73716	−	2.39099i	−0.448532	−	0.617351i
$16$	0.648146	−	1.99479i	0.162036	−	0.498697i
$17$	−2.64487	+	3.64034i	−0.641474	+	0.882913i	−0.998693	−	0.0511074i	$-0.983725\pi$
$17$	−2.64487	+	3.64034i	−0.641474	+	0.882913i	0.357219	+	0.934021i	$0.383725\pi$
$18$	0.250339	+	0.770464i	0.0590054	+	0.181600i
$19$	6.61871	+	2.15055i	1.51844	+	0.493370i	0.945331	−	0.326112i	$-0.105739\pi$
$19$	6.61871	+	2.15055i	1.51844	+	0.493370i	0.573105	+	0.819482i	$0.305739\pi$
$20$	−1.20067	+	3.69528i	−0.268478	+	0.826290i
$21$	−0.391149	+	1.20383i	−0.0853556	+	0.262698i
$22$	−2.13168	−	0.692626i	−0.454476	−	0.147668i
$23$	−2.61723	−	8.05499i	−0.545729	−	1.67958i	−0.719250	−	0.694752i	$-0.755514\pi$
$23$	−2.61723	−	8.05499i	−0.545729	−	1.67958i	0.173521	−	0.984830i	$-0.444486\pi$
$24$	−1.57997	+	2.17464i	−0.322510	+	0.443897i
$25$	0.139543	−	0.429469i	0.0279086	−	0.0858938i
$26$	−0.0146496	−	0.0201634i	−0.00287301	−	0.00395436i
$27$			5.56665i			1.07130i
$28$	1.58266	−	0.514236i	0.299094	−	0.0971815i
$29$	−1.91176	−	2.63131i	−0.355005	−	0.488623i	0.593743	−	0.804654i	$-0.297649\pi$
$29$	−1.91176	−	2.63131i	−0.355005	−	0.488623i	−0.948749	+	0.316032i	$0.897649\pi$
$30$	1.00680	−	1.38574i	0.183815	−	0.253000i
$31$	−5.12627	−	3.72445i	−0.920706	−	0.668932i	0.0229939	−	0.999736i	$-0.492680\pi$
$31$	−5.12627	−	3.72445i	−0.920706	−	0.668932i	−0.943700	+	0.330804i	$0.892680\pi$
$32$	5.46279			0.965694
$33$	−3.96032	−	2.87734i	−0.689403	−	0.500880i
$34$	−2.48024	−	0.805880i	−0.425358	−	0.138207i
$35$	−2.22058	+	0.721511i	−0.375347	+	0.121958i
$36$	1.88183	−	1.36723i	0.313638	−	0.227872i
$37$	6.82347	−	4.95754i	1.12177	−	0.815015i	0.137295	−	0.990530i	$-0.456159\pi$
$37$	6.82347	−	4.95754i	1.12177	−	0.815015i	0.984477	+	0.175516i	$0.0561592\pi$
$38$			4.03339i			0.654302i
$39$	−0.0168207	−	0.0517688i	−0.00269347	−	0.00828965i
$40$	−4.95829			−0.783974
$41$	1.35771	−	6.25753i	0.212038	−	0.977261i
$41$	1.35771	−	6.25753i	0.212038	−	0.977261i
$42$	−0.733605			−0.113198
$43$	1.19778	+	3.68639i	0.182660	+	0.562170i	0.999900	−	0.0141275i	$-0.00449707\pi$
$43$	1.19778	+	3.68639i	0.182660	+	0.562170i	−0.817240	+	0.576297i	$0.804497\pi$
$44$			6.43566i			0.970212i
$45$	−2.64035	+	1.91833i	−0.393600	+	0.285967i
$46$	3.97118	−	2.88523i	0.585519	−	0.425404i
$47$	4.47173	−	1.45295i	0.652269	−	0.211935i	0.0358545	−	0.999357i	$-0.488585\pi$
$47$	4.47173	−	1.45295i	0.652269	−	0.211935i	0.616414	+	0.787422i	$0.288585\pi$
$48$	2.52497	+	0.820412i	0.364448	+	0.118416i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	0.261715			0.0370121
$51$	−4.60789	−	3.34783i	−0.645233	−	0.468789i
$52$	−0.0420631	+	0.0578949i	−0.00583310	+	0.00802858i
$53$	3.58385	+	4.93275i	0.492280	+	0.677565i	0.980806	−	0.194984i	$-0.0624654\pi$
$53$	3.58385	+	4.93275i	0.492280	+	0.677565i	−0.488526	+	0.872549i	$0.662465\pi$
$54$	−3.06834	+	0.996964i	−0.417548	+	0.135670i
$55$		−	9.02971i		−	1.21757i
$56$	1.24822	+	1.71802i	0.166800	+	0.229580i
$57$	−2.72213	+	8.37785i	−0.360555	+	1.10967i
$58$	1.10799	−	1.52502i	0.145487	−	0.200245i
$59$	−2.07669	−	6.39139i	−0.270362	−	0.832088i	−0.990409	−	0.138164i	$-0.955880\pi$
$59$	−2.07669	−	6.39139i	−0.270362	−	0.832088i	0.720047	−	0.693925i	$-0.244120\pi$
$60$	−4.67742	−	1.51979i	−0.603853	−	0.196204i
$61$	0.710261	−	2.18596i	0.0909396	−	0.279883i	−0.895235	−	0.445595i	$-0.852992\pi$
$61$	0.710261	−	2.18596i	0.0909396	−	0.279883i	0.986174	+	0.165712i	$0.0529921\pi$
$62$	1.13483	−	3.49264i	0.144123	−	0.443565i
$63$	1.32938	+	0.431942i	0.167486	+	0.0544195i
$64$	−0.317929	−	0.978484i	−0.0397411	−	0.122310i
$65$	0.0590177	−	0.0812309i	0.00732024	−	0.0100754i
$66$	0.876714	−	2.69825i	0.107916	−	0.332131i
$67$	−4.87212	−	6.70590i	−0.595224	−	0.819256i	0.400036	−	0.916499i	$-0.368997\pi$
$67$	−4.87212	−	6.70590i	−0.595224	−	0.819256i	−0.995261	+	0.0972434i	$0.968997\pi$
$68$			7.48799i			0.908052i
$69$	10.1959	−	3.31284i	1.22744	−	0.398819i
$70$	−0.795395	−	1.09477i	−0.0950678	−	0.130850i
$71$	9.18582	−	12.6432i	1.09016	−	1.50047i	0.242333	−	0.970193i	$-0.422088\pi$
$71$	9.18582	−	12.6432i	1.09016	−	1.50047i	0.847824	−	0.530278i	$-0.177912\pi$
$72$	2.40144	+	1.74475i	0.283012	+	0.205620i
$73$	−4.71311			−0.551627			−0.275814	−	0.961211i	$-0.588947\pi$
$73$	−4.71311			−0.551627			−0.275814	+	0.961211i	$0.588947\pi$
$74$	3.95465	+	2.87322i	0.459719	+	0.334005i
$75$	0.543615	+	0.176631i	0.0627712	+	0.0203956i
$76$	11.0142	−	3.57874i	1.26342	−	0.410509i
$77$	−3.12875	+	2.27317i	−0.356554	+	0.259052i
$78$	0.0255225	−	0.0185432i	0.00288985	−	0.00209960i
$79$		−	11.3519i		−	1.27719i	−0.769544	−	0.638593i	$-0.779517\pi$
$79$		−	11.3519i		−	1.27719i	0.769544	−	0.638593i	$-0.220483\pi$
$80$	1.51333	+	4.65755i	0.169195	+	0.520730i
$81$	−2.85280			−0.316977
$82$	3.69231	−	0.372328i	0.407747	−	0.0411168i
$83$	−2.22267			−0.243970			−0.121985	−	0.992532i	$-0.538926\pi$
$83$	−2.22267			−0.243970			−0.121985	+	0.992532i	$0.538926\pi$
$84$	0.650911	+	2.00330i	0.0710203	+	0.218578i
$85$		−	10.5062i		−	1.13956i
$86$	−1.81742	+	1.32044i	−0.195978	+	0.142386i
$87$	3.33067	−	2.41988i	0.357086	−	0.259438i
$88$	−7.81070	+	2.53785i	−0.832624	+	0.270536i
$89$	−6.37798	−	2.07233i	−0.676065	−	0.219667i	−0.0491933	−	0.998789i	$-0.515665\pi$
$89$	−6.37798	−	2.07233i	−0.676065	−	0.219667i	−0.626872	+	0.779122i	$0.715665\pi$
$90$	−1.53026	−	1.11180i	−0.161303	−	0.117194i
$91$	−0.0430034			−0.00450798
$92$	−11.4024	−	8.28433i	−1.18878	−	0.863702i
$93$	4.71435	−	6.48875i	0.488856	−	0.672852i
$94$	1.60174	+	2.20460i	0.165207	+	0.227387i
$95$	−15.4538	+	5.02123i	−1.58552	+	0.515167i
$96$			6.91471i			0.705729i
$97$	−3.92107	−	5.39689i	−0.398124	−	0.547971i	0.562148	−	0.827037i	$-0.309975\pi$
$97$	−3.92107	−	5.39689i	−0.398124	−	0.547971i	−0.960272	+	0.279066i	$0.909975\pi$
$98$	−0.179096	+	0.551200i	−0.0180914	+	0.0556796i
$99$	−3.17742	+	4.37334i	−0.319343	+	0.439537i
$100$	−0.232214	−	0.714681i	−0.0232214	−	0.0714681i
$101$	6.82018	+	2.21601i	0.678633	+	0.220501i	0.627997	−	0.778216i	$-0.283875\pi$
$101$	6.82018	+	2.21601i	0.678633	+	0.220501i	0.0506361	+	0.998717i	$0.483875\pi$
$102$	1.02007	−	3.13945i	0.101002	−	0.310852i
$103$	−5.69016	+	17.5125i	−0.560668	+	1.72556i	0.119815	+	0.992796i	$0.461770\pi$
$103$	−5.69016	+	17.5125i	−0.560668	+	1.72556i	−0.680483	+	0.732763i	$0.738230\pi$
$104$	−0.0868520	−	0.0282199i	−0.00851654	−	0.00276719i
$105$	−0.913277	−	2.81078i	−0.0891267	−	0.274304i
$106$	−2.07708	+	2.85886i	−0.201744	+	0.277677i
$107$	−2.62936	+	8.09234i	−0.254190	+	0.782316i	0.739798	+	0.672829i	$0.234921\pi$
$107$	−2.62936	+	8.09234i	−0.254190	+	0.782316i	−0.993988	+	0.109487i	$0.965079\pi$
$108$	5.44494	+	7.49431i	0.523939	+	0.721141i
$109$			15.1657i			1.45261i	0.687370	+	0.726307i	$0.258765\pi$
$109$			15.1657i			1.45261i	−0.687370	+	0.726307i	$0.741235\pi$
$110$	4.97718	−	1.61718i	0.474555	−	0.154192i
$111$	6.27517	+	8.63703i	0.595613	+	0.819791i
$112$	1.23285	−	1.69687i	0.116493	−	0.160339i
$113$	9.44173	+	6.85982i	0.888203	+	0.645317i	0.935409	−	0.353568i	$-0.115032\pi$
$113$	9.44173	+	6.85982i	0.888203	+	0.645317i	−0.0472059	+	0.998885i	$0.515032\pi$
$114$	−5.10540			−0.478164
$115$	15.9984	+	11.6235i	1.49186	+	1.08390i
$116$	−5.14756	−	1.67254i	−0.477939	−	0.155292i
$117$	−0.0571678	+	0.0185750i	−0.00528517	+	0.00171726i
$118$	3.15101	−	2.28934i	0.290074	−	0.210751i
$119$	−3.64034	+	2.64487i	−0.333710	+	0.242454i
$120$		−	6.27612i		−	0.572928i
$121$	−1.22258	−	3.76272i	−0.111144	−	0.342066i
$122$	1.33211			0.120603
$123$	7.92067	+	1.71856i	0.714183	+	0.154958i
$124$	−10.5445			−0.946920
$125$	−3.28174	−	10.1002i	−0.293528	−	0.903386i
$126$			0.810114i			0.0721707i
$127$	−15.6359	+	11.3602i	−1.38746	+	1.00805i	−0.391326	+	0.920252i	$0.627984\pi$
$127$	−15.6359	+	11.3602i	−1.38746	+	1.00805i	−0.996138	+	0.0877997i	$0.972016\pi$
$128$	9.32138	−	6.77238i	0.823901	−	0.598599i
$129$	−4.66617	+	1.51613i	−0.410834	+	0.133488i
$130$	0.0553443	+	0.0179825i	0.00485402	+	0.00157717i
$131$	−5.66817	−	4.11817i	−0.495230	−	0.359806i	0.311962	−	0.950095i	$-0.399014\pi$
$131$	−5.66817	−	4.11817i	−0.495230	−	0.359806i	−0.807192	+	0.590289i	$0.799014\pi$
$132$	−8.14615			−0.709031
$133$	5.63021	+	4.09059i	0.488201	+	0.354699i
$134$	2.82372	−	3.88651i	0.243932	−	0.335744i
$135$	−7.63965	−	10.5151i	−0.657517	−	0.904994i
$136$	−9.08787	+	2.95283i	−0.779278	+	0.253203i
$137$			11.4387i			0.977276i	0.872487	+	0.488638i	$0.162506\pi$
$137$			11.4387i			0.977276i	−0.872487	+	0.488638i	$0.837494\pi$
$138$	3.65208	+	5.02665i	0.310885	+	0.427897i
$139$	5.12981	−	15.7879i	0.435105	−	1.33912i	−0.457874	−	0.889017i	$-0.651389\pi$
$139$	5.12981	−	15.7879i	0.435105	−	1.33912i	0.892979	−	0.450099i	$-0.148611\pi$
$140$	−2.28381	+	3.14339i	−0.193017	+	0.265665i
$141$	1.83912	+	5.66024i	0.154882	+	0.476678i
$142$	8.61408	+	2.79888i	0.722877	+	0.234877i
$143$	0.0513923	−	0.158169i	0.00429764	−	0.0132268i
$144$	0.905974	−	2.78830i	0.0754978	−	0.232358i
$145$	7.22241	+	2.34670i	0.599789	+	0.194883i
$146$	−0.844098	−	2.59787i	−0.0698580	−	0.215001i
$147$	−0.744009	+	1.02404i	−0.0613648	+	0.0844614i
$148$	4.33721	−	13.3485i	0.356516	−	1.09724i
$149$	0.409686	+	0.563885i	0.0335628	+	0.0461952i	0.825469	−	0.564448i	$-0.190911\pi$
$149$	0.409686	+	0.563885i	0.0335628	+	0.0461952i	−0.791906	+	0.610643i	$0.790911\pi$
$150$			0.331275i			0.0270485i
$151$	−8.13208	+	2.64227i	−0.661779	+	0.215025i	−0.620601	−	0.784127i	$-0.713111\pi$
$151$	−8.13208	+	2.64227i	−0.661779	+	0.215025i	−0.0411785	+	0.999152i	$0.513111\pi$
$152$	8.68674	+	11.9563i	0.704587	+	0.969781i
$153$	−3.69697	+	5.08845i	−0.298883	+	0.411377i
$154$	−1.81332	−	1.31745i	−0.146121	−	0.106163i
$155$	14.7947			1.18834
$156$	−0.0732824	−	0.0532428i	−0.00586729	−	0.00426283i
$157$	12.0225	+	3.90635i	0.959500	+	0.311760i	0.746570	−	0.665307i	$-0.231699\pi$
$157$	12.0225	+	3.90635i	0.959500	+	0.311760i	0.212930	+	0.977067i	$0.431699\pi$
$158$	6.25716	−	2.03308i	0.497793	−	0.161743i
$159$	−6.24379	+	4.53638i	−0.495165	+	0.359758i
$160$	−10.3189	+	7.49711i	−0.815780	+	0.592699i
$161$		−	8.46952i		−	0.667492i
$162$	−0.510924	−	1.57246i	−0.0401420	−	0.123544i
$163$	−9.72940			−0.762066			−0.381033	−	0.924562i	$-0.624432\pi$
$163$	−9.72940			−0.762066			−0.381033	+	0.924562i	$0.624432\pi$
$164$	−4.29284	−	9.75245i	−0.335215	−	0.761538i
$165$	11.4297			0.889798
$166$	−0.398071	−	1.22514i	−0.0308963	−	0.0950891i
$167$			14.4963i			1.12176i	0.827898	+	0.560878i	$0.189536\pi$
$167$			14.4963i			1.12176i	−0.827898	+	0.560878i	$0.810464\pi$
$168$	−2.17464	+	1.57997i	−0.167777	+	0.121897i
$169$	−10.5157	+	7.64012i	−0.808902	+	0.587702i
$170$	5.79102	−	1.88162i	0.444151	−	0.144313i
$171$	9.25159	+	3.00602i	0.707486	+	0.229876i
$172$	5.21835	+	3.79135i	0.397895	+	0.289088i
$173$	1.70317			0.129490			0.0647448	−	0.997902i	$-0.479377\pi$
$173$	1.70317			0.129490			0.0647448	+	0.997902i	$0.479377\pi$
$174$	1.93035	+	1.40248i	0.146339	+	0.106322i
$175$	0.265427	−	0.365328i	0.0200644	−	0.0276162i
$176$	4.76784	+	6.56237i	0.359390	+	0.494658i
$177$	8.09012	−	2.62864i	0.608090	−	0.197581i
$178$		−	3.88669i		−	0.291320i
$179$	−12.7888	−	17.6023i	−0.955883	−	1.31566i	−0.948864	−	0.315685i	$-0.897766\pi$
$179$	−12.7888	−	17.6023i	−0.955883	−	1.31566i	−0.00701905	−	0.999975i	$-0.502234\pi$
$180$	−1.67829	+	5.16524i	−0.125092	+	0.384994i
$181$	−1.91143	+	2.63086i	−0.142076	+	0.195550i	−0.874125	−	0.485702i	$-0.838564\pi$
$181$	−1.91143	+	2.63086i	−0.142076	+	0.195550i	0.732049	+	0.681252i	$0.238564\pi$
$182$	−0.00770173	−	0.0237035i	−0.000570890	−	0.00175702i
$183$	2.76695	+	0.899036i	0.204539	+	0.0664587i
$184$	5.55792	−	17.1055i	0.409735	−	1.26103i
$185$	−6.08542	+	18.7290i	−0.447409	+	1.37698i
$186$	4.42092	+	1.43644i	0.324158	+	0.105325i
$187$	−5.37750	−	16.5502i	−0.393242	−	1.21027i
$188$	4.59905	−	6.33005i	0.335420	−	0.461666i
$189$	−1.72019	+	5.29420i	−0.125125	+	0.385096i
$190$	−5.53541	−	7.61884i	−0.401581	−	0.552729i
$191$			11.2142i			0.811428i	0.914000	+	0.405714i	$0.132977\pi$
$191$			11.2142i			0.811428i	−0.914000	+	0.405714i	$0.867023\pi$
$192$	1.23855	−	0.402429i	0.0893845	−	0.0290428i
$193$	3.23100	+	4.44709i	0.232573	+	0.320109i	0.909313	−	0.416113i	$-0.136608\pi$
$193$	3.23100	+	4.44709i	0.232573	+	0.320109i	−0.676740	+	0.736222i	$0.736608\pi$
$194$	2.27252	−	3.12786i	0.163157	−	0.224567i
$195$	0.102821	+	0.0747036i	0.00736314	+	0.00534963i
$196$	1.66410			0.118864
$197$	13.8485	+	10.0615i	0.986665	+	0.716854i	0.959188	−	0.282768i	$-0.0912527\pi$
$197$	13.8485	+	10.0615i	0.986665	+	0.716854i	0.0274770	+	0.999622i	$0.491253\pi$
$198$	−2.97965	−	0.968147i	−0.211755	−	0.0688032i
$199$	−13.9678	+	4.53840i	−0.990149	+	0.321719i	−0.758923	−	0.651181i	$-0.774274\pi$
$199$	−13.9678	+	4.53840i	−0.990149	+	0.321719i	−0.231227	+	0.972900i	$0.574274\pi$
$200$	0.775808	−	0.563657i	0.0548579	−	0.0398566i
$201$	8.48821	−	6.16705i	0.598712	−	0.434990i
$202$			4.15616i			0.292426i
$203$	−1.00507	−	3.09330i	−0.0705423	−	0.217107i
$204$	−9.47817			−0.663604
$205$	6.02318	+	13.6834i	0.420677	+	0.955691i
$206$	−10.6720			−0.743553
$207$	−3.65834	−	11.2592i	−0.254272	−	0.782569i
$208$			0.0901972i			0.00625405i
$209$	−21.7740	+	15.8197i	−1.50614	+	1.09427i
$210$	1.38574	−	1.00680i	0.0956250	−	0.0694756i
$211$	−2.42747	+	0.788733i	−0.167114	+	0.0542986i	−0.391379	−	0.920230i	$-0.628002\pi$
$211$	−2.42747	+	0.788733i	−0.167114	+	0.0542986i	0.224265	+	0.974528i	$0.428002\pi$
$212$	9.64979	+	3.13541i	0.662751	+	0.215341i
$213$	16.0035	+	11.6273i	1.09654	+	0.796687i
$214$	−4.93141			−0.337104
$215$	−7.32173	−	5.31955i	−0.499338	−	0.362790i
$216$	−6.94838	+	9.56363i	−0.472777	+	0.650722i
$217$	−3.72445	−	5.12627i	−0.252832	−	0.347994i
$218$	−8.35936	+	2.71612i	−0.566167	+	0.183959i
$219$		−	5.96577i		−	0.403129i
$220$	−8.83228	−	12.1566i	−0.595472	−	0.819597i
$221$	0.0597957	−	0.184032i	0.00402229	−	0.0123793i
$222$	−3.63688	+	5.00573i	−0.244091	+	0.335963i
$223$	−5.83462	−	17.9571i	−0.390715	−	1.20250i	−0.932249	−	0.361818i	$-0.882156\pi$
$223$	−5.83462	−	17.9571i	−0.390715	−	1.20250i	0.541534	−	0.840679i	$-0.317844\pi$
$224$	5.19542	+	1.68809i	0.347134	+	0.112791i
$225$	0.195052	−	0.600309i	0.0130035	−	0.0400206i
$226$	−2.09016	+	6.43285i	−0.139035	+	0.427907i
$227$	−18.8936	−	6.13889i	−1.25401	−	0.407453i	−0.394654	−	0.918830i	$-0.629136\pi$
$227$	−18.8936	−	6.13889i	−1.25401	−	0.407453i	−0.859356	+	0.511377i	$0.829136\pi$
$228$	4.52990	+	13.9416i	0.300000	+	0.923306i
$229$	14.4766	−	19.9253i	0.956642	−	1.31670i	0.00812822	−	0.999967i	$-0.497413\pi$
$229$	14.4766	−	19.9253i	0.956642	−	1.31670i	0.948513	−	0.316737i	$-0.102587\pi$
$230$	−3.54165	+	10.9001i	−0.233529	+	0.718729i
$231$	−2.87734	−	3.96032i	−0.189315	−	0.260570i
$232$		−	6.90694i		−	0.453463i
$233$	8.69280	−	2.82446i	0.569484	−	0.185037i	−0.0101001	−	0.999949i	$-0.503215\pi$
$233$	8.69280	−	2.82446i	0.569484	−	0.185037i	0.579584	+	0.814912i	$0.303215\pi$
$234$	−0.0204770	−	0.0281842i	−0.00133863	−	0.00184246i
$235$	−6.45281	+	8.88153i	−0.420935	+	0.579367i
$236$	−9.04747	−	6.57337i	−0.588940	−	0.427890i
$237$	14.3690			0.933368
$238$	−2.10982	−	1.53287i	−0.136759	−	0.0993615i
$239$	0.364995	+	0.118594i	0.0236095	+	0.00767120i	0.320798	−	0.947148i	$-0.396049\pi$
$239$	0.364995	+	0.118594i	0.0236095	+	0.00767120i	−0.297188	+	0.954819i	$0.596049\pi$
$240$	−5.89545	+	1.91555i	−0.380550	+	0.123648i
$241$	15.4591	−	11.2317i	0.995807	−	0.723496i	0.0346219	−	0.999400i	$-0.488977\pi$
$241$	15.4591	−	11.2317i	0.995807	−	0.723496i	0.961185	+	0.275904i	$0.0889773\pi$
$242$	1.85506	−	1.34778i	0.119248	−	0.0866384i
$243$			13.0889i			0.839656i
$244$	−1.18195	−	3.63766i	−0.0756664	−	0.232877i
$245$	−2.33486			−0.149169
$246$	0.471287	+	4.67366i	0.0300482	+	0.297982i
$247$	−0.299274			−0.0190424
$248$	−4.15812	−	12.7974i	−0.264041	−	0.812635i
$249$		−	2.81342i		−	0.178293i
$250$	4.97947	−	3.61780i	0.314929	−	0.228810i
$251$	−1.42507	+	1.03538i	−0.0899499	+	0.0653524i	−0.631851	−	0.775090i	$-0.717705\pi$
$251$	−1.42507	+	1.03538i	−0.0899499	+	0.0653524i	0.541901	+	0.840442i	$0.317705\pi$
$252$	2.21222	−	0.718795i	0.139357	−	0.0452799i
$253$	31.1514	+	10.1217i	1.95847	+	0.636347i
$254$	−9.06206	−	6.58397i	−0.568604	−	0.413115i
$255$	13.2986			0.832789
$256$	3.73766	+	2.71557i	0.233604	+	0.169723i
$257$	5.23785	−	7.20929i	0.326728	−	0.449703i	−0.613778	−	0.789479i	$-0.710351\pi$
$257$	5.23785	−	7.20929i	0.326728	−	0.449703i	0.940507	+	0.339775i	$0.110351\pi$
$258$	−1.67139	−	2.30046i	−0.104056	−	0.143221i
$259$	8.02147	−	2.60633i	0.498430	−	0.161950i
$260$		−	0.167087i		−	0.0103623i
$261$	−2.67225	−	3.67803i	−0.165408	−	0.227665i
$262$	1.25479	−	3.86184i	0.0775211	−	0.238585i
$263$	5.49331	−	7.56089i	0.338732	−	0.466225i	−0.605339	−	0.795968i	$-0.706962\pi$
$263$	5.49331	−	7.56089i	0.338732	−	0.466225i	0.944071	+	0.329744i	$0.106962\pi$
$264$	−3.21237	−	9.88666i	−0.197708	−	0.608482i
$265$	−13.5394	−	4.39921i	−0.831717	−	0.270241i
$266$	−1.24639	+	3.83598i	−0.0764208	+	0.235199i
$267$	2.62312	−	8.07315i	0.160533	−	0.494069i
$268$	−13.1185	−	4.26247i	−0.801343	−	0.260372i
$269$	4.10126	+	12.6224i	0.250058	+	0.769599i	0.994763	+	0.102206i	$0.0325901\pi$
$269$	4.10126	+	12.6224i	0.250058	+	0.769599i	−0.744705	+	0.667394i	$0.767410\pi$
$270$	4.42769	−	6.09419i	0.269460	−	0.370880i
$271$	0.959404	−	2.95274i	0.0582797	−	0.179366i	−0.917679	−	0.397323i	$-0.869939\pi$
$271$	0.959404	−	2.95274i	0.0582797	−	0.179366i	0.975958	+	0.217957i	$0.0699392\pi$
$272$	5.54746	+	7.63542i	0.336364	+	0.462965i
$273$		−	0.0544330i		−	0.00329443i
$274$	−6.30503	+	2.04863i	−0.380901	+	0.123762i
$275$	1.02650	+	1.41285i	0.0619001	+	0.0851981i
$276$	10.4862	−	14.4330i	0.631193	−	0.868763i
$277$	−9.50922	−	6.90886i	−0.571354	−	0.415113i	0.264243	−	0.964456i	$-0.414878\pi$
$277$	−9.50922	−	6.90886i	−0.571354	−	0.415113i	−0.835597	+	0.549343i	$0.814878\pi$
$278$	9.62105			0.577032
$279$	−7.16547	−	5.20602i	−0.428985	−	0.311676i
$280$	−4.71561	−	1.53219i	−0.281812	−	0.0915662i
$281$	15.9508	−	5.18274i	0.951547	−	0.309177i	0.208203	−	0.978086i	$-0.433238\pi$
$281$	15.9508	−	5.18274i	0.951547	−	0.309177i	0.743344	+	0.668909i	$0.233238\pi$
$282$	−2.79055	+	2.02745i	−0.166175	+	0.120733i
$283$	−1.08949	+	0.791559i	−0.0647633	+	0.0470533i	−0.619696	−	0.784842i	$-0.712744\pi$
$283$	−1.08949	+	0.791559i	−0.0647633	+	0.0470533i	0.554933	+	0.831895i	$0.312744\pi$
$284$		−	26.0063i		−	1.54319i
$285$	−6.35579	−	19.5611i	−0.376485	−	1.15870i
$286$	0.0963871			0.00569949
$287$	3.22494	−	5.53171i	0.190362	−	0.326526i
$288$	7.63585			0.449947
$289$	−1.00351	−	3.08848i	−0.0590299	−	0.181675i
$290$			4.40128i			0.258452i
$291$	6.83129	−	4.96322i	0.400457	−	0.290949i
$292$	−6.34520	+	4.61006i	−0.371325	+	0.269783i
$293$	16.0011	−	5.19907i	0.934793	−	0.303733i	0.198272	−	0.980147i	$-0.436467\pi$
$293$	16.0011	−	5.19907i	0.934793	−	0.303733i	0.736521	+	0.676414i	$0.236467\pi$
$294$	−0.697700	−	0.226697i	−0.0406907	−	0.0132212i
$295$	12.6943	+	9.22292i	0.739089	+	0.536979i
$296$	17.9109			1.04105
$297$	−17.4167	−	12.6539i	−1.01062	−	0.734256i
$298$	−0.237440	+	0.326809i	−0.0137545	+	0.0189315i
$299$	0.214082	+	0.294659i	0.0123807	+	0.0170405i
$300$	0.904631	−	0.293932i	0.0522289	−	0.0169702i
$301$			3.87610i			0.223415i
$302$	−2.91284	−	4.00919i	−0.167615	−	0.230703i
$303$	−2.80499	+	8.63286i	−0.161142	+	0.495945i
$304$	8.57978	−	11.8091i	0.492084	−	0.677296i
$305$	1.65836	+	5.10391i	0.0949574	+	0.292249i
$306$	−3.46687	−	1.12645i	−0.198188	−	0.0643950i
$307$	6.86913	−	21.1410i	0.392042	−	1.20658i	−0.539199	−	0.842178i	$-0.681273\pi$
$307$	6.86913	−	21.1410i	0.392042	−	1.20658i	0.931241	−	0.364403i	$-0.118727\pi$
$308$	−1.98873	+	6.12068i	−0.113318	+	0.348758i
$309$	−22.1671	−	7.20251i	−1.26104	−	0.409737i
$310$	2.64966	+	8.15482i	0.150491	+	0.463163i
$311$	−6.84644	+	9.42332i	−0.388226	+	0.534347i	−0.957740	−	0.287634i	$-0.907131\pi$
$311$	−6.84644	+	9.42332i	−0.388226	+	0.534347i	0.569514	+	0.821981i	$0.307131\pi$
$312$	0.0357203	−	0.109936i	0.00202226	−	0.00622389i
$313$	5.08841	+	7.00360i	0.287614	+	0.395867i	0.928237	−	0.371989i	$-0.121324\pi$
$313$	5.08841	+	7.00360i	0.287614	+	0.395867i	−0.640623	+	0.767855i	$0.721324\pi$
$314$			7.32642i			0.413454i
$315$	−3.10392	+	1.00852i	−0.174886	+	0.0568239i
$316$	−11.1037	−	15.2829i	−0.624631	−	0.859730i
$317$	−10.4965	+	14.4472i	−0.589542	+	0.811434i	−0.994701	−	0.102812i	$-0.967216\pi$
$317$	−10.4965	+	14.4472i	−0.589542	+	0.811434i	0.405159	+	0.914246i	$0.367216\pi$
$318$	−3.61869	−	2.62913i	−0.202926	−	0.147435i
$319$	12.5785			0.704260
$320$	1.94342	+	1.41197i	0.108640	+	0.0789318i
$321$	−10.2431	−	3.32820i	−0.571717	−	0.185762i
$322$	4.66840	−	1.51686i	0.260160	−	0.0845311i
$323$	−25.3343	+	18.4065i	−1.40964	+	1.02416i
$324$	−3.84068	+	2.79042i	−0.213371	+	0.155023i
$325$			0.0194191i			0.00107718i
$326$	−1.74250	−	5.36285i	−0.0965079	−	0.297021i
$327$	−19.1965			−1.06157
$328$	10.1433	−	9.05585i	0.560071	−	0.500026i
$329$	4.70185			0.259222
$330$	2.04700	+	6.30003i	0.112684	+	0.346805i
$331$			12.8834i			0.708138i	0.935219	+	0.354069i	$0.115202\pi$
$331$			12.8834i			0.708138i	−0.935219	+	0.354069i	$0.884798\pi$
$332$	−2.99235	+	2.17407i	−0.164227	+	0.119318i
$333$	9.53780	−	6.92961i	0.522668	−	0.379741i
$334$	−7.99036	+	2.59622i	−0.437213	+	0.142059i
$335$	18.4063	+	5.98057i	1.00564	+	0.326753i
$336$	2.14787	+	1.56052i	0.117176	+	0.0851332i
$337$	−15.0316			−0.818825			−0.409413	−	0.912349i	$-0.634266\pi$
$337$	−15.0316			−0.818825			−0.409413	+	0.912349i	$0.634266\pi$
$338$	−6.09456	−	4.42796i	−0.331500	−	0.240849i
$339$	−8.68304	+	11.9512i	−0.471598	+	0.649099i
$340$	−10.2765	−	14.1444i	−0.557321	−	0.767086i
$341$	23.3058	−	7.57250i	1.26208	−	0.410074i
$342$			5.63784i			0.304860i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	−2.54360	+	7.82839i	−0.137142	+	0.422079i
$345$	−14.7129	+	20.2505i	−0.792115	+	1.09025i
$346$	0.305031	+	0.938788i	0.0163986	+	0.0504696i
$347$	7.02683	+	2.28316i	0.377220	+	0.122566i	0.491489	−	0.870884i	$-0.336453\pi$
$347$	7.02683	+	2.28316i	0.377220	+	0.122566i	−0.114269	+	0.993450i	$0.536453\pi$
$348$	2.11708	−	6.51570i	0.113487	−	0.349278i
$349$	−6.61949	+	20.3727i	−0.354333	+	1.09053i	0.602062	+	0.798449i	$0.294346\pi$
$349$	−6.61949	+	20.3727i	−0.354333	+	1.09053i	−0.956395	+	0.292076i	$0.905654\pi$
$350$	0.248906	+	0.0808744i	0.0133046	+	0.00432292i
$351$	−0.0739740	−	0.227669i	−0.00394844	−	0.0121520i
$352$	−12.4178	+	17.0917i	−0.661873	+	0.910990i
$353$	−0.574565	+	1.76833i	−0.0305810	+	0.0941186i	−0.965182	−	0.261579i	$-0.915757\pi$
$353$	−0.574565	+	1.76833i	−0.0305810	+	0.0941186i	0.934601	+	0.355698i	$0.115757\pi$
$354$	2.89781	+	3.98850i	0.154017	+	0.211986i
$355$			36.4888i			1.93663i
$356$	−10.6136	+	3.44858i	−0.562521	+	0.182774i
$357$	−3.34783	−	4.60789i	−0.177186	−	0.243875i
$358$	7.41198	−	10.2017i	0.391736	−	0.539178i
$359$	−21.3880	−	15.5393i	−1.12882	−	0.820133i	−0.143294	−	0.989680i	$-0.545770\pi$
$359$	−21.3880	−	15.5393i	−1.12882	−	0.820133i	−0.985522	+	0.169547i	$0.945770\pi$
$360$	−6.93066			−0.365278
$361$	23.8111	+	17.2998i	1.25322	+	0.910516i
$362$	−1.79246	−	0.582406i	−0.0942097	−	0.0306106i
$363$	4.76279	−	1.54753i	0.249982	−	0.0812240i
$364$	−0.0578949	+	0.0420631i	−0.00303452	+	0.00220471i
$365$	8.90278	−	6.46825i	0.465993	−	0.338564i
$366$			1.68616i			0.0881368i
$367$	−6.61503	−	20.3590i	−0.345302	−	1.06273i	−0.961422	−	0.275078i	$-0.911296\pi$
$367$	−6.61503	−	20.3590i	−0.345302	−	1.06273i	0.616120	−	0.787652i	$-0.288704\pi$
$368$	−17.7643			−0.926030
$369$	1.89779	−	8.74673i	0.0987952	−	0.455336i
$370$	−11.4133			−0.593350
$371$	1.88414	+	5.79880i	0.0978198	+	0.301059i
$372$		−	13.3470i		−	0.692010i
$373$	12.0225	−	8.73486i	0.622501	−	0.452274i	−0.231293	−	0.972884i	$-0.574296\pi$
$373$	12.0225	−	8.73486i	0.622501	−	0.452274i	0.853794	+	0.520610i	$0.174296\pi$
$374$	8.15941	−	5.92816i	0.421913	−	0.306538i
$375$	12.7846	−	4.15398i	0.660195	−	0.214510i
$376$	9.49612	+	3.08548i	0.489725	+	0.159121i
$377$	0.113155	+	0.0822122i	0.00582780	+	0.00423415i
$378$	−3.22624			−0.165940
$379$	22.0211	+	15.9993i	1.13115	+	0.821826i	0.985861	−	0.167563i	$-0.0535899\pi$
$379$	22.0211	+	15.9993i	1.13115	+	0.821826i	0.145286	+	0.989390i	$0.453590\pi$
$380$	−15.8938	+	21.8759i	−0.815333	+	1.12221i
$381$	−14.3795	−	19.7917i	−0.736685	−	1.01396i
$382$	−6.18125	+	2.00841i	−0.316260	+	0.102759i
$383$		−	27.4021i		−	1.40018i	−0.714054	−	0.700091i	$-0.753143\pi$
$383$		−	27.4021i		−	1.40018i	0.714054	−	0.700091i	$-0.246857\pi$
$384$	8.57236	+	11.7988i	0.437457	+	0.602107i
$385$	2.79033	−	8.58776i	0.142209	−	0.437673i
$386$	−1.87258	+	2.57738i	−0.0953118	+	0.131185i
$387$	1.67425	+	5.15281i	0.0851070	+	0.261932i
$388$	−10.5578	−	3.43043i	−0.535990	−	0.174154i
$389$	−2.64641	+	8.14480i	−0.134178	+	0.412958i	−0.995461	−	0.0951676i	$-0.969661\pi$
$389$	−2.64641	+	8.14480i	−0.134178	+	0.412958i	0.861283	+	0.508125i	$0.169661\pi$
$390$	−0.0227619	+	0.0700539i	−0.00115259	+	0.00354732i
$391$	36.2452	+	11.7768i	1.83300	+	0.595577i
$392$	0.656226	+	2.01965i	0.0331444	+	0.102008i
$393$	5.21271	−	7.17467i	0.262946	−	0.361914i
$394$	−3.06571	+	9.43528i	−0.154448	+	0.475343i
$395$	15.5793	+	21.4430i	0.783879	+	1.07892i
$396$			8.99572i			0.452052i
$397$	−27.5800	+	8.96127i	−1.38420	+	0.449753i	−0.904047	−	0.427433i	$-0.859418\pi$
$397$	−27.5800	+	8.96127i	−1.38420	+	0.449753i	−0.480151	+	0.877186i	$0.659418\pi$
$398$	−5.00314	−	6.88623i	−0.250785	−	0.345176i
$399$	−5.17780	+	7.12663i	−0.259214	+	0.356778i
$400$	−0.766256	−	0.556717i	−0.0383128	−	0.0278359i
$401$	−3.82288			−0.190905			−0.0954526	−	0.995434i	$-0.530430\pi$
$401$	−3.82288			−0.190905			−0.0954526	+	0.995434i	$0.530430\pi$
$402$	4.91948	+	3.57421i	0.245362	+	0.178266i
$403$	0.259151	+	0.0842033i	0.0129092	+	0.00419446i
$404$	11.3495	−	3.68767i	0.564657	−	0.183468i
$405$	5.38877	−	3.91517i	0.267770	−	0.194546i
$406$	1.52502	−	1.10799i	0.0756855	−	0.0549888i
$407$			32.6182i			1.61683i
$408$	−3.73764	−	11.5033i	−0.185041	−	0.569497i
$409$	−20.9294			−1.03489			−0.517446	−	0.855716i	$-0.673117\pi$
$409$	−20.9294			−1.03489			−0.517446	+	0.855716i	$0.673117\pi$
$410$	−6.46358	+	5.77062i	−0.319213	+	0.284991i
$411$	−14.4789			−0.714194
$412$	9.46901	+	29.1426i	0.466505	+	1.43575i
$413$		−	6.72031i		−	0.330685i
$414$	5.55089	−	4.03296i	0.272811	−	0.198209i
$415$	4.19850	−	3.05039i	0.206096	−	0.149738i
$416$	−0.223421	+	0.0725938i	−0.0109541	+	0.00355920i
$417$	19.9841	+	6.49323i	0.978626	+	0.317975i
$418$	−12.6195	−	9.16858i	−0.617238	−	0.448450i
$419$	−31.0710			−1.51792			−0.758959	−	0.651139i	$-0.774292\pi$
$419$	−31.0710			−1.51792			−0.758959	+	0.651139i	$0.774292\pi$
$420$	−3.97885	−	2.89081i	−0.194148	−	0.141057i
$421$	−2.57446	+	3.54344i	−0.125471	+	0.172696i	−0.867131	−	0.498079i	$-0.834039\pi$
$421$	−2.57446	+	3.54344i	−0.125471	+	0.172696i	0.741660	+	0.670776i	$0.234039\pi$
$422$	−0.869500	−	1.19676i	−0.0423266	−	0.0582575i
$423$	6.25055	−	2.03093i	0.303912	−	0.0987471i
$424$			12.9480i			0.628810i
$425$	1.19434	+	1.64387i	0.0579342	+	0.0797395i
$426$	−3.54278	+	10.9036i	−0.171648	+	0.528279i
$427$	1.35100	−	1.85949i	0.0653793	−	0.0899869i
$428$	4.37553	+	13.4665i	0.211499	+	0.650927i
$429$	0.200208	+	0.0650515i	0.00966613	+	0.00314072i
$430$	1.62085	−	4.98845i	0.0781641	−	0.240564i
$431$	5.08287	−	15.6435i	0.244833	−	0.753520i	−0.750830	−	0.660495i	$-0.770346\pi$
$431$	5.08287	−	15.6435i	0.244833	−	0.753520i	0.995664	−	0.0930246i	$-0.0296535\pi$
$432$	11.1043	+	3.60800i	0.534255	+	0.173590i
$433$	−1.20439	−	3.70672i	−0.0578791	−	0.178133i	0.917937	−	0.396726i	$-0.129854\pi$
$433$	−1.20439	−	3.70672i	−0.0578791	−	0.178133i	−0.975816	+	0.218592i	$0.929854\pi$
$434$	2.15857	−	2.97102i	0.103615	−	0.142613i
$435$	−2.97042	+	9.14201i	−0.142421	+	0.438326i
$436$	14.8341	+	20.4174i	0.710427	+	0.977818i
$437$		−	58.9421i		−	2.81958i
$438$	3.28834	−	1.06844i	0.157123	−	0.0510523i
$439$	6.40699	+	8.81847i	0.305789	+	0.420882i	0.934062	−	0.357110i	$-0.116238\pi$
$439$	6.40699	+	8.81847i	0.305789	+	0.420882i	−0.628273	+	0.777993i	$0.716238\pi$
$440$	11.2710	−	15.5132i	0.537325	−	0.739564i
$441$	1.13084	+	0.821602i	0.0538494	+	0.0391239i
$442$	0.112148			0.00533433
$443$	16.9260	+	12.2974i	0.804178	+	0.584269i	0.912137	−	0.409886i	$-0.134432\pi$
$443$	16.9260	+	12.2974i	0.804178	+	0.584269i	−0.107959	+	0.994155i	$0.534432\pi$
$444$	16.8964	+	5.48996i	0.801866	+	0.260542i
$445$	14.8917	−	4.83861i	0.705934	−	0.229372i
$446$	8.85301	−	6.43209i	0.419202	−	0.304568i
$447$	−0.713756	+	0.518574i	−0.0337595	+	0.0245277i
$448$		−	1.02884i		−	0.0486081i
$449$	−6.71993	−	20.6818i	−0.317133	−	0.976036i	−0.974867	−	0.222786i	$-0.928485\pi$
$449$	−6.71993	−	20.6818i	−0.317133	−	0.976036i	0.657734	−	0.753250i	$-0.271515\pi$
$450$	0.365824			0.0172451
$451$	16.4919	+	18.4723i	0.776575	+	0.869828i
$452$	19.4211			0.913492
$453$	−3.34455	−	10.2935i	−0.157140	−	0.483629i
$454$		−	11.5136i		−	0.540360i
$455$	0.0812309	−	0.0590177i	0.00380816	−	0.00276679i
$456$	−15.1340	+	10.9955i	−0.708716	+	0.514913i
$457$	−23.3534	+	7.58797i	−1.09242	+	0.354950i	−0.799183	−	0.601088i	$-0.794734\pi$
$457$	−23.3534	+	7.58797i	−1.09242	+	0.354950i	−0.293242	+	0.956038i	$0.594734\pi$
$458$	13.5756	+	4.41097i	0.634344	+	0.206111i
$459$	−20.2645	−	14.7230i	−0.945867	−	0.687213i
$460$	32.9079			1.53434
$461$	19.5413	+	14.1976i	0.910129	+	0.661247i	0.941047	−	0.338275i	$-0.109843\pi$
$461$	19.5413	+	14.1976i	0.910129	+	0.661247i	−0.0309186	+	0.999522i	$0.509843\pi$
$462$	1.66761	−	2.29527i	0.0775842	−	0.106785i
$463$	11.1825	+	15.3914i	0.519695	+	0.715299i	0.985516	−	0.169580i	$-0.0542410\pi$
$463$	11.1825	+	15.3914i	0.519695	+	0.715299i	−0.465821	+	0.884879i	$0.654241\pi$
$464$	−6.48801	+	2.10808i	−0.301199	+	0.0978653i
$465$			18.7268i			0.868436i
$466$	3.11369	+	4.28562i	0.144239	+	0.198528i
$467$	−1.17648	+	3.62084i	−0.0544411	+	0.167553i	−0.974580	−	0.224039i	$-0.928076\pi$
$467$	−1.17648	+	3.62084i	−0.0544411	+	0.167553i	0.920139	+	0.391592i	$0.128076\pi$
$468$	−0.0587955	+	0.0809251i	−0.00271782	+	0.00374076i
$469$	−2.56143	−	7.88326i	−0.118276	−	0.364015i
$470$	−6.05117	−	1.96615i	−0.279120	−	0.0906915i
$471$	−4.94459	+	15.2179i	−0.227835	+	0.701203i
$472$	4.41004	−	13.5727i	0.202988	−	0.624734i
$473$	−14.2566	−	4.63224i	−0.655517	−	0.212990i
$474$	2.57343	+	7.92021i	0.118202	+	0.363787i
$475$	1.84719	−	2.54244i	0.0847549	−	0.116655i
$476$	−2.31391	+	7.12150i	−0.106058	+	0.326413i
$477$	5.00948	+	6.89496i	0.229369	+	0.315699i
$478$			0.222425i			0.0101735i
$479$	15.9621	−	5.18641i	0.729328	−	0.236973i	0.0792652	−	0.996854i	$-0.474743\pi$
$479$	15.9621	−	5.18641i	0.729328	−	0.236973i	0.650063	+	0.759881i	$0.274743\pi$
$480$	−9.48972	−	13.0615i	−0.433144	−	0.596172i
$481$	−0.213191	+	0.293432i	−0.00972067	+	0.0133794i
$482$	8.95956	+	6.50950i	0.408097	+	0.296500i
$483$	10.7206			0.487803
$484$	−5.32640	−	3.86986i	−0.242109	−	0.175903i
$485$	14.8133	+	4.81315i	0.672639	+	0.218554i
$486$	−7.21463	+	2.34417i	−0.327262	+	0.106334i
$487$	−19.4322	+	14.1183i	−0.880556	+	0.639761i	−0.933398	−	0.358842i	$-0.883172\pi$
$487$	−19.4322	+	14.1183i	−0.880556	+	0.639761i	0.0528428	+	0.998603i	$0.483172\pi$
$488$	3.94879	−	2.86896i	0.178753	−	0.129872i
$489$		−	12.3153i		−	0.556918i
$490$	−0.418164	−	1.28698i	−0.0188907	−	0.0581396i
$491$	−32.4701			−1.46536			−0.732678	−	0.680576i	$-0.761730\pi$
$491$	−32.4701			−1.46536			−0.732678	+	0.680576i	$0.761730\pi$
$492$	12.3445	−	5.43381i	0.556532	−	0.244975i
$493$	14.6352			0.659138
$494$	−0.0535988	−	0.164960i	−0.00241152	−	0.00742191i
$495$		−	12.6217i		−	0.567302i
$496$	−10.7521	+	7.81184i	−0.482782	+	0.350762i
$497$	12.6432	−	9.18582i	0.567125	−	0.412040i
$498$	1.55076	−	0.503872i	0.0694911	−	0.0225790i
$499$	1.10215	+	0.358110i	0.0493390	+	0.0160312i	0.333583	−	0.942721i	$-0.391742\pi$
$499$	1.10215	+	0.358110i	0.0493390	+	0.0160312i	−0.284244	+	0.958752i	$0.591742\pi$
$500$	−14.2975	−	10.3877i	−0.639404	−	0.464554i
$501$	−18.3492			−0.819780
$502$	−0.825925	−	0.600070i	−0.0368628	−	0.0267824i
$503$	2.59007	−	3.56492i	0.115485	−	0.158952i	−0.747361	−	0.664418i	$-0.768679\pi$
$503$	2.59007	−	3.56492i	0.115485	−	0.158952i	0.862846	+	0.505466i	$0.168679\pi$
$504$	1.74475	+	2.40144i	0.0777172	+	0.106969i
$505$	−15.9242	+	5.17407i	−0.708616	+	0.230243i
$506$			18.9834i			0.843917i
$507$	−9.67074	−	13.3106i	−0.429493	−	0.591146i
$508$	−9.93868	+	30.5881i	−0.440957	+	1.35713i
$509$	−18.8132	+	25.8942i	−0.833882	+	1.14774i	0.153306	+	0.988179i	$0.451008\pi$
$509$	−18.8132	+	25.8942i	−0.833882	+	1.14774i	−0.987188	+	0.159561i	$0.948992\pi$
$510$	2.38172	+	7.33018i	0.105464	+	0.324586i
$511$	−4.48243	−	1.45643i	−0.198291	−	0.0644287i
$512$	6.29348	−	19.3693i	0.278135	−	0.856012i
$513$	−11.9714	+	36.8441i	−0.528549	+	1.62671i
$514$	4.91184	+	1.59595i	0.216652	+	0.0703945i
$515$	−13.2857	−	40.8893i	−0.585439	−	1.80180i
$516$	−4.79903	+	6.60530i	−0.211266	+	0.290782i
$517$	−5.61907	+	17.2937i	−0.247126	+	0.760577i
$518$	2.87322	+	3.95465i	0.126242	+	0.173757i
$519$			2.15584i			0.0946311i
$520$	0.202787	−	0.0658896i	0.00889281	−	0.00288945i
$521$	7.83883	+	10.7892i	0.343425	+	0.472684i	0.945438	−	0.325802i	$-0.105634\pi$
$521$	7.83883	+	10.7892i	0.343425	+	0.472684i	−0.602013	+	0.798487i	$0.705634\pi$
$522$	1.54874	−	2.13166i	0.0677867	−	0.0933004i
$523$	11.8376	+	8.60055i	0.517624	+	0.376076i	0.815708	−	0.578464i	$-0.196348\pi$
$523$	11.8376	+	8.60055i	0.517624	+	0.376076i	−0.298084	+	0.954540i	$0.596348\pi$
$524$	−11.6591			−0.509330
$525$	0.462426	+	0.335973i	0.0201819	+	0.0146630i
$526$	5.15140	+	1.67379i	0.224612	+	0.0729807i
$527$	27.1166	−	8.81072i	1.18122	−	0.383801i
$528$	−8.30654	+	6.03506i	−0.361496	+	0.262642i
$529$	−39.4256	+	28.6444i	−1.71416	+	1.24541i
$530$		−	8.25079i		−	0.358391i
$531$	−2.90278	−	8.93384i	−0.125970	−	0.387696i
$532$	11.5810			0.502101
$533$	0.0276265	+	0.273967i	0.00119664	+	0.0118668i
$534$	4.91971			0.212897
$535$	−6.13919	−	18.8945i	−0.265420	−	0.816880i
$536$		−	17.6023i		−	0.760305i
$537$	22.2807	−	16.1879i	0.961485	−	0.698560i
$538$	−6.22294	+	4.52123i	−0.268290	+	0.194924i
$539$	−3.67806	+	1.19508i	−0.158425	+	0.0514755i
$540$	−20.5703	−	6.68371i	−0.885206	−	0.287621i
$541$	−1.53701	−	1.11671i	−0.0660813	−	0.0480109i	0.554254	−	0.832347i	$-0.313004\pi$
$541$	−1.53701	−	1.11671i	−0.0660813	−	0.0480109i	−0.620336	+	0.784337i	$0.713004\pi$
$542$	1.79938			0.0772899
$543$	−3.33010	−	2.41946i	−0.142908	−	0.103829i
$544$	−14.4483	+	19.8864i	−0.619468	+	0.852624i
$545$	−20.8134	−	28.6472i	−0.891548	−	1.22711i
$546$	0.0300035	−	0.00974872i	0.00128403	−	0.000417207i
$547$			21.1141i			0.902772i	0.892329	+	0.451386i	$0.149070\pi$
$547$			21.1141i			0.902772i	−0.892329	+	0.451386i	$0.850930\pi$
$548$	11.1886	+	15.3998i	0.477954	+	0.657847i
$549$	0.992798	−	3.05552i	0.0423716	−	0.130406i
$550$	−0.594923	+	0.818841i	−0.0253676	+	0.0349155i
$551$	−6.99463	−	21.5272i	−0.297981	−	0.917092i
$552$	21.6519	+	7.03512i	0.921564	+	0.299434i
$553$	3.50793	−	10.7963i	0.149172	−	0.459105i
$554$	2.10510	−	6.47883i	0.0894372	−	0.275259i
$555$	−23.7069	−	7.70283i	−1.00630	−	0.326967i
$556$	−8.53654	−	26.2728i	−0.362030	−	1.11421i
$557$	11.7622	−	16.1892i	0.498379	−	0.685959i	−0.483527	−	0.875329i	$-0.660645\pi$
$557$	11.7622	−	16.1892i	0.498379	−	0.685959i	0.981906	+	0.189370i	$0.0606445\pi$
$558$	1.58625	−	4.88198i	0.0671514	−	0.206671i
$559$	−0.0979753	−	0.134851i	−0.00414391	−	0.00570361i
$560$			4.89724i			0.206946i
$561$	20.9490	−	6.80675i	0.884468	−	0.287381i
$562$	5.71346	+	7.86390i	0.241008	+	0.331719i
$563$	15.7151	−	21.6300i	0.662314	−	0.911597i	−0.337242	−	0.941418i	$-0.609494\pi$
$563$	15.7151	−	21.6300i	0.662314	−	0.911597i	0.999555	+	0.0298216i	$0.00949392\pi$
$564$	8.01247	+	5.82140i	0.337386	+	0.245125i
$565$	−27.2493			−1.14638
$566$	−0.631430	−	0.458761i	−0.0265410	−	0.0192832i
$567$	−2.71317	−	0.881563i	−0.113942	−	0.0370222i
$568$	31.5629	−	10.2554i	1.32435	−	0.430307i
$569$	12.4026	−	9.01101i	0.519944	−	0.377761i	−0.296639	−	0.954990i	$-0.595866\pi$
$569$	12.4026	−	9.01101i	0.519944	−	0.377761i	0.816583	+	0.577229i	$0.195866\pi$
$570$	9.64380	−	7.00663i	0.403934	−	0.293475i
$571$			37.1553i			1.55490i	0.628944	+	0.777450i	$0.283487\pi$
$571$			37.1553i			1.55490i	−0.628944	+	0.777450i	$0.716513\pi$
$572$	−0.0855221	−	0.263210i	−0.00357586	−	0.0110054i
$573$	−14.1947			−0.592992
$574$	3.62665	+	0.786881i	0.151374	+	0.0328438i
$575$	−3.82459			−0.159496
$576$	−0.444398	−	1.36772i	−0.0185166	−	0.0569882i
$577$			18.1851i			0.757057i	0.925590	+	0.378529i	$0.123570\pi$
$577$			18.1851i			0.757057i	−0.925590	+	0.378529i	$0.876430\pi$
$578$	1.52265	−	1.10627i	0.0633338	−	0.0460147i
$579$	−5.62905	+	4.08975i	−0.233935	+	0.169964i
$580$	12.0188	−	3.90516i	0.499055	−	0.162153i
$581$	−2.11389	−	0.686843i	−0.0876988	−	0.0284951i
$582$	3.95919	+	2.87652i	0.164114	+	0.119236i
$583$	−23.5800			−0.976586
$584$	−8.09722	−	5.88297i	−0.335065	−	0.243439i
$585$	0.0824945	−	0.113544i	0.00341073	−	0.00469446i
$586$	5.73146	+	7.88867i	0.236764	+	0.325878i
$587$	−19.5673	+	6.35780i	−0.807628	+	0.262414i	−0.683593	−	0.729863i	$-0.739584\pi$
$587$	−19.5673	+	6.35780i	−0.807628	+	0.262414i	−0.124035	+	0.992278i	$0.539584\pi$
$588$			2.10639i			0.0868662i
$589$	−25.9197	−	35.6754i	−1.06800	−	1.46998i
$590$	−2.81019	+	8.64887i	−0.115694	+	0.356068i
$591$	−12.7357	+	17.5292i	−0.523877	+	0.721055i
$592$	−5.46664	−	16.8246i	−0.224677	−	0.691486i
$593$	−40.9684	−	13.3115i	−1.68237	−	0.546636i	−0.697003	−	0.717068i	$-0.745483\pi$
$593$	−40.9684	−	13.3115i	−1.68237	−	0.546636i	−0.985369	+	0.170433i	$0.945483\pi$
$594$	3.85561	−	11.8663i	0.158197	−	0.486882i
$595$	3.24659	−	9.99199i	0.133097	−	0.409632i
$596$	1.10311	+	0.358422i	0.0451852	+	0.0146816i
$597$	−5.74464	−	17.6802i	−0.235112	−	0.723601i
$598$	−0.124075	+	0.170774i	−0.00507379	+	0.00698347i
$599$	5.28282	−	16.2588i	0.215850	−	0.664318i	−0.783242	−	0.621717i	$-0.786435\pi$
$599$	5.28282	−	16.2588i	0.215850	−	0.664318i	0.999092	−	0.0426013i	$-0.0135645\pi$
$600$	0.713468	+	0.982005i	0.0291272	+	0.0400902i
$601$		−	7.50037i		−	0.305946i	−0.988230	−	0.152973i	$-0.951115\pi$
$601$		−	7.50037i		−	0.305946i	0.988230	−	0.152973i	$-0.0488848\pi$
$602$	−2.13651	+	0.694194i	−0.0870776	+	0.0282932i
$603$	−6.81021	−	9.37346i	−0.277333	−	0.381717i
$604$	−8.36362	+	11.5115i	−0.340311	+	0.468398i
$605$	7.47334	+	5.42970i	0.303834	+	0.220749i
$606$	−5.26080			−0.213705
$607$	0.430395	+	0.312700i	0.0174692	+	0.0126921i	0.596486	−	0.802624i	$-0.296563\pi$
$607$	0.430395	+	0.312700i	0.0174692	+	0.0126921i	−0.579016	+	0.815316i	$0.696563\pi$
$608$	36.1566	+	11.7480i	1.46634	+	0.476444i
$609$	3.91544	−	1.27220i	0.158662	−	0.0515523i
$610$	−2.51627	+	1.82818i	−0.101881	+	0.0740207i
$611$	−0.163580	+	0.118848i	−0.00661773	+	0.00480806i
$612$			10.4667i			0.423089i
$613$	−1.84710	−	5.68479i	−0.0746037	−	0.229607i	0.906800	−	0.421561i	$-0.138518\pi$
$613$	−1.84710	−	5.68479i	−0.0746037	−	0.229607i	−0.981404	+	0.191954i	$0.938518\pi$
$614$	12.8832			0.519922
$615$	−17.3202	+	7.62404i	−0.698419	+	0.307431i
$616$	−8.21266			−0.330897
$617$	−6.90643	−	21.2558i	−0.278042	−	0.855727i	−0.988398	−	0.151884i	$-0.951466\pi$
$617$	−6.90643	−	21.2558i	−0.278042	−	0.855727i	0.710356	−	0.703843i	$-0.248534\pi$
$618$		−	13.5084i		−	0.543389i
$619$	24.3556	−	17.6954i	0.978934	−	0.711237i	0.0214641	−	0.999770i	$-0.493167\pi$
$619$	24.3556	−	17.6954i	0.978934	−	0.711237i	0.957470	+	0.288532i	$0.0931672\pi$
$620$	19.9179	−	14.4712i	0.799920	−	0.581176i
$621$	44.8393	−	14.5692i	1.79934	−	0.584641i
$622$	−6.42031	−	2.08608i	−0.257431	−	0.0836443i
$623$	−5.42544	−	3.94181i	−0.217366	−	0.157925i
$624$	−0.114170			−0.00457046
$625$	21.8871	+	15.9019i	0.875484	+	0.636076i
$626$	−2.94907	+	4.05905i	−0.117869	+	0.162232i
$627$	−20.0243	−	27.5611i	−0.799695	−	1.10069i
$628$	20.0067	−	6.50056i	0.798353	−	0.259401i
$629$			37.9518i			1.51324i
$630$	−1.11180	−	1.53026i	−0.0442951	−	0.0609669i
$631$	13.5543	−	41.7158i	0.539588	−	1.66068i	−0.193934	−	0.981014i	$-0.562125\pi$
$631$	13.5543	−	41.7158i	0.539588	−	1.66068i	0.733522	−	0.679666i	$-0.237875\pi$
$632$	14.1696	−	19.5028i	0.563636	−	0.775779i
$633$	−0.998365	−	3.07265i	−0.0396814	−	0.122127i
$634$	−9.84317	−	3.19824i	−0.390922	−	0.127018i
$635$	13.9447	−	42.9174i	0.553379	−	1.70312i
$636$	−3.96875	+	12.2145i	−0.157371	+	0.484338i
$637$	−0.0408986	−	0.0132888i	−0.00162046	−	0.000526520i
$638$	2.25275	+	6.93326i	0.0891874	+	0.274490i
$639$	12.8399	−	17.6726i	0.507938	−	0.699116i
$640$	−8.31315	+	25.5853i	−0.328606	+	1.01135i
$641$	1.43720	+	1.97813i	0.0567658	+	0.0781315i	0.836456	−	0.548034i	$-0.184624\pi$
$641$	1.43720	+	1.97813i	0.0567658	+	0.0781315i	−0.779690	+	0.626165i	$0.784624\pi$
$642$		−	6.24209i		−	0.246356i
$643$	−27.5456	+	8.95011i	−1.08629	+	0.352958i	−0.796813	−	0.604226i	$-0.793482\pi$
$643$	−27.5456	+	8.95011i	−1.08629	+	0.352958i	−0.289480	+	0.957184i	$0.593482\pi$
$644$	−8.28433	−	11.4024i	−0.326448	−	0.449318i
$645$	6.73340	−	9.26773i	0.265127	−	0.364916i
$646$	−14.6829	−	10.6678i	−0.577692	−	0.419718i
$647$	−22.6726			−0.891353			−0.445676	−	0.895194i	$-0.647037\pi$
$647$	−22.6726			−0.891353			−0.445676	+	0.895194i	$0.647037\pi$
$648$	−4.90116	−	3.56090i	−0.192536	−	0.139886i
$649$	24.7177	+	8.03128i	0.970256	+	0.315255i
$650$	−0.0107038	+	0.00347787i	−0.000419837	+	0.000136413i
$651$	6.48875	−	4.71435i	0.254314	−	0.184770i
$652$	−13.0986	+	9.51667i	−0.512980	+	0.372702i
$653$		−	27.1494i		−	1.06244i	−0.847235	−	0.531219i	$-0.821734\pi$
$653$		−	27.1494i		−	1.06244i	0.847235	−	0.531219i	$-0.178266\pi$
$654$	−3.43802	−	10.5811i	−0.134437	−	0.413755i
$655$	16.3586			0.639183
$656$	−11.6024	−	6.76413i	−0.452999	−	0.264095i
$657$	−6.58795			−0.257020
$658$	0.842083	+	2.59166i	0.0328278	+	0.101034i
$659$			11.4819i			0.447272i	0.974673	+	0.223636i	$0.0717927\pi$
$659$			11.4819i			0.447272i	−0.974673	+	0.223636i	$0.928207\pi$
$660$	15.3876	−	11.1797i	0.598962	−	0.435171i
$661$	−8.93757	+	6.49353i	−0.347631	+	0.252569i	−0.747875	−	0.663840i	$-0.768926\pi$
$661$	−8.93757	+	6.49353i	−0.347631	+	0.252569i	0.400243	+	0.916409i	$0.368926\pi$
$662$	−7.10136	+	2.30737i	−0.276002	+	0.0896786i
$663$	0.232945	+	0.0756884i	0.00904683	+	0.00293949i
$664$	−3.81860	−	2.77437i	−0.148190	−	0.107667i
$665$	−16.2490			−0.630111
$666$	5.52779	+	4.01617i	0.214197	+	0.155623i
$667$	−16.1917	+	22.2860i	−0.626945	+	0.862916i
$668$	14.1793	+	19.5162i	0.548614	+	0.755103i
$669$	22.7298	−	7.38536i	0.878785	−	0.285535i
$670$			11.2167i			0.433337i
$671$	5.22477	+	7.19128i	0.201700	+	0.277616i
$672$	−2.13676	+	6.57628i	−0.0824274	+	0.253685i
$673$	−6.74805	+	9.28789i	−0.260118	+	0.358022i	−0.919023	−	0.394205i	$-0.871020\pi$
$673$	−6.74805	+	9.28789i	−0.260118	+	0.358022i	0.658905	+	0.752227i	$0.271020\pi$
$674$	−2.69210	−	8.28544i	−0.103696	−	0.319143i
$675$	2.39071	+	0.776787i	0.0920183	+	0.0298986i
$676$	−6.68412	+	20.5716i	−0.257081	+	0.791215i
$677$	−8.17224	+	25.1516i	−0.314085	+	0.966653i	0.662045	+	0.749464i	$0.269689\pi$
$677$	−8.17224	+	25.1516i	−0.314085	+	0.966653i	−0.976130	+	0.217189i	$0.930311\pi$
$678$	−8.14259	−	2.64569i	−0.312714	−	0.101607i
$679$	−2.06143	−	6.34442i	−0.0791104	−	0.243477i
$680$	13.1140	−	18.0499i	0.502899	−	0.692181i
$681$	7.77051	−	23.9152i	0.297767	−	0.916431i
$682$	8.34793	+	11.4899i	0.319659	+	0.439973i
$683$			13.7647i			0.526691i	0.964702	+	0.263346i	$0.0848259\pi$
$683$			13.7647i			0.526691i	−0.964702	+	0.263346i	$0.915174\pi$
$684$	15.3956	−	5.00233i	0.588665	−	0.191269i
$685$	−15.6985	−	21.6071i	−0.599807	−	0.825564i
$686$	−0.340661	+	0.468879i	−0.0130065	+	0.0179019i
$687$	25.2212	+	18.3243i	0.962248	+	0.699114i
$688$	8.12991			0.309950
$689$	−0.212125	−	0.154118i	−0.00808132	−	0.00587142i
$690$	−13.7971	−	4.48296i	−0.525247	−	0.170663i
$691$	45.8763	−	14.9061i	1.74522	−	0.567055i	0.749711	−	0.661765i	$-0.230192\pi$
$691$	45.8763	−	14.9061i	1.74522	−	0.567055i	0.995505	+	0.0947097i	$0.0301923\pi$
$692$	2.29296	−	1.66593i	0.0871651	−	0.0633292i
$693$	−4.37334	+	3.17742i	−0.166130	+	0.120700i
$694$			4.28210i			0.162546i
$695$	11.9774	+	36.8626i	0.454329	+	1.39828i
$696$	8.74269			0.331391
$697$	19.1886	+	21.4928i	0.726820	+	0.814099i
$698$	−12.4150			−0.469913
$699$	3.57516	+	11.0032i	0.135225	+	0.416179i
$700$		−	0.751460i		−	0.0284025i
$701$	−15.4914	+	11.2551i	−0.585100	+	0.425100i	−0.840559	−	0.541720i	$-0.817773\pi$
$701$	−15.4914	+	11.2551i	−0.585100	+	0.425100i	0.255459	+	0.966820i	$0.417773\pi$
$702$	0.112243	−	0.0815490i	0.00423632	−	0.00307787i
$703$	55.8240	−	18.1383i	2.10544	−	0.684100i
$704$	3.78413	+	1.22954i	0.142620	+	0.0463400i
$705$	−11.2421	−	8.16786i	−0.423402	−	0.307619i
$706$	−1.07761			−0.0405562
$707$	5.80159	+	4.21510i	0.218191	+	0.158525i
$708$	8.32046	−	11.4521i	0.312702	−	0.430397i
$709$	−0.265212	−	0.365033i	−0.00996024	−	0.0137091i	0.804008	−	0.594619i	$-0.202697\pi$
$709$	−0.265212	−	0.365033i	−0.00996024	−	0.0137091i	−0.813968	+	0.580910i	$0.802697\pi$
$710$	−20.1127	+	6.53500i	−0.754815	+	0.245254i
$711$		−	15.8676i		−	0.595081i
$712$	−8.37079	−	11.5214i	−0.313709	−	0.431783i
$713$	−16.5838	+	51.0398i	−0.621070	+	1.91146i
$714$	1.94029	−	2.67058i	0.0726134	−	0.0999438i
$715$	0.119994	+	0.369303i	0.00448751	+	0.0138111i
$716$	−34.4349	−	11.1886i	−1.28689	−	0.418137i
$717$	−0.150114	+	0.462004i	−0.00560612	+	0.0172539i
$718$	4.73477	−	14.5721i	0.176700	−	0.543826i
$719$	−46.1927	−	15.0089i	−1.72270	−	0.559738i	−0.730334	−	0.683090i	$-0.760636\pi$
$719$	−46.1927	−	15.0089i	−1.72270	−	0.559738i	−0.992363	+	0.123351i	$0.960636\pi$
$720$	2.11532	+	6.51029i	0.0788334	+	0.242624i
$721$	−10.8233	+	14.8970i	−0.403082	+	0.554795i
$722$	−5.27118	+	16.2230i	−0.196173	+	0.603759i
$723$	14.2169	+	19.5678i	0.528731	+	0.727736i
$724$			5.41154i			0.201118i
$725$	−1.39684	+	0.453861i	−0.0518774	+	0.0168560i
$726$	1.70599	+	2.34810i	0.0633154	+	0.0871461i
$727$	11.4340	−	15.7375i	0.424062	−	0.583672i	−0.542515	−	0.840046i	$-0.682528\pi$
$727$	11.4340	−	15.7375i	0.424062	−	0.583672i	0.966578	+	0.256374i	$0.0825279\pi$
$728$	−0.0738807	−	0.0536775i	−0.00273820	−	0.00198942i
$729$	−25.1261			−0.930598
$730$	5.15975	+	3.74878i	0.190971	+	0.138749i
$731$	−16.5877	−	5.38967i	−0.613519	−	0.199344i
$732$	4.60449	−	1.49609i	0.170187	−	0.0552970i
$733$	6.36242	−	4.62257i	0.235001	−	0.170738i	−0.464052	−	0.885808i	$-0.653605\pi$
$733$	6.36242	−	4.62257i	0.235001	−	0.170738i	0.699053	+	0.715069i	$0.253605\pi$
$734$	10.0372	−	7.29242i	0.370478	−	0.269168i
$735$		−	2.95543i		−	0.109013i
$736$	−14.2974	−	44.0027i	−0.527007	−	1.62196i
$737$	32.0562			1.18081
$738$	5.16108	−	0.520438i	0.189982	−	0.0191576i
$739$	45.4173			1.67070			0.835351	−	0.549717i	$-0.185264\pi$
$739$	45.4173			1.67070			0.835351	+	0.549717i	$0.185264\pi$
$740$	10.1268	+	31.1670i	0.372267	+	1.14572i
$741$		−	0.378817i		−	0.0139162i
$742$	−2.85886	+	2.07708i	−0.104952	+	0.0762520i
$743$	−23.8188	+	17.3054i	−0.873827	+	0.634872i	−0.931611	−	0.363457i	$-0.881596\pi$
$743$	−23.8188	+	17.3054i	−0.873827	+	0.634872i	0.0577842	+	0.998329i	$0.481596\pi$
$744$	16.1987	−	5.26328i	0.593874	−	0.192961i
$745$	−1.54775	−	0.502893i	−0.0567050	−	0.0184246i
$746$	6.96784	+	5.06243i	0.255111	+	0.185349i
$747$	−3.10683			−0.113673
$748$	−23.4280	−	17.0215i	−0.856613	−	0.622366i
$749$	−5.00134	+	6.88375i	−0.182745	+	0.251527i
$750$	4.57935	+	6.30293i	0.167214	+	0.230150i
$751$	4.59144	−	1.49185i	0.167544	−	0.0544383i	−0.224044	−	0.974579i	$-0.571926\pi$
$751$	4.59144	−	1.49185i	0.167544	−	0.0544383i	0.391588	+	0.920141i	$0.371926\pi$
$752$		−	9.86188i		−	0.359626i
$753$	−1.31056	−	1.80384i	−0.0477596	−	0.0657354i
$754$	−0.0250497	+	0.0770952i	−0.000912258	+	0.00280764i
$755$	11.7348	−	16.1515i	0.427072	−	0.587815i
$756$	2.86257	+	8.81009i	0.104111	+	0.320420i
$757$	−15.6423	−	5.08248i	−0.568528	−	0.184726i	0.0106267	−	0.999944i	$-0.496617\pi$
$757$	−15.6423	−	5.08248i	−0.568528	−	0.184726i	−0.579155	+	0.815218i	$0.696617\pi$
$758$	−4.87491	+	15.0034i	−0.177065	+	0.544949i
$759$	−12.8119	+	39.4310i	−0.465042	+	1.43125i
$760$	−32.8175	−	10.6630i	−1.19041	−	0.386789i
$761$	12.0443	+	37.0686i	0.436607	+	1.34374i	0.891431	+	0.453156i	$0.149702\pi$
$761$	12.0443	+	37.0686i	0.436607	+	1.34374i	−0.454825	+	0.890581i	$0.650298\pi$
$762$	8.33388	−	11.4706i	0.301905	−	0.415536i
$763$	−4.68647	+	14.4235i	−0.169662	+	0.522165i
$764$	10.9690	+	15.0975i	0.396843	+	0.546208i
$765$		−	14.6855i		−	0.530955i
$766$	15.1040	−	4.90760i	0.545731	−	0.177319i
$767$	0.169868	+	0.233803i	0.00613356	+	0.00844212i
$768$	−3.43732	+	4.73107i	−0.124034	+	0.170718i
$769$	−27.1644	−	19.7361i	−0.979574	−	0.711702i	−0.0219609	−	0.999759i	$-0.506991\pi$
$769$	−27.1644	−	19.7361i	−0.979574	−	0.711702i	−0.957613	+	0.288056i	$0.906991\pi$
$770$	5.23332			0.188596
$771$	9.12540	+	6.62999i	0.328643	+	0.238773i
$772$	8.69971	+	2.82671i	0.313109	+	0.101735i
$773$	−20.6326	+	6.70393i	−0.742102	+	0.241124i	−0.655579	−	0.755126i	$-0.727576\pi$
$773$	−20.6326	+	6.70393i	−0.742102	+	0.241124i	−0.0865228	+	0.996250i	$0.527576\pi$
$774$	−2.54038	+	1.84570i	−0.0913121	+	0.0663421i
$775$	−2.31487	+	1.68185i	−0.0831527	+	0.0604140i
$776$		−	14.1663i		−	0.508541i
$777$	3.29905	+	10.1534i	0.118353	+	0.364253i
$778$	−4.96338			−0.177946
$779$	22.4434	−	38.4969i	0.804118	−	1.37930i
$780$	0.211496			0.00757278
$781$	18.6765	+	57.4802i	0.668296	+	2.05680i
$782$			22.0875i			0.789848i
$783$	14.6476	−	10.6421i	0.523463	−	0.380318i
$784$	1.69687	−	1.23285i	0.0606024	−	0.0440302i
$785$	−28.0708	+	9.12077i	−1.00189	+	0.325534i
$786$	4.88826	+	1.58829i	0.174358	+	0.0566525i
$787$	1.26953	+	0.922369i	0.0452539	+	0.0328789i	0.610182	−	0.792261i	$-0.291096\pi$
$787$	1.26953	+	0.922369i	0.0452539	+	0.0328789i	−0.564928	+	0.825140i	$0.691096\pi$
$788$	28.4856			1.01476
$789$	9.57045	+	6.95334i	0.340717	+	0.247545i
$790$	−9.02923	+	12.4277i	−0.321246	+	0.442157i
$791$	6.85982	+	9.44173i	0.243907	+	0.335709i
$792$	−10.9177	+	3.54739i	−0.387945	+	0.126051i
$793$			0.0988412i			0.00350995i
$794$	−9.87891	−	13.5972i	−0.350589	−	0.482545i
$795$	5.56845	−	17.1379i	0.197492	−	0.607819i
$796$	−14.3655	+	19.7724i	−0.509170	+	0.700813i
$797$	−4.21711	−	12.9789i	−0.149378	−	0.459737i	0.848170	−	0.529724i	$-0.177704\pi$
$797$	−4.21711	−	12.9789i	−0.149378	−	0.459737i	−0.997548	+	0.0699864i	$0.977704\pi$
$798$	−4.85552	−	1.57765i	−0.171884	−	0.0558484i
$799$	−6.53787	+	20.1215i	−0.231293	+	0.711848i
$800$	0.762294	−	2.34610i	0.0269512	−	0.0829472i
$801$	−8.91510	−	2.89669i	−0.315000	−	0.102350i
$802$	−0.684661	−	2.10717i	−0.0241762	−	0.0744068i
$803$	10.7137	−	14.7461i	0.378078	−	0.520379i
$804$	5.39537	−	16.6052i	0.190280	−	0.585622i
$805$	11.6235	+	15.9984i	0.409676	+	0.563870i
$806$			0.157925i			0.00556266i
$807$	−15.9772	+	5.19130i	−0.562424	+	0.182742i
$808$	8.95115	+	12.3202i	0.314900	+	0.433423i
$809$	11.3009	−	15.5543i	0.397318	−	0.546861i	−0.562750	−	0.826627i	$-0.690257\pi$
$809$	11.3009	−	15.5543i	0.397318	−	0.546861i	0.960068	+	0.279766i	$0.0902567\pi$
$810$	3.12315	+	2.26910i	0.109736	+	0.0797280i
$811$	47.8379			1.67981			0.839907	−	0.542730i	$-0.182609\pi$
$811$	47.8379			1.67981			0.839907	+	0.542730i	$0.182609\pi$
$812$	−4.37878	−	3.18137i	−0.153665	−	0.111644i
$813$	3.73753	+	1.21440i	0.131081	+	0.0425908i
$814$	−17.9792	+	5.84179i	−0.630170	+	0.204755i
$815$	18.3783	−	13.3526i	0.643763	−	0.467721i
$816$	−9.66478	+	7.02188i	−0.338335	+	0.245815i
$817$			26.9751i			0.943738i
$818$	−3.74836	−	11.5363i	−0.131058	−	0.403357i
$819$	−0.0601098			−0.00210041
$820$	21.4932	+	12.5303i	0.750573	+	0.437578i
$821$	−25.2770			−0.882172			−0.441086	−	0.897465i	$-0.645407\pi$
$821$	−25.2770			−0.882172			−0.441086	+	0.897465i	$0.645407\pi$
$822$	−2.59312	−	7.98080i	−0.0904454	−	0.278362i
$823$			29.2810i			1.02067i	0.859975	+	0.510336i	$0.170479\pi$
$823$			29.2810i			1.02067i	−0.859975	+	0.510336i	$0.829521\pi$
$824$	−31.6352	+	22.9843i	−1.10206	+	0.800697i
$825$	−1.78836	+	1.29932i	−0.0622628	+	0.0452366i
$826$	3.70424	−	1.20358i	0.128887	−	0.0418779i
$827$	−4.74026	−	1.54020i	−0.164835	−	0.0535581i	0.225437	−	0.974258i	$-0.427619\pi$
$827$	−4.74026	−	1.54020i	−0.164835	−	0.0535581i	−0.390272	+	0.920700i	$0.627619\pi$
$828$	−15.9382	−	11.5798i	−0.553891	−	0.402425i
$829$	−28.7647			−0.999040			−0.499520	−	0.866302i	$-0.666490\pi$
$829$	−28.7647			−0.999040			−0.499520	+	0.866302i	$0.666490\pi$
$830$	2.43331	+	1.76790i	0.0844613	+	0.0613647i
$831$	8.74511	−	12.0366i	0.303365	−	0.417546i
$832$	0.0260057	+	0.0357938i	0.000901585	+	0.00124093i
$833$	−4.27948	+	1.39049i	−0.148275	+	0.0481775i
$834$			12.1782i			0.421695i
$835$	−19.8946	−	27.3826i	−0.688483	−	0.947615i
$836$	−13.8402	+	42.5958i	−0.478674	+	1.47321i
$837$	20.7327	−	28.5362i	0.716629	−	0.986355i
$838$	−5.56469	−	17.1263i	−0.192229	−	0.591620i
$839$	9.97052	+	3.23962i	0.344220	+	0.111844i	0.476025	−	0.879432i	$-0.342077\pi$
$839$	9.97052	+	3.23962i	0.344220	+	0.111844i	−0.131805	+	0.991276i	$0.542077\pi$
$840$	1.93943	−	5.96894i	0.0669166	−	0.205948i
$841$	5.69251	−	17.5197i	0.196293	−	0.604129i
$842$	−2.41422	−	0.784427i	−0.0831994	−	0.0270331i
$843$	6.56023	+	20.1903i	0.225946	+	0.695391i
$844$	−2.49659	+	3.43626i	−0.0859360	+	0.118281i
$845$	9.37831	−	28.8635i	0.322624	−	0.992934i
$846$	2.23890	+	3.08158i	0.0769748	+	0.105947i
$847$		−	3.95636i		−	0.135942i
$848$	12.1627	−	3.95188i	0.417667	−	0.135708i
$849$	−1.00194	−	1.37906i	−0.0343866	−	0.0473291i
$850$	−0.692201	+	0.952733i	−0.0237423	+	0.0326785i
$851$	−57.7915	−	41.9880i	−1.98107	−	1.43933i
$852$	32.9184			1.12777
$853$	−27.6170	−	20.0649i	−0.945588	−	0.687010i	0.00417116	−	0.999991i	$-0.498672\pi$
$853$	−27.6170	−	20.0649i	−0.945588	−	0.687010i	−0.949759	+	0.312981i	$0.898672\pi$
$854$	1.26691	+	0.411643i	0.0433527	+	0.0140861i
$855$	−21.6012	+	7.01864i	−0.738744	+	0.240032i
$856$	−14.6183	+	10.6208i	−0.499642	+	0.363012i
$857$	0.205510	−	0.149312i	0.00702010	−	0.00510040i	−0.584270	−	0.811560i	$-0.698619\pi$
$857$	0.205510	−	0.149312i	0.00702010	−	0.00510040i	0.591290	+	0.806459i	$0.298619\pi$
$858$			0.122005i			0.00416519i
$859$	9.11369	+	28.0490i	0.310955	+	0.957021i	0.977388	+	0.211456i	$0.0678205\pi$
$859$	9.11369	+	28.0490i	0.310955	+	0.957021i	−0.666433	+	0.745565i	$0.732180\pi$
$860$	−15.0604			−0.513555
$861$	7.00194	+	4.08207i	0.238626	+	0.139117i
$862$	9.53301			0.324696
$863$	−16.9014	−	52.0170i	−0.575329	−	1.77068i	−0.635057	−	0.772465i	$-0.719023\pi$
$863$	−16.9014	−	52.0170i	−0.575329	−	1.77068i	0.0597279	−	0.998215i	$-0.480977\pi$
$864$			30.4094i			1.03455i
$865$	−3.21719	+	2.33742i	−0.109388	+	0.0794748i
$866$	1.82744	−	1.32772i	0.0620991	−	0.0451176i
$867$	3.90935	−	1.27022i	0.132768	−	0.0431390i
$868$	−10.0284	−	3.25842i	−0.340385	−	0.110598i
$869$	35.5172	+	25.8047i	1.20484	+	0.875366i
$870$	−5.57107			−0.188877
$871$	0.288376	+	0.209518i	0.00977126	+	0.00709923i
$872$	−18.9301	+	26.0551i	−0.641054	+	0.882336i
$873$	−5.48084	−	7.54373i	−0.185498	−	0.255317i
$874$	32.4889	−	10.5563i	1.09895	−	0.357072i
$875$		−	10.6199i		−	0.359020i
$876$	−5.83533	−	8.03164i	−0.197158	−	0.271364i
$877$	1.19282	−	3.67111i	0.0402786	−	0.123965i	−0.928895	−	0.370342i	$-0.879240\pi$
$877$	1.19282	−	3.67111i	0.0402786	−	0.123965i	0.969174	+	0.246378i	$0.0792404\pi$
$878$	−3.71328	+	5.11089i	−0.125317	+	0.172484i
$879$	6.58089	+	20.2539i	0.221968	+	0.683147i
$880$	−18.0124	−	5.85257i	−0.607196	−	0.197290i
$881$	3.39240	−	10.4407i	0.114293	−	0.351757i	−0.877506	−	0.479566i	$-0.840794\pi$
$881$	3.39240	−	10.4407i	0.114293	−	0.351757i	0.991799	+	0.127808i	$0.0407943\pi$
$882$	−0.250339	+	0.770464i	−0.00842935	+	0.0259429i
$883$	44.8760	+	14.5811i	1.51020	+	0.490693i	0.942973	−	0.332870i	$-0.108017\pi$
$883$	44.8760	+	14.5811i	1.51020	+	0.490693i	0.567225	+	0.823563i	$0.308017\pi$
$884$	−0.0995062	−	0.306248i	−0.00334675	−	0.0103003i
$885$	−11.6742	+	16.0682i	−0.392425	+	0.540126i
$886$	−3.74698	+	11.5320i	−0.125882	+	0.387426i
$887$	−15.7331	−	21.6548i	−0.528267	−	0.727097i	0.458598	−	0.888644i	$-0.348352\pi$
$887$	−15.7331	−	21.6548i	−0.528267	−	0.727097i	−0.986865	+	0.161547i	$0.948352\pi$
$888$			22.6714i			0.760801i
$889$	−18.3811	+	5.97239i	−0.616483	+	0.200308i
$890$	5.33408	+	7.34174i	0.178799	+	0.246096i
$891$	6.48489	−	8.92568i	0.217252	−	0.299022i
$892$	−25.4195	−	18.4684i	−0.851109	−	0.618367i
$893$	32.7217			1.09499
$894$	−0.413669	−	0.300548i	−0.0138352	−	0.0100518i
$895$	48.3148	+	15.6984i	1.61498	+	0.524740i
$896$	10.9579	−	3.56045i	0.366079	−	0.118946i
$897$	−0.372974	+	0.270981i	−0.0124532	+	0.00904780i
$898$	10.1963	−	7.40806i	0.340256	−	0.247210i
$899$			20.6091i			0.687352i
$900$	−0.324587	−	0.998976i	−0.0108196	−	0.0332992i
$901$	−27.4357			−0.914016
$902$	−7.22832	+	12.3987i	−0.240677	+	0.412831i
$903$	−4.90631			−0.163272
$904$	7.65856	+	23.5706i	0.254720	+	0.783947i
$905$		−	7.59279i		−	0.252393i
$906$	5.07476	−	3.68703i	0.168598	−	0.122493i
$907$	−41.9989	+	30.5140i	−1.39455	+	1.01320i	−0.399203	+	0.916862i	$0.630713\pi$
$907$	−41.9989	+	30.5140i	−1.39455	+	1.01320i	−0.995349	+	0.0963387i	$0.969287\pi$
$908$	−31.4408	+	10.2158i	−1.04340	+	0.339022i
$909$	9.53319	+	3.09752i	0.316196	+	0.102738i
$910$	0.0470787	+	0.0342047i	0.00156064	+	0.00113387i
$911$	6.42044			0.212719			0.106359	−	0.994328i	$-0.466081\pi$
$911$	6.42044			0.212719			0.106359	+	0.994328i	$0.466081\pi$
$912$	14.9477	+	10.8601i	0.494968	+	0.359615i
$913$	5.05251	−	6.95418i	0.167214	−	0.230150i
$914$	−8.36499	−	11.5134i	−0.276689	−	0.380830i
$915$	−6.46044	+	2.09912i	−0.213576	+	0.0693949i
$916$		−	40.9853i		−	1.35419i
$917$	−4.11817	−	5.66817i	−0.135994	−	0.187179i
$918$	4.48605	−	13.8067i	0.148062	−	0.455687i
$919$	−20.0770	+	27.6336i	−0.662278	+	0.911548i	−0.999554	−	0.0298579i	$-0.990495\pi$
$919$	−20.0770	+	27.6336i	−0.662278	+	0.911548i	0.337276	+	0.941406i	$0.390495\pi$
$920$	12.9770	+	39.9390i	0.427838	+	1.31675i
$921$	26.7599	+	8.69483i	0.881770	+	0.286504i
$922$	−4.32595	+	13.3139i	−0.142467	+	0.438470i
$923$	−0.207675	+	0.639158i	−0.00683571	+	0.0210381i
$924$	−7.74745	−	2.51730i	−0.254872	−	0.0828131i
$925$	−1.17694	−	3.62226i	−0.0386977	−	0.119099i
$926$	−6.48101	+	8.92034i	−0.212979	+	0.293141i
$927$	−7.95367	+	24.4789i	−0.261233	+	0.803992i
$928$	−10.4436	−	14.3743i	−0.342826	−	0.471860i
$929$			38.7636i			1.27179i	0.771774	+	0.635897i	$0.219370\pi$
$929$			38.7636i			1.27179i	−0.771774	+	0.635897i	$0.780630\pi$
$930$	−10.3222	+	3.35390i	−0.338479	+	0.109979i
$931$	4.09059	+	5.63021i	0.134064	+	0.184523i
$932$	8.94030	−	12.3053i	0.292849	−	0.403072i
$933$	−11.9279	−	8.66611i	−0.390501	−	0.283716i
$934$	−2.20651			−0.0721993
$935$	32.8713	+	23.8824i	1.07501	+	0.781037i
$936$	−0.121401	−	0.0394456i	−0.00396812	−	0.00128932i
$937$	17.0347	−	5.53490i	0.556499	−	0.180817i	−0.0172465	−	0.999851i	$-0.505490\pi$
$937$	17.0347	−	5.53490i	0.556499	−	0.180817i	0.573745	+	0.819034i	$0.305490\pi$
$938$	3.88651	−	2.82372i	0.126899	−	0.0921976i
$939$	−8.86503	+	6.44082i	−0.289299	+	0.210188i
$940$			18.2688i			0.595863i
$941$	−1.31763	−	4.05525i	−0.0429535	−	0.132197i	0.927280	−	0.374368i	$-0.122140\pi$
$941$	−1.31763	−	4.05525i	−0.0429535	−	0.132197i	−0.970234	+	0.242171i	$0.922140\pi$
$942$	−9.27365			−0.302152
$943$	−53.9577	+	5.44104i	−1.75711	+	0.177185i
$944$	−14.0955			−0.458768
$945$	−4.01640	−	12.3612i	−0.130654	−	0.402110i
$946$		−	8.68783i		−	0.282466i
$947$	−11.2876	+	8.20094i	−0.366798	+	0.266495i	−0.755882	−	0.654708i	$-0.772792\pi$
$947$	−11.2876	+	8.20094i	−0.366798	+	0.266495i	0.389084	+	0.921202i	$0.372792\pi$
$948$	19.3448	−	14.0548i	0.628291	−	0.456480i
$949$	0.192760	−	0.0626314i	0.00625724	−	0.00203310i
$950$	1.73222	+	0.562831i	0.0562005	+	0.0182607i
$951$	−18.2870	−	13.2863i	−0.592996	−	0.430837i
$952$	−9.55555			−0.309697
$953$	42.0469	+	30.5489i	1.36203	+	0.989576i	0.998313	+	0.0580679i	$0.0184940\pi$
$953$	42.0469	+	30.5489i	1.36203	+	0.989576i	0.363721	+	0.931508i	$0.381506\pi$
$954$	−2.90333	+	3.99609i	−0.0939987	+	0.129378i
$955$	−15.3903	−	21.1829i	−0.498017	−	0.685462i
$956$	0.607389	−	0.197353i	0.0196443	−	0.00638284i
$957$			15.9216i			0.514673i
$958$	5.71750	+	7.86946i	0.184724	+	0.254251i
$959$	−3.53476	+	10.8789i	−0.114143	+	0.351297i
$960$	−1.78725	+	2.45994i	−0.0576834	+	0.0793943i
$961$	2.82758	+	8.70239i	0.0912122	+	0.280722i
$962$	−0.199922	−	0.0649585i	−0.00644573	−	0.00209434i
$963$	−3.67530	+	11.3114i	−0.118435	+	0.364505i
$964$	9.82627	−	30.2421i	0.316483	−	0.974034i
$965$	−12.2063	−	3.96608i	−0.392936	−	0.127673i
$966$	1.92001	+	5.90918i	0.0617753	+	0.190125i
$967$	33.1703	−	45.6550i	1.06669	−	1.46817i	0.193298	−	0.981140i	$-0.438082\pi$
$967$	33.1703	−	45.6550i	1.06669	−	1.46817i	0.873387	−	0.487026i	$-0.161918\pi$
$968$	2.59627	−	7.99049i	0.0834472	−	0.256824i
$969$	−23.2986	−	32.0678i	−0.748459	−	1.03017i
$970$			9.02713i			0.289844i
$971$	6.84054	−	2.22263i	0.219523	−	0.0713275i	−0.197190	−	0.980365i	$-0.563182\pi$
$971$	6.84054	−	2.22263i	0.219523	−	0.0713275i	0.416714	+	0.909038i	$0.363182\pi$
$972$	12.8027	+	17.6215i	0.410648	+	0.565209i
$973$	9.75749	−	13.4300i	0.312811	−	0.430547i
$974$	−11.2622	−	8.18249i	−0.360865	−	0.262184i
$975$	−0.0245803			−0.000787200
$976$	−3.90017	−	2.83364i	−0.124841	−	0.0907026i
$977$	4.33104	+	1.40724i	0.138562	+	0.0450216i	0.377477	−	0.926019i	$-0.376792\pi$
$977$	4.33104	+	1.40724i	0.138562	+	0.0450216i	−0.238915	+	0.971041i	$0.576792\pi$
$978$	6.78821	−	2.20562i	0.217063	−	0.0705280i
$979$	20.9820	−	15.2443i	0.670589	−	0.487211i
$980$	−3.14339	+	2.28381i	−0.100412	+	0.0729536i
$981$			21.1986i			0.676818i
$982$	−5.81526	−	17.8975i	−0.185572	−	0.571133i
$983$	14.4285			0.460196			0.230098	−	0.973167i	$-0.426095\pi$
$983$	14.4285			0.460196			0.230098	+	0.973167i	$0.426095\pi$
$984$	11.4627	+	12.8392i	0.365419	+	0.409300i
$985$	−39.9674			−1.27347
$986$	2.62111	+	8.06695i	0.0834732	+	0.256904i
$987$			5.95153i			0.189439i
$988$	−0.402909	+	0.292731i	−0.0128183	+	0.00931301i
$989$	26.5590	−	19.2962i	0.844527	−	0.613585i
$990$	6.95707	−	2.26049i	0.221110	−	0.0718430i
$991$	−47.1518	−	15.3205i	−1.49782	−	0.486673i	−0.558442	−	0.829543i	$-0.688601\pi$
$991$	−47.1518	−	15.3205i	−1.49782	−	0.486673i	−0.939383	+	0.342871i	$0.888601\pi$
$992$	−28.0037	−	20.3459i	−0.889120	−	0.645983i
$993$	−16.3077			−0.517508
$994$	7.32757	+	5.32379i	0.232416	+	0.168860i
$995$	20.1558	−	27.7421i	0.638982	−	0.879484i
$996$	−2.75191	−	3.78767i	−0.0871975	−	0.120017i
$997$	47.7084	−	15.5014i	1.51094	−	0.490934i	0.567753	−	0.823199i	$-0.307813\pi$
$997$	47.7084	−	15.5014i	1.51094	−	0.490934i	0.943186	+	0.332265i	$0.107813\pi$
$998$			0.671641i			0.0212604i
$999$	27.5969	+	37.9839i	0.873127	+	1.20176i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.14	✓	88
41.25	even	10	inner	287.2.n.a.148.14	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.14	✓	88	1.1	even	1	trivial
287.2.n.a.148.14	yes	88	41.25	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.179096 + 0.551200i) q^{2} +1.26578i q^{3} +(1.34629 - 0.978135i) q^{4} +(-1.88894 + 1.37240i) q^{5} +(-0.697700 + 0.226697i) q^{6} +(0.951057 + 0.309017i) q^{7} +(1.71802 + 1.24822i) q^{8} +1.39779 q^{9} +O(q^{10})\)	\(q+(0.179096 + 0.551200i) q^{2} +1.26578i q^{3} +(1.34629 - 0.978135i) q^{4} +(-1.88894 + 1.37240i) q^{5} +(-0.697700 + 0.226697i) q^{6} +(0.951057 + 0.309017i) q^{7} +(1.71802 + 1.24822i) q^{8} +1.39779 q^{9} +(-1.09477 - 0.795395i) q^{10} +(-2.27317 + 3.12875i) q^{11} +(1.23811 + 1.70411i) q^{12} +(-0.0408986 + 0.0132888i) q^{13} +0.579566i q^{14} +(-1.73716 - 2.39099i) q^{15} +(0.648146 - 1.99479i) q^{16} +(-2.64487 + 3.64034i) q^{17} +(0.250339 + 0.770464i) q^{18} +(6.61871 + 2.15055i) q^{19} +(-1.20067 + 3.69528i) q^{20} +(-0.391149 + 1.20383i) q^{21} +(-2.13168 - 0.692626i) q^{22} +(-2.61723 - 8.05499i) q^{23} +(-1.57997 + 2.17464i) q^{24} +(0.139543 - 0.429469i) q^{25} +(-0.0146496 - 0.0201634i) q^{26} +5.56665i q^{27} +(1.58266 - 0.514236i) q^{28} +(-1.91176 - 2.63131i) q^{29} +(1.00680 - 1.38574i) q^{30} +(-5.12627 - 3.72445i) q^{31} +5.46279 q^{32} +(-3.96032 - 2.87734i) q^{33} +(-2.48024 - 0.805880i) q^{34} +(-2.22058 + 0.721511i) q^{35} +(1.88183 - 1.36723i) q^{36} +(6.82347 - 4.95754i) q^{37} +4.03339i q^{38} +(-0.0168207 - 0.0517688i) q^{39} -4.95829 q^{40} +(1.35771 - 6.25753i) q^{41} -0.733605 q^{42} +(1.19778 + 3.68639i) q^{43} +6.43566i q^{44} +(-2.64035 + 1.91833i) q^{45} +(3.97118 - 2.88523i) q^{46} +(4.47173 - 1.45295i) q^{47} +(2.52497 + 0.820412i) q^{48} +(0.809017 + 0.587785i) q^{49} +0.261715 q^{50} +(-4.60789 - 3.34783i) q^{51} +(-0.0420631 + 0.0578949i) q^{52} +(3.58385 + 4.93275i) q^{53} +(-3.06834 + 0.996964i) q^{54} -9.02971i q^{55} +(1.24822 + 1.71802i) q^{56} +(-2.72213 + 8.37785i) q^{57} +(1.10799 - 1.52502i) q^{58} +(-2.07669 - 6.39139i) q^{59} +(-4.67742 - 1.51979i) q^{60} +(0.710261 - 2.18596i) q^{61} +(1.13483 - 3.49264i) q^{62} +(1.32938 + 0.431942i) q^{63} +(-0.317929 - 0.978484i) q^{64} +(0.0590177 - 0.0812309i) q^{65} +(0.876714 - 2.69825i) q^{66} +(-4.87212 - 6.70590i) q^{67} +7.48799i q^{68} +(10.1959 - 3.31284i) q^{69} +(-0.795395 - 1.09477i) q^{70} +(9.18582 - 12.6432i) q^{71} +(2.40144 + 1.74475i) q^{72} -4.71311 q^{73} +(3.95465 + 2.87322i) q^{74} +(0.543615 + 0.176631i) q^{75} +(11.0142 - 3.57874i) q^{76} +(-3.12875 + 2.27317i) q^{77} +(0.0255225 - 0.0185432i) q^{78} -11.3519i q^{79} +(1.51333 + 4.65755i) q^{80} -2.85280 q^{81} +(3.69231 - 0.372328i) q^{82} -2.22267 q^{83} +(0.650911 + 2.00330i) q^{84} -10.5062i q^{85} +(-1.81742 + 1.32044i) q^{86} +(3.33067 - 2.41988i) q^{87} +(-7.81070 + 2.53785i) q^{88} +(-6.37798 - 2.07233i) q^{89} +(-1.53026 - 1.11180i) q^{90} -0.0430034 q^{91} +(-11.4024 - 8.28433i) q^{92} +(4.71435 - 6.48875i) q^{93} +(1.60174 + 2.20460i) q^{94} +(-15.4538 + 5.02123i) q^{95} +6.91471i q^{96} +(-3.92107 - 5.39689i) q^{97} +(-0.179096 + 0.551200i) q^{98} +(-3.17742 + 4.37334i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

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